Shape Design Sensitivity Analysis of Elastic Structures
- 1 January 1983
- journal article
- research article
- Published by Taylor & Francis in Journal of Structural Mechanics
- Vol. 11 (2) , 231-269
- https://doi.org/10.1080/03601218308907443
Abstract
Design problems in which the shape of two- or three-dimensional elastic bodies plays the role of design are studied. Five prototype problems are formulated in a unified variational form, with performance measures involving natural frequency, displacement, and stress in the structure. The material derivative of continuum mechanics and an adjoint variable method of design sensitivity analysis are used to develop an explicit formula for variation of performance measures in terms of normal movement of the boundary of the physical domain. Examples are presented for beams, membranes, shafts, and three-dimensional elastic solids.Keywords
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