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Robustness analysis
of structures based on plastic limit analysis with uncertain
loads
Yu Matsuda and Yoshihiro Kanno |
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Vol. 3 (2008), No. 2, 213–241
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Abstract |
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This paper presents a method for computing an info-gap robustness function of structures, which is regarded as one measure of structural robustness, under uncertainties associated with the limit load factor. We assume that the external load in the plastic limit analysis is uncertain around its nominal value. Various uncertainties are considered for the live, dead, and reference disturbance loads based on the nonstochastic info-gap uncertainty model. Although the robustness function is originally defined by using the optimization problem with infinitely many constraints, we show that the robustness function is obtained as an optimal value of a linear programming (LP) problem. Hence, we can easily compute the info-gap robustness function associated with the limit load factor by solving an LP problem. As the second contribution, we show that the robust structural optimization problems of trusses and frames can also be reduced to LP problems. In numerical examples, the robustness functions, as well as the robust optimal designs, are computed for trusses and framed structures by solving LP problems. |
Keywords
data uncertainty, linear program, plastic limit analysis,
robust optimization, info-gap analysis
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Milestones
Received: 25 June 2007
Revised: 7 August 2007
Accepted: 8 August 2007
Published: 1 February 2008
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Authors |
| Yu Matsuda | |
| Department of Mathematical
Informatics Graduate School of Information Science and Technology University of Tokyo Tokyo 113-8656 Japan |
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| Yoshihiro Kanno | |
| Department of Mathematical
Informatics Graduate School of Information Science and Technology University of Tokyo Tokyo 113-8656 Japan |
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| http://www.simplex.t.u-tokyo.ac.jp/ | |
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