Optimal vibration quenching for an Euler-Bernoulli beam

DOI10.1006/jmaa.1999.6564zbMath0937.74048OpenAlexW2075879792MaRDI QIDQ1818992

Yanyan Li

Publication date: 7 June 2000

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1999.6564

zbMATH Keywords

existenceuniquenessapproximate solutionsEuler-Bernoulli beamcomplete set of orthogonal eigenfunctionsdistributed control methodoptimal vibration quenching

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Optimization of other properties in solid mechanics (74P10) Existence of solutions of dynamical problems in solid mechanics (74H20) Uniqueness of solutions of dynamical problems in solid mechanics (74H25)

Cites Work

• Active quenching of a set of predetermined vibratory modes of a beam by a single fixed point actuator
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