한국공작기계학회:학술대회논문집 (Proceedings of the Korean Society of Machine Tool Engineers Conference)
- 한국공작기계학회 1999년도 춘계학술대회 논문집
- /
- Pages.141-146
- /
- 1999
비선형 구조물에 대한 이동 점근법(MMA)의 적용
Application of Method of Moving Asymptotes for Non-Linear Structures
초록
A new method, so called MMA(Method of Moving Asymptotes) was applied to the optimization problems of non-linear functions and non-linear structures. In each step of the iterative process, tile MMA generates a strictly convex approximation subproblems and solves them by using the dual problems. The generation of these subproblems is controlled by so called 'moving asymptotes', which may both make no oscillation and speed up tile convergence rate of optimization process. By contrast in generalized dual function, the generated function by MMA is always explicit type. Both the objective and behaviour constraints which were approximated are optimized by dual function. As the results of some examples, it was found that this method is very effective to obtain the global solution for problems with many local solutions. Also it was found that MMA is a very effective approximate method using the original function and its 1st derivatives.