Plane Analysis(平面分析)研究综述
Plane Analysis 平面分析 - A numerical approach based on the theory of three-dimensional elasticity is proposed to eliminate the restrictions of plane analysis and to obtain the complex band diagrams using the wave expansion functions combined with the finite discretization technique. [1] However, the practical limitations of the detection of very high-frequency in-plane vibrations in small-scale structures have restricted their investigations considerably leading the researchers toward their out-of-plane analysis. [2] The formation of the a domain released the strain for the in-plane a-axis lattice parameter, as confirmed by in-plane analysis of the crystal structure. [3] Depending on λ and based on a phase-plane analysis and on time-mapping estimates, our findings lead to three different (from the topological point of view) global bifurcation diagrams of the solutions in terms of the parameter μ. [4] By the use of an approach of rotation number, the phase-plane analysis of the spiral properties of large solutions and a recent version of Poincaré–Birkhoff theorem for Hamiltonian systems, we are able to extend previous multiplicity results of subharmonic solutions for asymptotically semilinear systems to indefinite planar Hamiltonian systems. [5] The analysis methods include circuit operation, time domain analysis, frequency domain analysis, and state–plane analysis. [6] Using phase-plane analysis, we obtain second-kind self-similar solutions to describe the evolution of the gravity current’s shape during both the spreading (pre-closure) and leveling (post-closure) regimes. [7] Subsequently, the equilibria of the three-dimensional fractional crime transmission model are evaluated using phase-plane analysis. [8] These contact loads enable the formulation of an equivalent half-plane problem for the contact, which can be used to determine much more precise estimates of the slip-zone sizes than are obtainable from direct use of frictional finite element analysis, as aggregated data from the finite element output is employed, and the half-plane analysis will add precision in terms of satisfaction of the laws of frictional slip and stick. [9] We use a approach of rotation number in the \begin{document}$ p $\end{document} -polar coordinates transformation, together with the phase-plane analysis of the rotational properties of large solutions and a recent version of Poincare-Birkhoff theorem for Hamiltonian systems, for obtaining multiplicity results of \begin{document}$ p $\end{document} -Laplacian equation in terms of the gap between the rotation numbers of referred piecewise \begin{document}$ p $\end{document} -linear systems at zero and infinity. [10] We investigate the phase-plane analysis of our constructed model. [11] The concept of dual-loop geometric-based control is introduced in this article by combining geometric state-plane analysis for the outer voltage loop with traditional current-control techniques for the inner loop. [12] However, different from the voltage magnitude normalization method, an unexpected stable equilibrium point emerges in the three-phase PLL based on the d-axis voltage normalization, the mechanism of which is revealed by the phase-plane analysis. [13] The optimal regularization parameter is estimated using a combination of phase–plane analysis and cross-correlation principles. [14] We obtain a tentative (∼3σ–4σ) detection of the [C ii] line and set an upper limit on the [C ii]/SFR (star-forming rate) ratio of ≤1 × 106 L ⊙/(M ⊙ yr−1), based on the synthesized images and visibility-plane analysis. [15] The following methods