@article{oai:repo.lib.tut.ac.jp:00001104,
 author = {SHIMODA, Masatoshi and AZEGAMI, Hideyuki and SAKURAI, Toshiaki},
 issue = {3},
 journal = {JSME international journal. Ser. A, Mechanics and material engineering, JSME international journal. Ser. A, Mechanics and material engineering},
 month = {Jul},
 note = {We describe numerical analysis methods for multiobjective shape optimization of linear elastic structures. As an example, we consider a multiloading mean compliance minimization problem with a volume constraint. The methods presented here are based on the traction method, in which the speed field representing the domain variation is analyzed. A weighted lp-norm method with four types of norm is employed to scalarize the multiobjective functionals. The shape gradient functions for each scalarized objective functional are obtained using the Lagrange multiplier method. A general-purpose finite element code is used to perform the numerical analyses. Numerical analysis results for a multiply connected plate problem and a solid structure problem under multiloading conditions are presented to demonstrate the validity of the traction method in obtaining Pareto optimal solutions., ・rights：日本機械学会
・rights：本文データは学協会の許諾に基づきCiNiiから複製したものである
・relation：isVersionOf：http://ci.nii.ac.jp/naid/110002964479/},
 pages = {407--414},
 title = {Multiobjective Shape Optimization of Linear Elastic Structures Considering Multiple Loading Conditions  (Dealing with Mean Compliance Minimization problems)},
 volume = {39},
 year = {1996}
}