On the multi-component layout design with inertial force

• Published in: Journal of computational and applied mathematics Vol. 234; no. 7; pp. 2222 - 2230
• Main Authors: Zhu, J.H., Beckers, P., Zhang, W.H.
• Format: Journal Article Conference Proceeding
• Language: English
• Published: Kidlington Elsevier B.V 01-08-2010; Elsevier
• Subjects: Boundaries; Calculus of variations and optimal control; Combinatorics; Combinatorics. Ordered structures; Design engineering; Designs and configurations; Exact sciences and technology; Finite-circle method; Inertial; Inertial loading; Integrated layout optimization; Interpolation; Mathematical analysis; Mathematical models; Mathematics; Multi-component system; Numerical analysis; Numerical analysis. Scientific computation; Numerical approximation; Numerical methods in mathematical programming, optimization and calculus of variations; Numerical methods in optimization and calculus of variations; Optimization; Sciences and techniques of general use; Singularities; Stiffness; Topology optimization; Integrated layout optimization; Inertial loading; Multi-component system; Finite-circle method; Complex system; Optimization method; Numerical method; Stochastic method; Numerical approximation; Interpolation; Numerical analysis; Applied mathematics; Variational calculus; Mathematical programming
• ISSN: 0377-0427; 1879-1778
• DOI: 10.1016/j.cam.2009.08.073

The purpose of this paper is to introduce inertial forces into the proposed integrated layout optimization method designing the multi-component systems. Considering a complex packing system for which several components will be placed in a container of specific shape, the aim of the design procedure is to find the optimal location and orientation of each component, as well as the configuration of the structure that supports and interconnects the components. On the one hand, the Finite-circle Method (FCM) is used to avoid the components overlaps, and also overlaps between components and the design domain boundaries. One the other hand, the optimal material layout of the supporting structure in the design domain is designed by topology optimization. A consistent material interpolation scheme between element stiffness and inertial load is presented to avoid the singularity of localized deformation due to the presence of design dependent inertial loading when the element stiffness and the involved inertial load are weakened with the element material removal. The tested numerical example shows the proposed methods extend the actual concept of topology optimization and are efficient to generate reasonable design patterns.