A Fourier series solution for the transverse vibration response of a beam with a viscous boundary

This paper presents the generalized Fourier series solution for the transverse vibration of a beam subjected to a viscous boundary. The model of the system produces a non-self-adjoint eigenvalue-like problem which does not yield orthogonal eigenfunctions; therefore, such functions cannot be used to...

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Veröffentlicht in:	Journal of sound and vibration 2011-03, Vol.330 (7), p.1504-1515
1. Verfasser:	Jovanovic, Vojin
Format:	Artikel
Sprache:	eng
Schlagworte:	Beams (structural) Boundaries Computer simulation Eigenfunctions Eigenvalues Exact sciences and technology Fourier series Fundamental areas of phenomenology (including applications) Mathematical analysis Mathematical models Physics Solid mechanics Structural and continuum mechanics Vibration Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)
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