2208 フレーム構造の信頼性に基づくトポロジー最適化 : 断面積を確率変数とした場合(OS11 システム最適化,未来社会を支えるものづくりとひとづくり(設計・システムから))

概要

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Topology optimization methods using discrete elements such as frame elements can provide useful insights into the underlying mechanics principles of products, however the majority of such optimizations are performed under deterministic conditions. In order to avoid performance reductions due to later-stage environmental changes, variations of several design parameters are considered during the topology optimization. The authors have proposed a reliability-based topology optimization method for frame structures to consider uncertainties of applied loads and nonstructural mass at the early conceptual design stage. In this paper, member cross-sectional property is added as random variables to consider the actual design situation/The effects that multiple criteria, namely stiffness and eigen-frequency, have upon system reliability are evaluated by regarding them as a series system, where mode reliabilities can be evaluated using first order reliability methods. Through numerical calculations, the effect of considering uncertainty of member cross-sectional property on the optimum topology is discussed.
2006-11-14