1108 Direct Search Method Based on Subset Selection by Expected Improvement for Problems with Nonsmooth Dynamic Response
Bibliographic Information
- Other Title
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- 1108 非平滑な動的応答を有する設計問題のための期待改良値による部分集合選択に基づく直接探索法(振動・動的応答)
- 非平滑な動的応答を有する設計問題のための期待改良値による部分集合選択に基づく直接探索法
- ヒヘイカツ ナ ドウテキ オウトウ オ ユウスル セッケイ モンダイ ノ タメ ノ キタイ カイリョウチ ニ ヨル ブブン シュウゴウ センタク ニ モトズク チョクセツ タンサクホウ
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Abstract
In structural design, nonsmooth and noisy responses are frequently encountered, e.g. for dynamic problems. It is well known, that for optimization of systems with nonsmooth and noisy responses, conventional derivative-based methods might not converge. On the contrary, the directional Direct Search Method (DSM), which is a derivative-free method, is a promising candidate providing global convergence even in nonsmooth optimization. DSM combines so-called poll steps, ensuring convergence, and search steps, improving efficiency. However, some derivatives may be smooth and easily available, i.e. inexpensive to calculate. Clearly, derivative-free methods ignore this valuable information, rendering them inefficient. To remedy this, we attempt a practical compromise between derivative-based and derivative-free methods by enhancing the DSM. The main ingredients of the proposed augmented DSM are: (i) a tangent cone which is identified efficiently by using derivatives of some, but not all, response functions, (ii) randomly generated poll directions in a tangent cone, (iii) Search steps facilitating a large flexibility, particularly for Kriging model with subset selection. The efficiency and robustness of the method is studied on a seismic design problem of a 10-story building model. The studied problem confirms the efficiency and robustness of the proposed method.
Journal
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- Proceedings of the Optimization Symposium
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Proceedings of the Optimization Symposium 2012.10 (0), _1108-1_-_1108-6_, 2012
The Japan Society of Mechanical Engineers