The Wave Propagation Method for the Analysis of Boundary Stabilization in Vibrating Structures

DOI10.1137/0150076zbMath0712.73069OpenAlexW2083777607MaRDI QIDQ3197484

Goong Chen, Jian Xin Zhou

Publication date: 1990

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0150076

zbMATH Keywords

feedback stabilizationboundary dampingevanescent wavesincidentflexible robotsreflectedboundary feedback schemesasymptotic estimates of eigenvaluesdecompose vibration waveseigenfrequency estimateseigenspectrum of vibrationmultidimensional scattering problemsone-dimensional vibration problemstransmittedvibration control of flexible space structures

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Control, switches and devices (``smart materials) in solid mechanics (74M05) Feedback control (93B52) Vibrations in dynamical problems in solid mechanics (74H45) Estimates of eigenvalues in context of PDEs (35P15) Asymptotic distributions of eigenvalues in context of PDEs (35P20)

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