摘要
提出了一种在极坐标下求解正多边形薄板弯曲的新方法．在均布荷载条件下，通过选取满足特定对称条件的试函数，得到正多边形弹性薄板弯曲问题的级数展开解法，在挠度或弯矩表达式中仅取前５项，就可获得较高精度的结果，该方法能较好地解决特定正多边形薄板的弯曲问题，既可适用于求解均布荷载下的任意正多边形薄板的弯曲问题，也可以推广到承受任意荷载的任意正多边形薄板．
A new method is proposed to solve bend- ing problems of thin uniformly loaded plates of reg- ular polygon shape in polar coordinates. Selecting a trisl function, which satisfies symmetrical condi- tions, the series solutions of uniformly loaded regu- lar polygon plates can be found. A good result can be obtained with only first five terms of the deflec- tion or bending moment formula. The result agree well with those of the same configuration plates in literature. This method can be applied to arbitrary thin regular polygon plates with uniform load or ar- bitrary loads.
出处
《力学与实践》
CSCD
北大核心
2001年第6期35-38,59,共5页
Mechanics in Engineering
