2D shape optimization with static and dynamic constraints

Dems, K.; Gutkowski, W.

doi:10.1007/bf01203532

Cited by 5 publications

(1 citation statement)

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“…During a shape optimization process, geometry of the structure may undergo substantial changes, such that it can no longer be considered as a viable structure, e.g. geometric model may become unfeasible [17,9], stresses may exceed the [17,9,4,15], natural frequency may be lower than a certain limit [4], displacements may be too large [4,15]. In these cases, a robust optimization method should be used.…”

Section: -Introductionmentioning

confidence: 99%

Structural Shape Optimization Using an Adaptive Simulated Annealing

Alem

Hami

Ellaia

2010

KEM

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In structural design optimization, numerical techniques are increasingly used. In typical structural optimization problems there may be many locally minimum configurations. For that reason, the application of a global method, which may escape from the locally minimum points, remain essential. In this paper, a new hybrid simulated annealing algorithm for global optimization with constraints is proposed. We have developed a new algorithm called Adaptive Simulated Annealing algorithm (ASA); ASA is a series of modifications done to the Basic Simulated Annealing algorithm ( BSA) that gives the region containing the global solution of an objective function. In addition, the stochastic method Simultaneous Perturbation Stochastic Approximation (SPSA), for solving unconstrained optimization problems, is used to refine the solution. We also propose Penalty SPSA (PSPSA) for solving constrained optimization problems. The constraints are handled using exterior point penalty functions. The proposed method is applicable for any problem where the topology of the structure is not fixed, it is simple and capable of handling problems subject to any number of nonlinear constraints. Extensive tests on the ASA as a global optimization method are presented, its performance as a viable optimization method is demonstrated by applying it first to a series of benchmark functions with 2 - 30 dimensions and then it is used in structural design to demonstrate its applicability and efficiency. It is found that the best results are obtained by ASA compared to those provided by the commercial software ANSYS.

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