摘要
采用 Kantorovich平均法 ,导出了受切向均布随从力作用下的变温热弹性圆薄板的振型微分方程 ,用打靶法求解了变系数常微分方程特征值问题的数值解。通过数值计算 ,给出了周边不可移简支、固支变温热弹性圆板自振频率和临界载荷的特征曲线以及相应的固有频率和临界发散载荷 ,并分析了变温对非保守圆板自振频率和临界载荷的影响。
By the Kantorovich averaging method, ordinary differential equations of mode shape of varying thermal circular thin plate, subjected to non-conservative forces, are obtained. Numerical solutions to the eigenvalue problem of the ordinary differential equations with variable coefficients are obtained by shooting method. Moreover, the characteristic curves between self-excited frequencies and critical loads and their critical divergence load of the circular plate with unmovable simple supports and clamped supports along edges are plotted, and the effect of variation of the temperature on the self-excited frequencies and critical loads of the non-conservative circular plate is analyzed.
出处
《西安理工大学学报》
CAS
2002年第3期269-273,共5页
Journal of Xi'an University of Technology
基金
陕西省自然科学基金资助项目 ( 99SL 0 7)
陕西省教育厅专项科研计划项目 ( 0 1 JK2 0 2 )
