Abstract
Structural optimization using finite element techniques requires the sequential use of structural and sensitivity analyses combined with a numerical optimizer. The success of the structural optimization process depends on the proper choices with respect to the finite element model, sensitivity analysis, objective function, constraints, design variables and method of solution of the nonlinear mathematical problem.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Barbosa, J. I., 1990, “Analytical Sensitivities for Axisymmetric Shells Using Symbolic Manipulator MATHEMATICA”, CEMUL Report, July 1990.
Barthelemy, B., Chon, C. T. and Haftka, R. T., 1988, “Accuracy Problems Associated with Semi-Analytical Derivatives of Static Response”, Journal of Finite Elements in Analysis and Design, Vol. 4, pp. 249–265.
Chenais, D., 1987, “Shape Optimization in Shell Theory: Design Sensitivity of the Continuous Problem”, Eng. Opt, 11, pp. 289–303.
Desai, C. S. and Abel, J. F., 1972, Introduction To The Finite Element Method, A Numerical Method For Engineering Analysis. Van Nostrand Reinhold Company, New York.
Gendong, C. and Yingwei, L., 1987, “A New Computation Scheme for Sensitivity Analysis”, Eng. Opt., Vol. 12, pp. 219–234.
Haftka, R. T. and Kaurat, M. P., 1987, “Finite Elements in Structural Design”, Computer Aided Optimal Design: Structural and Mechanical Systems (Ed. Mota Soares, C. A.), Springer-Verlag, pp. 241–270, Berlin.
Kraus, H., 1967, Thin Elastic Shells, John Wiley & Sons, Inc., New York
Marcelin, J. L. and Trompette Ph., 1988, “Optimal Shape Design of Thin Axisymmetric Shells”, Eng. Opt., Vol. 13, pp. 108–117.
Mehrei, S. and Rousselet, B., 1989, “Analysis and Optimization of a Shell of Revolution”, Computer Aided Optimum Design of Structures: Applications. Ed. C. A. Brebbia and S. Hernandez, Computational Mechanics Publications, Springer-Verlag, pp. 123–133.
Plant, R. H., Johnson, L. W. and Parbery, R., 1984, “Optimal Form of Shallow Shells with Circular Boundary”, Transactions of the ASME, Vol. 51, pp. 526–538.
Thambiratnam, D. P., Thevendran, V. and Lee, S. L., 1989, “Computer Aided Optimum Design of Structures for Vibration Isolation”, Computer Aided Optimum Design of Structures: Recent Advances, (Ed. C. A. Brebbia and S. Hernandez), Computational Mechanics Publications, Springer-Verlag, pp. 49–59. U. K.
Vanderplaats, G. N., 1984, Numerical Optimization Techniques for Engineering Design, McGraw-Hill, New York.
Wolfram, S., 1988, MATHEMATICA - A System for Doing Mathematics by Computer, Addison - Wesley Publishing Company, Inc.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1992 Springer-Verlag Wien
About this chapter
Cite this chapter
Soares, C.A.M., Barbosa, J.I., Soares, C.M.M. (1992). Shape Optimal Design of Axisymmetric Shell Structures. In: Rozvany, G.I.N. (eds) Shape and Layout Optimization of Structural Systems and Optimality Criteria Methods. International Centre for Mechanical Sciences, vol 325. Springer, Vienna. https://doi.org/10.1007/978-3-7091-2788-9_15
Download citation
DOI: https://doi.org/10.1007/978-3-7091-2788-9_15
Publisher Name: Springer, Vienna
Print ISBN: 978-3-211-82363-7
Online ISBN: 978-3-7091-2788-9
eBook Packages: Springer Book Archive