of nonlinear dynamics were tested: the Hurst normalized range method, phase-plane analysis, and a linear cellular automaton. [16] The following methods of nonlinear dynamics were tested: the method of the normalized Hurst range, phase-plane analysis. [17] We show how a rotation number approach, together with the Poincare–Birkhoff theorem and the phase-plane analysis of the spiral properties, allows to obtain multiplicity results in terms of the gap between the rotation numbers of the referred piecewise linear systems at zero and at infinity. [18] We answer affirmatively a question posed by Aviles in 1983, concerning the construction of singular solutions of semilinear equations without using phase-plane analysis. [19] Due to this low-order model, the stability assessment can be approached using phase-plane analysis with a low computational burden - more than 4000 times faster than the full-order switching model. [20] The accurate model and equations for resonant variables are built by the static state-plane analysis. [21] A detailed principle of the operation of the SC-buck converter is provided and explained through an average-behavioral model and state-plane analysis. [22] We investigate the phase-plane analysis of LRS BI model wi. [23] Phase-plane analysis is a set of techniques for analyzing the behavior of a dynamical system described by a pair of ordinary differential equations (ODEs). [24] Considerations about the operation of the stages in different modes are made on the base of a performed state-plane analysis. [25] Using a simplified model for the converter, it is shown that phase-plane analysis is accurate for analyzing the transient synchronization stability. [26] We explain these phenomena using a reduced adapted version of the classical phase-plane analysis that helps uncovering the type of effective network nonlinearities that contribute to the generation of network oscillations. [27] The area of the ostium of jailed SBs and number of compartments divided by scaffold struts were assessed by cut-plane analysis using 3D OCT. [28] For this purpose, we simulate the evolution of solitons with the phase-plane analysis which is one of the most signiˇcant methods for investigating the behaviors of nonlinear systems when the methods for calculating analytical solution do not exist. [29] State-plane analysis of the circuit for operation above the resonant frequency is performed. [30] A two-step homogenisation model, formulated by the authors for the in-plane case, is herein extended for the nonlinear out-of-plane analysis of masonry structures. [31] No traditional phase-plane analysis is available here. [32]提出了一种基于三维弹性理论的数值方法，以消除平面分析的限制，利用波展开函数结合有限离散技术获得复能带图。 [1] 然而，在小规模结构中检测超高频面内振动的实际局限性极大地限制了他们的研究，从而导致研究人员进行面外分析。 [2] 如通过晶体结构的面内分析所证实的，a 域的形成释放了面内 a 轴晶格参数的应变。 [3] 根据 λ 和基于相平面分析和时间映射估计，我们的研究结果导致了三个不同的（从拓扑的角度）解的全局分岔图，就参数 μ 而言。 [4] 通过使用旋转数的方法、大解的螺旋性质的相平面分析和哈密顿系统的最新版本的 Poincaré-Birkhoff 定理，我们能够扩展先前渐近半线性系统的次谐波解的多重性结果到不定平面哈密顿系统。 [5] 分析方法包括电路操作、时域分析、频域分析和状态平面分析。 [6] 使用相平面分析，我们获得了第二类自相似解来描述重力流形状在扩展（闭合前）和平整（闭合后）状态期间的演变。 [7] 随后，使用相平面分析评估了三维分数犯罪传播模型的平衡。 [8] 这些接触载荷能够为接触制定等效的半平面问题，与直接使用摩擦有限元分析相比，它可用于确定滑移区尺寸的更精确估计，作为来自采用有限元输出，半平面分析将在满足摩擦滑移和粘着定律方面增加精度。 [9] 我们在 \begin{document}$ p $\end{document} -极坐标变换中使用旋转数的方法，以及大解的旋转特性的相平面分析和最新版本的 Poincare-Birkhoff 定理对于哈密顿系统，用于获得 \begin{document}$ p $\end{document} -Laplacian 方程的多重性结果，根据所引用的分段 \begin{document}$ p $\end{document} 的旋转数之间的差距- 零和无穷大的线性系统。 [10] 我们研究了我们构建的模型的相平面分析。 [11] 本文介绍了基于双环几何控制的概念，将外环电压的几何状态平面分析与内环的传统电流控制技术相结合。 [12] 然而，与电压幅值归一化方法不同的是，基于 d 轴电压归一化的三相锁相环中出现了一个意想不到的稳定平衡点，其机制通过相平面分析得到揭示。 [13] 使用相平面分析和互相关原理的组合来估计最佳正则化参数。 [14] 我们获得了[C ii] 线的暂定（~3σ–4σ）检测，并将[C ii] / SFR（恒星形成率）比率的上限设置为≤1 × 106 L⊙/(M⊙ yr -1），基于合成图像和可见性平面分析。 [15] 测试了以下非线性动力学方法：Hurst 归一化范围法、相平面分析和线性元胞自动机。 [16] 测试了以下非线性动力学方法：归一化赫斯特范围法、相平面分析法。 [17] 我们展示了旋转数方法，连同 Poincare-Birkhoff 定理和螺旋特性的相平面分析，如何根据所引用的分段线性系统在零和在无穷。 [18] 我们肯定地回答了 Aviles 在 1983 年提出的关于在不使用相平面分析的情况下构造半线性方程的奇异解的问题。 [19] 由于这种低阶模型，可以使用相平面分析来进行稳定性评估，计算负担低 - 比全阶切换模型快 4000 倍以上。 [20] 共振变量的精确模型和方程是通过静态状态平面分析建立的。 [21] 通过平均行为模型和状态平面分析，提供并解释了 SC-buck 转换器的详细工作原理。 [22] 我们研究了 LRS BI 模型 wi 的相平面分析。 [23] 相平面分析是一组用于分析由一对常微分方程 (ODE) 描述的动力系统行为的技术。 [24] 基于执行的状态平面分析，对不同模式下的阶段操作进行了考虑。 [25] 使用转换器的简化模型，表明相平面分析对于分析瞬态同步稳定性是准确的。 [26] 我们使用经典相平面分析的简化版本来解释这些现象，这有助于揭示有助于产生网络振荡的有效网络非线性类型。 [27] 通过使用 3D OCT 的切面分析评估被监禁的 SBs 的开口面积和除以支架支柱的隔室数量。 [28] 为此，我们使用相平面分析来模拟孤子的演化，这是在不存在计算解析解的方法时研究非线性系统行为的最重要方法之一。 [29] 对高于谐振频率的电路进行状态平面分析。 [30] 作者为平面内情况制定的两步均质模型在此扩展为砌体结构的非线性平面外分析。 [31] 这里没有传统的相平面分析。 [32]
higher dimensional rotationally
We completely classify the profile curves of the higher dimensional rotationally and birotationally symmetric homothetic solitons using the phase-plane analysis. [1] We completely classify the profile curves of the higher dimensional rotationally and birotationally symmetric homothetic solitons using the phase-plane analysis. [2] We show that the translating solitons that are either ruled surfaces or translation surfaces are cycloid cylinders, and completely classify 2-dimensional helicoidal translating solitons and the higher dimensional rotationally symmetric translating solitons using the phase-plane analysis. [3]我们使用相平面分析对高维旋转和双旋转对称同位孤子的轮廓曲线进行了完全分类。 [1] 我们使用相平面分析对高维旋转和双旋转对称同位孤子的轮廓曲线进行了完全分类。 [2] nan [3]
Phase Plane Analysis 相平面分析
In order to analysis the complex nonlinear traffic phenomena, a new phase plane analysis method is presented in this paper by transforming the traffic flow problem into system stability problem. [1] Employing the concept of phase plane analysis, the formulated autonomous dynamical systems are examined for all feasible nonlinear and supernonlinear periodic waves. [2] In the dynamic control supervisor, first, the phase plane analysis is implemented to accurately define the vehicle stability boundary so that the lookup table of bounds can be established for online applications. [3] The minimum wave velocity has been obtained from phase plane analysis analytically for the first system. [4] The lumped mass model for the actuated micro-cantilever beam made of power-law material is established and the bifurcation is investigated with respect to the dimensionless voltage parameter using simple phase plane analysis. [5] Existence of stable oscillation of ion-acoustic waves (IAWs) is shown by using the concept of phase plane analysis. [6] , rate-balance plot, and phase plane analysis to understand the nature of dynamics exhibited by the models. [7] Supernonlinear and nonlinear periodic IAWs are presented through phase plane analysis. [8] Bifurcation of IAW is presented through phase plane analysis and existence of IAW solutions is also shown through graphs of potential energy function. [9] We analyse travelling wave solutions of this model using a combination of numerical simulation, phase plane analysis and perturbation techniques. [10] The 4D chaotic system is analyzed by using available qualitative and quantitative tools like phase plane analysis, time series plot, root locus, Lyapunov exponent and spectrum analyses. [11] Basic stability concepts and methods for characterizing the stability of linear time invariant dynamical systems are presented, including phase plane analysis, bounded input bounded output stability and Routh’s Stability Criterion. [12] Some phase