模态坐标

写出在模态坐标下自由－自由子结构和弹簧的动能和势能表达式后，由Lagrange方程式可得系统的运动方程式。

With the modal coordinates , after writing out the expression for the kinetic and potential energies of free-free substructures and springs , motion equations of whole system can be obtained by Lagrange 's equations .

它是由关节广义坐标和杆件模态坐标联立的非线性微分方程组。

They ore nonlinear simultaneous differential equations of joint variables and link elastic modal coordinates .

线性特征值问题在模态坐标系中的矩阵摄动法

Matrix Perturbation Method in Modal Coordinate System for Linearly Generalized Eigenvalue Problem

应用时域模态坐标转换法识别内燃机缸内气体压力

Identification of Cylinder Pressure of Internal Combustion Engines via Time-Domain Modal Transform Method

首先，基于结构的整体运动，采用模态坐标控制方法，对结构振动进行整体控制设计。

Modal control is applied , being designed on the basis of global motion of structure .

基于结构的固有模态坐标，提出了分析大跨度桥梁结构气动耦合颤振问题新的状态空间方法。

A new state ? space method is proposed to analyze the coupled flutter instability of long ?

最终坐标是约束模态坐标加每个约束子结构的主模态坐标。

The coordinates in final synthesis are constraint modal coordinates plus normal modal coordinates of all constrained substructures .

在拱坝坝体子结构分析中，采用固定界面法求解坝体的模态坐标，并将其与地基子结构耦合，提高了模型的计算效率。

The fixed interface method is adopted in the arch dam modal analysis to enhance the efficiency of this procedure .

在两个模态坐标系中的参数识别过程完全类似于在物理坐标系中的识别过程。

The discussed identification procedures in the two modal coordinate system are similar to the method in the physical coordinate system .

为缩减系统的运动学变量数目，将柔性曲线梁的物理坐标转化为模态坐标。

The physical coordinates of flexible curve beam are changed into mode coordinates so as to reduce the number of kinematic variables .

用铰相对坐标和模态坐标分别描述物体的大位移运动和弹性变形。

The joint relative coordinates and modal coordinates are used to describe the large displacements between contiguous bodies and small deformations of bodies .

基于改进的当地流活塞理论，推导了用模态坐标表示的弹性振动翼面的非定常广义气动力表达式。

Based on the improved local piston theory , this paper presents the matrix expression of generalized aerodynamic forces expressed by the generalized coordinates .

用部件模态坐标表示柔性部件的弹性变形的引入是导致模型高阶的主要原因。

The model coordinate of the flexible appendage added to the system is the reason that cause the order of the system too high .

研究了模态坐标下的噪声智能控制，给出了基于孤立模态最优控制的模态控制器设计方法。

Modal optimal control of intelligent inner noise control was studied . Modal controller design method was given based on the modal optimal control equation .

用低阶子结构的模态坐标以降低高阶的总体物理坐标，其结果使计算机贮存和计算机时得到节省，这是很有意义的。

The reduction of high-order , global systems of physical displacements to lower order substructural model coordinates results in significant saving in computer storage and execution time .

本文给出了一般开链弹性机器人机构动力学方程。该方程是由关节广义坐标和杆件模态坐标联立的非线性微分方程组。

In this paper the governing equations of flexible manipulators are derived , which are nonlinear simultaneous differential equations of joint variables and link elastic modal coordinates .

因为所设计的控制器是叶片的模态坐标的函数，文中给出了一种从物理测量提取模态坐标的方法。

Since the controller designed is a function of modal coordinate of the blade , a modal filter used to extract tire modal coordinate from actual physical measurements is presented .

还给出了从实际测量中提取模态坐标和将模态控制力转换成实际控制力的方法。

In addition , the extraction of modal coordinates from actual measurement and the transformation of actual control force from the modal control force are presented in this paper too .

给出了从实际测量中提取模态坐标和将模态控制力转换成实际控制力的方法，以及离散切换面和离散变结构模态控制律的确定方法。

Extraction of modal variables from actual measurements and transform of actual control forces from modal control forces are discussed . Determination methods of discrete-time switching surface and variable-structure modal control law are presented .

本文应用当地流活塞理论，给出了弹性振动翼面的非定常压力分布以及用模态坐标表示的广义气动力系数表达式。

By using the local flow piston theory , the pressure distribution of unsteady flow for wing with elastic vibration , and the formulas about the general aerodynamic coefficients expressed by modal coordinates are obtained .

在撞击过程中，在切割铰中增加撞击铰，导出了以铰坐标和柔性体模态坐标为系统广义坐标的闭环柔性多体系统在撞击阶段的动力学方程。

During the impact , the impact joints are added into the cut joints , the equation of motion of the flexible multibody system with closed loops expressed in relative coordinates and modal coordinates is obtained .

对于不同的系统，引进相关模态坐标系和不相关的模态坐标系，前者适合于弱模态耦合系统，后者适合于高密度模态系统。

The correlated modal coordinate system and the uncorrelated modal coordinate system are introduced for different systems . The former is appropriate to weak modal coupling systems , and the latter is for systems with high modal density .

因为所设计的控制律是模态坐标的函数，而模态坐标不可能通过物理测量直接获得，因此给出一个从物理测量中提取模态坐标的滤波器方法。

Since the controller designed was a function of modal coordinate and modal coordinate can not be obtained directly from physical sensor measurements , a modal filter was presented in this paper to estimate the modal coordinates from physical sensor measurements .

在多柔体系统动力学模型中，部件模态坐标的引入是导致模型高阶的主要原因。

Model reduction is one of the important issues in the dynamics analysis of the multi-flexible system . The model coordinate of the flexible appendages added to the system is the reason that causes the order of the system too high .

对于柔性梁的运动，充分考虑刚柔耦合效应，建立计及动力刚化效应的动力学模型，并用模态坐标法对动力学方程进行离散，得到适于数值计算的离散化模型。

To study the motion of flexible beam , a dynamic model concerning dynamics stiffness effect is been made to solve the rigid-flexible coupling problem . Then a computable dynamic model is got by discrete the dynamic equations with mode shape method .

本文用子结构方法研究刚性小球和均质柔性杆的纵向撞击以及和均质柔性梁的横向撞击问题，导出了用模态坐标表示的动力学方程。

In this paper , a substructure method is used for the longitudinal and transverse impact of a bar ( or a beam ) with a rigid ball . The equation of motion expressed with modal coordinates is derived , which has fewer degree of freedom .

应用这组线性无关的模态集构成坐标变换矩阵，推导出广义坐标下的部件动力学方程。

Using a coordinate transformation matrix , which is formed by these linearly independent mode set , the component equations of motion in generalized coordinates are derived .

声发射/接收技术用于测定模态试验三维坐标，比传统方法节省时间并提高精度。

Sound emission / reception technique is employed to measure three dimensional coordinate in modal testing . Compared to traditional approach , the novel technique can save measurement time and increase measurement accuracy dramatically .

弹性模态各主坐标幅值的大小决定着各弹性模态对总体变形的贡献，低频模态的主坐标幅值要比高频模态的大很多。

The magnitude of the range about the principal coordinates on elastic mode decides the contribution which every elastic mode makes to total distortion and the range of low frequency mode is much larger than it of high frequency mode .

柔性航天器的模态综合-混合坐标动力学建模

Modal synthesis-hybrid coordinate dynamics modeling of flexible spacecrafts