Free-form optimization of a frame structure for strength maximization
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- WU Zhiqiang
- Department of Mechanical Engineering, Ehime University
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- SHIMODA Masatoshi
- Department of Advanced Science and Technology, Toyota Technological Institute
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- HISATOMI Kei
- Department of Advanced Science and Technology, Toyota Technological Institute
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- SHI Jin-Xing
- Department of Advanced Science and Technology, Toyota Technological Institute
Abstract
<p>In this paper, we present a parameter-free free-form optimization method for the strength design problem of a frame structure. The maximum von Mises stress is minimized under a given volume constraint. The strength design problems are formulated as distributed-parameter optimization problems under the assumptions that each member is varied in the off-axis direction to the centroidal-axis and the cross section is not varied with respect to the iteration process. The issue of non-differentiability inherent in this min-max problem is avoided by transforming the singular local measure to a smooth differentiable integral functional by using the Kreisselmeier-Steinhauser function. The shape gradient functions and optimality conditions theoretically derived are applied to the free-form optimization method for frames. With this method, the smooth optimal free-form of a frame structure is determined without any shape design parameterization, while minimizing the objective functional. Design examples are presented to demonstrate the validity of this free-form optimization method for strength design problems of a frame structure.</p>
Journal
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- Mechanical Engineering Journal
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Mechanical Engineering Journal 4 (2), 17-00014-17-00014, 2017
The Japan Society of Mechanical Engineers
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Keywords
Details 詳細情報について
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- CRID
- 1390282680493136512
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- NII Article ID
- 130006943675
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- ISSN
- 21879745
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- Text Lang
- en
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- Data Source
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- JaLC
- Crossref
- CiNii Articles
- KAKEN
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- Abstract License Flag
- Disallowed