轴向压力影响下裂纹梁振动特性分析  

Analysis on the vibration characteristics of cracked beams subjected to axial force

作　　者：苟兵旺[1] 刘永寿[1] 何洁[1] 岳珠峰[1] 

机构地区：[1]西北工业大学工程力学系,西安710129

出　　处：《机械设计与制造》2009年第12期211-213,共3页Machinery Design & Manufacture

基　　金：国家高技术研究发展专项(863计划)(2007AA04Z404);陕西省自然科学基础研究计划项目(SJ08A17)

摘　　要：建立了在轴向压力作用下梁的振动方程,通过一无质量扭转弹簧来模拟裂纹所在截面,将裂纹梁分为两段完整梁。基于两段完整梁的振型表达式,推导出了轴向压力作用下裂纹梁的传递矩阵,给出了简支裂纹梁和悬臂裂纹梁的频率方程。用Newton-Raphson方法求解了简支裂纹梁和悬臂裂纹梁的频率方程,把所得结果与有限元分析结果进行了对比分析,研究了裂纹深度、轴向压力对裂纹梁固有频率的影响,验证了推导方法的合理性。The vibration equation of beams subjected to axial force is established.Through simulat-ing the cracked section by a massless torsional spring,the cracked beam is divided into two whole beams.Based on the vibration shapes of the two whole beams,the transfer matrix of cracked beams is obtained.Frequency equations of the simply supported beam and cantilever beam are given.The frequency equations are solved by Newton-Raphson method and the corresponding results are compared with those of finite el-ement method,and effect of axial force and crack depth on the natural frequency of cracked beams is studied.The results above validate that the method is ratuional.

关 键 词：裂纹梁 传递矩阵 轴向压力 固有频率 

分 类 号：TH16[机械工程—机械制造及自动化] O322[理学—一般力学与力学基础]