plane analysis has been carried out to support our analytical results. [13] A fixed-time NTSM controller is then developed and a guaranteed upper bound of the closed-loop settling time independent of initial states is presented based on the phase plane analysis and Lyapunov stability theory. [14] The pseudopotential profiles for the nonlinear equations are plotted for different parametric values to illustrate and confirm the phase plane analysis. [15] The adaptive stabilization results are validated by a small-signal stability analysis using the linearization technique, a large-signal stability analysis using the phase plane analysis, an intensive time-domain simulation using MATLAB, and experimentation. [16] Applying phase plane analysis periodic wave solutions and supernonlinear periodic wave solutions for QEAWs are perceived. [17] The transient responses at high speeds are analyzed by phase plane analysis method to evaluate the system dynamic stability. [18] Using random parameter sampling, network perturbation, and phase plane analysis, we establish the design principles of such emergent behaviors. [19] Standard initial value problems-phase plane analysis arguments do not apply here because solutions to the corresponding initial value problem may blow up near the boundary due to the fact that our weight function is negative at the boundary. [20] Phase plane analysis of nucleus-acoustic waves (NAWs) is explored for the Burgers equation in a white dwarf plasma system constituting degenerate electrons, heavy nuclear species and degenerate light nuclear species. [21] Using a phase plane analysis we construct entire rotational graphs, catenoid-type surfaces, and exhibit a classification result when the prescribed function is linear. [22] The velocity field is determined by the phase plane analysis and the stability of the solution is found through bifurcation diagrams. [23] The metabolic traits investigated by phenotypic phase plane analysis (PhPP) showed a relationship between the nutrient uptake rate, cell growth, and the triacylglycerol production rate, demonstrating the strength of the model. [24] For the case of a time-periodic driving force, we use a Melnikov function and a phase plane analysis to study the emerging chaotic behavior with respect to the Drude and plasma modeling and material preparation conditions. [25] The solutions to the Riemann problem for the isentropic relativistic Euler system for the extended Chaplygin gas are constructed for all kinds of situations by using the method of phase plane analysis. [26] By means of the phase plane analysis and depending on the wave velocity of the signals that are to propagate in the lattice, we present all phase portraits of the dynamical system. [27] A simple transformation is used to linearize the characteristic system of equations, which allows us to study the geometrical structure of critical threshold curves for three damping cases: overdamped, underdamped and borderline damped through phase plane analysis. [28] Nonlinear and supernonlinear ion-acoustic periodic waves are investigated in a three-component unmagnetized plasma which consists of mobile fluid cold ions, Maxwellian cold electrons and q-nonextensive hot electrons employing phase plane analysis. [29] we establish the existence and the analytical approximation of non-constant stationary solutions by applying the phase plane analysis and bifurcation analysis. [30] A new crane anti-swaying scheme different from traditional mechanical anti-shake strategy is proposed and it is based on phase plane analysis algorithm. [31] Meanwhile, a stability weighting