Structural topology and shape optimization for a frequency response problem
dc.contributor.author | Ma, Zheng-Dong | en_US |
dc.contributor.author | Kikuchi, Noboru | en_US |
dc.contributor.author | Hagiwara, I. | en_US |
dc.date.accessioned | 2006-09-11T19:25:24Z | |
dc.date.available | 2006-09-11T19:25:24Z | |
dc.date.issued | 1993-12 | en_US |
dc.identifier.citation | Ma, Z. -D.; Kikuchi, N.; Hagiwara, I.; (1993). "Structural topology and shape optimization for a frequency response problem." Computational Mechanics 13(3): 157-174. <http://hdl.handle.net/2027.42/47814> | en_US |
dc.identifier.issn | 1432-0924 | en_US |
dc.identifier.issn | 0178-7675 | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/47814 | |
dc.description.abstract | A topology and shape optimization technique using the homogenization method was developed for stiffness of a linearly elastic structure by Bendsøe and Kikuchi (1988), Suzuki and Kikuchi (1990, 1991), and others. This method has also been extended to deal with an optimal reinforcement problem for a free vibration structure by Diaz and Kikuchi (1992). In this paper, we consider a frequency response optimization problem for both the optimal layout and the reinforcement of an elastic structure. First, the structural optimization problem is transformed to an Optimal Material Distribution problem (OMD) introducing microscale voids, and then the homogenization method is employed to determine and equivalent “averaged” structural analysis model. A new optimization algorithm, which is derived from a Sequential Approximate Optimization approach (SAO) with the dual method, is presented to solve the present optimization problem. This optimization algorithm is different from the CONLIN (Fleury 1986) and MMA (Svanderg 1987), and it is based on a simpler idea that employs a shifted Lagrangian function to make a convex approximation. The new algorithm is called “Modified Optimality Criteria method (MOC)” because it can be reduced to the traditional OC method by using a zero value for the shift parameter. Two sensitivity analysis methods, the Direct Frequency Response method (DFR) and the Modal Frequency Response method (MFR), are employed to calculate the sensitivities of the object functions. Finally, three examples are given to show the feasibility of the present approach. | en_US |
dc.format.extent | 1369395 bytes | |
dc.format.extent | 3115 bytes | |
dc.format.mimetype | application/pdf | |
dc.format.mimetype | text/plain | |
dc.language.iso | en_US | |
dc.publisher | Springer-Verlag | en_US |
dc.subject.other | Engineering | en_US |
dc.subject.other | Numerical and Computational Methods in Engineering | en_US |
dc.subject.other | Systems and Information Theory in Engineering | en_US |
dc.subject.other | Condensed Matter and Material Sciences | en_US |
dc.subject.other | Thermodynamics | en_US |
dc.subject.other | Theoretical and Applied Mechanics | en_US |
dc.title | Structural topology and shape optimization for a frequency response problem | en_US |
dc.type | Article | en_US |
dc.subject.hlbsecondlevel | Mechanical Engineering | en_US |
dc.subject.hlbsecondlevel | Engineering (General) | en_US |
dc.subject.hlbsecondlevel | Computer Science | en_US |
dc.subject.hlbtoplevel | Engineering | en_US |
dc.description.peerreviewed | Peer Reviewed | en_US |
dc.contributor.affiliationum | Computational Laboratory Department of Mechanical Engineering and Applied Mechanics, The University of Michigan, 48109-2215, Ann Arbor, MI, USA | en_US |
dc.contributor.affiliationother | Vehicle Research Laboratory, Central Engineering Laboratories, Nissan Motor Co., LTD, Japan | en_US |
dc.contributor.affiliationother | Department of Applied Mechanics, Jilin University of Technology, Changchun, Peoples Republic of China | en_US |
dc.contributor.affiliationumcampus | Ann Arbor | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/47814/1/466_2004_Article_BF00370133.pdf | en_US |
dc.identifier.doi | http://dx.doi.org/10.1007/BF00370133 | en_US |
dc.identifier.source | Computational Mechanics | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
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