Bounded-But-Unknown uncertainty optimization using design sensitivities and parallel computing: Application to MEMS
In the present paper uncertainty-based design optimization of structures is carried out. A description of uncertainties via bounds on the uncertainty variables is adopted. An anti-optimization technique, which searches for the combinations of uncertainties yielding the worst responses, is used to ta...
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| Published in: | Computers & structures Vol. 83; no. 14; pp. 1134 - 1149 |
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| Main Authors: | , , |
| Format: | Journal Article Conference Proceeding |
| Language: | English |
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Oxford
Elsevier Ltd
01.05.2005
Elsevier Science |
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| ISSN: | 0045-7949, 1879-2243 |
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| Abstract | In the present paper uncertainty-based design optimization of structures is carried out. A description of uncertainties via bounds on the uncertainty variables is adopted. An anti-optimization technique, which searches for the combinations of uncertainties yielding the worst responses, is used to tackle these Bounded-But-Unknown uncertainties of non-convex or discontinuous nature. This anti-optimization technique is computationally very expensive and can become impractical for real world applications, in particularly when expensive numerical response evaluations are involved. In order to reduce the number of expensive numerical response evaluations, a modified anti-optimization technique is proposed in the present paper. This
enhanced anti-optimization technique incorporates design sensitivities and database technique and is further modified to use parallel computing in order to increase the computational efficiency. The enhanced anti-optimization technique is studied on the basis of test examples from literature and a Microelectromechanical Systems (MEMS) structure. A comparison between results for the examples, clearly shows an improvement in computational efficiency for the anti-optimization technique, due to the use of sensitivities, database and parallel computing. The enhanced anti-optimization technique can be applied efficiently to general problems involving uncertainties of non-convex or discontinuous nature. |
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| AbstractList | In the present paper uncertainty-based design optimization of structures is carried out. A description of uncertainties via bounds on the uncertainty variables is adopted. An anti-optimization technique, which searches for the combinations of uncertainties yielding the worst responses, is used to tackle these Bounded-But-Unknown uncertainties of non-convex or discontinuous nature. This anti-optimization technique is computationally very expensive and can become impractical for real world applications, in particularly when expensive numerical response evaluations are involved. In order to reduce the number of expensive numerical response evaluations, a modified anti-optimization technique is proposed in the present paper. This
enhanced anti-optimization technique incorporates design sensitivities and database technique and is further modified to use parallel computing in order to increase the computational efficiency. The enhanced anti-optimization technique is studied on the basis of test examples from literature and a Microelectromechanical Systems (MEMS) structure. A comparison between results for the examples, clearly shows an improvement in computational efficiency for the anti-optimization technique, due to the use of sensitivities, database and parallel computing. The enhanced anti-optimization technique can be applied efficiently to general problems involving uncertainties of non-convex or discontinuous nature. In the present paper uncertainty-based design optimization of structures is carried out. A description of uncertainties via bounds on the uncertainty variables is adopted. An anti-optimization technique, which searches for the combinations of uncertainties yielding the worst responses, is used to tackle these Bounded-But-Unknown uncertainties of non-convex or discontinuous nature. This anti-optimization technique is computationally very expensive and can become impractical for real world applications, in particularly when expensive numerical response evaluations are involved. In order to reduce the number of expensive numerical response evaluations, a modified anti-optimization technique is proposed in the present paper. This enhanced anti-optimization technique incorporates design sensitivities and database technique and is further modified to use parallel computing in order to increase the computational efficiency. The enhanced anti-optimization technique is studied on the basis of test examples from literature and a Microelectromechanical Systems (MEMS) structure. A comparison between results for the examples, clearly shows an improvement in computational efficiency for the anti-optimization technique, due to the use of sensitivities, database and parallel computing. The enhanced anti-optimization technique can be applied efficiently to general problems involving uncertainties of non-convex or discontinuous nature. |
| Author | Gurav, S.P. Goosen, J.F.L. vanKeulen, F. |
| Author_xml | – sequence: 1 givenname: S.P. surname: Gurav fullname: Gurav, S.P. email: s.p.gurav@wbmt.tudelft.nl – sequence: 2 givenname: J.F.L. surname: Goosen fullname: Goosen, J.F.L. email: j.f.l.goosen@wbmt.tudelft.nl – sequence: 3 givenname: F. surname: vanKeulen fullname: vanKeulen, F. email: f.vankeulen@wbmt.tudelft.nl |
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| Cites_doi | 10.2514/6.2002-1759 10.1016/S0045-7825(97)00148-5 10.1080/03052159708940994 10.1007/BF01743169 10.2514/6.2001-1242 10.1002/zamm.19990791318 10.1002/(SICI)1097-0207(19980515)42:1<71::AID-NME350>3.0.CO;2-C 10.1007/s00158-004-0398-8 10.1016/0924-4247(93)80128-4 10.1002/nme.309 10.1016/S0020-7683(99)00322-4 10.1016/j.compstruct.2003.09.024 10.2514/6.2002-1584 10.2514/6.2004-4619 10.1007/s00158-004-0392-1 10.1016/0045-7949(94)90405-7 |
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| Keywords | Parallel computing Bounded-But-Unknown Design sensitivities MEMS Anti-optimization Uncertainties Optimization Uncertain systems Sensitivity analysis Worst case method Parallel algorithms Design process Database Parallel computation Microelectromechanical device Non convex analysis |
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| SubjectTerms | Anti-optimization Bounded-But-Unknown Design sensitivities Exact sciences and technology Fundamental areas of phenomenology (including applications) Instruments, apparatus, components and techniques common to several branches of physics and astronomy Mechanical instruments, equipment and techniques MEMS Micromechanical devices and systems Optimization Parallel computing Physics Uncertainties |
| Title | Bounded-But-Unknown uncertainty optimization using design sensitivities and parallel computing: Application to MEMS |
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