求解变截面梁振动特性的假设模态法  

Assumed Mode Method for Vibration of a Variable Cross-Section Beam with Lump Mass

作　　者：马艳龙[1] 李映辉[1] 

机构地区：[1]西南交通大学力学与工程学院,成都610031

出　　处：《重庆理工大学学报（自然科学）》2015年第4期37-39,52,共4页Journal of Chongqing University of Technology：Natural Science

基　　金：国家自然科学基金资助项目(11372257)

摘　　要：研究了端部附有集中质量的变截面梁的横向振动特性,基于假设模态法给出了其固有频率及振型函数的计算方法。通过工程实例验证了该方法的有效性。数值解和有限元法的结果对比表明,该方法有较好的精度。An analytical method for the vibration of the variable cross-section beam with an object fixed on the free end was developed and its calculation equation of natural frequencies,as well as the method for vibration mode functions was given. To verify the accuracy of this method,an engineering example was investigated and the natural frequencies were validated by making comparisons with those obtained by the finite element method. Consequently,it is observed that there is a good agreement between the frequencies.

关 键 词：变截面梁 固有频率 振型 

分 类 号：TH113[机械工程—机械设计及理论]