Stiffness design of a continuum under Ill-load cases by fractional-norm objective formulation

Kun Cai; Jiao Shi; Aijun Zhang

doi:10.1007/s11081-013-9239-1

Stiffness design of a continuum under Ill-load cases by fractional-norm objective formulation

Kun Cai^*, Jiao Shi, Aijun Zhang

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

In stiffness design with ill-load cases (ILC) by traditional method, the difficulty is to find a feasible structural component for supporting the weaker loads. This is due to significant difference between the magnitudes of the loads. A fractional-norm objective formulation is proposed to give a feasible stiffness design of a continuum under ILC. In the method, the objective function of each load case is mean structural compliance (MSC), and the multiple-load optimization is transformed into single objective design problem by using fractional-norm weighted scheme. The effect of fractional-norm on the final material distribution of structure is investigated by both theoretical and numerical analysis. Using the present method, the stiffness design with ill-load cases can be solved easily by selecting a value of norm in the interval of [0.1, 0.5].

Original language	English
Pages (from-to)	927-944
Number of pages	18
Journal	Optimization and Engineering
Volume	15
Issue number	4
DOIs	https://doi.org/10.1007/s11081-013-9239-1
Publication status	Published - 10 Dec 2014

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title = "Stiffness design of a continuum under Ill-load cases by fractional-norm objective formulation",

abstract = "In stiffness design with ill-load cases (ILC) by traditional method, the difficulty is to find a feasible structural component for supporting the weaker loads. This is due to significant difference between the magnitudes of the loads. A fractional-norm objective formulation is proposed to give a feasible stiffness design of a continuum under ILC. In the method, the objective function of each load case is mean structural compliance (MSC), and the multiple-load optimization is transformed into single objective design problem by using fractional-norm weighted scheme. The effect of fractional-norm on the final material distribution of structure is investigated by both theoretical and numerical analysis. Using the present method, the stiffness design with ill-load cases can be solved easily by selecting a value of norm in the interval of [0.1, 0.5].",

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T1 - Stiffness design of a continuum under Ill-load cases by fractional-norm objective formulation

AU - Cai, Kun

AU - Shi, Jiao

AU - Zhang, Aijun

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N2 - In stiffness design with ill-load cases (ILC) by traditional method, the difficulty is to find a feasible structural component for supporting the weaker loads. This is due to significant difference between the magnitudes of the loads. A fractional-norm objective formulation is proposed to give a feasible stiffness design of a continuum under ILC. In the method, the objective function of each load case is mean structural compliance (MSC), and the multiple-load optimization is transformed into single objective design problem by using fractional-norm weighted scheme. The effect of fractional-norm on the final material distribution of structure is investigated by both theoretical and numerical analysis. Using the present method, the stiffness design with ill-load cases can be solved easily by selecting a value of norm in the interval of [0.1, 0.5].

AB - In stiffness design with ill-load cases (ILC) by traditional method, the difficulty is to find a feasible structural component for supporting the weaker loads. This is due to significant difference between the magnitudes of the loads. A fractional-norm objective formulation is proposed to give a feasible stiffness design of a continuum under ILC. In the method, the objective function of each load case is mean structural compliance (MSC), and the multiple-load optimization is transformed into single objective design problem by using fractional-norm weighted scheme. The effect of fractional-norm on the final material distribution of structure is investigated by both theoretical and numerical analysis. Using the present method, the stiffness design with ill-load cases can be solved easily by selecting a value of norm in the interval of [0.1, 0.5].

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KW - Ill-loading cases

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KW - Topology Optimization

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JO - Optimization and Engineering

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ER -

Stiffness design of a continuum under Ill-load cases by fractional-norm objective formulation

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