附带有考虑集中质量的转动惯性的梁固有振动分析  

Vibration analysis of a beam carrying lumped masses with both translational and rotary inertias

作　　者：王栋[1] 

机构地区：[1]西北工业大学航空学院,西安710072

出　　处：《振动与冲击》2010年第11期221-225,共5页Journal of Vibration and Shock

基　　金：航空基金资助项目(2007ZA53002)

摘　　要：研究梁附带集中质量时系统的横向弯曲自由振动,分析过程中同时考虑集中质量的平(移)动和转动惯性。探讨了梁的固有频率相对集中质量位置的一阶导数计算问题,并得到了正确的灵敏度计算公式。数值计算结果表明:集中质量的转动惯性对梁的频率、振型以及灵敏度都有很大的影响。当集中质量的转动惯性较大时,忽略其影响对梁的振动分析可能带来很大的误差。The dynamic behaviors of a uniform slender beam carrying one or two lumped masses with both translational and rotary inertias were studied.At the same time,the frequency sensitivity was analyzed with respect to the position of the lumped mass attached,and a correct expression of the sensitivity was obtained.Numerical results showed that the rotary inertia of a lumped mass affects the natural frequencies,mode shapes and the design sensitivities noticeably; ignoring the rotary inertia,in some cases,may lead to inaccurate results of the beam vibration analysis.

关 键 词：梁-质量系统 集中质量位置 频率灵敏度 转动惯性 优化设计 

分 类 号：O326[理学—一般力学与力学基础]