Shape optimization for a link mechanism
抄録
This paper presents a numerical solution for shape optimization problems for link mechanisms, such as a piston-crank mechanism. The dynamic behavior of a link mechanism is described by a differential-algebraic equation (DAE) system consisting of motion equations for each single body and constraints of linkages and rigid motions. In a shape optimization problem, the objective function to maximize is constructed from the external work done by a given external force, which agrees with the kinetic energy of the link mechanism, for an assigned time interval, and the total volume of all the links forms the constraint function. The Fréchet derivatives of these cost functions with respect to the domain variation, which we call the shape derivatives of these cost functions, are evaluated theoretically. A scheme to solve the shape optimization problem is presented using the H 1 gradient method (the traction method) proposed by the authors as a reshaping algorithm, since it retains the smoothness of the boundary. A numerical example shows that reasonable shapes for each link such that mobility of the link mechanism is improved are obtained by this approach.
This paper was presented at CJK-OSM 7, 18–21 June 2012, Huangshan, China.
収録刊行物
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- Structural and Multidisciplinary Optimization
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Structural and Multidisciplinary Optimization 48 (1), 115-125, 2013-07
Springer
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詳細情報 詳細情報について
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- CRID
- 1050564288756920192
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- NII論文ID
- 120005527821
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- ISSN
- 16151488
- 1615147X
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- HANDLE
- 2237/21125
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- 本文言語コード
- en
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- 資料種別
- journal article
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