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Direct stiffness method
About: Direct stiffness method is a research topic. Over the lifetime, 2584 publications have been published within this topic receiving 53131 citations.
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TL;DR: In this article, the dynamic stiffness matrix of a uniform beam element in bending is obtained and the direct stiffness method for vibration analysis of frames with rigid joints can be applied to those with semi-rigid joints.
42 citations
TL;DR: In this article, the authors present a method that extends the flexibility matrix method for multilayer elasticity problems to include problems with very thin layers and make use of power series expansions of the various components of the flexible matrix in order to arrive at a system of equations that is appropriately scaled.
42 citations
TL;DR: In this article, an incrementally small-deformation theory is presented for the large-displacement nonlinear analysis of structural frames, based on the assumption of small strains, small rotations, and small displacements within each incremental step.
42 citations
TL;DR: In this article, the authors explored the use of nonlinear stiffness elements to absorb energy by deformation and some damping mechanism to dissipate residual vibration, focusing in providing an isolation system with low dynamic stiffness.
41 citations
TL;DR: In this article, the authors presented a recursive algorithm of stiffness matrix method with improved efficiency for computing the total and surface stiffness matrices for a general multilayered anisotropic media.
Abstract: This paper presents the recursive algorithm of stiffness matrix method with improved efficiency for computing the total and surface stiffness matrices for a general multilayered anisotropic media. Based on the eigensolutions commonly available for analysis of such media, the recursive algorithm deals with eigen-submatrices directly and bypasses all intermediate layer stiffness submatrices. The improved algorithm obviates the need to compute certain inverse of the original scheme and makes the stiffness matrix recursion more robust. In situation where transfer matrix is numerically stable and easily accessible, an improved recursive algorithm is also given directly in terms of transfer submatrices without involving their explicit inverse.
41 citations