An adaptive volume constraint algorithm for topology optimization with a displacement-limit
This paper proposes a novel adaptive volume constraint algorithm (AVC) to replace the fixed volume constraint (FVC) in the traditional topology optimization method, such that a minimum-compliance optimal structure that simultaneously meets the additional displacement limit can be searched. Optimal m...
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| Veröffentlicht in: | Advances in engineering software (1992) Jg. 39; H. 12; S. 973 - 994 |
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| Sprache: | Englisch |
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Elsevier Ltd
01.12.2008
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| ISSN: | 0965-9978 |
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| Abstract | This paper proposes a novel adaptive volume constraint algorithm (AVC) to replace the fixed volume constraint (FVC) in the traditional topology optimization method, such that a minimum-compliance optimal structure that simultaneously meets the additional displacement limit can be searched. Optimal minimum-compliance structures are subject to the limit of a predetermined amount of material in traditional calculation methods, and often fail to meet practical stress and displacement constraints, or become unnecessarily strong. Without displacement sensitivities, the AVC algorithm iteratively adjusts allowable material usage based on the difference between the actual displacement, and the allowable displacement limit. In this way, topology optimization can efficiently construct a minimum-compliance structure that meets the allowable displacement limit. The regular volume constraint algorithm (RVC), which slightly changes the volume constraint each time at the end of FVC, is also executed in order to demonstrate the advantages of the AVC algorithm. The effectiveness of the AVC algorithm is demonstrated by two illustrative 2-D design problems: a cantilever beam and a simple beam. |
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| AbstractList | This paper proposes a novel adaptive volume constraint algorithm (AVC) to replace the fixed volume constraint (FVC) in the traditional topology optimization method, such that a minimum-compliance optimal structure that simultaneously meets the additional displacement limit can be searched. Optimal minimum-compliance structures are subject to the limit of a predetermined amount of material in traditional calculation methods, and often fail to meet practical stress and displacement constraints, or become unnecessarily strong. Without displacement sensitivities, the AVC algorithm iteratively adjusts allowable material usage based on the difference between the actual displacement, and the allowable displacement limit. In this way, topology optimization can efficiently construct a minimum-compliance structure that meets the allowable displacement limit. The regular volume constraint algorithm (RVC), which slightly changes the volume constraint each time at the end of FVC, is also executed in order to demonstrate the advantages of the AVC algorithm. The effectiveness of the AVC algorithm is demonstrated by two illustrative 2-D design problems: a cantilever beam and a simple beam. |
| Author | Hsu, Fang-Ming Lin, Chyi-Yeu |
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| CitedBy_id | crossref_primary_10_1080_02533839_2010_9671639 crossref_primary_10_1007_s00158_010_0580_0 crossref_primary_10_1002_tal_1817 crossref_primary_10_1017_jmech_2017_68 crossref_primary_10_1007_s12008_019_00607_1 crossref_primary_10_3390_app11093828 |
| Cites_doi | 10.1016/S0045-7949(00)00018-3 10.1007/BF02458535 10.1016/0045-7949(93)90035-C 10.1007/s001580050144 10.1016/S0168-874X(96)00049-2 10.1016/S0045-7825(01)00333-4 10.1016/0045-7825(93)90182-W 10.1016/S0045-7949(96)00402-6 10.1016/0168-874X(95)00043-S 10.1007/BF01279647 10.1007/PL00013281 10.1016/0045-7949(94)90279-8 10.1080/03052150412331271208 10.1016/0045-7825(88)90086-2 |
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| Keywords | Density method Topology optimization Adaptive volume constraint Displacement constraint Material distribution method |
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| SubjectTerms | Adaptive volume constraint Density method Displacement constraint Material distribution method Topology optimization |
| Title | An adaptive volume constraint algorithm for topology optimization with a displacement-limit |
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