Nonlinear stiffness optimization with prescribed deformed geometry and loads

• Published in: Structural and multidisciplinary optimization Vol. 65; no. 2
• Main Authors: Fan, Zhirui, Yan, Jun, Wallin, Mathias, Ristinmaa, Matti, Niu, Bin, Mooney, Sean, Zhao, Guozhong
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.02.2022; Springer Nature B.V
• Subjects: Beräkningsmatematik; Boundary conditions; Cantilever beams; Computational Mathematics; Computational Mathematics and Numerical Analysis; Configurations; Deformation; Design optimization; Engineering; Engineering Design; Finite element method; Finite strain; Force distribution; Geometric control; Geometry; Inverse motion; Load; Load distribution; Load distribution (forces); Matematik; Mathematical Sciences; Mathematics; Natural Sciences; Naturvetenskap; Nonlinear equations; Nonlinear finite element analysis; Optimization; Partial differential equations; Research Paper; Sensitivity analysis; Stiffness; Theoretical and Applied Mechanics; Topology optimization; Topology optimization; Geometric control; Load distribution; Nonlinear finite element analysis; Finite strain; Inverse motion

Optimization based on traditional forward motion analysis to ensure a prescribed load distribution on a deformed geometry is challenging, since the load distribution is highly coupled to the deformed geometry, boundary conditions, and the optimized material layout. In contrast to traditional forward...