Structural Engineering and Mechanics

  • 제4권1호
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  • Pages.25-35
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  • 1996
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Optimal cross-section and configuration design of cyclic loaded elastic-plastic structures

  • Valido, Anibal J. (Escola Superior de Tecnologia, Instituto Politecnino de Setubal Rua do Vale de Chaves) ;
  • Sousa, Luis G. (Instituto Superior Tecnico, Universidade Tecnica de Lisboa Av.) ;
  • Cardoso, J. Barradas (Instituto Superior Tecnico, Universidade Tecnica de Lisboa Av.)
  • 발행 : 1996.01.25
⟨ 이전 논문 다음 논문 ⟩

초록

This paper describes a continuum variational formulation for design optimization of nonlinear structures in the elastic-plastic domain, where unloading and reloading of the structures are allowed to occur. The Total Lagrangian procedure is used for the description of the structural deformation. The direct differentiation approach is used to derive the sensitivities of the various structural response measures with respect to the design parameters. Since the material goes into the inelastic range and unloading and reloading of the structure are allowed to occur, the structural response is path dependent and an additional step is needed to integrate the constitutive equations. It can be shown, consequently, that design sensitivity analysis is also path-dependent. The theory has been discretized by the finite element technique and implemented in a structural analysis code. Mathematical programming approach is used for the optimization process. Numerical applications on trusses are performed, where cross-sectional areas and nodal point coordinates are treated as design variables. Optimal designs have been obtained and compared by using two different strategies: a two level strategy where the levels are defined accordingly the type of design variables, cross sectional areas or node coordinates, and optimizing simultaneously with respect to both types of design variables.

키워드

참고문헌

  1. Arora, J.S. and Cardoso, J.B. (1989), "A disign sensitivity analysis principle and its implementation into ADINA", Computers and Structures, 32(3/4), 691-705. https://doi.org/10.1016/0045-7949(89)90357-X
  2. Bathe, K.J. (1982), "Finite element procedures in engineering analysis", Prentice-Hall, Englewood Cliffs.
  3. Cardoso, J.B. (1987), "Design sensitivity analysis and optimization of nonlinear structures-a unified approach", ph.D. thesis, Optimal Design Laboratory, Dept. of Civil and Environmental Engineering, The University of Iowa, USA.
  4. Cardoso, J.B. and Arora, J.S. (1988), "A variational method for design sensitivity analysis in nonlinear structural mechanics", American institute of Aeronautics and Astronautics Journal, 26(5), 595-603. https://doi.org/10.2514/3.9939
  5. Sousa, L.A. (1993), "Optimal design of elastic-plastic structures in tansient dynamics" (in Portuguese), Master Thesis, Instituto Superior Tecnico, Portugal.
  6. Tsay, J.J. (1988), "Design sensitivity analysis of nonlinear structures with history dependent effects", ph.D. thesis, Optimal Design Laboratory, Dept. of Civil and Environmental Engineering, The University of Iowa, USA.
  7. Tsay, J.J. and Arora, J.S. (1989), "Nonlinear structural design sensitivity analysis for path dependent problems. part 1: general theory", Computer Methods in Applied Mechanics and Engineering, 81, 183-208.
  8. Tsay, J.J., Cardoso, J.B. and Arora, J.S. (1989), "Nonlinear structural design sensitivity analysis for path dependent problems. part 2: analytical examples", Computer Methods in Applied Mechanics and Engineering, 81, 209-228.
  9. Valido, A.J. (1992), "Optimal design of elastic-plastic structures with cyclic loading" (in Portuguese), Master thesis, Instituto Superior Tecnico, Portugal.
  10. Vanderplaats, G.N. (1987), "ADS-A Fortran program for automated design synthesis - 2.01", EDO, Inc., St. Barbara, California.

피인용 문헌

  1. Fluid flow in casting rigging systems: Modeling, validation, and optimal design vol.29, pp.3, 1998, https://doi.org/10.1007/s11663-998-0103-1
  2. Design sensitivity and finite element analysis of free surface flows with application to optimal design of casting rigging systems vol.28, pp.3, 1998, https://doi.org/10.1002/(SICI)1097-0363(19980915)28:3<419::AID-FLD721>3.0.CO;2-4
  3. Optimal cross-section and configuration design of elastic-plastic structures subject to dynamic cyclic loading vol.13, pp.2-3, 1997, https://doi.org/10.1007/BF01199229
  4. Optimal design of elastic-plastic structures with post-critical behaviour vol.17, pp.2-3, 1999, https://doi.org/10.1007/BF01195939