摘要
分析转动悬臂梁的自由振动问题,通过综合运用解析法和数值方法解决悬臂梁振型函数过于复杂的问题。由于系统本身具有不能忽略的几何非线性因素,使所得到的系统的控制方程为一个强非线性方程。通过引入人工参数的方法,得到系统自由振动的一阶近似解。与采用数值方法得到的系统的自由振动曲线比较表明,采用人工参数法所得到的一阶近似解有较好的精度。
Based on the analytical and numerical method, free vibration of the cantilever beam with rotating motion is analyzed. Due to the influence of the geometric nonlinearity, the governing equation is strongly nonlinear. The first-order approximate solution is obtained by introducing artificial parameter in the equation. Then a comparison of the obtained analytical solution with numerical result shows that the artificial parameter method is effective and accurate to the strongly nonlinear system.
出处
《噪声与振动控制》
CSCD
北大核心
2008年第4期35-37,共3页
Noise and Vibration Control
关键词
振动与波
悬臂梁
强非线性系统
几何非线性
人工参数法
vibration and wave
cantilever beam
strongly nonlinear system
geometrical nonlinearity
artificial parameter method
