Structural Engineering and Mechanics

  • 제2권2호
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  • Pages.185-196
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  • 1994
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
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Spline function solution for the ultimate strength of member structures

  • Zhang, Qi-Lin (College of Structural Engineering, Tongji University) ;
  • Shen, Zu-Yan (College of Structural Engineering, Tongji University)
  • 발행 : 1994.06.25
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초록

In this paper a spline function solution for the ultimate strength of steel members and member structures is derived based on total Lagrangian formulation. The displacements of members along longitudinal and transverse directions are interpolated by one-order B spline functions and three-order hybrid spline functions respectively. Equilibrium equations are established according to the principle of virtual work. All initial imperfections of members and effects of loading, unloading and reloading of material are taken into account. The influence of the instability of members on structural behavior can be included in analyses. Numerical examples show that the method of this paper can satisfactorily analyze the elasto-plastic large deflection problems of planar steel member and member structures.

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참고문헌

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  3. Ding, J.M. and Shen, Z.Y. (1991), "Interaction between overall and local instability of steel frames", Proc. 3rd East Asia-Pacific Conference on Structural Engineering and Construction, Shanghai, April. 2, 1181-1187.
  4. Liu, S.R. (1990), Spline Function and Structural Mechanics, The People's Transportation Publisher, China (in Chinese).
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  9. Zhang, Q.L. (1991), "Incremental finite element solution for nonlinear problems of space trusses", Journal of Constructional Steel Research, 29, 89-104.