factor (SWF) based on phase plane analysis is proposed to adjust the additional yaw moment, which can reduce the additional energy consumption caused by the mismatch between the reference model and the actual vehicle. [32] It introduces mathematical modeling techniques such as ordinary differential equations, phase plane analysis, and bifurcation analysis of single compartment neuron models. [33] Using a combination of phase plane analysis, perturbation analysis and linearization, we establish a concrete relationship between travelling wave solutions of the Fisher–Stefan model and often-neglected travelling wave solutions of the Fisher–KPP model. [34] Based on the improved cubic formula tire derived from Pacejka model, the nonlinear vehicle dynamic analysis model is built and the particular state-space representation for vehicle phase plane analysis is developed. [35] We employed phase plane analysis to compute the threshold of resection. [36] Using a combination of phase plane analysis, perturbation analysis and linearisation, we establish a concrete relationship between travelling wave solutions of the Fisher-Stefan model and often-neglected travelling wave solutions of the Fisher-KPP model. [37] Although the problem is well explored and there are proposed solutions based on phase plane analysis, there are still several unresolved issues regarding calculation of solution curves. [38] Then carry out phase plane analysis of heart sound signals, and analyze change rules of correlation dimension of heart sound signals with aging. [39] This kind of strategy was successfully implemented in one-space dimension, where phase plane analysis techniques allowed to decode the nature of the set of steady-states. [40]为了分析复杂的非线性交通现象，本文将交通流问题转化为系统稳定性问题，提出了一种新的相平面分析方法。 [1] 采用相平面分析的概念，针对所有可行的非线性和超非线性周期波检查了公式化的自主动力系统。 [2] 在动态控制监控器中，首先进行相平面分析，准确定义车辆稳定性边界，从而建立边界查找表，供在线应用使用。 [3] 第一个系统的最小波速是从相平面分析得到的。 [4] 建立了由幂律材料制成的驱动微悬臂梁的集中质量模型，并利用简单的相平面分析研究了无量纲电压参数的分岔。 [5] 离子声波（IAW）的稳定振荡的存在是通过使用相平面分析的概念来证明的。 [6] 、速率平衡图和相平面分析，以了解模型表现出的动力学性质。 [7] 通过相平面分析呈现超非线性和非线性周期性 IAW。 [8] IAW 的分岔通过相平面分析呈现，IAW 解的存在也通过势能函数图显示。 [9] 我们结合数值模拟、相平面分析和微扰技术分析该模型的行波解。 [10] 通过使用可用的定性和定量工具（如相平面分析、时间序列图、根轨迹、Lyapunov 指数和频谱分析）来分析 4D 混沌系统。 [11] 介绍了表征线性时不变动力系统稳定性的基本稳定性概念和方法，包括相平面分析、有界输入有界输出稳定性和劳斯稳定性准则。 [12] 已经进行了一些相平面分析以支持我们的分析结果。 [13] 然后开发了一个固定时间的NTSM控制器，并基于相平面分析和李雅普诺夫稳定性理论提出了一个独立于初始状态的闭环稳定时间的保证上限。 [14] 针对不同的参数值绘制非线性方程的赝势分布，以说明和确认相平面分析。 [15] 自适应稳定结果通过使用线性化技术的小信号稳定性分析、使用相平面分析的大信号稳定性分析、使用 MATLAB 的密集时域仿真和实验来验证。 [16] 应用相平面分析周期波解和超非线性周期波解的 QEAW 被感知。 [17] 采用相平面分析法对高速时的暂态响应进行分析，以评价系统的动态稳定性。 [18] 使用随机参数采样、网络扰动和相平面分析，我们建立了这种紧急行为的设计原则。 [19] 标准初值问题-相平面分析参数在这里不适用，因为我们的权重函数在边界处为负，因此相应初值问题的解决方案可能会在边界附近爆炸。 [20] 研究了由简并电子、重核素和简并轻核素组成的白矮星等离子体系统中的 Burgers 方程的核声波 (NAW) 的相平面分析。 [21] 使用相平面分析，我们构建了整个旋转图、悬链线型表面，并在规定函数为线性时展示了分类结果。 [22] 速度场由相平面分析确定，解的稳定性由分岔图确定。 [23] 通过表型相平面分析 (PhPP) 研究的代谢特征显示了养分吸收率、细胞生长和三酰基甘油产生率之间的关系，证明了模型的强度。 [24] nan [25] nan [26] nan [27] nan [28] nan [29] nan [30] nan [31] nan [32] nan [33] nan [34] nan [35] nan [36] nan [37] nan [38] nan [39] 这种策略在一个空间维度中成功实施，其中相平面分析技术允许解码一组稳态的性质。 [40]
State Plane Analysis 状态平面分析
In order to implement the multimode constant power control (CPC) strategy, a steady-state model of LCC series-parallel resonant converter is built by state plane analysis, and the analytical expressions for output voltage, average output current, and switching frequency are derived. [1] On the basis of a state plane analysis, expressions are derived to calculate the initial conditions for the differential equations describing the processes in the tank circuit. [2] The paper presents an LLC resonant DC-DC converter output and control characteristics for frequency control obtained using state plane analysis. [3] In this paper, a modeling method based on rotating coordinate system and state plane analysis is proposed to model the LLC resonant converter. [4]为实现多模恒功率控制(CPC)策略，通过状态平面分析建立LCC串并联谐振变换器的稳态模型，推导出输出电压、平均输出电流和开关频率的解析表达式. [1] 在状态平面分析的基础上，导出表达式来计算描述储能电路过程的微分方程的初始条件。 [2] 本文介绍了使用状态平面分析获得的用于频率控制的 LLC 谐振 DC-DC 转换器输出和控制特性。 [3] nan [4]
