【摘要】 为了解决中厚板与双参数弹性地基的共同作用,基于弹性板理论,推导出中厚板弯曲的一种近似方法,求得了双参数地基上自由矩形中厚板弯曲问题的解析解.对数值算例编程求解,与Winkler弹性地基上自由矩形中厚板的解进行比较,并与有限元解、差分解、福氏级数解、叠加解和复级数解进行对比,结果十分接近,证明该方法可行.更多还原

【Abstract】 On the basis of elastic plate theory,an approximate method for solving the bending problem of middle-thick plate is derived in order to solve the coaction of free rectangular middle-thick plate with biparametric elastic foundation.Analytic solution of bending problem of this plate is obtained by numeric evaluation.The solution obtained is compared with that obtained by the method such as Winkler’s,finite element,finite difference,Fourier series,superposition,and complex series;their solutions are almost identical,so that the appoximate method presented is proved to be feasible.更多还原