摘要
为了建立矩形板在弹性约束边界条件下的振动模型,采用横向位移弹簧、旋转约束弹簧和扭转约束弹簧三种类型的弹簧对模拟边界条件。矩形板结构的振动位移函数采用二维Fourier余弦级数加辅助级数的形式来描述,通过引入辅助项使矩形板结构的振动位移函数适用于任意弹性边界条件。结合Rayleigh-Ritz法和Mindlin理论得到矩形板结构在任意边界条件下振动响应的矩阵表达式。最后进行了数值仿真计算,研究了弹簧刚度变化时矩形板结构的响应规律。
In order to establish the vibrational model of the rectangular plates with elastic restraining boundary condition, three kinds of restraining springs （rotational, torsional and translational springs） along every edge are used to simulate the conditions. The vibration displacements of the plate are sought as the linear combination of a double Fourier cosine series and auxiliary series. Because of these supplementary functions, the vibration displacements can be used by arbitrary elastic boundary conditions. Then Rayleigh-Ritz method based on Mindlin plate theory can give the vibration matrix expression of the rectangular plate. Finally nu- merical analyses are performed, and the spatial distributions of vibration power flow are obtained.
出处
《机械管理开发》
2016年第3期32-35,共4页
Mechanical Management and Development
