A new geometrically nonlinear topology optimization formulation for controlling maximum displacement. Issue 8 (3rd August 2021)

• Record Type: Journal Article
• Authors: Chen, Zhuo; Long, Kai; Wang, Xuan; Liu, Jie; Saeed, Nouman
• Is Part Of: Engineering optimization. Volume 53:Issue 8(2021)
• Page Start: 1283
• Page End: 1297
• Publication Date: 2021-08-03
• Subjects: Topology optimization -- geometric nonlinearity -- SIMP method -- lightweight design -- maximum deflection; Engineering design -- Periodicals; Mathematical optimization -- Periodicals; 620.0042
• DOI: 10.1080/0305215X.2020.1781106
• Languages: English
• ISSNs: 0305-215X

Abstract

Abstract : This article presents a novel formulation for geometric nonlinear topology optimization problems. In practical engineering, maximum deflection is frequently used to quantify the stiffness of continuum structures, yet not applied generally as the optimization constraint in geometrically nonlinear topology optimization problems. In this study, the maximum nodal displacement is formulated as a sole constraint. The p -mean aggregation function is adopted to efficiently treat a mass of local displacement constraints imposed on nodes in the user-specified region. The sensitivities of the objective and constraint functions with respect to relative densities are derived. The effect of the aggregate parameter on the final design is further investigated through numerical examples. By comparison with final designs from the traditional formulation, i.e. minimization end compliance with the volume fraction constraint, or minimization of total volume subject to multiple nodal displacement constraints, the optimized results clearly demonstrate the necessity for and efficiency of the present approach.