A non-parametric free-form optimization method for shell structures

• Published in: Structural and multidisciplinary optimization Vol. 50; no. 3; pp. 409 - 423
• Main Authors: Shimoda, Masatoshi, Liu, Yang
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.09.2014; Springer Nature B.V
• Subjects: Computational Mathematics and Numerical Analysis; Curvature; Engineering; Engineering Design; Force distribution; Free form; Hilbert space; Lagrange multiplier; Nonparametric statistics; Parameterization; Research Paper; Shape optimization; Shells; Stress concentration; Theoretical and Applied Mechanics; Traction force; Free-form; Optimum design; Shell; Parameter free; Shape optimization; Traction method; FEM

This paper presents a numerical shape optimization method for the optimum free-form design of shell structures. It is assumed that the shell is varied in the out-of-plane direction to the surface to determine the optimal free-form. A compliance minimization problem subject to a volume constraint is...