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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 106
PROCEEDINGS OF THE TWELFTH INTERNATIONAL CONFERENCE ON COMPUTATIONAL STRUCTURES TECHNOLOGY
Edited by:
Paper 209

Free-form Optimization of Shell Structure subject to Stress Constraints

M. Shimoda1 and M. Yonekura2

1Department of Advanced Science and Technology, Toyota Technological Institute, Nagoya, Japan
2Graduate School of Toyota Technological Institute, Nagoya, Japan

Full Bibliographic Reference for this paper
M. Shimoda, M. Yonekura, "Free-form Optimization of Shell Structure subject to Stress Constraints", in , (Editors), "Proceedings of the Twelfth International Conference on Computational Structures Technology", Civil-Comp Press, Stirlingshire, UK, Paper 209, 2014. doi:10.4203/ccp.106.209
Keywords: optimum design, shape optimization, shell, free-form, lightweight, strength design, H-one gradient method, stress constraint..

Summary
In this paper, a node-based, or a non-parametric solution to the shape optimization problem, is presented, for designing lightweight shell structures with an arbitrary form subject to a strength criterion. The shell is assumed to be freely varied in the out-of-plane direction to the surface. The volume is minimized subjected to the von Mises stress constraint. The local constraint condition of von Mises stress is transformed into the global integral functional for the non-parametric formulation of the strength design problem. The shape sensitivity function and the optimality conditions theoretically derived are applied to the H-one gradient method for shells to obtain the optimal free-form with smoothness. Through design examples it is demonstrated how the proposed solution is effective for the lightweight design of shell structures subject to the stress constraint.

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