#
Functionally Graded

功能分级

学术写作例句词典

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## Functionally Graded sentence examples within carbon nanotube reinforced

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In this paper, a first known study on the large deformation dynamic behavior of functionally graded carbon nanotube-reinforced (CNTR) nanocomposite cylinder considering the particle/matrix interphase property is presented.
在本文中，首次对功能梯度碳纳米管增强 (CNTR) 纳米复合圆柱体的大变形动力学行为进行了研究，该研究考虑了颗粒/基体界面特性。

在本文中，首次对功能梯度碳纳米管增强 (CNTR) 纳米复合圆柱体的大变形动力学行为进行了研究，该研究考虑了颗粒/基体界面特性。

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On the basis of that, an accurate and analytical method for investigation the dynamic instability of laminated functionally graded carbon nanotube reinforced composite (FG-CNTRC) conical shell surrounded by the elastic foundations is presented in this work based on the first-order shear deformation theory.
在此基础上，基于一阶剪切变形理论，提出了一种精确的分析方法，用于研究弹性地基包围的层状功能梯度碳纳米管增强复合材料（FG-CNTRC）锥壳的动态不稳定性。 .

在此基础上，基于一阶剪切变形理论，提出了一种精确的分析方法，用于研究弹性地基包围的层状功能梯度碳纳米管增强复合材料（FG-CNTRC）锥壳的动态不稳定性。 .

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## Functionally Graded sentence examples within finite element method

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OBJECTIVE: The aim of this work is to present the methodology for grading the Functionally Graded Material (FGM) using Level Set (LS) sign distance function around the multiple holes and parametrically analyse the maximum stresses for a pair of inclined unequal circular holes surrounded by the FGM layer in an infinite plate subjected to uniaxial tensile load using the Extended Finite Element Method (XFEM).
目的：这项工作的目的是介绍使用水平集 (LS) 符号距离函数对多个孔周围的功能梯度材料 (FGM) 进行分级的方法，并参数化分析被包围的一对倾斜不等圆孔的最大应力无限板中的 FGM 层使用扩展有限元法 (XFEM) 承受单轴拉伸载荷。

目的：这项工作的目的是介绍使用水平集 (LS) 符号距离函数对多个孔周围的功能梯度材料 (FGM) 进行分级的方法，并参数化分析被包围的一对倾斜不等圆孔的最大应力无限板中的 FGM 层使用扩展有限元法 (XFEM) 承受单轴拉伸载荷。

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In this paper, the free vibration of the functionally graded porous (FGP) non-uniform annular-nanoplates lying on Winkler foundation (WF) is studied by using the smoothed finite element method based on the first-order shear deformation theory (FSDT).
本文采用基于一阶剪切变形理论（FSDT）的平滑有限元方法研究了功能梯度多孔（FGP）非均匀环形纳米板在Winkler地基（WF）上的自由振动。

本文采用基于一阶剪切变形理论（FSDT）的平滑有限元方法研究了功能梯度多孔（FGP）非均匀环形纳米板在Winkler地基（WF）上的自由振动。

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## Functionally Graded sentence examples within higher order shear

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In this paper, a higher order shear deformation theory for bending analysis of functionally graded plates resting on Pasternak foundation and under various boundary conditions is exposed.
在本文中，提出了一种高阶剪切变形理论，用于在帕斯捷尔纳克基础上和各种边界条件下进行功能梯度板的弯曲分析。

在本文中，提出了一种高阶剪切变形理论，用于在帕斯捷尔纳克基础上和各种边界条件下进行功能梯度板的弯曲分析。

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This paper introduces a comprehensive investigation of bi-directional functionally graded sandwich plates using higher-order shear deformation theory and finite element method for the first time.
本文首次采用高阶剪切变形理论和有限元方法对双向功能梯度夹层板进行了综合研究。

本文首次采用高阶剪切变形理论和有限元方法对双向功能梯度夹层板进行了综合研究。

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## Functionally Graded sentence examples within first order shear

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Based on the geometrically exact beam theory, a first-order shear deformable curved beam element is developed for geometrically nonlinear analysis of functionally graded (FG) curved beams.
基于几何精确梁理论，开发了一种一阶剪切可变形曲梁单元，用于功能梯度（FG）曲梁的几何非线性分析。

基于几何精确梁理论，开发了一种一阶剪切可变形曲梁单元，用于功能梯度（FG）曲梁的几何非线性分析。

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This article proposes a general method to investigate the vibration characteristics of functionally graded corrugated plate structure (FGCPS) according to first-order shear deformation theory (FSDT) by adopting differential quadrature finite element method (DQFEM).
根据一阶剪切变形理论（FSDT），采用微分求积有限元法（DQFEM），提出了一种研究功能梯度波纹板结构（FGCPS）振动特性的通用方法。

根据一阶剪切变形理论（FSDT），采用微分求积有限元法（DQFEM），提出了一种研究功能梯度波纹板结构（FGCPS）振动特性的通用方法。

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## Functionally Graded sentence examples within nonlocal strain gradient

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The main goal of this research paper is to present the modeling and analysis of bi-directional functionally graded (BDFG) nanobeams within the framework of the Timoshenko beam theory and nonlocal strain gradient theory.
本研究论文的主要目标是在 Timoshenko 梁理论和非局部应变梯度理论的框架内介绍双向功能梯度 (BDFG) 纳米梁的建模和分析。

本研究论文的主要目标是在 Timoshenko 梁理论和非局部应变梯度理论的框架内介绍双向功能梯度 (BDFG) 纳米梁的建模和分析。

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A mathematical model for bi-directional functionally graded Euler-Bernoulli nanobeams has been developed based on nonlocal strain gradient theory intervened with Gurtin-Murdoch surface elasticity theory.
基于非局部应变梯度理论和 Gurtin-Murdoch 表面弹性理论，建立了双向功能梯度 Euler-Bernoulli 纳米梁的数学模型。

基于非局部应变梯度理论和 Gurtin-Murdoch 表面弹性理论，建立了双向功能梯度 Euler-Bernoulli 纳米梁的数学模型。

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## Functionally Graded sentence examples within graphene platelets reinforced

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In this study, the effect of nonlinear temperature gradient on the natural frequencies of functionally graded graphene platelets reinforced composite (FG-GPLRC) viscoelastic plate embedded in the v.
在这项研究中，非线性温度梯度对嵌入 v 中的功能梯度石墨烯薄片增强复合材料 (FG-GPLRC) 粘弹性板的固有频率的影响。

