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Shape Optimization of Thermoelastic Fields for Stiffness Maximization

[+] Author Affiliations
Eiji Katamine, Hiroki Yoshioka

Gifu National College of Technology, Motosu, Gifu, Japan

Hideyuki Azegami

Nagoya University, Nagoya, Aichi, Japan

Paper No. DETC2012-70194, pp. 853-860; 8 pages
doi:10.1115/DETC2012-70194
From:
  • ASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
  • Volume 2: 32nd Computers and Information in Engineering Conference, Parts A and B
  • Chicago, Illinois, USA, August 12–15, 2012
  • Conference Sponsors: Design Engineering Division, Computers and Information in Engineering Division
  • ISBN: 978-0-7918-4501-1
  • Copyright © 2012 by ASME

abstract

This paper presents a numerical analysis method for shape optimization in order to achieve stiffness maximization in thermoelastic fields. Mean compliance is used as an objective functional for the shape optimization problem. The mean compliance minimization problem in the thermoelastic fields is formulated on volume constraint condition. The shape gradient of the shape optimization problems is derived theoretically using the adjoint variable method, the Lagrange multiplier method and the formulae of the material derivative. Reshaping is accomplished using a traction method that was proposed as a solution to shape optimization problems. In addition, a new numerical procedure for the shape optimization is proposed. The validity of the proposed method is confirmed based on the results of 2D numerical analysis.

Copyright © 2012 by ASME

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