The Analytical Solutions Based on the Concept of Finite Element Methods

Sui Yun-kang; Guo Tian-fu

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Sui Yun-kang, Guo Tian-fu. The Analytical Solutions Based on the Concept of Finite Element Methods[J]. Applied Mathematics and Mechanics, 1990, 11(4): 301-310.

Citation:

Sui Yun-kang, Guo Tian-fu. The Analytical Solutions Based on the Concept of Finite Element Methods[J]. Applied Mathematics and Mechanics, 1990, 11(4): 301-310.

Citation:

Sui Yun-kang, Guo Tian-fu. The Analytical Solutions Based on the Concept of Finite Element Methods[J]. Applied Mathematics and Mechanics, 1990, 11(4): 301-310.

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The Analytical Solutions Based on the Concept of Finite Element Methods

Research Inst. of Engng. Mech., Dalian University of Technology, Dalian

Received Date: 1988-09-30
Publish Date: 1990-04-15

Abstract

Abstract

On the basis of the concept of finite element methods, the rigorous analytical solutions of structural response in terms of the design variables are researched in this paper. The spatial trusses are taken as an example for the solution of the analytical expressions of the explicit displacements which are proved mathematically; then some conclusions are reached that are useful to structural sensitivity analysis and optimization. In the third part of the paper, a generalized geometric programming method is sugguested for the optimal model with the explicit displacement. Finally, the analytical solutions of the displacements of three trusses are given as examples.

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References(7)

References

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