狭长矩形梁弯曲问题的多项式应力函数解法
The Polynomial Stress Function Solution for the Rectangular Strip Bending
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摘要: 本文给出了求双调和方程和脱里谷米方程的部分特解的一些公式;并得到了分布载荷的集度按纵向坐标的四次幂规律变化时,狭长矩形梁弯曲问题的有限项数形式的多项式精确解.Abstract: In this paper,we propose some formulas for seeking a part of the particular solutions of the heavy harmonics and Tricomi equations and obtain the precise polynomial solutions of the finite-item number for rectangular strip bending problem when the intensity of the distributed load varies with the fourth power of longitudinal coordinate.
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Key words:
- biharmonic equation /
- rectangular strips /
- polynomial solutions
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[1] 袁锰吾,平面问题多项式的一个例子,力学实践,4(3)(1982),68. -
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