在这项研究中，非线性温度梯度对嵌入 v 中的功能梯度石墨烯薄片增强复合材料 (FG-GPLRC) 粘弹性板的固有频率的影响。

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The present work focuses on the size-dependent postbuckling characteristics of functionally graded (FG) graphene platelets reinforced composite (GPLRC) multilayer microtubes containing initial geometrical imperfection.
目前的工作侧重于包含初始几何缺陷的功能梯度 (FG) 石墨烯薄片增强复合材料 (GPLRC) 多层微管的尺寸相关后屈曲特性。

目前的工作侧重于包含初始几何缺陷的功能梯度 (FG) 石墨烯薄片增强复合材料 (GPLRC) 多层微管的尺寸相关后屈曲特性。

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## Functionally Graded sentence examples within shear deformation theory

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This work is the first exploration using the new shear deformation theory-type hyperbolic sine functions to carry out the free vibration analysis of the rotating functionally graded graphene beam resting on the elastic foundation taking into account the effects of both temperature and the initial geometrical imperfection.
这项工作是首次使用新的剪切变形理论型双曲正弦函数对基于弹性基础的旋转功能梯度石墨烯梁进行自由振动分析，同时考虑了温度和初始几何缺陷的影响。

这项工作是首次使用新的剪切变形理论型双曲正弦函数对基于弹性基础的旋转功能梯度石墨烯梁进行自由振动分析，同时考虑了温度和初始几何缺陷的影响。

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A new shear deformation theory is introduced to conduct free vibration analysis of the functionally graded plates with simply supported boundary conditions.
引入一种新的剪切变形理论，对具有简支边界条件的功能梯度板进行自由振动分析。

引入一种新的剪切变形理论，对具有简支边界条件的功能梯度板进行自由振动分析。

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## Functionally Graded sentence examples within magneto electro elastic

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The studied sandwich structure is consisted of a viscoelastic core that is located between the faces of functionally graded magneto-electro-elastic (FG-MEE).
所研究的夹层结构由位于功能梯度磁电弹性 (FG-MEE) 表面之间的粘弹性芯组成。

所研究的夹层结构由位于功能梯度磁电弹性 (FG-MEE) 表面之间的粘弹性芯组成。

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In the paper, a novel magneto electro elastic ( model of bi-directional ( 2 D) functionally graded material s (FGM s ) beam s is developed for investigating the nonlinear dynamics It is shown that the asymmetric modes induced by the 2D FGM s may significantly affect the nonlinear dynamic responses which is tremendously different from previous studies Taking into account the geometric nonlinearity, the nonlinear equation of motion and associated boundary conditions for the beam s are derived according to the Hamilton’s principle The linear frequencies and modes of the beam s are numerically calculated by the generalized differential quadrature method (GDQM) GDQM).
在本文中，为了研究非线性动力学，开发了一种新型磁电弹性（双向（2D）功能梯度材料s（FGM s）梁s模型。表明由2D FGM s引起的不对称模式可能显着影响非线性动力响应这与以前的研究有很大不同考虑到几何非线性，根据哈密顿原理推导出梁s的非线性运动方程和相关边界条件梁s的线性频率和模式为通过广义微分求积法 (GDQM) GDQM) 进行数值计算。

在本文中，为了研究非线性动力学，开发了一种新型磁电弹性（双向（2D）功能梯度材料s（FGM s）梁s模型。表明由2D FGM s引起的不对称模式可能显着影响非线性动力响应这与以前的研究有很大不同考虑到几何非线性，根据哈密顿原理推导出梁s的非线性运动方程和相关边界条件梁s的线性频率和模式为通过广义微分求积法 (GDQM) GDQM) 进行数值计算。

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## Functionally Graded sentence examples within high order shear

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The buckling behavior of functionally graded rectangular plates under mechanical and thermal loading is investigated using a four-node finite element based on a simple high-order shear deformation theory.
使用基于简单高阶剪切变形理论的四节点有限元研究了功能梯度矩形板在机械和热载荷下的屈曲行为。

使用基于简单高阶剪切变形理论的四节点有限元研究了功能梯度矩形板在机械和热载荷下的屈曲行为。

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In the present study, a simple four-node high-order shear deformation plate bending element based on modified first-order shear deformation theory has been developed to analyze functionally graded plates subjected to both sinusoidal or uniformly distributed transversal loads.
在本研究中，基于修正的一阶剪切变形理论开发了一种简单的四节点高阶剪切变形板弯曲单元，用于分析承受正弦或均匀分布横向载荷的功能梯度板。

在本研究中，基于修正的一阶剪切变形理论开发了一种简单的四节点高阶剪切变形板弯曲单元，用于分析承受正弦或均匀分布横向载荷的功能梯度板。

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## Functionally Graded sentence examples within finite element model

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In this research, a layerwise based finite element model is presented to obtain the transient responses for functionally graded material sandwich (FGM-SW) plates under blast load.
在这项研究中，提出了一种基于分层的有限元模型，以获得爆炸载荷下功能梯度材料夹层 (FGM-SW) 板的瞬态响应。

在这项研究中，提出了一种基于分层的有限元模型，以获得爆炸载荷下功能梯度材料夹层 (FGM-SW) 板的瞬态响应。

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In this study, an efficient nonlocal finite element model is developed to investigate the bending and buckling behavior of functionally graded (FG) nanobeams.
在这项研究中，开发了一种有效的非局部有限元模型来研究功能梯度 (FG) 纳米梁的弯曲和屈曲行为。

在这项研究中，开发了一种有效的非局部有限元模型来研究功能梯度 (FG) 纳米梁的弯曲和屈曲行为。

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## Functionally Graded sentence examples within directed energy deposition

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ABSTRACT Directed energy deposition (DED) shows outstanding advantages in manufacturing complex and functionally graded parts.
摘要 定向能量沉积 (DED) 在制造复杂和功能分级零件方面显示出突出的优势。

摘要 定向能量沉积 (DED) 在制造复杂和功能分级零件方面显示出突出的优势。

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An additive manufacturing (AM) functionally graded tungsten carbide using laser directed energy deposition (L-DED) is developed in an integrated numerically controlled multi-axis machining center with multi-material feeding capability.
一种使用激光定向能量沉积 (L-DED) 的增材制造 (AM) 功能梯度碳化钨是在具有多材料进给能力的集成数控多轴加工中心中开发的。

一种使用激光定向能量沉积 (L-DED) 的增材制造 (AM) 功能梯度碳化钨是在具有多材料进给能力的集成数控多轴加工中心中开发的。

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## Functionally Graded sentence examples within graphene platelet reinforced

