自由振动

介绍了一种平面杆系结构自由振动的解析解法。

The analytic method for the free vibration of plane frame structure is presented .

Green函数法解非均匀弹性地基板的自由振动

Application of the green 's function method to the free vibration problems of plates elastically supported on a nonhomogeneous Foundation

状态空间微积分法分析Winkler地基梁的自由振动

Free vibration analysis of beams on Winkler foundation via state-space-based differential quadrature

非均匀曲线支承矩形Mindlin板的自由振动

Free vibration of rectangular Mindlin plate with nonuniform curve supports

变截面Timoshenko悬臂梁自由振动分析

Free Vibration of Non-uniform Timoshenko Cantilever Beams

等腰三角形Mindlin板的自由振动分析

Free Vibration of Triangular Mindlin Plates

基于Zig-Zag变形假定的复合材料夹层板的自由振动

Free Vibration of Composite Sandwich Plates Based on Zig-Zag Deformation Assumption

算例中利用Ritz法求得了简支核-壳纳米线的屈曲临界荷载和自由振动频率。

Critical buckling loads and resonant frequencies of simply supported nanowires are obtained by using the Ritz method .

但地震停止后，TLD使模型结构的自由振动迅速衰减。

However , after stopping the earthquake excitation , the free vibration of TV tower with TLD decays very fast .

首先利用Fourier级数展开与平均法研究非线性碟簧系统的自由振动，讨论影响自由振动的振幅和频率的各种因素；

Natural vibration of the nonlinear disk spring system is investigated by using the Fourier series analysis and average method . Various factors that effect the amplitude and frequency of the natural vibration are discussed .

扇形板自由振动的Fourier-Bessel级数解

Solution of the Free Vibration of a Sector Plate by Fourier-Bessel Series

出了一种新方法来对基于Mindlin剪切变形理论的矩形厚板进行自由振动分析。

This paper introduces a new method for the free vibration analysis of thick rectangular plates based on Mindlin shear deformation theory .

利用ANSYS建立接触网的有限元模型，通过有限元模态分析得到刚性悬挂接触网自由振动的频率及振型，并从模拟计算结果中分析了刚性悬挂的一些动力特性。

By using ANSYS , the finite element model of the catenary is set up . The free vibration frequency and mode of the rigid suspension catenary is determined by means of limit element modal analysis .

通过对未知变量在空间上采用Bessel函数离散，并应用Galerkin方法，得到了仅含时间函数的系统的非线性自由振动控制方程，最后采用谐波平衡法对此控制方程进行求解。

Adopting Bessel function on the space , the dimensionless differential motion equations are got with Galerkin method . The harmonic Balance method is used to solve the equations .

本文应用Mindlin理论，也就是所谓的一次剪切变形理论，研究任意形状中厚板的自由振动特性。

This paper uses Mindlin theory and presents a new method to solve the problem of free vibration of moderately thick plates with arbitrary shape .

本系统是利用MATLAB的GUI工具设计的具有良好人机交互界面的线性振动信号处理与分析系统，主要功能包括振动信号合成、自由振动、激励振动的系统响应以及减振隔振系统的参数设计。

This system is a linearity vibration signal processing and analyzing system designed with GUI of MATLAB . Its main function includes : synthesize of signal , response of free vibration and forcing vibration and design of parameters of system reducing and separating vibration .

以后，以应力应变滞后一位相v的非线性结构阻尼模型，建立了粘滞阻尼和结构阻尼共同影响下的振动微分方程，求得了它的自由振动解，正弦响应和随机响应。

Afterwards , a non-linear structural damping model based on the phase difference V between stress and strain was proposed . The differential equation of the plate with the viscous damping and structural damping was established . General solution of this equation for free vibration was obtained .

探讨了自由振动时无限长Bernoulli-Euler梁和Timoshenko梁中波的性质。

The characteristics of waves propagated in the Bernoulli-Euler and Timoshenko beam that vibrate freely have been analyzed , as the basis of the solution to the critical velocities .

对粘滞阻尼线性系统和立方非线性系统的自由振动响应进行Morlet复小波变换，从脊线上的小波系数提取瞬态参数从而识别固有频率、模态阻尼和非线性系数。

The impulse response of the linear and non-linear viscous damping system is analysed by Morlet wavelet . The transient frequencies and amplitude are obtained from the ridges of the wavelet transform .

用MLP方法求解一类同时具有二次和三次项的强非线性系统的自由振动问题，得到其二级近似解。

The Solutions of a kind of strongly nonlinear system with quadratic and cubic nonlinearities are derived by means of the MLP method , and its second order approximate solutions are obtained .

基于一般壳体理论和Reddy型剪切精化理论，发展出适用于充气轮胎自由振动分析的曲面壳模型。

A Doubly-Curved Shell Model is presented to analyze free vibrations of pneumatic radial tires based on the general shell theory and Reddy type refined theory with higher-order shear deformation .

首先，根据Hamilton原理推导了曲梁自由振动的控制微分方程，并将其转化为Hamilton形式。

This thesis extends this accurate method to the curved beam structures and sets up an exact algorithm for them . Firstly , according to the Hamilton principle , governing differential equations for the free vibration of curved beams are derived and changed to the Hamilton form .

在简单介绍微分求积方法（DQ方法）基本原理的基础上，给出了线性弹性力学空间轴对称问题在静态和自由振动两种情况下的DQ离散化方程，并进行了数值计算。

Based on the principle of differential quadrature method ( DQM ), the DQ discretization equations of space axial symmetry problems in elasticity in two cases of static state and free vibration are derived , and numerical calculations are implemented in the present paper .

通过直接求解均匀Bernoulli-Euler薄壁梁单元自由振动的控制运动微分方程，推导了其精确的动态传递矩阵。

The exact dynamic transfer matrix is derived for a straight and uniform Bernoulli-Euler thin-walled beam element whose elastic and inertial axes are not coincident by directly solving the governing differential equations of motion of the beam .

首先通过直接求解单对称均匀Timoshenko薄壁梁单元弯扭耦合振动的运动偏微分方程，给出了计算其自由振动的精确方法，并导出了Timoshenko弯扭耦合薄壁梁自由振动主模态的正交条件。

Firstly , the accurate calculation method for free vibration of Timoshenko thin-walled beam was derived by solving the governing motion partial differential equation of monosymmetric uniform Timoshenko thin-walled beam element . Also the orthonormality condition of principal mode of free vibration of Timoshenko thin-walled beam was derived .

本文用单三角级数把单向变厚度矩形板的屈曲和自由振动控制方程化为常微分方程特征值问题，转而采用CDE求解器&插值矩阵法获解。

In this paper , the governing differential equations of buckling and free - vibration of the thin rectangular plates with variable thickness are transformed to the eigenvalue problems of ordinary differential equations with one Fourier series , and therefore are solved by an ODE solver-interpolating matrix method .

由自由振动响应识别非线性系统参数的一种方法

A Method of Identification of Nonlinear System Parameters from Free Response

点支矩形板自由振动的新解法

A New Approach for the Free Vibration of Point-supported Rectangular Plates

压电板壳自由振动的三维精确分析多层压电材料层合板的精确解

Three-Dimensional Exact Analyses of Free Vibrations for Piezoelectric Plates and Shells

其一是保守系统的非线性自由振动；

The one is the nonlinear free oscillation of conservative system .