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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.


Papers
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Journal ArticleDOI
TL;DR: In this paper, a simplified method of analysis for tall shear wall-frame building structures with regular window openings is proposed, which idealises a basic structure into an assemblage of "analogous plate-modules" whose stiffness properties are evaluated from finite element computer analyses.

12 citations

Journal ArticleDOI
TL;DR: In this article, the authors derived formulas for the tangent stiffness matrix, concurrently, following the principle of virtual work and the weighted residual formulation, which can easily be applied to more complex structures.

12 citations

Journal ArticleDOI
TL;DR: In this article, an exact dynamic stiffness matrix for a generally layered composite beam on the basis of third-order shear deformation theory is derived by using the analytical solutions of the governing differential equations of the beams in free vibration.
Abstract: An exact dynamic stiffness matrix is formulated for a generally layered composite beam on the basis of third-order shear deformation theory. The Poisson effect and the couplings among the axial, torsion, and bending deformations are incorporated in the one-dimensional beam model. The dynamic stiffness matrix is derived by using the analytical solutions of the governing differential equations of the beams in free vibration. The application of the dynamic stiffness method to investigate the influences of Poisson effect, material anisotropy, slenderness, and boundary condition upon the free vibration characteristics of the laminated beams is demonstrated.

12 citations

Journal ArticleDOI
TL;DR: In this article, an improved procedure for imposing displacement boundary conditions in the direct stiffness method of the finite element analysis is presented, which neither changes the original order of the master stiffness matrix, nor does it require the rearrangement of the coefficient matrix.
Abstract: In this paper, an improved procedure for imposing displacement boundary conditions in the direct stiffness method of the finite element analysis is presented. The proposed procedure neither changes the original order of the master stiffness matrix, nor does it require the rearrangement of the coefficient matrix. Consequently, it is easy to be implemented. Especially, the condition numbers of coefficient matrices of the improved procedure are remarkably reduced; hence the sensitivity of the solution to perturbations is considerably lowered. Numerical examples are used to demonstrate the validity of the proposed procedure. Copyright © 2007 John Wiley & Sons, Ltd.

12 citations

Proceedings ArticleDOI
01 Jan 2010
TL;DR: In this paper, stiffness analysis of a 3-DOF spatial, 3-PSP type, parallel manipulator is investigated, where the moving platform is assumed to be flexible and a continuous method is used for obtaining mathematical model of the manipulator stiffness matrix.
Abstract: In this paper, stiffness analysis of a 3-DOF spatial, 3-PSP type, parallel manipulator is investigated. Most previous stiffness analysis studies of parallel manipulators are performed using lumped model as well as assuming a rigid moving platform. In this paper, unlike traditional stiffness analysis, the moving platform is assumed to be flexible. Additionally, a continuous method is used for obtaining mathematical model of the manipulator stiffness matrix. This method is based on strain energy and Castigliano’s theorem [1]. For this purpose, first we solve inverse kinematics problem then We must find relationship between the applied external torques on the moving platform and the resultant joints forces. Next, strain energy moving platform is calculated. Strain energy of this element is calculated using force analysis and inverse kinematics problem. Finally, a FEM model is generated and used to simulate the physical structure. Simulation results are compared with the analytical model.Copyright © 2010 by ASME

12 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
202334
202270
202123
202022
201930
201842