应用功的互等定理计算弹性圆薄板挠曲面方程
Application of Reciprocal Theorem for Caculating the Transverse Displacement Equations of the Thin Elastic Circular Plates
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摘要: 本文在文献[1],[2]的基础上,进一步将功的互等定理推广应用于弹性圆薄板.提出一种求解具有复杂边界条件,受复杂载荷作用的圆板挠曲面方程的简便,通用的新方法.Abstract: On the basis of [1] and [2], this paper further extends the Reciprocal Theorem to the thin elastic circular plates and proposes a general convenient new method, which can easily solve the transverse displacement equations of the circular plates with various complex edges and loads.
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[1] 付宝连,一种计算位移方程的新方法,东北重型机械学院第三届学术交流会(1981,1). [2] 付宝连,应用功的互等定理求解具有复杂边界条件的矩形板的挠曲面方程,应用数学和力学,3,3(1982). [3] 钱伟长、叶开沉,《弹性力学》,科学出版社(1966). [4] Timoshenko,S.and S.Woinowsky-Krieger,Theory of Plates and Shells,2nd Edtion(1959). -
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