Optimization of space-time material layout for 1D wave propagation with varying mass and stiffness parameters

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Abstract

Results are presented for optimal layout of materials in the spatial and temporal domains for a 1D structure subjected to transient wave propagation. A general optimization procedure is outlined including derivation of design sensitivities for the case when the mass density and stiffness vary in time. The outlined optimization procedure is exemplified on a 1D wave propagation problem in which a single gaussian pulse is compressed when propagating through the optimized structure. Special emphasis is put on the use of a time-discontinuous Galerkin integration scheme that facilitates analysis of a system with a time-varying mass matrix.
Original languageEnglish
JournalCONTROL AND CYBERNETICS
Volume39
Issue number3
Pages (from-to)599-614
ISSN0324-8569
Publication statusPublished - 2010
EventWorkshop On Optimization with PDE Constraints - Warsaw, Poland
Duration: 1 Jan 20081 Jan 2008

Workshop

WorkshopWorkshop On Optimization with PDE Constraints
CountryPoland
CityWarsaw
Period01/01/200801/01/2008
OtherNo exact date found.

Keywords

  • Transient analysis
  • Topology optimization
  • Dynamic structures
  • Wave propagation

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