【摘要】 用叠加法研究了矩形板在四周弹性支承下的解析解,推导出各种边界条件下矩形板的解的统一表达式,通过四周弹性支承梁与板在边界的位移和转角协调,得到弹性支承矩形板的解析解,并且可以改变梁的刚度EI与GIt,得出荷载作用下各种边界条件下的矩形板的解.最后对结果的准确性进行了验证.更多还原

【Abstract】 In order to study the analytic solution of four sides elastic-supported rectangular thin plate,the analytic solution expression of various boundary conditions of rectangle thin plate is written out through principle of superposition.With the displacement and rotation compatible analysis of edge beam and rectangle thin plate,the analytic solution has been obtained.Through altering the value of EI and GI_t,the solution of rectangle thin plate with various boundary conditions in the loading condition of any local even force could be obtained.And at last the accuracy of computational results is demonstrated.更多还原