Optimal Design Using a Two-Level Monotonicity-Based Decomposition Method
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Abstract
Abstract In this paper, a two-level decomposition method for optimal design is described. Using this method, an optimal design problem is decomposed into several subproblems in the first-level and a coordinating problem in the second-level. In the first-level, the subproblems are analyzed using the global monotonicity concepts, then in the second-level the analyses of the subproblems are coordinated to obtain the optimal solution. Two engineering design examples, namely a gear reducer (formulated and solved in the literature) and a flywheel (formulated and solved here), illustrate applications of the developed method.