任意载荷作用下矩形弹性薄板横向弯曲的一个高精度近似解*

李兹法是近似求解弹性薄板横向弯曲的一种广泛使用的有效方法,其精度完全取决于基函数的选择.本文根据矩形薄板横向弯曲的特点,将基函数选择为正弦三角级数与多项式函数的叠加,不但公式简单易程序化,而且有着很高的精度.本文最后给出了两个算例,并与经典结果进行了比较.

An Approximate Solution with High Accuracy of Transverse Bending of Thin Rectangular Plates under Arbitrarily Distributed Loads

Ritz method is an effective way widely used to analyze the transverse bending of thin rectangular plates. Its accuracy completely depends on the basis functions selected. This paper selects the superposition of sine series with polynomials as the basis functions of thin rectangular plates. The calculating formulae are not only simple &nd easily programmed, but also have high ' accuracyt Fishily, two numerical results are given and compared with'cthose obtained, b5r the classical method.