Sensitivity analysis for non-linear elastic structures in regular and critical states is รฟrst discussed including design parameters and initial imperfections. Next, the optimal design problem is formulated by considering imperfect structures and setting constraints on de ections and stresses. For st
A reduced SAND method for optimal design of non-linear structures
โ Scribed by Carlos E. Orozco; Omar N. Ghattas
- Publisher
- John Wiley and Sons
- Year
- 1997
- Tongue
- English
- Weight
- 426 KB
- Volume
- 40
- Category
- Article
- ISSN
- 0029-5981
No coin nor oath required. For personal study only.
โฆ Synopsis
An SQP-based reduced Hessian method for simultaneous analysis and design (SAND) of non-linearly behaving structures is presented and compared with conventional nested analysis and design (NAND) methods. It is shown that it is possible to decompose the SAND formulation to take advantage of the particular structure of the problem at hand. The resulting reduced SAND method is of the same size as the conventional NAND method but it is computationally more efficient. The presentation here builds on previous research on SAND methods generalizing the solution approach to cases with both equality and inequality constraints. The new version of the reduced SAND method is tested in the context of weight minimization of 3-D truss structures with geometrically non-linear behaviour.
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