Geodesic
Small Transverse Vibrations of Visco-Elastic Rods
Matematičeskie zametki, Tome 89 (2011) no. 6, pp. 825-832

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We study the spectral problem related to the description of small transverse vibrations of homogeneous visco-elastic rods. The left end of the rod is hinged at the joint. The right end is attached to a concentrated mass. The spectrum of this problem is described and asymptotic formulas for eigenvalues are obtained.
Keywords: visco-elastic rod, Sobolev space, spectral problem, operator pencil, self-adjoint operator, analytic function.
Mots-clés : transverse vibration 
@article{MZM_2011_89_6_a2,
     author = {I. V. Gorokhova},
     title = {Small {Transverse} {Vibrations} of {Visco-Elastic} {Rods}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {825--832},
     publisher = {mathdoc},
     volume = {89},
     number = {6},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2011_89_6_a2/}
}
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I. V. Gorokhova. Small Transverse Vibrations of Visco-Elastic Rods. Matematičeskie zametki, Tome 89 (2011) no. 6, pp. 825-832. http://geodesic.mathdoc.fr/item/MZM_2011_89_6_a2/