On the multi-component layout design with inertial force

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...

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Bibliographic Details
Published in:Journal of computational and applied mathematics 2010-08, Vol.234 (7), p.2222-2230
Main Authors: Zhu, J.H., Beckers, P., Zhang, W.H.
Format: Article
Language:English
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
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Summary: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.
ISSN:0377-0427
1879-1778
DOI:10.1016/j.cam.2009.08.073