Polygonal multiresolution topology optimization (PolyMTOP) for structural dynamics
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We use versatile polygonal elements along with a multiresolution scheme for topology optimization to achieve computationally efficient and high resolution designs for structural dynamics problems. The multiresolution scheme uses a coarse finite element mesh to perform the analysis, a fine design variable mesh for the optimization and a fine density variable mesh to represent the material distribution. The finite element discretization employs a conforming finite element mesh. The design variable and density discretizations employ either matching or non-matching grids to provide a finer discretization for the density and design variables. Examples are shown for the optimization of structural eigenfrequencies and forced vibration problems.
KeywordsTopology optimization Multiresolution Polygonal elements Eigenfrequency optimization Forced vibration optimization
The authors gratefully acknowledge funding provided by the National Science Foundation (NSF) through projects CMMI 1234243 and CMMI 1321661. The first author is thankful for support from the NSF Graduate Research Fellowship Program. We also acknowledge support from the Donald B. and Elizabeth M. Willett endowment at the University of Illinois at Urbana-Champaign. The fourth author acknowledges the support by the SNU Invitation Program for Distinguished Scholars and the Integrated Research Institute of Construction and Environmental Engineering at Seoul National University. Any opinion, finding, conclusions or recommendations expressed here are those of the authors and do not necessarily reflect the views of the sponsors.
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