BASIS FOR DERIVATION OF MATRICES FOR THE DIRECT STIFFNESS METHOD
BASIS FOR DERIVATION OF MATRICES FOR THE DIRECT STIFFNESS METHOD
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DOI：
10.2514/3.1869
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发表时间：
1963-07
期刊：
影响因子：
2.5
通讯作者：
R. Melosh
中科院分区：
文献类型：
--
作者：
R. Melosh
回顾了直接刚度法的研究进展。文中列举了扩展定义使该方法成为变分方法的优点。给出了最小势能法的有限元列式。给出了势能位移的明确要求，给出了保证单调收敛的判据。说明性的位移产生了导致单调收敛的矩阵。关于扩展的发展，对可用的矩阵进行了审查。
Previous developments in the direct stiffness method are reviewed. The advantages of extending the definitions to make the method a variational approach are cited. The finite element formulation of the method of minimum potential energy is given. Explicit requirements of potential energy displacements are presented, and a criterion insuring monotonic convergence is developed. Illustrative displacements yielding matrices resulting in monotonic convergence are included. Available matrices are reviewed with respect to the extended developments.