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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, a new numerical analysis procedure is presented for the nonlinear analysis of structures, which relies on the natural evolution of localized inelastic quantities within the element, that is, the plastic deformation evaluated at properly defined collocation points rather than the evaluation of global and varying state matrices.
Abstract: A new numerical analysis procedure is presented for the nonlinear analysis of structures. The proposed methodology is developed within the framework of the direct stiffness method and the hysteretic formulation of finite elements. The derived numerical scheme relies on the natural evolution of localized inelastic quantities within the element, that is, the plastic deformation evaluated at properly defined collocation points rather than the evaluation of global and varying state matrices. This is accomplished by considering the additive decomposition of the total strain rate into elastic and plastic parts. Using the principle of virtual work, an equilibrium expression is derived in which the total applied load is equilibrated by an elastic internal force vector and an additional term acting as a nonlinear correction to the elastic component. The evolution of the plastic components is based on a smooth multiaxial hysteretic law that is derived within the framework of classical plasticity. Examples are presented that demonstrate the validity of the proposed method and its computational advantages with respect to existing methods of inelastic analysis.
23 citations
01 Jan 1974
TL;DR: In this paper, it is shown that the normal and shear stiffness of machine surfaces can be calculated from the parameters that define the normal stiffness of the machine surfaces, which can then be used to calculate the shear stiffness.
Abstract: This paper presents in the first place some remarks on the normal and shear stiffness of machine surfaces. It is shown that the shear stiffness can be calculated from the parameters that define the normal stiffness of the machine surfaces.
23 citations
TL;DR: In this article, a spectral element method was proposed to analyze the mechanical response of transversely isotropic elastic multi-layered pavement structure subjected to axisymmetric loading, and the global stiffness matrix was obtained by assembling the interrelated layer elements based on the principle of the finite element method and the boundary conditions.
23 citations
TL;DR: In this article, state-of-the-art finite elements are used to determine the out of plane stiffness of a planar parallel platform for machining operations, and the optimization is carried out by means of two gradient-based methods, namely LFOPC and Dynamic-Q.
23 citations
TL;DR: The stiffness method of matrix structural analysis was applied to furniture frame design, and modifications of it which are needed to treat frames with semi-rigid, elastically non-linear joints of finite size were developed as mentioned in this paper.
Abstract: The engineering design of furniture frames was investigated. The stiffness method of matrix structural analysis was applied to furniture frame design, and modifications of it which are needed to treat frames with semi-rigid, elastically non-linear joints of finite size were developed. A method of designing two-pin moment-resisting dowel joints was also developed. An experimental furniture frame was designed using the theories formulated. Results of tests performed on this frame agreed satisfactorily with those predicted theoretically.
23 citations