简支矩形薄板横向激励非线性振动特性的实验研究  

Experimental Investigation on Nonlinear Vibrations of Simply Supported Rectangular Thin Plate Subjected to Transverse Excitation

作　　者：张伟[1] 何运成[1] 曹东兴[1] 姚明辉[1] 

机构地区：[1]北京工业大学机电学院,北京100124

出　　处：《科技导报》2009年第2期21-24,共4页Science & Technology Review

基　　金：国家杰出青年科学基金项目(10425209);国家自然科学基金重点项目(10732020);国家自然科学基金项目(10802001;10872010)

摘　　要：对四边简支且受横向集中简谐载荷作用矩形薄板的非线性振动响应进行实验研究。利用捶击实验测得薄板的固有频率,在固有频率区域内对矩形薄板进行振动实验,对采集到的振动信号进行了相图和频谱分析,结果发现在矩形薄板的共振频率附近,在一定的激励幅值作用下,系统会产生倍周期分岔和混沌运动等复杂非线性现象。Nonlinear vibrations of a simply supported rectangular plate subjected to transverse exitation are experimentally investigated in this paper. The plate is placed in a special test frame in which four thick blocks with V-grooves hold the test plate to enforce required boundary conditions. The two groups of plate edges are movable during the test. A shaker fixed above the plate is used to provide the desired excitation. The resonance frequencies are obtained by hammering method and the vibration experiments are carried out in the resonance frequency zones. Nonlinear analyses are made by changing the exciting frequency and amplitude. The waveforms, phase portraits and amplitude spectrums are obtained to show that this system can exhibit complicated nonlinear dynamic characteristics, including periodic doubling bifurcations and chaotic motions under certain excitation frequency and amplitude conditions.

关 键 词：混沌实验 简支矩形薄板 非线性振动 

分 类 号：O322[理学—一般力学与力学基础]