## Graded Rotating(分级旋转)研究综述

Graded Rotating 分级旋转 - This study presents a comprehensive numerical dynamic finite element analysis to investigate the dynamic behavior and induced stresses of axially functionally graded rotating beam, for the first time.^{[1]}In this paper, a comprehensive strain-gradient elasticity formulation is presented for functionally graded rotating micro-disks under the effects of varying angular velocity.

^{[2]}In this work, the thermo-mechanical limit elastic speed analysis of functionally graded rotating disk has been reported.

^{[3]}In this article, the exact free vibration of porous functionally graded rotating blades is investigated.

^{[4]}In a numerical case study, the effects of the power-law index on the steady-state responses and locus of two saddle-node bifurcations for a heterogeneous functionally graded rotating shaft fabricated from the mixture of Aluminum oxide (Al2O3) and Stainless Steel (SUS304) are illustrated.

^{[5]}In this paper, the linear and nonlinear free vibrations of functionally graded rotating composite Timoshenko beams reinforced by carbon nanotubes are presented.

^{[6]}MATLAB code is developed to analyze the free vibration of the tapered and functionally graded rotating Timoshenko beam.

^{[7]}The present study reports the linear elastic analysis of variable thickness functionally graded rotating disks.

^{[8]}In this paper, the in-plane free vibration analysis of the functionally graded rotating disks with variable thickness is presented utilizing DQM.

^{[9]}Originality/value A non-linear mathematical model is newly developed based on C0 continuity for the functionally graded rotating plate considering the 1D Fourier equation of heat conduction.

^{[10]}

本研究首次提出了一种全面的数值动态有限元分析，以研究轴向功能梯度旋转梁的动态行为和诱导应力。

^{[1]}在本文中，针对功能梯度旋转微盘在不同角速度的影响下，提出了一种综合的应变梯度弹性公式。

^{[2]}在这项工作中，已经报道了功能梯度旋转盘的热机械极限弹性速度分析。

^{[3]}在本文中，研究了多孔功能梯度旋转叶片的精确自由振动。

^{[4]}在数值案例研究中，幂律指数对由氧化铝 (Al2O3) 和不锈钢 (SUS304) 的混合物制成的异质功能梯度旋转轴的稳态响应和两个鞍节点分叉轨迹的影响) 进行了说明。

^{[5]}本文介绍了碳纳米管增强的功能梯度旋转复合 Timoshenko 梁的线性和非线性自由振动。

^{[6]}开发了 MATLAB 代码来分析锥形和功能梯度旋转 Timoshenko 梁的自由振动。

^{[7]}本研究报告了可变厚度功能梯度旋转盘的线弹性分析。

^{[8]}在本文中，利用 DQM 提出了具有可变厚度的功能梯度旋转盘的面内自由振动分析。

^{[9]}原创性/价值 考虑到热传导的一维傅里叶方程，新开发了一种基于C0连续性的功能梯度旋转板的非线性数学模型。

^{[10]}

## Functionally Graded Rotating 功能分级旋转

This study presents a comprehensive numerical dynamic finite element analysis to investigate the dynamic behavior and induced stresses of axially functionally graded rotating beam, for the first time.^{[1]}In this paper, a comprehensive strain-gradient elasticity formulation is presented for functionally graded rotating micro-disks under the effects of varying angular velocity.

^{[2]}In this work, the thermo-mechanical limit elastic speed analysis of functionally graded rotating disk has been reported.

^{[3]}In this article, the exact free vibration of porous functionally graded rotating blades is investigated.

^{[4]}In a numerical case study, the effects of the power-law index on the steady-state responses and locus of two saddle-node bifurcations for a heterogeneous functionally graded rotating shaft fabricated from the mixture of Aluminum oxide (Al2O3) and Stainless Steel (SUS304) are illustrated.

^{[5]}In this paper, the linear and nonlinear free vibrations of functionally graded rotating composite Timoshenko beams reinforced by carbon nanotubes are presented.

^{[6]}MATLAB code is developed to analyze the free vibration of the tapered and functionally graded rotating Timoshenko beam.

^{[7]}The present study reports the linear elastic analysis of variable thickness functionally graded rotating disks.

^{[8]}In this paper, the in-plane free vibration analysis of the functionally graded rotating disks with variable thickness is presented utilizing DQM.

^{[9]}Originality/value A non-linear mathematical model is newly developed based on C0 continuity for the functionally graded rotating plate considering the 1D Fourier equation of heat conduction.

^{[10]}

本研究首次提出了一种全面的数值动态有限元分析，以研究轴向功能梯度旋转梁的动态行为和诱导应力。

^{[1]}在本文中，针对功能梯度旋转微盘在不同角速度的影响下，提出了一种综合的应变梯度弹性公式。

^{[2]}在这项工作中，已经报道了功能梯度旋转盘的热机械极限弹性速度分析。

^{[3]}在本文中，研究了多孔功能梯度旋转叶片的精确自由振动。

^{[4]}在数值案例研究中，幂律指数对由氧化铝 (Al2O3) 和不锈钢 (SUS304) 的混合物制成的异质功能梯度旋转轴的稳态响应和两个鞍节点分叉轨迹的影响) 进行了说明。

^{[5]}本文介绍了碳纳米管增强的功能梯度旋转复合 Timoshenko 梁的线性和非线性自由振动。

^{[6]}开发了 MATLAB 代码来分析锥形和功能梯度旋转 Timoshenko 梁的自由振动。

^{[7]}本研究报告了可变厚度功能梯度旋转盘的线弹性分析。

^{[8]}在本文中，利用 DQM 提出了具有可变厚度的功能梯度旋转盘的面内自由振动分析。

^{[9]}原创性/价值 考虑到热传导的一维傅里叶方程，新开发了一种基于C0连续性的功能梯度旋转板的非线性数学模型。

^{[10]}

## graded rotating disk

In this work, the thermo-mechanical limit elastic speed analysis of functionally graded rotating disk has been reported.^{[1]}The present study reports the linear elastic analysis of variable thickness functionally graded rotating disks.

^{[2]}In this paper, the in-plane free vibration analysis of the functionally graded rotating disks with variable thickness is presented utilizing DQM.

^{[3]}

在这项工作中，已经报道了功能梯度旋转盘的热机械极限弹性速度分析。

^{[1]}本研究报告了可变厚度功能梯度旋转盘的线弹性分析。

^{[2]}在本文中，利用 DQM 提出了具有可变厚度的功能梯度旋转盘的面内自由振动分析。

^{[3]}