Shape optimal design using fictitious loads

Subramaniam Rajan, A. D. Belegundu

Research output: Contribution to journalArticle

37 Scopus citations


Implementation aspects of the natural velocity field approach for shape optimal design are discussed. The problem of concern is to find the optimum shape of an elastic body that requires minimizing an objective function subject to stress, displacement, frequency, and manufacturing constraints. In this paper, fictitious loads are applied to certain control nodes on an auxiliary structure, and the deformation produced by these loads is used to update the shape. The use of beam stiffeners in the auxiliary structure leads to smoother shapes. Furthermore, softer material properties in the auxiliary structure result in faster convergence when iterating through the feasible region. The method is applied to conjunction with both discrete and continuum methods of design sensitivity analysis.

Original languageEnglish (US)
Pages (from-to)102-107
Number of pages6
JournalAIAA Journal
Issue number1
Publication statusPublished - Jan 1989


ASJC Scopus subject areas

  • Aerospace Engineering

Cite this

Rajan, S., & Belegundu, A. D. (1989). Shape optimal design using fictitious loads. AIAA Journal, 27(1), 102-107.