Violin string shape functions for finite element analysis of rotating Timoshenko beams

Violin strings are relatively short and stiff and are well modeled by Timoshenko beam theory. We use the static part of the homogeneous differential equation of violin strings to obtain new shape functions for the finite element analysis of rotating Timoshenko beams. For deriving the shape functions...

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Veröffentlicht in:	Finite elements in analysis and design 2011-09, Vol.47 (9), p.1091-1103
Hauptverfasser:	Vinod Kumar, A.S., Ganguli, Ranjan
Format:	Artikel
Sprache:	eng
Schlagworte:	Beams (structural) Exact sciences and technology Finite element Finite element method Fundamental areas of phenomenology (including applications) Mathematical analysis Physics Rotary inertia Rotating Rotating beam Shape functions Shear deformation Solid mechanics Static elasticity (thermoelasticity...) Strings Structural and continuum mechanics Timoshenko beams Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...) Violin strings Violins
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