The external boundary of a structure described by a set of design parameters undergoes shape modification. Arbitrary stress, strain and displacement functionals are defined within the domain of the structure and its first- and second-order sensitivities with respect to varying structural shape are discussed. The optimal shape design problem is then formulated and solved using the first- and second-order sensitivity information. The iterative analysis-redesign algorithm is formulated using the finite element method. Some illustrative examples are included.
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Korycki, R. Multiparametric shape optimal design of disks. Structural Optimization 9, 25–32 (1995). https://doi.org/10.1007/BF01742641
- Finite Element Method
- Civil Engineer
- Optimal Design
- Design Parameter
- Design Problem