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2023-01-16T04:06:30Z
312:313:314
Shape optimization for a link mechanism
Azegami, Hideyuki
55541
Zhou, Liren
55542
Umemura, Kimihiro
55543
Kondo, Naoya
55544
Shape optimization
Multibody system
Differential-algebraic equation (DAE)
Shape derivative
H1 gradient method
Traction method
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.
journal article
Springer
2013-07
application/pdf
Structural and Multidisciplinary Optimization
1
48
115
125
http://dx.doi.org/10.1007/s00158-013-0886-9
http://hdl.handle.net/2237/21125
1615-147X
https://nagoya.repo.nii.ac.jp/record/19037/files/15_2012_Zhou.pdf
eng
https://doi.org/10.1007/s00158-013-0886-9
The final publication is available at Springer via http://dx.doi.org/10.1007/s00158-013-0886-9