ON BOUNDARY FEEDBACK STABILISABILITY OF A VISCOELASTIC BEAM

Leugering G (1990)


Publication Language: English

Publication Status: Published

Publication Type: Journal article, Original article

Publication year: 1990

Journal

Publisher: Cambridge University Press (CUP)

Book Volume: 114

Pages Range: 57-69

Journal Issue: 1-2

URI: https://www.cambridge.org/core/journals/proceedings-of-the-royal-society-of-edinburgh-section-a-mathematics/article/on-boundary-feedback-stabilisability-of-a-viscoelastic-beam/F4A796392C45ECEEE3A0142E33FAA739

DOI: 10.1017/S0308210500024264

Abstract

It is shown that a cantilevered beam with weak viscoelastic damping of Boltzmann-type can be uniformly stabilised by velocity feedback applied as a shearing force at the free end of the beam. Estimates for the viscoelastic energy are derived using the energy multiplier method. The energy decay is related to the decay of the relaxation modulus associated with the viscoelastic material.

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How to cite

APA:

Leugering, G. (1990). ON BOUNDARY FEEDBACK STABILISABILITY OF A VISCOELASTIC BEAM. Proceedings of the Royal Society of Edinburgh Section A-Mathematics, 114(1-2), 57-69. https://doi.org/10.1017/S0308210500024264

MLA:

Leugering, Günter. "ON BOUNDARY FEEDBACK STABILISABILITY OF A VISCOELASTIC BEAM." Proceedings of the Royal Society of Edinburgh Section A-Mathematics 114.1-2 (1990): 57-69.

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