摘要
传统方法进行拓扑结构静态特性分析时,存在分析不便、矩阵存储量大等问题。对此,在经典的传递矩阵法的基础上,提出扩展状态矢量的传递矩阵法。该方法对每个输入端点几何关系与力学状态进行动力学方程推导,得到分叉子系统的扩展传递矩阵,使其可对复杂的树型拓扑结构进行有效静态振动分析,得到其静态特性的精确解。扩展传递矩阵法保持了经典传递矩阵法的优点,且易于编程和分析。数值算例表明:采用扩展传递矩阵法进行复杂拓扑结构静态特性分析具有计算结果准确、简便快捷的特点。
There are inconvenience and large matrix storage to the static vibration of tree topologyanalysis in conventional approach,so the extended state vector transfer matrix method is developed on the classical transfer matrix method,through deducing the geometrical relation and force state of every end to receive extended transfer matrix of branchedsubsystem,which was used to analyze the natural vibration of complex tree topology effectively,to obtain the accurate solution.This method remain the advantage of classical transfer matrix method and easy to programming and analysis.Finally,some numerical examples are givento demonstrate the proposed method correctly and conveniently for analyzing complex topology.
作者
张智聪
刘夫云
伍建伟
杨超
ZHANG Zhi-cong;LIU Fu-yun;WU Jian-wei;YANG Chao(School of Mechanical and Electrical Engineering of Guilin University of Electronic Technology,Guangxi Guilin541000,China)
出处
《机械设计与制造》
北大核心
2019年第9期21-25,共5页
Machinery Design & Manufacture
基金
国家自然科学基金(51265006)
广西科技开发项目(1598007-51)
广西科学技术开发项目(桂科AC16380078)
桂林电子科技大学研究生教育创新计划资助项目(2017YJCX02)
