A generalised Fourier method to solve the initial boundary value problem for free vibrating viscoelastic beam models

Lang H, Leyendecker S (2017)

Publication Type: Conference contribution, Conference Contribution

Publication year: 2017

Conference Proceedings Title: Proceedings of the ECCOMAS Thematic Conference on Mutlibody Dynamics

Event location: Prague CZ

Abstract

Fourier's method for analysing vibrations in elastic Hookean beam structures is generalised for viscoelastic beam structures with Kelvin-Voigt material. The corresponding generalised Euler-Fourier equations are derived in an analytical manner, where the special case of Hookean elasticity is included. Numerical results and comparison to finite element computations are presented.

Authors with CRIS profile

Holger Lang Institute of Applied Dynamics Sigrid Leyendecker Institute of Applied Dynamics

Additional Organisation(s)

Institute of Applied Dynamics

Related research project(s)

Complex frequency response for linear viscoelastic beams of Kelvin-Voigt type Jan. 1, 2011 - June 30, 2021

How to cite

APA:

Lang, H., & Leyendecker, S. (2017). A generalised Fourier method to solve the initial boundary value problem for free vibrating viscoelastic beam models. In Proceedings of the ECCOMAS Thematic Conference on Mutlibody Dynamics. Prague, CZ.

MLA:

Lang, Holger, and Sigrid Leyendecker. "A generalised Fourier method to solve the initial boundary value problem for free vibrating viscoelastic beam models." Proceedings of the ECCOMAS Thematic Conference on Mutlibody Dynamics, Prague 2017.

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