应用功的互等定理法求立方体的位移解
Application of the Method of the Reciprocal Theorem to Finding Displacement Solutions of Cubes
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摘要: 本文推广功的互等定理法于求解弹性力学空间问题.首先,我们给出作为基本系统的六面固定的立方体的基本解,然后在受单位集中载荷作用的基本系统与已知表面位移的实际系统之间应用功的互等定理,从而求得实际系统的位移解.Abstract: In this paper the method of reciprocal theorem is extended to find solutions of three-D problems of elasticity.First we give the basic solution of the cube with six surfaces fixed as the basic system and then using the reciprocal theorem between the basic system acted on by unit concentrated loads and the actual system with prescribed surface displacements, we find displacement solution of the actual system.
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[1] 付宝连,一个求解位移方程的新方法,东北重型机械学院第三届学术报告会(1981, 1). [2] 付宝连,应用功的互等定理求解具有复杂边界条件矩形板的挠曲面方程,应用数学和力学,3,3 (1982), 315-325. [3] 付宝连,关于功的互等定理与叠加原理的等价性,应用数学和力学,6, 9 (1985), 813-818. [4] 付宝连,应用功的互等定理计算矩形弹性薄板的自然频率,应用数学和力学,6, 11 (1985),985-998. [5] 付宝连,关于求解弹性力学平面问题的功的互等定理法,应用数学和力学,10, 5 (1989),(待发表). [6] 钱伟长、叶开沅,《弹性力学》,科学出版社(1968). -
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