Abstract
In this paper, a new efficient sensitivity analysis procedure is presented for the optimization of shell structures without access to the finite element source code. It is devised as a general interface tool to extend existing finite element systems from pure structural analysis to design capability. The implementation is performed based on the ABAQUS code. Kirchhoff flat shell elements are taken into account in the study with the element thickness as design variables. To ensure the performance and the validity of the proposed procedure, satisfactory sensitivity and optimization results are illustrated for numerical examples.
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Barthelemy, J.-F.M.; Hall, L.E. 1995: Automatic differentiation as a tool in engineering design.Struct. Optim. 9, 76–82
Barthelemy, B.; Chon, C.T.; Haftka, R.T. 1988: Accuracy problems associated with semi-analytical derivatives of static response.Finite Elements in Analysis & Design 4, 249–265
Bendsøe, M.P.; Diaz, A.R. 1993: Optimization of material properties for Mindlin plate design.Struct. Optim. 6, 268–270
Grandhi, R.V.; Bharatram, G. 1992: Optimum design of plate structures with multiple frequency constraints.Struct. Optim. 5, 100–107
Haftka, R.T.; Prasad, B. 1981: Optimal structural design with plate bending elements—A survey.AIAA J. 19, 517–522
Hibbit, Karlsson & Sorensen, Inc. 1997: Abaqus/Standard user's manuel, version 5.7
Leal, R.P.; Mota Soares, C.A. 1989: Mixed elements in the optimal design of plates.Struct. Optim. 1, 127–136
Santos, J.L.T.; Choi, K.K. 1988: Sizing design sensitivity analysis of non-linear structural systems. Part II: Numerical method.Int. J. Numer. Meth. Engng. 26, 2097–2114
Vanderplaats, G.N.; Thomas, H.L. 1993: An improved approximation for stress constraints in plate structures.Struct. Optim. 6, 1–6
Yamazaki, K.; Vanderplaats, N. 1993: Design sensitivity analysis with isoparametric shell elements.Struct. Optim. 5, 152–158
Yu, H.R.; Liang, B.; Li, L. 1991: Optimal design of cylindrical shells.Struct. Optim. 3, 252–256
Zhang, W.H.; Domaszewski, M.; Bassir, H. 1998: Developments of sizing sensitivity analysis with ABAQUS code.Struct. Optim. (to appear)
Zienkiewicz, O.C.; Taylor, R.L. 1991:The finite element method, 4-th Edition. McGraw-Hill
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Zhang, W.H., Domaszewski, M. Efficient sensitivity analysis and optimization of shell structures by the ABAQUS code. Structural Optimization 18, 173–182 (1999). https://doi.org/10.1007/BF01195992
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DOI: https://doi.org/10.1007/BF01195992