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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 paper, a procedure for computing the dynamic stiffness matrix relative to the in-plane effect for an orthotropic rectangular plate is described, based on strong solutions for the equations of motion obtained with the Levy series and a Gorman decomposition of the free boundary conditions.
23 citations
TL;DR: In this article, two new procedures for a direct solution without generating the inverse are developed, based on the Sherman and Morris algorithm and the second on a solution of a reduced set of equations in which the independent unknowns are computed directly.
Abstract: This study presents ways to implement the algorithm of Sherman and Morrison when modifications occur in a small part of the structure. For such limited modifications, a corresponding small number of elements in the original stiffness matrix are affected, and the inverse of the new stiffness matrix can be computed efficiently by this method. However, for matrices of high order, this method also becomes time consuming. Therefore, two new procedures for a direct solution without generating the inverse are developed. The first procedure is based on the Sherman and Morris algorithm and the second on a solution of a reduced set of equations in which the independent unknowns are computed directly. Numerical difficulties due to matrix singularity and ways to overcome them are analyzed. A comparative study demonstrates the efficiency of the proposed methods in terms of the number of arithmetic operations in reanalysis of limited structural design.
22 citations
TL;DR: In this paper, the spectral-dynamic stiffness method (S-DSM) was used to study the vibration band gap properties of periodic rectangular plate structures with general boundary conditions.
22 citations
TL;DR: In this paper, the authors developed analytical solution methodology to the micro-mechanics concentric-cylinder model for the inelastic response of metal-matrix composites under thermal loading is illustrated by comparison with the results generated using the finite element approach.
22 citations
TL;DR: In this article, a finite element method is presented for free vibration analysis of thin plates subjected to complex force systems applied in the middle-plane of the plate, where the equation of motion is characterized by the basic stiffness, consistent mass, and incremental stiffness matrices.
22 citations