The method of moving asymptotes—a new method for structural optimization

International Journal for Numerical Methods in Engineering - Tập 24 Số 2 - Trang 359-373 - 1987
Krister Svanberg1
1Optimization and Systems Theory, Royal Institute of Technology, S-10044 Stockholm, Sweden

Tóm tắt

Abstract

A new method for non‐linear programming in general and structural optimization in particular is presented. In each step of the iterative process, a strictly convex approximating subproblem is generated and solved. The generation of these subproblems is controlled by so called ‘moving asymptotes’, which may both stabilize and speed up the convergence of the general process.

Từ khóa


Tài liệu tham khảo

Schmit L. A., 1974, Some approximation concepts for structural synthesis, A I A A Journal, 12, 692

C.FleuryandV.Braibant ‘Structural optimization. A new dual method using mixed variables’ L T A S Report S A‐115 University of Liege 1984.

10.1007/978-94-009-8603-9_30

10.1002/nme.1620141203

10.1007/BFb0121230