Time-dependent reliability-based optimization for structural-topological configuration design under convex-bounded uncertain modeling. (May 2022)

• Record Type: Journal Article
• Authors: Wang, Lei; Liu, Yaru; Li, Min
• Is Part Of: Reliability engineering & system safety. Volume 221(2022)
• Publication Date: 2022-05
• Subjects: Convexity-oriented time-dependent reliability-based topology optimization (CTRBTO) -- Full-dimensional convex set collocation theorem -- Convex time-dependent reliability (CTR) -- Design sensitivity analysis -- Lagrange multiplier method; Reliability (Engineering) -- Periodicals; System safety -- Periodicals; Industrial safety -- Periodicals; Fiabilité -- Périodiques; Sécurité des systèmes -- Périodiques; Sécurité du travail -- Périodiques; 620.00452
• DOI: 10.1016/j.ress.2022.108361
• Languages: English
• ISSNs: 0951-8320

Abstract

Highlights: A novel convexity-oriented time-dependent reliability-based topology optimization (CTRBTO) scheme is proposed. The full-dimensional convex set collocation approach is presented to reveal the convex process of displacement responses. The convex time-dependent reliability (CTR) index is defined and its design sensitivity about design variables is deduced. Abstract: In this work, a novel convexity-oriented time-dependent reliability-based topology optimization (CTRBTO) framework is investigated with overall consideration of universal uncertainties and time-varying natures in configuration design. For uncertain factors, the initial static ones are quantified by the convex set model and nodal dynamic responses are then expressed by the convex process model, where both the boundary rules and time-dependency properties are revealed by the full-dimensional convex-set collocation theorem. Unlike the original deterministic constraints in topology optimization schemes, a new convex time-dependent reliability (CTR) index is defined to give a reasonable failure judgment of local dynamic stiffness and impel the overall CTRBTO strategy. In addition, the gradient-based iterative algorithm is utilized to guarantee the computational robustness and the CTR-driven design sensitivities are explicitly analyzed by the Lagrange multiplier method. Several numerical examples are used to illustrate the effectiveness of the proposed method, and numerical results reflect the significance of this study to a certain extent.