SOLUTION TO ASYMMETRIC BENDING OF CIRCULAR PLATES UNDER SINGLE LOAD BY USING POINT-SOURCEFUNCTION
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摘要: 本文将作用于板上任意位置的一个垂直于板中面的集中力看作一个点源,用δ函数表示,导出了受集中力作用的圆板非对称弯曲微分方程的封闭式特解和级数式齐次解,从而得出了适用于全板的统一的位移表达式。Abstract: In the present paper, the point-load normal to the middle surface,located at a arbitrary place on a plate, is taken as a point source and expressed as the 6-fun-ction. In the paper is derived the non-homogeneous solution in closed form and homogeneous solution in series form of the differential equation for the bending of the circular plate under single load, thus obtaining the uniform displacement expression valid for the whole plate.
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Key words:
- circular plate /
- asymmetric bending /
- single load /
- point-source function
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