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Presented herein is a novel numerical approach for the vibrational analysis of conical panels with arbitrary-shaped holes made of functionally graded graphene platelet-reinforced composite (FG-GPLRC) within the framework of higher-order shear deformation theory (HSDT).
本文介绍了一种新的数值方法，用于在高阶剪切变形理论 (HSDT) 的框架内对具有任意形状孔的锥形板进行振动分析，该孔由功能梯度石墨烯板增强复合材料 (FG-GPLRC) 制成。

本文介绍了一种新的数值方法，用于在高阶剪切变形理论 (HSDT) 的框架内对具有任意形状孔的锥形板进行振动分析，该孔由功能梯度石墨烯板增强复合材料 (FG-GPLRC) 制成。

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It is also assumed that the panel is made of functionally graded graphene platelet-reinforced composite with various patterns for the distribution of GPLs along the thickness direction whose effective properties are estimated using the modified Halpin–Tsai model in conjunction with the rule of mixture.
还假设面板由功能梯度石墨烯片状增强复合材料制成，具有各种模式，用于 GPL 沿厚度方向的分布，其有效特性是使用改进的 Halpin-Tsai 模型结合混合规则估计的。

还假设面板由功能梯度石墨烯片状增强复合材料制成，具有各种模式，用于 GPL 沿厚度方向的分布，其有效特性是使用改进的 Halpin-Tsai 模型结合混合规则估计的。

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## Functionally Graded sentence examples within nonlinear free vibration

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This paper investigates the nonlinear free vibration and nonlinear dynamic hygrothermal buckling behavior of imperfect functionally graded carbon nanotube-reinforced composite (FG-CNTRC) cylindrical panels under hygrothermal environment.
本文研究了湿热环境下不完美功能梯度碳纳米管增强复合材料（FG-CNTRC）圆柱板的非线性自由振动和非线性动态湿热屈曲行为。

本文研究了湿热环境下不完美功能梯度碳纳米管增强复合材料（FG-CNTRC）圆柱板的非线性自由振动和非线性动态湿热屈曲行为。

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The present study develops a size-dependent Euler–Bernoulli beam model to analyze the nonlinear free vibration of a bidirectional functionally graded (BFG) nanobeam with immovable ends, based on the nonlocal theory.
本研究基于非局部理论开发了一个尺寸相关的 Euler-Bernoulli 梁模型，以分析具有固定端部的双向功能梯度 (BFG) 纳米梁的非线性自由振动。

本研究基于非局部理论开发了一个尺寸相关的 Euler-Bernoulli 梁模型，以分析具有固定端部的双向功能梯度 (BFG) 纳米梁的非线性自由振动。

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## Functionally Graded sentence examples within carbon nanotubes reinforced

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This work studies the dynamic response of Bernoulli–Euler multilayered polymer functionally graded carbon nanotubes-reinforced composite nano-beams subjected to hygro-thermal environments.
这项工作研究了 Bernoulli-Euler 多层聚合物功能梯度碳纳米管增强复合纳米梁在湿热环境下的动态响应。

这项工作研究了 Bernoulli-Euler 多层聚合物功能梯度碳纳米管增强复合纳米梁在湿热环境下的动态响应。

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Also, the twisting deformation of torsion nanobeam can be tuned by functionally graded carbon nanotubes reinforced composites (FG-CNTRC).
此外，扭转纳米梁的扭曲变形可以通过功能梯度碳纳米管增强复合材料（FG-CNTRC）来调节。

此外，扭转纳米梁的扭曲变形可以通过功能梯度碳纳米管增强复合材料（FG-CNTRC）来调节。

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## Functionally Graded sentence examples within nonlocal elasticity theory

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In this article, we explore a three-dimensional solid isogeometric analysis (3D-IGA) approach based on a nonlocal elasticity theory to investigate size effects on natural frequency and critical buckling load for multi-directional functionally graded (FG) nanoshells.
在本文中，我们探索了一种基于非局部弹性理论的三维立体等几何分析 (3D-IGA) 方法，以研究尺寸对多向功能梯度 (FG) 纳米壳的固有频率和临界屈曲载荷的影响。

在本文中，我们探索了一种基于非局部弹性理论的三维立体等几何分析 (3D-IGA) 方法，以研究尺寸对多向功能梯度 (FG) 纳米壳的固有频率和临界屈曲载荷的影响。

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In this article, the bending analysis of flexoelectric functionally graded (FG) microbeams according to nonlocal elasticity theory is verified.
本文验证了基于非局部弹性理论的柔性功能梯度（FG）微梁的弯曲分析。

本文验证了基于非局部弹性理论的柔性功能梯度（FG）微梁的弯曲分析。

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## Functionally Graded sentence examples within free vibration behavior

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ABSTRACT Free vibration behaviors of a functionally graded (FG) disk-shaft rotor system reinforced with graphene nanoplatelet (GPL) resting on elastic supports are investigated in this paper.
摘要 本文研究了基于弹性支撑的石墨烯纳米片 (GPL) 增强的功能梯度 (FG) 盘轴转子系统的自由振动行为。

摘要 本文研究了基于弹性支撑的石墨烯纳米片 (GPL) 增强的功能梯度 (FG) 盘轴转子系统的自由振动行为。

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This work presents an investigation on the free vibration behavior of rotating pre-twisted functionally graded graphene platelets reinforced composite (FG-GPLRC) laminated blades/beams with an atta.
这项工作研究了旋转预扭曲功能梯度石墨烯薄片增强复合材料 (FG-GPLRC) 层压叶片/梁的自由振动行为。

这项工作研究了旋转预扭曲功能梯度石墨烯薄片增强复合材料 (FG-GPLRC) 层压叶片/梁的自由振动行为。

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## Functionally Graded sentence examples within refined plate theory

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In this paper, the size-dependent analysis of geometrically imperfect porous functionally graded (FG) nanoplates is studied by an isogeometric approach based on a new refined plate theory.
在本文中，基于新的精细板理论的等几何方法研究了几何不完美多孔功能梯度（FG）纳米板的尺寸依赖性分析。

在本文中，基于新的精细板理论的等几何方法研究了几何不完美多孔功能梯度（FG）纳米板的尺寸依赖性分析。

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In this study, static analysis of functionally graded (FG) sandwich plates is performed using the finite strip method based on the refined plate theory (RPT).
在这项研究中，使用基于精板理论 (RPT) 的有限条带方法对功能梯度 (FG) 夹层板进行静态分析。

在这项研究中，使用基于精板理论 (RPT) 的有限条带方法对功能梯度 (FG) 夹层板进行静态分析。

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## Functionally Graded sentence examples within size dependent nonlinear

