有初始缺陷梁在热状态下的非线性振动

Nonlinear Vibration of Beam With Initial Defect Under Thermal State

采用傅立叶级数法研究了有初始缺陷梁在热状态下的非线性振动,推导出了该问题的近似解。研究结果表明,采用傅立叶级数法研究非线性振动问题,不但计算简便而且克服了常规L-P法不便于求高阶近似解的缺陷。实例计算表明初始缺陷、温度等因素对梁非线性振动影响很大。

The nonlinear vibration of beam with initial defect under thermal state is studied by Fourier's series method,and the approximate solution is obtained.The research results show that it is simple to solve nonlinear vibration problem by Fourier's series method,and this method overcomes the defect of getting higher-order approximate solution by routine L-P method.The effects of initial defect and temperature upon the nonlinear vibration of beam are great by calculating the examples.