Two‐dimensional shape optimal design | Zendy

Chun Y. W. | Zendy; Haug E. J. | Zendy

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Two‐dimensional shape optimal design

Author(s) -

Chun Y. W.,

Haug E. J.

Publication year - 1978

Publication title -

international journal for numerical methods in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.421

H-Index - 168

eISSN - 1097-0207

pISSN - 0029-5981

DOI - 10.1002/nme.1620130208

Subject(s) - shape optimization , optimal design , projectile , constraint (computer aided design) , descent (aeronautics) , mathematics , calculus of variations , sensitivity (control systems) , mathematical optimization , algorithm , structural engineering , mathematical analysis , geometry , engineering , finite element method , physics , aerospace engineering , statistics , quantum mechanics , electronic engineering

This paper treats shape optimal design of two‐dimensional structures. Sensitivity of cost and constraint functions to changes in the shape of the structure are obtained by applying theorems from the calculus of variations and by using consistent first‐order approximations of functions arising in an optimal design problem. A generalized steepest descent algorithm is presented for determination of the optimum shape. The method is applied to a load carrying shear plate that models a component of the high pressure seal in a gun launched high velocity projectile.

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