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In the present paper, a continuous-based electromechanical model has been developed by the Kirchhoff plate's theory and the modified flexoelectric theory in order to study the size-dependent nonlinear free vibration of functionally graded flexoelectric nano-plate.
本文利用基尔霍夫板理论和修正的挠曲电理论建立了基于连续的机电模型，以研究功能梯度挠曲电纳米板的尺寸相关非线性自由振动。

本文利用基尔霍夫板理论和修正的挠曲电理论建立了基于连续的机电模型，以研究功能梯度挠曲电纳米板的尺寸相关非线性自由振动。

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This study presents the size-dependent nonlinear thermal postbuckling characteristics of a porous functionally graded material (PFGM) microplate with a central cutout with various shapes using isogeometric numerical technique incorporating non-uniform rational B-splines.
本研究使用包含非均匀有理 B 样条的等几何数值技术展示了具有各种形状的中央切口的多孔功能梯度材料 (PFGM) 微板的尺寸相关非线性热后屈曲特性。

本研究使用包含非均匀有理 B 样条的等几何数值技术展示了具有各种形状的中央切口的多孔功能梯度材料 (PFGM) 微板的尺寸相关非线性热后屈曲特性。

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## Functionally Graded sentence examples within boundary element method

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The paper describes the Field Boundary Element Method applied to the fracture analysis of a 2D rectangular plate made of Functionally Graded Material to calculate Mode I Stress Intensity Factor.
本文介绍了场边界元法应用于由功能梯度材料制成的二维矩形板的断裂分析，以计算模式 I 应力强度因子。

本文介绍了场边界元法应用于由功能梯度材料制成的二维矩形板的断裂分析，以计算模式 I 应力强度因子。

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A domain-boundary element method, based on modified couple stress theory, is developed for transient dynamic analysis of functionally graded micro-beams.
基于修正耦合应力理论的域边界元方法被开发用于功能梯度微梁的瞬态动态分析。

基于修正耦合应力理论的域边界元方法被开发用于功能梯度微梁的瞬态动态分析。

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## Functionally Graded sentence examples within scaled boundary finite

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In this research, free and forced vibrations of the functionally graded material (FGM) sandwich beams are investigated by using the scaled boundary finite element method (SBFEM).
在这项研究中，使用比例边界有限元法 (SBFEM) 研究了功能梯度材料 (FGM) 夹层梁的自由和受迫振动。

在这项研究中，使用比例边界有限元法 (SBFEM) 研究了功能梯度材料 (FGM) 夹层梁的自由和受迫振动。

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For the stability analysis of functionally graded material (FGM) sandwich plates, a semi-analytical scaled boundary finite element method (SBFEM) is established within the frame work of layerwise t.
对于功能梯度材料（FGM）夹层板的稳定性分析，在分层t的框架内建立了半解析比例边界有限元法（SBFEM）。

对于功能梯度材料（FGM）夹层板的稳定性分析，在分层t的框架内建立了半解析比例边界有限元法（SBFEM）。

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## Functionally Graded sentence examples within sandwich cylindrical shell

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The main objective of this research work is focused on acoustic radiation analysis of functionally graded material (FGM) sandwich cylindrical shell structure reinforced by periodically eccentrically ring stiffeners.
本研究工作的主要目的是对周期性偏心环形加强筋增强的功能梯度材料 (FGM) 夹层圆柱壳结构的声辐射分析。

本研究工作的主要目的是对周期性偏心环形加强筋增强的功能梯度材料 (FGM) 夹层圆柱壳结构的声辐射分析。

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The nonlinear forced vibrations of functionally graded material (FGM) sandwich cylindrical shells with porosities on an elastic substrate are studied.
nan

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## Functionally Graded sentence examples within shape memory alloy

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A new model is developed for bending of functionally graded (FG) porous shape memory alloy (SMA)/poroelastic composite cantilever beams.
开发了一种用于弯曲功能梯度 (FG) 多孔形状记忆合金 (SMA)/多孔弹性复合悬臂梁的新模型。

开发了一种用于弯曲功能梯度 (FG) 多孔形状记忆合金 (SMA)/多孔弹性复合悬臂梁的新模型。

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This paper focuses on the size-dependent behaviors of functionally graded shape memory alloy (FG-SMA) microbeams based on the Bernoulli-Euler beam theory.
本文重点研究基于伯努利-欧拉梁理论的功能梯度形状记忆合金 (FG-SMA) 微梁的尺寸相关行为。

本文重点研究基于伯努利-欧拉梁理论的功能梯度形状记忆合金 (FG-SMA) 微梁的尺寸相关行为。

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## Functionally Graded sentence examples within rotor bearing system

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The present study aims to carry out finite element analysis to investigate the natural and whirl frequencies of a functionally graded (FG) rotor-bearing system modeled following the exponential law gradation.
本研究旨在进行有限元分析，以研究按照指数规律梯度建模的功能梯度 (FG) 转子轴承系统的自然频率和涡动频率。

本研究旨在进行有限元分析，以研究按照指数规律梯度建模的功能梯度 (FG) 转子轴承系统的自然频率和涡动频率。

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The present work aims to analyze the natural and whirl frequencies of a slant-cracked functionally graded rotor-bearing system using finite element analysis for the flexural vibrations.
目前的工作旨在使用弯曲振动的有限元分析来分析倾斜裂纹功能梯度转子轴承系统的固有频率和涡动频率。

目前的工作旨在使用弯曲振动的有限元分析来分析倾斜裂纹功能梯度转子轴承系统的固有频率和涡动频率。

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## Functionally Graded sentence examples within quasi three dimensional

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This work proposes a novel quasi three-dimensional (3D) approach for the bending analysis of moderately thick plates with a functionally graded material (FGM), in presence of porosities due to some incorrect manufacturing processes.
这项工作提出了一种新的准三维 (3D) 方法，用于对具有功能梯度材料 (FGM) 的中等厚度板的弯曲分析，由于一些不正确的制造工艺而存在孔隙。

这项工作提出了一种新的准三维 (3D) 方法，用于对具有功能梯度材料 (FGM) 的中等厚度板的弯曲分析，由于一些不正确的制造工艺而存在孔隙。

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In this work, the bending behavior of functionally graded (FG) porous plates connected with a layer made of piezoelectric fiber-reinforced composite (PFRC) on the upper surface is presented via a quasi-three dimensional (3D) refined shear and normal deformation theory.
在这项工作中，通过准三维 (3D) 精细剪切和法向变形理论，提出了与上表面由压电纤维增强复合材料 (PFRC) 制成的层连接的功能梯度 (FG) 多孔板的弯曲行为。 .

