دورية أكاديمية

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

التفاصيل البيبلوغرافية
العنوان: Optimization of space-time material layout for 1D wave propagation with varying mass and stiffness parameters.
المؤلفون: Jensen, Jakob S.
المصدر: Control & Cybernetics; 2010, Vol. 39 Issue 3, p599-614, 16p, 4 Diagrams, 4 Graphs
مصطلحات موضوعية: MATHEMATICAL optimization, DYNAMIC programming, SENSITIVITY analysis, TRANSIENTS (Dynamics), ELASTIC wave propagation, GALERKIN methods, GAUSSIAN processes, STRUCTURAL optimization
مستخلص: 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. [ABSTRACT FROM AUTHOR]
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