首页 | 本学科首页   官方微博 | 高级检索  
     检索      

多跨梁离散系统的频谱和模态的定性性质
引用本文:王其申,吴磊,王大钧.多跨梁离散系统的频谱和模态的定性性质[J].力学学报,2009,41(6):947.
作者姓名:王其申  吴磊  王大钧
作者单位:安庆师范学院物理与电气工程学院 安庆师范学院物理与电气工程学院 北京大学工学院力学与空天技术系
摘    要:采用差分法建立了两端任意支承多跨梁的差分离散模型,对只具有两端支 承的单跨梁是正系统的情形,导出了对应的多跨梁差分离散系统的柔度系数;从单跨梁正 系统的刚度矩阵的符号振荡性出发,通过引入辅助系统,讨论了多跨梁的柔度矩阵的振荡 性,确定了对应于单跨梁正系统的多跨梁差分离散系统的频谱和模态的一系列定性性质.

关 键 词:多跨梁  柔度矩阵  频谱  模态  定性性质
收稿时间:2008-03-10
修稿时间:2009-01-14

SOME QUALITATIVE PROPERTIES OF FREQUENCY SPECTRUM AND MODES OF DIFFERENCE DISCRETE SYSTEM OF MULTIBEARING BEAM
Wang Qishen , Wu Lei , Wang Dajun.SOME QUALITATIVE PROPERTIES OF FREQUENCY SPECTRUM AND MODES OF DIFFERENCE DISCRETE SYSTEM OF MULTIBEARING BEAM[J].chinese journal of theoretical and applied mechanics,2009,41(6):947.
Authors:Wang Qishen  Wu Lei  Wang Dajun
Institution:Department of Mechanics and Engineering Science, Peking University, Beijing 100871, China
Abstract:The qualitative properties of the frequency spectrum and modes were studied extensively for the nonhomogeneous single span beams, in which the discrete and continuous systems were included. However, the qualitative properties about the multispan beams were studied and only shown in the book ``Oscillation Matrices and Kernels and Small Vibrations of Mechanical Systems' published by Gantmakher, F. P. and Krein, M. G. The discrete model given in this book was formed by adding several masses to massless continuous system of the multispan beam, and the adopted method was based on the influence function of the beam, related to the positive systems. Nevertheless, the conditions about the positive systems were not discussed in the above-mentioned book. In this paper the difference discrete models of the multispan beam with arbitrary supports at two ends are established. According to the above book, the flexibility coefficient of the above models corresponding to the positive single span beam systems is given. The oscillating property of the flexibility matrix of the multispan beam is determined based on that of the positive single span beam systems by introducing an auxiliary system. A series of qualitative properties of the frequency spectrum and modes of the multispan beams are obtained.
Keywords:multispan beam  flexibility matrix  frequency spectrum  modes  qualitative properties
本文献已被 万方数据 等数据库收录!
点击此处可从《力学学报》浏览原始摘要信息
点击此处可从《力学学报》下载免费的PDF全文
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号