[KSCI] Korea Science Citation Index Service

An Analytical Approach for Structural Synthesis of Substructures

Eun, Hee-Chang (Department of Architectural Engineering, Kangwon National University)
Park, Sang-Yeol (Department of Civil and Environmental Engineering, Cheju National University)
Lee, Eun-Taik (Department of Architectural Engineering, Chung-Ang University)

Publication Information

Journal of Mechanical Science and Technology / v.18, no.9, 2004 , pp. 1529-1536 More about this Journal

Abstract

A structure is broken down into a number of substructures by means of the finite element method and the substructures are synthesized for the complete structure. The divided substructures take two types: fixed-free and free-free elements. The flexibility and stiffness matrices of the free-free elements are the Moore-Penrose inverse of each other. Thus, it is not easy to determine the equilibrium equations of the complete structure composed of two mixed types of substructures. This study provides the general form of equilibrium equation of the entire structure through the process of assembling the equilibrium equations of substructures with end conditions of mixed types. Applications demonstrate that the proposed method is effective in the structural analysis of geometrically complicated structures.

Keywords

Substructuring; Compatibility; Equilibrium Equation; Constraint; Synthesis Method;

Citations & Related Records

Reference

1	Park, K. C., Justino, F. M. R. and Fellipa, C. A., 1997, 'An Algebraically Partitioned FETI Method for Parallel Structural Analysis: Algorithm Description,' Int. J. Numer. Meth. Engng., Vol. 40, pp.2717-2737 DOI ScienceOn
2	Felippa, C. A. and Park, K. c., 1997, 'A Direct Flexibility Method,' Camp. Meth. Appl. Mech. Engng., Vol. 149, pp. 319-337 DOI ScienceOn
3	Felippa, C. A., Park, K. C. and Justino, F. M. R., 1998, 'The Construction of Free-Free Flexibility Matrices as Generalized Stiffness Inverses,' Computers and Structures., Vol. 68, pp. 411 418 DOI ScienceOn
4	Justino, F. M. R., Park, K. C. and Felippa, C. A., 1997, 'An Algebraically Partitioned FETI Method for Parallel Structural Analysis: Implementation and Numerical Performance Evaluation,' Int. J. Numer. Meth. Engng., Vol. 40, pp.2739-2758 DOI ScienceOn
5	Farhat, C., Lacour, C. and Rixen, D., 1998, 'Incorporation of Linear Multipoint Constraints in Substructure Based Iterative Solvers. Part 1 : A Numerically Salable Algorithm,' Int. J. Numer. Meth. Engng., Vol. 43, pp.997-1016 DOI ScienceOn