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Theory of matrix structural analysis

About: The article was published on 1985-01-01 and is currently open access. It has received 1710 citations till now. The article focuses on the topics: Design structure matrix & Direct stiffness method.
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Book
01 Jan 1989
TL;DR: In this article, the authors propose a floating frame of reference formulation for large deformation problems in linear algebra, based on reference kinematics and finite element formulation for deformable bodies.
Abstract: 1. Introduction 2. Reference kinematics 3. Analytical techniques 4. Mechanics of deformable bodies 5. Floating frame of reference formulation 6. Finite element formulation 7. Large deformation problem Appendix: Linear algebra References Index.

2,125 citations

Book ChapterDOI
01 Jan 1997
TL;DR: This chapter summarizes basic ideas of domain decomposition methods and references are furnished to several recent uses ofdomain decomposition.
Abstract: Domain decomposition methods are iterative methods for the solution of linear or nonlinear systems that use explicit information about the geometry, discretization, and/or partial differential equations that underlie the discrete systems. Considerable research in domain decomposition methods for partial differential equations has been carried out in the past dozen years. Recently, these techniques have begun to be applied to “real-world” engineering problems. This chapter summarizes basic ideas of domain decomposition methods. Though no particular applications are discussed, references are furnished to several recent uses of domain decomposition.

955 citations

Journal ArticleDOI
TL;DR: In this paper, the structural mechanics of assemblies of bars and pinjoints, particularly where they are simultaneously statically and kinematically indeterminate, are investigated, and an algorithm is set up which determines the rank of the matrix and the bases for the four subspaces.

683 citations

Book
01 Jan 1990
TL;DR: In this article, the finite element displacement method was used for the analysis of free vibration of plates and shells, and for the simulation of forced response and forced response analysis of rigid and flexible plates.
Abstract: 1 Formulation of the equations of motion 2 Element energy functions 3 Introduction to the finite element displacement method 4 In-plane vibration of plates 5 Vibration of solids 6 Flexural vibration of plates 7 Vibration of stiffened plates and folded plate structures 8 Vibration of shells 9 Vibration of laminated plates and shells 10 Hierarchical finite element method 11 Analysis of free vibration 12 Forced response 13 Forced response II 14 Computer analysis technique

592 citations

Journal ArticleDOI
TL;DR: In this paper, the authors present a comprehensive review of the literature on footbridges' vibration serviceability, focusing on three key issues: vibration source, path, and receiver.

571 citations


Cites background from "Theory of matrix structural analysi..."

  • ...When required, the geometric stiffness should be considered together with the elastic stiffness [84], having in mind that compression force reduces and tension force increases the stiffness....

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