在这项工作中，通过准三维 (3D) 精细剪切和法向变形理论，提出了与上表面由压电纤维增强复合材料 (PFRC) 制成的层连接的功能梯度 (FG) 多孔板的弯曲行为。 .

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## Functionally Graded sentence examples within single walled carbon

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This analytical work deals with the dynamic analysis of the functionally graded composite plate reinforced with single walled carbon nanotubes is discussed in this article.
该分析工作涉及单壁碳纳米管增强的功能梯度复合板的动态分析，本文将对此进行讨论。

该分析工作涉及单壁碳纳米管增强的功能梯度复合板的动态分析，本文将对此进行讨论。

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This article presents continuous interlaminar shear stress analysis of laminated beams with functionally graded single-walled carbon nanotube reinforced composite (FG-CNTRC) layers based on an exte.
本文介绍了基于 exte 的具有功能梯度单壁碳纳米管增强复合材料 (FG-CNTRC) 层的叠层梁的连续层间剪应力分析。

本文介绍了基于 exte 的具有功能梯度单壁碳纳米管增强复合材料 (FG-CNTRC) 层的叠层梁的连续层间剪应力分析。

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## Functionally Graded sentence examples within higher shear deformation

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In this work a novel integral higher shear deformation theory (HSDT) which introducing the transverse shear effect is developed for thermoelastic bending analysis of Titanium/Zirconia power-law functionally graded (P-FG) sandwich plates.
在这项工作中，开发了一种引入横向剪切效应的新型积分高剪切变形理论 (HSDT)，用于钛/氧化锆幂律功能梯度 (P-FG) 夹层板的热弹性弯曲分析。

在这项工作中，开发了一种引入横向剪切效应的新型积分高剪切变形理论 (HSDT)，用于钛/氧化锆幂律功能梯度 (P-FG) 夹层板的热弹性弯曲分析。

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In this article, the mechanical buckling analysis of simply-supported functionally graded plates is carried out using a
higher shear deformation theory (HSDT) in conjunction with the stress function method.
本文采用简支功能梯度板进行力学屈曲分析。
高剪切变形理论（HSDT）与应力函数法相结合。

本文采用简支功能梯度板进行力学屈曲分析。 高剪切变形理论（HSDT）与应力函数法相结合。

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## Functionally Graded sentence examples within paper presents analytical

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This paper presents analytical studies on the dynamic instability of functionally graded material (FGM) sandwich conical shell subjected to time dependent periodic parametric axial and lateral load.
本文介绍了功能梯度材料 (FGM) 夹层锥形壳在时间相关周期性参数轴向和横向载荷作用下的动态不稳定性分析研究。

本文介绍了功能梯度材料 (FGM) 夹层锥形壳在时间相关周期性参数轴向和横向载荷作用下的动态不稳定性分析研究。

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This paper presents analytical investigations on the free vibration and static bending of functionally graded graphene-reinforced nanocomposite (FG-GPLRC) spherical shells.
本文介绍了功能梯度石墨烯增强纳米复合材料 (FG-GPLRC) 球壳的自由振动和静态弯曲的分析研究。

本文介绍了功能梯度石墨烯增强纳米复合材料 (FG-GPLRC) 球壳的自由振动和静态弯曲的分析研究。

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## Functionally Graded sentence examples within graphene reinforced composite

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In this numerical study, four different graphene sheets distributions, such as uniformly distributed (UD), functionally graded (FG-X), functionally graded (FG-O), and functionally graded (FG-V), are considered for the free vibration of graphene reinforced composite (GRC) stiffened plate.
在这项数值研究中，考虑了四种不同的石墨烯片分布，例如均匀分布 (UD)、功能梯度 (FG-X)、功能梯度 (FG-O) 和功能梯度 (FG-V)，用于自由振动石墨烯增强复合材料（GRC）加强板。

在这项数值研究中，考虑了四种不同的石墨烯片分布，例如均匀分布 (UD)、功能梯度 (FG-X)、功能梯度 (FG-O) 和功能梯度 (FG-V)，用于自由振动石墨烯增强复合材料（GRC）加强板。

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This paper investigates the buckling behaviors of edge-cracked functionally graded graphene reinforced composite (FG-GRC) beam with piezoelectric actuators.
本文研究了带有压电致动器的边缘裂纹功能梯度石墨烯增强复合材料 (FG-GRC) 梁的屈曲行为。

本文研究了带有压电致动器的边缘裂纹功能梯度石墨烯增强复合材料 (FG-GRC) 梁的屈曲行为。

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## Functionally Graded sentence examples within semi analytical method

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In this article, the free vibration characteristics and wave propagation analysis of functionally graded materials (FGM) cylindrical nanoshell is investigated by a semi-analytical method, wave-based method.
在这篇文章中，功能梯度材料（FGM）圆柱形纳米壳的自由振动特性和波传播分析通过一种半解析方法，基于波的方法进行了研究。

在这篇文章中，功能梯度材料（FGM）圆柱形纳米壳的自由振动特性和波传播分析通过一种半解析方法，基于波的方法进行了研究。

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In this paper, a semi-analytical method is presented for nonlinear vibration analysis of rotating stiffened truncated conical shells with functionally graded materials (FGM) in the thermal environm.
在本文中，提出了一种半解析方法，用于在热环境中对具有功能梯度材料（FGM）的旋转加筋截锥壳进行非线性振动分析。

在本文中，提出了一种半解析方法，用于在热环境中对具有功能梯度材料（FGM）的旋转加筋截锥壳进行非线性振动分析。

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## Functionally Graded sentence examples within finite difference method

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This paper presents an approach to the vibration analysis of axially functionally graded (AFG) non-prismatic Euler-Bernoulli beams using the finite difference method (FDM).
本文提出了一种使用有限差分法 (FDM) 对轴向功能梯度 (AFG) 非棱柱 Euler-Bernoulli 梁进行振动分析的方法。

本文提出了一种使用有限差分法 (FDM) 对轴向功能梯度 (AFG) 非棱柱 Euler-Bernoulli 梁进行振动分析的方法。

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In this study, a finite difference method is presented for longitudinal stress wave propagation analysis in functionally graded 2D plane strain media.
在这项研究中，提出了一种有限差分方法，用于功能梯度二维平面应变介质中的纵向应力波传播分析。

在这项研究中，提出了一种有限差分方法，用于功能梯度二维平面应变介质中的纵向应力波传播分析。

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## Functionally Graded sentence examples within four node quadrilateral

