论文信息 - Layout optimization of structures with finite-sized features using multiresolution analysis

Layout optimization of structures with finite-sized features using multiresolution analysis

A scheme for layout optimization in structures with multiple finite-sized heterogeneities is presented. Multiresolution analysis is used to compute reduced operators (stiffness matrices) representing the elastic behavior of material distributions with heterogeneities of sizes that are comparable to the size of the structure. Two approaches for computing the reduced operators are presented: one based on a multiresolution analysis of displacements and the other based on a multiresolution analysis of a function representing the material distribution. Numerical examples using the mean compliance as the objective function are presented to illustrate the method.

M. P. Bendsøe | A. R. Diaz | S. Chellappa

[1] A. Diaz. A wavelet-Galerkin scheme for analysis of large-scale problems on simple domains , 1999 .

[2] Noboru Kikuchi,et al. Topology and Generalized Layout Optimization of Elastic Structures , 1993 .

[3] S. Torquato,et al. Scale effects on the elastic behavior of periodic andhierarchical two-dimensional composites , 1999 .

[4] K. Svanberg. The method of moving asymptotes—a new method for structural optimization , 1987 .

[5] A. Bensoussan,et al. Asymptotic analysis for periodic structures , 1979 .

[6] H. L. Resnikoff,et al. Wavelet analysis: the scalable structure of information , 1998 .

[7] A. Diaz,et al. Single scale wavelet approximations in layout optimization , 1999 .

[8] C. S. Jog,et al. A new approach to variable-topology shape design using a constraint on perimeter , 1996 .

[9] Doris Schattschneider,et al. Escher's combinatorial patterns , 1996, Electron. J. Comb..

[10] Alejandro R. Diaz,et al. Designing materials with prescribed elastic properties using polygonal cells , 2003 .

[11] B. Engquist,et al. Wavelet-Based Numerical Homogenization , 1998 .

[12] A. Gilbert. A Comparison of Multiresolution and Classical One-Dimensional Homogenization Schemes , 1998 .

[13] G. Beylkin,et al. A Multiresolution Strategy for Numerical Homogenization , 1995 .

[14] Niels Olhoff,et al. On CAD-integrated structural topology and design optimization , 1991 .