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Structural modelling and sensitivity analysis of shape optimization

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Abstract

It is presented in this paper that the structural modelling of shape optimization is composed of, in general cases, four distinct processes on geometry, design, analysis and perturbation models. The relationships between these models are discussed. An integrated modelling approach based on geometric shape parameterization and automatic mesh generation is proposed. In cooperation with this modelling approach, the semi-analytic sensitivity analysis has been effectively employed. These techniques join shape optimization with FEM and CAD packages and apply it versatilely to optimum designs of general structures. The implementation and applications of the integrated modelling approach and semi-analytic sensitivity analysis to shape optimization of structures with coupling of stress and temperature fields are illustrated.

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References

  • Barthelemy, B.; Haftka, R. 1988: Accuracy analysis of the semi-analytical method for shape sensitivity calculation.Proc. AIAA/ASME/ASCE/AHS/ASC 29th SSDM Conf. (held in Williamsburg, VA), Part 1, 562–581

  • Bennett, J.A.; Botkin, M.E. (eds.) 1986:The optimum shape, automated structural design. New York: Plenum Press

    Google Scholar 

  • Cheng, G.; Liu, Y. 1987: A new computation scheme for sensitivity analysis.J. Eng. Opt. 12, 219–234

    Google Scholar 

  • Cheng, G.; Gu, Y.; Zhou, Y. 1989: Accuracy of semi-analytic sensitivity analysis.J. Finite Elements in Analysis and Design 6, 113–128

    Google Scholar 

  • Cheng, G.; Gu, Y.; Wang, X. 1990: Improvement of semi-analytic sensitivity analysis and MCADS. In: Eschenauer, H; Mattheck, C.; Olhoff, N.Engineering optimization in design processes, pp. 211–224. Berlin, Heidelberg, New York: Springer

    Google Scholar 

  • Cheng, G.; Olhoff, N. 1992: New method of error analysis and detection in semi-analytical sensitivity analysis. In: Rozvany, G.I.N (ed.) “Optimization of large structural systems”, pp. 361–384. Dordrecht: Kluwer

    Google Scholar 

  • Gu, Y.; Cheng, G. 1987: Integration of FEM, optimization and CAD on microcomputers. In: Pande, G.; Middleton J. (eds.)Numerical techniques for engineering analysis and design. Dordrecht: Martinus Nijhoff

    Google Scholar 

  • Gu, Y.; Cheng, G. 1990: Structural shape optimization integrated with CAD environment.Struct. Optim. 2, 23–28

    Google Scholar 

  • Gu, Y.; Gheng, G. 1991: MCADS and shape optimization of thermo-stressed continuum structures. In: Hernandez, S.; Brebbia, C.A. (eds.)Design optimization of structural systems and industrial applications, pp. 667–678. Southampton: Computational Mechanics Publications

    Google Scholar 

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Gu, Y., Cheng, G. Structural modelling and sensitivity analysis of shape optimization. Structural Optimization 6, 29–37 (1993). https://doi.org/10.1007/BF01743172

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  • DOI: https://doi.org/10.1007/BF01743172

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