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  • In this paper a fundamental solution of the problem describing the longitudinal vibration of the rod with viscous damping has been found. A theoretical approach for the determination of normal modes of vibrating one-dimensional mechanical systems with 3-stepwise constant properties has been put forward. The transcendental equation has been derived from the solution in Laplace image space and its roots are natural frequencies. The equation relates thickness of layers and elastic moduli; it makes possible experimental measurement of thin film thickness and elastic moduli. The physical interpretation of the natural frequencies by introducing an “effective speed of the wave propagation has been proposed.
  • In this paper a fundamental solution of the problem describing the longitudinal vibration of the rod with viscous damping has been found. A theoretical approach for the determination of normal modes of vibrating one-dimensional mechanical systems with 3-stepwise constant properties has been put forward. The transcendental equation has been derived from the solution in Laplace image space and its roots are natural frequencies. The equation relates thickness of layers and elastic moduli; it makes possible experimental measurement of thin film thickness and elastic moduli. The physical interpretation of the natural frequencies by introducing an “effective speed of the wave propagation has been proposed. (en)
Title
  • Theoretical approach for determination of normal modes of vibrating mechanical systems with discontinuous properties
  • Theoretical approach for determination of normal modes of vibrating mechanical systems with discontinuous properties (en)
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  • Theoretical approach for determination of normal modes of vibrating mechanical systems with discontinuous properties
  • Theoretical approach for determination of normal modes of vibrating mechanical systems with discontinuous properties (en)
skos:notation
  • RIV/61388998:_____/09:00328795!RIV10-AV0-61388998
http://linked.open...avai/riv/aktivita
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  • P(IAA200760801), Z(AV0Z10100521), Z(AV0Z20760514)
http://linked.open...vai/riv/dodaniDat
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  • 346161
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  • RIV/61388998:_____/09:00328795
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  • normal modes; laplace transform; resonance (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [A8292ED0E027]
http://linked.open...v/mistoKonaniAkce
  • Porto
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  • Porto
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  • Proceedings IRF' 2009
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  • Fedorchenko, Alexander I.
  • Stachiv, Ivo
  • Wang, A. B.
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http://linked.open.../riv/zahajeniAkce
http://linked.open...n/vavai/riv/zamer
number of pages
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  • Faculty of Engineering, University of Porto
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  • 978-972-8826-21-5
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