Browse > Article

The Proposition of Efficient Nonlinear Solution Technique for Space Truss  

석창목 (경북대 건축학부)
권영환 (경북대 건축학부)
Publication Information
Journal of the Computational Structural Engineering Institute of Korea / v.15, no.3, 2002 , pp. 481-490 More about this Journal
Abstract
The purpose of this paper is to evaluate the efficiency of various solution techniques and propose new efficient solution techniques for space trusses. Solution techniques used in this study are three load control methods (Newton-Raphson Method, modified Newton-Raphson Method, Secant-Newton Method), two load-displacement control methods(Arc-length Method, Work Increment Control Method) and three combined load-displacement control methods(Combined Arc-length Method I , Combined Arc-length MethodⅡ, Combined Work Increment Control Method). To evaluate the efficiency of these solution techniques, we must examine accuracy of their solutions, convergences and computing times of numerical examples. The combined load-displacement control methods are the most efficient in the geometric nonlinear solution techniques and in tracing post-buckling behavior of space truss. The combined work increment control method is the most efficient in tracing the buckling load of spate trusses with high degrees of freedom.
Keywords
space truss; nonlinear analysis; combined load-displacement control method;
Citations & Related Records
연도 인용수 순위
  • Reference
1 Crisfield, M. A., Non-linear finite element analysis of solids and structures, Vol.1, John Wiley & Sons, 1991, pp.345
2 Mattiasson, K., On the Corotational finite element formulation for large deformation problems, Ph.D. Dissertation, Chalmers University of Technology, 1983
3 Crisfield, M. A., 'Incremental/iterative solution procedures for nonlinear structural analysis', Numerical Method for Nonlinear Problem, 1980, pp.261-285
4 Broyden, C. G., 'The convergence of a doublerank minimization 2 : the new algorithm', J. Inst. Math. Appl., Vol. 6, 1970, pp.222-231   DOI
5 Wang, C. K., Intermediate Structural Analysis 2nd, Mcgraw-Hill, 1983
6 Papadrakakis, M., 'Post-buckling analysis of spatial structures by vector iteration method', Computer & Structures, Vol. 14, No. 5-6, 1981, pp.393-402   DOI   ScienceOn
7 Leu, L. J., Yang, Y. B., 'Effects of rigid body and stretching on Nonlinear analysis of truss', Journal of Structural Engineering, Vol. 106, No. 10, 1990
8 Hill, C. D., Blandford, G. E., Wang, S. T. 'Post-bucking analysis of steel space trusses', , Vol. 115, No. 4, 1989, pp.900-911   DOI
9 Yang, Y. B., Theory & Analysis of Nonlinear Framed Structures, Prentice-Hall, 1994. p.579
10 Crisfield. M. A., 'An Arc-length method including line searches and acceleration, International Journal For Numerical Methods In Engineering, Vol. 19, 1983, pp.1269-1289   DOI   ScienceOn
11 Chen, H., 'Work increment control method for Nonlinear analysis', International Journal for Numerical Methods in Engineering, Vol. 36, 1993, pp.909-930   DOI   ScienceOn
12 Bathe, K. J., Finite element procedures chap.6, Prentice-Hall international edition, 1996, pp.1037
13 Papadrakakis, M., 'Inelastic Post-buckling analysis of trusses', Journal of the Structural Division, Vol. 109, No. 9, 1983, pp.2129-2147   DOI   ScienceOn