NUMERICAL-METHODS FOR ELASTIC STRUCTURAL STABILITY ANALYSIS

被引：0
作者：
KAMDAR, DS
BESKOS, DE
机构：
[1] Department of Civil, Mineral Engineering University of Minnesota, Minneapolis
来源：
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 1979年 / 19卷 / 02期
关键词：
D O I：
10.1016/0045-7825(79)90075-6
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
The Gauss-Seidel, the successive overrelaxation, the conjugate gradient, the Cholesky's square root and the Cholesky's decomposition methods for solving systems of linear algebraic equations encountered in structural analysis are considered. Theorems for these methods establishing necessary and sufficient conditions for the matrix of the coefficients to be positive definite are converted into criteria for elastic structural stability. Numerical procedures, by using these methods in conjunction with their corresponding stability criteria, for checking the elastic stability and determining the elastic critical load of a structure are proposed. Application of these procedures to the stability analysis of plane frameworks leads to the conclusion that the proposed direct schemes are more efficient than the iterative ones. © 1979.
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页码：205 / 222
页数：18
相关论文
共 27 条
  • [1] Hoff, Stable and unstable equilibrium of plane frameworks, Journal of the Aeronautical Sciences (Institute of the Aeronautical Sciences), 8, pp. 115-119, (1941)
  • [2] Boley, Numerical methods for the calculation of elastic instability, Journal of the Aeronautical Sciences (Institute of the Aeronautical Sciences), 14, pp. 337-348, (1947)
  • [3] Bathe, Wilson, Numerical methods infinite element analysis, (1976)
  • [4] Fenves, Computer methods in civil engineering, (1967)
  • [5] Householder, Theory of matrices in numerical analysis, (1964)
  • [6] Livesley, The application of an electronic digital computer to some problems of structural analysis, The Struct. Engr., 34, pp. 1-12, (1956)
  • [7] Beskos, Boley, The Gauss-Seidel convergence criterion for elastic structural stability, Mech. Res. Comm., 3, pp. 457-462, (1976)
  • [8] Young, Iterative solution of large linear systems, (1971)
  • [9] Reich, On the convergence of the classical iterative method of solving linear simultaneous equations, The Annals of Mathematical Statistics, 20, pp. 448-451, (1949)
  • [10] Blaszkowiak, Kaczkowski, Iterative methods in structural analysis, (1966)
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