关于功的互等定理与叠加原理的等价性
On Equivalents of the Reciprocal Theorem to Superposition Principles
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摘要: 在文中,我们从理论上证明了功的互等定理与位移叠加原理的等价性和与反力叠加原理的等价性.这些等价性具有重要的理论价值和重要的实际价值.同时我们还指出,Castigliano位移方程也能用于求解变形体域内的位移.Abstract: In this paper in the terms of theory we have proved that the reciprocal theorem is equivalent to the superposition principle of displacements and is equivalent to the superposition principle of reactive forces. These equivalents have important theoretical values and practical values. At the same time we also point out that Castigliano's displacement equation can be applied to solve the interior displacement of the region of the deformable body too.
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[1] 钱伟长、叶开沅,弹性力学,科学出版社,(1980). [2] 龙驭球、包世华,结构力学(上册),人民教育出版社. [3] 付宝连,求解位移方程的能量原理,应用数学和力学,2. 6(1981). [4] 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). -
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