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A first-order equivalent static loads algorithm for optimization of nonlinear static response
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DOI：10.1016/j.advengsoft.2023.103462.png)
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Abstract
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The Equivalent Static Loads (ESL) algorithm for nonlinear static response structural optimization is modified to promote convergence to designs satisfying first-order optimality conditions. The modifications involve first -order estimates of the equivalent static loads considered in the sub-problems and algorithmic stabilization through a trust-region approach. The practical convergence properties of the original and modified algorithms are assessed through numerical experiments on a set of reproducible structural size optimization problems. The results demonstrate the capabilities of the proposed algorithm in finding optimized designs that satisfy first-order optimality conditions numerically with modest computational resources.
Keywords:
Structural optimization
Sensitivity analysis
Equivalent static load
Nonlinear response
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