Critical Plane Analysis
This paper is an experimental and theoretical study to investigate a number of fatigue failure theories concerning the multi-axial fatigue models which are depended on a critical plane analysis in the mixed lubrication regime. [1] A critical plane analysis with two multiaxial damage criteria is performed to assess the crack initiation lifetime. [2] This article presents an application of the critical plane analysis technique for predicting the fatigue life of the belt package of an ultra-large mining truck (CAT 795F) tire of size 56/80R63 in a surface coal mine. [3]本文是一项实验和理论研究，旨在研究有关多轴疲劳模型的多种疲劳失效理论，这些模型依赖于混合润滑状态下的临界平面分析。 [1] 执行具有两个多轴损伤标准的临界平面分析以评估裂纹萌生寿命。 [2] 本文介绍了临界面分析技术在露天煤矿中用于预测尺寸为 56/80R63 的超大型矿用卡车 (CAT 795F) 轮胎的皮带包的疲劳寿命的应用。 [3]
Sectional Plane Analysis
Sectional plane analysis based on back-scattered electron scanning electron microscope (SEM-BSE) images is used to quantify the ITZ porosity gradient, yet not much research has focused on the effect of aggregate surface morphology on the ITZ composition. [1] In this study, sectional plane analysis based on backscattered electron scanning electron microscope (SEM-BSE) images was used to provide insights into the nature of the pore structure. [2]基于背散射电子扫描电子显微镜 (SEM-BSE) 图像的截面分析用于量化 ITZ 孔隙率梯度，但很少有研究关注聚集体表面形态对 ITZ 组成的影响。 [1] 在这项研究中，基于背散射电子扫描电子显微镜 (SEM-BSE) 图像的截面分析用于深入了解孔隙结构的性质。 [2]
Frequency Plane Analysis
According to the equivalent acoustic model and critical coupling theory, a loaded absorber with thickness of 51 mm and perfect absorption at 156 Hz was achieved using the complex frequency plane analysis method (CFPM). [1] Experiment and complex frequency plane analysis confirm the perfect acoustic absorption. [2]根据等效声学模型和临界耦合理论，采用复频平面分析法（CFPM）实现了厚度为51 mm、156 Hz处完美吸收的加载吸声体。 [1] nan [2]
plane analysis technique
In this paper, a novel EPS architecture is proposed and analyzed using state-plane analysis techniques. [1] This kind of strategy was successfully implemented in one-space dimension, where phase plane analysis techniques allowed to decode the nature of the set of steady-states. [2] This article presents an application of the critical plane analysis technique for predicting the fatigue life of the belt package of an ultra-large mining truck (CAT 795F) tire of size 56/80R63 in a surface coal mine. [3]在本文中，提出了一种新颖的 EPS 架构，并使用状态平面分析技术进行了分析。 [1] 这种策略在一个空间维度中成功实施，其中相平面分析技术允许解码一组稳态的性质。 [2] 本文介绍了临界面分析技术在露天煤矿中用于预测尺寸为 56/80R63 的超大型矿用卡车 (CAT 795F) 轮胎的皮带包的疲劳寿命的应用。 [3]
plane analysis method 平面分析法
In order to analysis the complex nonlinear traffic phenomena, a new phase plane analysis method is presented in this paper by transforming the traffic flow problem into system stability problem. [1] According to the equivalent acoustic model and critical coupling theory, a loaded absorber with thickness of 51 mm and perfect absorption at 156 Hz was achieved using the complex frequency plane analysis method (CFPM). [2] The transient responses at high speeds are analyzed by phase plane analysis method to evaluate the system dynamic stability. [3]为了分析复杂的非线性交通现象，本文将交通流问题转化为系统稳定性问题，提出了一种新的相平面分析方法。 [1] 根据等效声学模型和临界耦合理论，采用复频平面分析法（CFPM）实现了厚度为51 mm、156 Hz处完美吸收的加载吸声体。 [2] 采用相平面分析法对高速时的暂态响应进行分析，以评价系统的动态稳定性。 [3]