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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TL;DR: In this paper, the lateral stiffness of polygonal diagrid tube structures is calculated by modular method and verified by finite element method, and intersection law of structural lateral displacement curves is achieved.
Abstract: Summary
High-rise diagrid tube structures are widely used in high-rise buildings because of their strong lateral stiffness and flexible arrangement of plane layout. The lateral stiffness of rectangular diagrid tube structures is studied by many researchers, but it seldom attracts attention for arbitrary polygonal ones. Therefore, it is necessary to propose a calculation model for lateral stiffness of arbitrary polygonal diagrid tube structures. First, the basic concept of modular method is defined. Assuming that diagonals are only subjected to axial force, a calculation model of lateral stiffness of arbitrary polygonal diagrid tube structures is presented. The lateral displacements of structures are calculated by modular method. Then the accuracy of modular method and calculation model of lateral stiffness are verified by finite element method. Intersection law of structural lateral displacement curves is achieved. Taking the top displacement of structures as the reference index and based on the principle of equivalent material, diagonal angle optimization method is proposed, whose rationality is validated by finite element method. Based on the design method of top displacement control, preliminary design method of cross section of diagonals is suggested. Results in this paper are expected to provide a theoretical reference for preliminary engineering design.
28 citations
TL;DR: In this article, the stiffness matrix for a vector tetrahedron is expressed in terms of universal matrices, and the method is validated by comparison with exact values or with derivatives obtained by a finite-difference formula.
Abstract: Obtaining design sensitivities for electromagnetic quantities by finite element analysis requires explicit expressions for the derivatives of the local stiffness matrix with respect to design parameters. By expressing the stiffness matrix for a vector tetrahedron in a certain way, the required derivatives are easily evaluated in terms of universal matrices. The method is validated by comparison with exact values or with derivatives obtained by a finite-difference formula.
28 citations
01 Jan 1994
TL;DR: In this article, the contribution of individual element stiffness to the overall structural stiffness matrix was analyzed and the method of solution of the non-linear stiffness equations was proposed for two-dimensional cable structures.
Abstract: * Analysis of general two-dimensional cable structures * The contribution of individual element stiffness to the overall structural stiffness matrix * The method of solution of the non-linear stiffness equations * Computer program flow chart * Analysis of three * Dimensional cable structures * Appendices
28 citations
TL;DR: In this article, the authors formulate a free and forced vibration analysis algorithm for frame structures using the transfer dynamic stiffness coefficient method, which is based on the concept of the transfer of the dynamic stiffness coefficients which is related to the force and displacement vector at each node from the left end to the right end of the structure.
28 citations
TL;DR: A finite element for bond stress-slip analysis is presented in this article, where the relationship between axial force and slip at the elements nodes is expressed through a stiffness matrix.
Abstract: A new finite element for bond stress‐slip analysis is presented. A one dimensional model which is based on equilibrium and local bond stressslip law is developed. The relationship between axial force and slip at the elements nodes is expressed through a stiffness matrix. The global stiffness matrix is assembled and solution yields slip, strain and stress distributions along the steel bar. The nonlinear bond stress‐slip relationship leads to an iterative technique which is found to converge rapidly. The proposed method predictions are compared with experimental results of monotonic and push‐pull tests and very good correspondence is found.
28 citations