Topic
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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01 Jan 2000
TL;DR: In this article, the authors present a matrix approach for structural analysis using finite element methods and spreadsheets, and discuss challenges, opportunities, and solutions in Structural Engineering and Construction.
Abstract: Matrix Structural AnalysisAdvances in Ready Mixed Concrete TechnologyMatrix Analysis of StructuresMatrix Methods of Structural AnalysisStructural Engineering and Geomechanics Volume 1Structural AnalysisStructural Analysis with the Finite Element Method. Linear StaticsMatrix Structural Analysis Using SpreadsheetsStructural Stability And Dynamics, Volume 1 (With Cd-rom) Proceedings Of The Second International ConferenceMatrix Analysis of StructuresMatrix Structural AnalysisProblems in Structural Analysis by Matrix MethodsAn Introduction to Matrix Structural Analysis and Finite Element MethodsEarthquake EngineeringMatrix Methods of Structural AnalysisComputer Methods in Advanced Structural AnalysisMatrix Analysis of Structures, SI EditionStructural Analysis SystemsIntroduction to Structural AnalysisChallenges, Opportunities and Solutions in Structural Engineering and ConstructionMatrix Analysis Framed StructuresMatrix Analysis of StructuresComputer Analysis of StructuresMatrix Methods of Structural AnalysisMatrix Analysis of Structures SI VersionProceedings of the Second International Conference on Structural Stability and DynamicsVibrations, Dynamics and Structural Systems 2nd editionMATRIX METHODS OF STRUCTURAL ANALYSISStructural Analysis : a Matrix ApproachEnergy Principles and Variational Methods in Applied MechanicsHandbook of Structural EngineeringFUNDAMENTALS OF STRUCTURAL ANALYSIS, 2ND EDMATRIX METHODS OF STRUCTURAL ANALYSISOptimal Structural AnalysisMatrix Structural AnalysisMatrix Methods of Structural AnalysisTheory of Matrix Structural AnalysisMatrix Structural AnalysisMatrix Structural AnalysisMatrix Structural Analysis
38 citations
TL;DR: In this paper, a general method for analysis of elasto-plastic beams and frames with large displacements is described, based on inversion of a flexibility matrix, which is computed from an assumed distribution of internal forces along the element axis.
37 citations
TL;DR: In this paper, a solution for the analysis of a prismatic folded plate with arbitrary boundary conditions along the longitudinal joints or folds is presented, and a direct stiffness method in matrix form is used with the individual plates taken as structural elements.
Abstract: A solution for the analysis of a prismatic folded plate with arbitrary boundary conditions along the longitudinal joints or folds is presented. A direct stiffness method in matrix form is used with the individual plates taken as structural elements. The imposed conditions may consist of any combination of known joint loads and displacements. The solution yields results for the unknown joint displacements and reactions, as well as values of longitudinal plate stresses, transverse moments, membrane and normal shears, and transverse membrane forces. Application of both the ordinary and the elasticity theory in the development of the element stiffness matrix is given. A computer program written for the IBM 7090 computer is described, and results obtained using ordinary theory and elasticity theory are compared.
37 citations
TL;DR: In this paper, a finite element method is presented for a nonlocal Timoshenko beam model, which relies on the key idea that nonlocal effects consist of long-range volume forces and moments exchanged by non-adjacent beam segments, which contribute to the equilibrium of a beam segment along with the classical local stress resultants.
37 citations
TL;DR: In this paper, the complete nonlinear equations of joint equilibrium are derived for three dimensional cable and truss structures using the direct stiffness approach for large joint displacements and small member deformations.
Abstract: The complete nonlinear equations of joint equilibrium are derived for three dimensional cable and truss structures using the direct stiffness approach for large joint displacements and small member deformations. The geometric stiffness matrix of the structure is derived solely from the geometrical and statical considerations of a perturbed equilibrium state. Various solution techniques are given for solving the nonlinear problem. Flow charts are given for modification of existing linear programs based on the direct stiffness approach. Several examples are given to illustrate the procedures and to emphasize the importance of nonlinear terms in the stiffness matrix.
37 citations