Vibration of a Bowed String : 2nd Report, Influence of Flexural Rigidity and Internal Friction-No.2, Application of Timoshenko's Beam Theory

Abstract

Steady vibration s of a bowed string are investigated by adopting Timoshenko's beam theory and the Voigt model for flexural rigidity and internal friction respectively. At the same time, the effect of compliance and damping of bowing action is taken into consideration. The rotary inertia, shearing displacement, internal friction and compliance with damping of bowing action are shown to cooperate to mitigate the bad effects of inharmonicity due to flexural rigidity.