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Geometric sensitivity analysis with isoparametric finite elements. (English) Zbl 0623.73081

This paper presents the development of several analytical relationships for use in the gradient calculations common to sensitivity analysis and configuration optimization. The methods discussed are oriented toward two- and three-dimensional continua modelled with isoparametric finite elements, and design parameters which control the geometric layout of the structure. The notable feature of these formulae is their simplicity, which leads to quick and systematic computational algorithms for most standard elements.

MSC:

74S05 Finite element methods applied to problems in solid mechanics
74P99 Optimization problems in solid mechanics
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[1] and , ’Minimum weight design of structures by the optimality criterion and projection methods’, Proc. 20th AIAA/ASME/ASCE/AHS Structures, Structural Dynamics, and Materials Conf., S. t. Louis, Mo. (1979).
[2] Kirsch, Proc. A.S.C.E., J. Struct. Div. 101 (1975)
[3] Haftka, Comp. Struct. 10 pp 323– (1979)
[4] Kirsch, Proc. A.S.C.E., J. Struct. Div. 98 pp 249– (1972)
[5] and . ’Shape optimization and sequential linear programming’, In Optimum Structural Design ( and , Eds). Wiley, New York, 1973.
[6] Ramakrishnan, J. Struct. Mech. 3 pp 403– (1974)
[7] Smith, Eng. Optim. 1 pp 79– (1974)
[8] Kirsch, Comp. Struct. 16 pp 269– (1983)
[9] Wang, Comp. Struct. 20 pp 855– (1985)
[10] and , ’A general capability of design sensitivity for finite element systems’, Proc. 23rd AIAA/ASME/ASCE/AHS Structures, Structural Dynamics, and Materials Conference (1982).
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