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

Jensen J. S.

Control and Cybernetics

2010

Vol. 39, no 3

599-614

Results are presented for optimal layout of materials in the spatial and temporal domains for a ID 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 ID 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.

Analysis of energy flow in a Human Being – machine system with application of energy portraits of power

Wojsznis M., Dobry M. W.

Vibrations in Physical Systems

2006

Vol. 22

373--378