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This paper firstly presents numerical analyses of functionally graded porous plates/shells with graphene platelets (GPLs) reinforcement using a novel four-node quadrilateral element with five degrees of freedom per node, namely SQ4P, based on the first-order shear deformation theory and Chebyshev polynomials.
本文首先介绍了基于一阶剪切变形理论和切比雪夫理论的新型四节点四边形单元，每个节点具有五个自由度的新型四节点四边形单元，即 SQ4P，对具有石墨烯薄片 (GPL) 增强的功能梯度多孔板/壳进行数值分析。多项式。

本文首先介绍了基于一阶剪切变形理论和切比雪夫理论的新型四节点四边形单元，每个节点具有五个自由度的新型四节点四边形单元，即 SQ4P，对具有石墨烯薄片 (GPL) 增强的功能梯度多孔板/壳进行数值分析。多项式。

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A new mixed four-node quadrilateral element (MiQ4) is established in this paper to investigate functionally graded material (FGM) plates with variable thickness.
本文建立了一种新的混合四节点四边形单元（MiQ4），用于研究具有可变厚度的功能梯度材料（FGM）板。

本文建立了一种新的混合四节点四边形单元（MiQ4），用于研究具有可变厚度的功能梯度材料（FGM）板。

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## Functionally Graded sentence examples within graphene nanoplatelets reinforced

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In the present research, a 3D-poroflexibility theory has been presented to study the bending responses of the functionally graded graphene nanoplatelets reinforced composite (FG-GPLRC) axisymmetric circular/annular sector plates on the elastic substrate.
在本研究中，提出了一种 3D 孔隙柔性理论来研究功能梯度石墨烯纳米片增强复合材料 (FG-GPLRC) 轴对称圆形/环形扇形板在弹性基板上的弯曲响应。

在本研究中，提出了一种 3D 孔隙柔性理论来研究功能梯度石墨烯纳米片增强复合材料 (FG-GPLRC) 轴对称圆形/环形扇形板在弹性基板上的弯曲响应。

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The sandwich beam is composed of a soft core integrated with functionally graded graphene nanoplatelets reinforced composite face sheets.
夹层梁由软芯与功能梯度石墨烯纳米片增强复合面板集成而成。

夹层梁由软芯与功能梯度石墨烯纳米片增强复合面板集成而成。

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## Functionally Graded sentence examples within third order shear

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The present research deals with thermal buckling and postbuckling of sigmoid functionally graded material (S-FGM) plates with porosities resting on elastic foundation based on the popular third-order shear deformation theory and the well-known von Karman large deflection assumption.
本研究基于流行的三阶剪切变形理论和著名的 von Karman 大挠度假设，研究基于弹性基础的具有孔隙的 sigmoid 功能梯度材料 (S-FGM) 板的热屈曲和后屈曲。

本研究基于流行的三阶剪切变形理论和著名的 von Karman 大挠度假设，研究基于弹性基础的具有孔隙的 sigmoid 功能梯度材料 (S-FGM) 板的热屈曲和后屈曲。

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This work is the first exploration of the static bending and dynamic response analyses of piezoelectric bidirectional functionally graded plates by combining the third-order shear deformation theory of Reddy and the finite element approach, which can numerically model mechanical relations of the structure.
这项工作是首次结合 Reddy 的三阶剪切变形理论和有限元方法对压电双向功能梯度板的静态弯曲和动态响应分析进行探索，可以对结构的力学关系进行数值模拟。

这项工作是首次结合 Reddy 的三阶剪切变形理论和有限元方法对压电双向功能梯度板的静态弯曲和动态响应分析进行探索，可以对结构的力学关系进行数值模拟。

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## Functionally Graded sentence examples within cylindrical shells reinforced

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In the present study, we analyze the nonlinear forced vibration of thin-walled metal foam cylindrical shells reinforced with functionally graded graphene platelets.
在本研究中，我们分析了功能梯度石墨烯薄片增强的薄壁金属泡沫圆柱壳的非线性强迫振动。

在本研究中，我们分析了功能梯度石墨烯薄片增强的薄壁金属泡沫圆柱壳的非线性强迫振动。

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This study presents an analytical solution approach to examine the nonlinear vibration of geometrically imperfect functionally graded porous circular cylindrical shells reinforced with graphene pla.
本研究提出了一种分析求解方法来检查几何不完美的功能梯度多孔圆柱壳的非线性振动，该圆柱壳用石墨烯 pla 增强。

本研究提出了一种分析求解方法来检查几何不完美的功能梯度多孔圆柱壳的非线性振动，该圆柱壳用石墨烯 pla 增强。

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## Functionally Graded sentence examples within generalized differential quadrature

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The semi-analytical procedure combined with the trigonometric expansion and generalized differential quadrature (TE-GDQ) technique is developed to examine the asymmetric stability of functionally graded graphene platelet reinforced nanocomposite (FG-GPLRC) annular plates subjected to thermal loading.
开发了与三角展开和广义微分求积 (TE-GDQ) 技术相结合的半解析程序，以检查经受热载荷的功能梯度石墨烯薄片增强纳米复合材料 (FG-GPLRC) 环形板的不对称稳定性。

开发了与三角展开和广义微分求积 (TE-GDQ) 技术相结合的半解析程序，以检查经受热载荷的功能梯度石墨烯薄片增强纳米复合材料 (FG-GPLRC) 环形板的不对称稳定性。

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In present work, the generalized differential quadrature (GDQ) method is utilized to study the modal characteristics of clamped-clamped axially functionally graded (AFG) material beam.
在目前的工作中，广义微分求积（GDQ）方法被用来研究夹紧-夹紧轴向功能梯度（AFG）材料梁的模态特性。

在目前的工作中，广义微分求积（GDQ）方法被用来研究夹紧-夹紧轴向功能梯度（AFG）材料梁的模态特性。

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## Functionally Graded sentence examples within simply supported rectangular

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A dynamic analytical solution for a simply supported, rectangular functionally graded plate with a porous middle layer under time-dependent load based on a refined third-order shear deformation theory with a cubic variation of in-plane displacements according to the thickness and linear/quadratic transverse displacement is presented.
基于改进的三阶剪切变形理论的简支矩形功能梯度板的动态解析解呈现横向位移。

基于改进的三阶剪切变形理论的简支矩形功能梯度板的动态解析解呈现横向位移。

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The current work presents a free vibration analysis of a simply supported rectangular functionally graded sandwich plate using a new analytical model.
目前的工作使用新的分析模型对简支矩形功能梯度夹层板进行自由振动分析。

目前的工作使用新的分析模型对简支矩形功能梯度夹层板进行自由振动分析。

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## Functionally Graded sentence examples within critical buckling load

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In this article, the critical buckling load of functionally graded beam is calculated using ANSYS APDL Software (version 17.
在本文中，功能梯度梁的临界屈曲载荷使用 ANSYS APDL 软件（版本 17.

