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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, the exact stiffness matrix of a 3D-beam element with a class of continuously varying cross-sectional properties was derived using direct stiffness method and transfer functions of the beam.
53 citations
TL;DR: In this article, a method to find the exact vibration frequencies of beams resting on variable one-and two-parameter elastic foundations is presented, which is based on a new method that enables one to find a dynamic stiffness matrix for the member including the effects of the variable foundation stiffness.
53 citations
TL;DR: In this paper, a model based on an 18-node zero-thickness isoparametric interface element interacting with a Reissner-Mindlin plate element with three degrees of freedom at each of the nine nodes, which enforce C0 continuity requirements for the displacements and rotations of the midsurface, is proposed.
Abstract: This paper is intended to give some information about how to build a model necessary for bending analysis of rectangular and circular plates resting on a two-parameter elastic foundation, subjected to combined loading and permitting various types of boundary conditions. The formulation of the problem takes into account the shear deformation of the plate and the surrounding interaction effect outside the plate. The numerical model based on an 18-node zero-thickness isoparametric interface element interacting with a thick Reissner–Mindlin plate element with three degrees of freedom at each of the nine nodes, which enforce C0 continuity requirements for the displacements and rotations of the midsurface, is proposed. Stiffness matrices of a special interface element are superimposed on the global stiffness matrix to represent the stiffening elastic foundation under and beyond the plate. Some numerical examples are given to illustrate the advantages of the method presented. Copyright © 2001 John Wiley & Sons, Ltd.
53 citations
TL;DR: In this paper, a simple model for stiffness prediction is first established based on some accurate approximations, and then moment stiffness and force stiffness are analyzed in order to better characterize the influences of the geometric parameters.
53 citations
TL;DR: In this article, the basic idea is brought to a logical conclusion by the direct construction of the factorised form of the elemental and overall stiffness matrices from their natural stiffness roots, denoted as the natural factor formulation.
52 citations