A class of bifurcation solutions of almost-periodic parametric vibration systems

A class of bifurcation solutions of almost-periodic (a. p. for short) parametric vibration systems is studied by Liapunov-Schmidt reduction. The bifurcation diagrams and formulas are given. The Project Supported by National Natural Science Foundation of China.     

大型柔性结构振动主动控制的实验研究

本文采用压电陶瓷作为传感器和执行器,对二维柔性板的振动抑制进行了实验研究。指出了在实际系统中采用同位控制存在的问题,并提出了改进的方法,对二维柔性板的振动抑制实验。证实了同位控制的问题,验证了改进方法的有效性。     

含45度斜裂纹圆柱薄壳动态特性试验研究

测量了含45度斜裂纹圆柱薄壳的固有频率并拍摄了相应的激光全息振型图. 实验 表明斜裂纹比轴向和环向裂纹对壳体动态特性的影响更大，致使振型图发生了严重 畸变而显得相当复杂，利用传统思路难以找到裂纹长度对壳体动态特性的影响规律. 为此， 把裂纹周围的振动看作为一种独立的局部振动，从而把含斜裂纹壳体的各种复杂振型划 分为3类：纯局部振动振型、纯原振动振型、局部振动和原振动耦合振型. 其中前两种振型 的固有频率皆随裂纹的加长而降低，但对于耦合振型有时会出现``随裂纹加长频率反而升高 的现象'，这是由于把壳体原振动的频率和局部振动的频率相混淆而产生的错觉.     

基于ANSYS二次开发进行黏弹性结构动力学分析

弹性-黏弹性复合结构目前在结构减振方面应用很广泛,但是现有的有限元分析软件系统尚不能有效地计算这种复合结构．因此对ANSYS进行二次开发,利用ANSYS进行前处理与建模,再利用外挂程序进行模态计算,最后将结果返回ANSYS进行后处理．将理论计算结果与实验结果进行比较,说明这种方法是可行的,计算精度满足要求．在此基础上,还对一体化有限元模型进行了修正,也取得了令人满意的结果．     

横截性理论在碰撞振动系统结构稳定问题中的应用

本文利用横截性理论研究了碰撞振动系统中的结构稳定问题。讨论了结构稳定、稳定、失稳及分叉之间的关系。     

斜拉桥横向振动的半主动筋腱控制

对桥梁等大型土建结构在外扰作用下的振动实施控制是目前的一个研究热点,也是提高结构安全性与耐久性的一条重要途径。本文提出采用磁流变阻尼器（Ｍａｇｎｅｔｏ－Ｒｈｅｏｌｏｇｉｃａｌ Ｄａｍｐｅｒ,ＭＲＤ）与斜拉索构成的半主动筋腱（Ｓｅｍｉ－Ａｃｔｉｖｅ Ｔｅｎｄｏｎ）实现斜拉桥横向振动的半主动控制的原理,讨论了其可行性、具体控制方案和控制算法,给出了一对一双索斜拉桥模型在随机扰动作用下的振动控制仿真结果     

REDUCTION APPROACHES FOR VIBRATION CONTROL OF REPETITIVE STRUCTURES

The reduction approaches are presented for vibration control of symmetric, cyclic periodic and linking structures. The condensation of generalized coordinates, the locations of sensors and actuators, and the relation between system inputs and control forces are assumed to be set in a symmetric way so that the control system posses the same repetition as the structure considered. By employing proper transformations of condensed generalized coordinates and the system inputs, the vibration control of an entire system can be implemented by carrying out the control of a number of sub-structures, and thus the dimension of the control problem can be significantly reduced.     

Nonlinear Vibration Analysis of Timoshenko Beams Using the Differential Quadrature Method

This paper addresses the large-amplitude free vibration of simplysupported Timoshenko beams with immovable ends. Various nonlineareffects are taken into account in the present formulation and thegoverning differential equations are established based on theHamilton Principle. The differential quadrature method (DQM) isemployed to solve the nonlinear differential equations. Theeffects of nonlinear terms on the frequency of the Timoshenkobeams are discussed in detail. Comparison is made with otheravailable results of the Bernoulli–Euler beams and Timoshenkobeams. It is concluded that the nonlinear term of the axial forceis the dominant factor in the nonlinear vibration of Timoshenkobeams and the nonlinear shear deformation term cannot be neglectedfor short beams, especially for large-amplitude vibrations.     

Problem of Vibration Testing of Space Structures

The results of numerical analysis of the parameters of the first-order synergistic effect are analyzed. They are formalized by means of the amplitude-phase-frequency characteristics of a space structure in absolute coordinates as applied to vibration-reliability problems. The synergistic factor is used to estimate quantitatively and qualitatively the synergistic effect of the vibration parameters of the housing on the vibration stability of the test structure __________ Translated from Prikladnaya Mekhanika, Vol. 41, No. 7, pp. 116–121, July 2005.     

GLOBAL BIFURCATION AND CHAOS IN A VAN DER POL-DUFFING-MATHIUE SYSTEM WITH A SINGLE-WELL POTENTIAL OSCILLATOR

The global bifurcation and chaos are investigated in this paper for a van der Pol-Duff-ing-Mathieu system with a single-well potential oscillator by means of nonlinear dynamics. The au-tonomous system corresponding to the system under discussion is analytically studied to draw all globalbifureation diagrams in every parameter space, These diagrams are called basic bifurcation ones. Thenfixing parameter in every space and taking the parametrically excited amplitude as a bifurcation param-eter, we can observe how to evolve from a basic bifurcation diagram to a chaos pattern in terms of nu-merical methods. The results are sufficient to show that the system has distinct dynamic behavior, Fi-nally, the properties of the basins of attraction are observed and the appearance of fractal basin bound-aries heralding the onset of a loss of structural integrity is noted in order to consider how to control theextent and the rate of the erosion in the next paper.