リンク機構の多領域設計最適化法に関する研究

概要

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Optimal design of a link mechanism determines configuration and geometry of intermediate connectors so as that minimize the driver's capacity, system cost and so forth under the assigned follower's motion. Since its mathematical formulation is obviously multidisciplinary and mini-max type under time-dependence of link motion, any conventional optimization techniques have difficulties to seek the optimal design solution. This paper proposes an efficient design optimization algorithm for the multidisciplinary design optimization of link mechanisms by combining non-hierarchic coupled system decomposition, which consists of the iteration of partial optimization of divided subproblems and coordination of such partial solutions, and mini-max relaxation. Further, successive quadratic programming (SQP) is utilized as a mathematical programming technique by inheriting Hessian approximation of the Lagrangian function across its iterative executions. Its application to the multidisciplinary design problem of a link mechanism used in hydraulic shovels, which is modeled and formulated based on skeleton based kinematic analysis and beam-theory based strength analysis, shows more than about four times of speed-up and robust performance as compared with a conventional optimization method.
一般社団法人日本機械学会の論文
2001-07-25