受集中力质量在受分布力弦上移动时的振动响应分析
发布时间:2018-11-04 15:36
【摘要】:针对受集中力质量在受分布力弦上移动时的振动响应问题,发展了一种半解析求解方法。首先根据力学模型建立了振动方程,然后利用傅里叶变换得到了方程的矩阵形式,并采用Newmark方法编程进行了数值求解。同时为验证方法的正确性,针对特定条件下的振动方程推导了解析解。最后通过半解析求解结果与解析解和文献的对比分析,验证了该方法的正确性。
[Abstract]:A semi-analytical method is developed to solve the vibration response of a concentrated mass moving on a distributed force string. First, the vibration equation is established according to the mechanical model, then the matrix form of the equation is obtained by Fourier transform, and the numerical solution is carried out by using Newmark method. In order to verify the correctness of the method, an analytical solution is derived for the vibration equation under certain conditions. Finally, the correctness of the method is verified by comparing the semi-analytical solution with the analytical solution and literature.
【作者单位】: 中国工程物理研究院总体工程研究所;中国工程物理研究院;
【分类号】:O32
本文编号:2310284
[Abstract]:A semi-analytical method is developed to solve the vibration response of a concentrated mass moving on a distributed force string. First, the vibration equation is established according to the mechanical model, then the matrix form of the equation is obtained by Fourier transform, and the numerical solution is carried out by using Newmark method. In order to verify the correctness of the method, an analytical solution is derived for the vibration equation under certain conditions. Finally, the correctness of the method is verified by comparing the semi-analytical solution with the analytical solution and literature.
【作者单位】: 中国工程物理研究院总体工程研究所;中国工程物理研究院;
【分类号】:O32
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