Mechanical impedance of thin viscoelastic plates View Full Text


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Article Info

DATE

1986-06

AUTHORS

B. Suki

ABSTRACT

In this paper the mechanical properties of a thin circular viscoelastic plate of homogeneous and isotropic material are studied. The equation of motion of the plate is developed on the basis of continuum mechanics and general viscoelasticity. The mechanical impedance of the plate is derived from the solution of its equation of motion and the formula obtained for the admittance is expanded into an infinite series. The members of this series, as this study shows, can be realised by a mechanical system consisting of discrete mechanical elements such as dashpots, springs and masspoints. Thus, the computation of the impedance of the plate can be reduced to the determination of the resultant impedance of a lumped parameter system. According to the three special viscoelastic stress-strain relationships considered here, discrete models of the plate are built up from the connections of Maxwell, Voigt and Kelvin bodies, each completed with mass elements. The use of these models provides a well treatable, convenient method for the computation of the mechanical impedance of a thin viscoelastic plate. More... »

PAGES

409-415

Journal

TITLE

Acta Physica Hungarica

ISSUE

3-4

VOLUME

59

Author Affiliations

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/bf03053788

DOI

http://dx.doi.org/10.1007/bf03053788

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1085906545


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