在本文中，功能梯度梁的临界屈曲载荷使用 ANSYS APDL 软件（版本 17.

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Predicting the critical buckling loads of functionally graded material (FGM) plates using an analytical method requires solving complex equations with various modes of deformation to determine the minimum loads.
使用分析方法预测功能梯度材料 (FGM) 板的临界屈曲载荷需要求解具有各种变形模式的复杂方程以确定最小载荷。

使用分析方法预测功能梯度材料 (FGM) 板的临界屈曲载荷需要求解具有各种变形模式的复杂方程以确定最小载荷。

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## Functionally Graded sentence examples within three dimensional static

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In this paper, the three-dimensional static behavior and the free vibration of simply supported multilayered functionally graded elastic plates with bonding imperfections is derived.
在本文中，导出了具有粘合缺陷的简支多层功能梯度弹性板的三维静态行为和自由振动。

在本文中，导出了具有粘合缺陷的简支多层功能梯度弹性板的三维静态行为和自由振动。

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In this paper, a methodological approach for the three-dimensional static behavior of functionally graded magnetoelectroelastic rectangular plates is elaborated.
在本文中，详细阐述了功能梯度磁电弹性矩形板的三维静态行为的方法学方法。

在本文中，详细阐述了功能梯度磁电弹性矩形板的三维静态行为的方法学方法。

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## Functionally Graded sentence examples within curved beams made

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The in-plane thermoelastic response of curved beams made of porous materials with different types of functionally graded (FG) porosity is studied in this research contribution.
本研究贡献研究了由具有不同类型功能梯度 (FG) 孔隙率的多孔材料制成的曲面梁的面内热弹性响应。

本研究贡献研究了由具有不同类型功能梯度 (FG) 孔隙率的多孔材料制成的曲面梁的面内热弹性响应。

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The well-posedness of both the strain- and stress-driven two-phase nonlocal (TPN-StrainD and TPN-StressD) models is pertinently evidenced by formulating the static bending of curved beams made of functionally graded (FG) materials.
应变和应力驱动的两相非局部（TPN-StrainD 和 TPN-StressD）模型的适定性通过制定由功能梯度 (FG) 材料制成的弯曲梁的静态弯曲得到了恰当的证明。

应变和应力驱动的两相非局部（TPN-StrainD 和 TPN-StressD）模型的适定性通过制定由功能梯度 (FG) 材料制成的弯曲梁的静态弯曲得到了恰当的证明。

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## Functionally Graded sentence examples within piezoelectric viscoelastic material

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An exact approach is used to investigate the propagation of a Love-type wave in a low-velocity piezoelectric-viscoelastic material (PV) stratum bonded to a functionally graded transversely isotropic viscoelastic (FGTIV) material substrate.
一种精确的方法用于研究 Love 型波在粘合到功能梯度横向各向同性粘弹性 (FGTIV) 材料基底的低速压电粘弹性材料 (PV) 层中的传播。

一种精确的方法用于研究 Love 型波在粘合到功能梯度横向各向同性粘弹性 (FGTIV) 材料基底的低速压电粘弹性材料 (PV) 层中的传播。

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The present study aims to analyze the propagation behavior of Love-type wave in an exponentially graded piezoelectric-viscoelastic material (EGPVM) stratum lying over a functionally graded piezoelectric-viscoelastic material (FGPVM) substrate due to an impulsive point source at its interfacial surface.
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## Functionally Graded sentence examples within couple stress theory

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In this paper, the acoustic wave motion characteristics of Lamb and SH waves in functionally graded (FG) anisotropic micro/nano-plates are studied based on the modified couple stress theory.
本文基于修正耦合应力理论研究了功能梯度（FG）各向异性微/纳米板中Lamb波和SH波的声波运动特性。

本文基于修正耦合应力理论研究了功能梯度（FG）各向异性微/纳米板中Lamb波和SH波的声波运动特性。

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In this paper, free vibration of functionally graded (FG) microbeams under thermal environment based on modified couple stress theory is investigated.
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## Functionally Graded sentence examples within bending free vibration

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We propose a size-dependent moving Kriging meshfree approach for bending, free vibration and buckling analyses of functionally graded (FG) microplates using the refined plate theory (RPT) and modified strain gradient theory (MSGT).
我们提出了一种尺寸相关的移动克里金无网格方法，用于使用精板理论 (RPT) 和修正应变梯度理论 (MSGT) 对功能梯度 (FG) 微板进行弯曲、自由振动和屈曲分析。

我们提出了一种尺寸相关的移动克里金无网格方法，用于使用精板理论 (RPT) 和修正应变梯度理论 (MSGT) 对功能梯度 (FG) 微板进行弯曲、自由振动和屈曲分析。

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In this study, the bending, free vibration and buckling analysis of a novel bi-functionally graded sandwich nanobeam are investigated for the first time via a nonlocal refined simple shear deformation theory.
在这项研究中，首次通过非局部精细的简单剪切变形理论研究了新型双功能梯度夹层纳米梁的弯曲、自由振动和屈曲分析。

在这项研究中，首次通过非局部精细的简单剪切变形理论研究了新型双功能梯度夹层纳米梁的弯曲、自由振动和屈曲分析。

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## Functionally Graded sentence examples within rotating pre twisted

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This paper deals with the problems of free vibration, buckling, and dynamic stability of rotating pre-twisted functionally graded carbon nanotube reinforced composite (FG-CNTRC) imperfect beams in thermal environment.
本文研究了旋转预扭曲功能梯度碳纳米管增强复合材料（FG-CNTRC）不完美梁在热环境中的自由振动、屈曲和动态稳定性问题。

本文研究了旋转预扭曲功能梯度碳纳米管增强复合材料（FG-CNTRC）不完美梁在热环境中的自由振动、屈曲和动态稳定性问题。

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In this study, the flutter analysis of a rotating pre-twisted functionally graded graphene nanoplatelets reinforced composite (FG GPLRC) blade under supersonic airflow is investigated.
在这项研究中，研究了在超音速气流下旋转的预扭曲功能梯度石墨烯纳米片增强复合材料 (FG GPLRC) 叶片的颤振分析。

在这项研究中，研究了在超音速气流下旋转的预扭曲功能梯度石墨烯纳米片增强复合材料 (FG GPLRC) 叶片的颤振分析。

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## Functionally Graded sentence examples within finite element approach

