New approximate-iterative technique in shape optimization of continuum structures
✍ Scribed by R.A. Naqib; A. Zureick; K.M. Will
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 677 KB
- Volume
- 51
- Category
- Article
- ISSN
- 0045-7949
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✦ Synopsis
Al~aet--An efficient technique that examines the optimum shape of elastic continuum structures is prc~nted. The total number of stiffness matrix inversions required to obtain the optimal shape was significantly reduced as a result of using a newly developed iterative and approximate algorithm. The new technique is capable of approximating both displacements and stresses, and allows the user to have control over the degree of approximation. The efficiency of the proposed itcrative approach was verified through various numerical examples and proved to be a viable alternative to the direct approach (which requires matrix inversion), ¢spcclally in large-scale problems. The proposed approach is not limited, however, to shape optimization, but can be applied to other branches of structural optimization.