弹性约束边界圆环板面内自由振动的二维弹性解

发布时间：2018-06-07 05:52

  本文选题：圆环板 + 面内自由振动　； 参考：《计算力学学报》2016年05期

【摘要】：基于二维线弹性理论,应用哈密顿原理导出弹性约束边界圆环板面内自由振动的控制微分方程。采用微分求积法(DQM)数值研究了弹性约束边界圆环板面内自由振动的频率特性。通过设置弹性刚度系数为0或∞,问题退化为四种典型边界圆环板的面内自由振动,与已有文献的计算数值结果进行比较,证实本文的分析求解方法行之有效。最后全面考虑了圆环板边界条件、几何系数及刚度系数对自振频率的影响。
[Abstract]:Based on the two-dimensional linear elasticity theory, the governing differential equations for the free vibration in the plane of a circular ring with elastic constraints are derived by applying the Hamiltonian principle. By using differential quadrature method (DQM), the frequency characteristics of the free vibration in the plane of a circular ring plate with elastic constraints are studied numerically. By setting an elastic stiffness coefficient of 0 or 鈭，

本文编号：1990079