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In this paper, the authors suggested a finite element approach to the simulation of mechanical properties of functionally graded materials (FGM) using a multilinear plastic material model.
在本文中，作者提出了一种使用多线性塑料材料模型来模拟功能梯度材料 (FGM) 的机械性能的有限元方法。

在本文中，作者提出了一种使用多线性塑料材料模型来模拟功能梯度材料 (FGM) 的机械性能的有限元方法。

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A generalized finite element approach, for the free vibration analysis of an axially functionally graded (AFG) beam, having non-uniform thickness, has been presented in the current analysis.
目前的分析中提出了一种广义有限元方法，用于对厚度不均匀的轴向功能梯度 (AFG) 梁进行自由振动分析。

目前的分析中提出了一种广义有限元方法，用于对厚度不均匀的轴向功能梯度 (AFG) 梁进行自由振动分析。

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## Functionally Graded sentence examples within temperature dependent material

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In this paper, the nonlinear time history response and dynamic-buckling of functionally graded material (FGM) shell structures in thermal environments with temperature-dependent material properties.
在本文中，功能梯度材料 (FGM) 壳结构在具有温度相关材料特性的热环境中的非线性时程响应和动态屈曲。

在本文中，功能梯度材料 (FGM) 壳结构在具有温度相关材料特性的热环境中的非线性时程响应和动态屈曲。

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The purpose of this study is to investigate Thermo-mechanical limit elastic speed analysis of functionally graded (FG) rotating disks with the temperature-dependent material properties.
本研究的目的是研究具有温度相关材料特性的功能梯度 (FG) 旋转盘的热机械极限弹性速度分析。

本研究的目的是研究具有温度相关材料特性的功能梯度 (FG) 旋转盘的热机械极限弹性速度分析。

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## Functionally Graded sentence examples within reinforced composite face

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The sandwich shell consists of a functionally graded porous core perfectly bonded with two carbon nanotubes (CNT) reinforced composite face sheets.
夹层壳由一个功能梯度的多孔芯与两个碳纳米管 (CNT) 增强的复合面板完美粘合组成。

夹层壳由一个功能梯度的多孔芯与两个碳纳米管 (CNT) 增强的复合面板完美粘合组成。

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This paper presents the buckling analysis of rectangular sandwich plates with pure polymeric tapered cores and functionally graded carbon nanotube (FG-CNT) reinforced composite face sheets under static and harmonic dynamic loads.
本文介绍了具有纯聚合物锥形芯和功能梯度碳纳米管 (FG-CNT) 增强复合面板的矩形夹层板在静态和谐波动态载荷下的屈曲分析。

本文介绍了具有纯聚合物锥形芯和功能梯度碳纳米管 (FG-CNT) 增强复合面板的矩形夹层板在静态和谐波动态载荷下的屈曲分析。

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## Functionally Graded sentence examples within nonlinear elastic foundation

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In the present paper, a size-dependent Euler–Bernoulli beam model has been developed for nonlinear static analysis of a bidirectional functionally graded (BFG) microbeam based on a nonlinear elastic foundation according to the modified couple stress theory.
在本文中，根据修正的耦合应力理论，基于非线性弹性地基的双向功能梯度（BFG）微梁的非线性静力分析开发了一个尺寸相关的 Euler-Bernoulli 梁模型。

在本文中，根据修正的耦合应力理论，基于非线性弹性地基的双向功能梯度（BFG）微梁的非线性静力分析开发了一个尺寸相关的 Euler-Bernoulli 梁模型。

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This study investigates the non-linear vibrations of stiffened imperfect functionally graded double-curved shallow shells, as rested on nonlinear elastic foundations.
本研究研究了基于非线性弹性基础的加筋不完美功能梯度双曲浅壳的非线性振动。

本研究研究了基于非线性弹性基础的加筋不完美功能梯度双曲浅壳的非线性振动。

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## Functionally Graded sentence examples within initial geometrical imperfection

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Therefore, this paper is the first investigation on the static bending of rotating functionally graded material (FGM) beams with initial geometrical imperfections in thermal environments, where the higher-order shear deformation theory and the finite element method (FEM) are exercised.
因此，本文首次研究了热环境中具有初始几何缺陷的旋转功能梯度材料（FGM）梁的静态弯曲，其中运用了高阶剪切变形理论和有限元法（FEM）。

因此，本文首次研究了热环境中具有初始几何缺陷的旋转功能梯度材料（FGM）梁的静态弯曲，其中运用了高阶剪切变形理论和有限元法（FEM）。

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In this article, the natural vibration investigation of a functionally graded material sandwich plate with initial geometrical imperfection of the exponential function is conducted.
在本文中，对具有指数函数初始几何缺陷的功能梯度材料夹层板进行了自然振动研究。

在本文中，对具有指数函数初始几何缺陷的功能梯度材料夹层板进行了自然振动研究。

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## Functionally Graded sentence examples within low velocity impact

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This paper presents multi-scale modeling and nonlinear low-velocity impact analysis of sandwich plates with graphene reinforced composite (GRC) face sheets and functionally graded (FG) auxetic 3D lattice cores.
本文介绍了具有石墨烯增强复合材料 (GRC) 面板和功能梯度 (FG) 拉胀 3D 晶格芯的夹层板的多尺度建模和非线性低速冲击分析。

本文介绍了具有石墨烯增强复合材料 (GRC) 面板和功能梯度 (FG) 拉胀 3D 晶格芯的夹层板的多尺度建模和非线性低速冲击分析。

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The current article deals with forced vibration, and low-velocity impact analysis of the functionally graded graphene nanoplatelets reinforced composite (FG-GPLRC) doubly curved panel on the viscoelastic foundation.
目前的文章处理粘弹性基础上功能梯度石墨烯纳米片增强复合材料 (FG-GPLRC) 双曲面面板的强制振动和低速冲击分析。

目前的文章处理粘弹性基础上功能梯度石墨烯纳米片增强复合材料 (FG-GPLRC) 双曲面面板的强制振动和低速冲击分析。

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## Functionally Graded sentence examples within platelets reinforced composite

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In this paper, the dynamic model of an eccentric rotating functionally graded grapheme platelets reinforced composite (FG-GPLRC) cylindrical shell based on the first-order shear deformation theory is established.
本文基于一阶剪切变形理论建立了偏心旋转功能梯度石墨烯薄片增强复合材料（FG-GPLRC）圆柱壳的动力学模型。

本文基于一阶剪切变形理论建立了偏心旋转功能梯度石墨烯薄片增强复合材料（FG-GPLRC）圆柱壳的动力学模型。

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