Abstract
The semi-analytical method is conveniently used to obtain design sensitivities. However, it may have serious accuracy problems in shape design. In this study, an improved semianalytical method is presented for the accurate computation of shape design sensitivities. The method is based on approximating the flexibility matrix by means of von Neumann series. In numerical examples, two cases for which the standard semianalytical method fails are considered. It is demonstrated that the sensitivities can be obtained very accurately by the improved method proposed.
References
Barthelemy, B.; Haftka, R.T. 1988: Accuracy of the semianalytical method for shape sensitivity calculation.Proc. AIAA/ASMA/ASCE/ASC 29th Structures Structural Dynamics and Materials Conf. Part 1, pp. 562–581
Cheng, G.; Gu, Y.; Wang, X. 1990: Improvement of semi-analytic sensitivity analysis and MCADS. In: Eschenauer, H.A.; Mattheck, C.; Olhoff, N. (eds.)Proc. Int. Conf. Eng. Optim. in Design Processes, pp. 211–223. Berlin, Heidelberg, New York: Springer
Cheng, G.; Olhoff, N. 1991: New method of error analysis and detection in semi-analytical sensitivity analysis. In: Rozvany, G.I.N. (ed.)Optimization of large structural systems (Proc. NATO/DFG ASI held in Berchtesgaden, Germany, 1991), pp. 361–383. Dordrecht: Kluwer
Hörnlein, H.R.E.M. 1992: Strukturoptimierung — semianalytische Sensitivitätsanalyse. Computerunterstützte Strukturoptimierung—COMETT Seminar, Bayreuth
Mlejnek, H.P. 1992: Accuracy of semi-analytical sensitivities and its improvement by the natural method.Struct. Optim. 4, 128–131
Olhoff, N.; Rasmussen, J. 1990: Method of error elimination for a class of semi-analytical sensitivity analysis problems. In: Eschenauer, H.A.; Mattheck, C.; Olhoff, N. (eds.)Proc. Int. Conf. Eng. Optim. in Design Processes, pp. 193–200. Berlin, Heidelberg, New York: Springer
Olhoff, N.; Rasmussen, J. 1991: Study of inaccuracy in semianalytical sensitivity analysis — a model problem.Struct. Optim. 3, 203–213
Yamazaki, K.; Vanderplaats, G.N. 1993: Design sensitivity analysis with isoparametric shell elements.Struct. Optim. 5, 152–158
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Oral, S. An improved semianalytical method for sensitivity analysis. Structural Optimization 11, 67–69 (1996). https://doi.org/10.1007/BF01279659
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DOI: https://doi.org/10.1007/BF01279659