Abstract
The vibration of a violin bridge is a dynamic contact vibration with two interfaces: strings-bridge, and bridge feet-top plate. In this paper, the mobility of an isolated bridge under in-plane excitation is explored using finite element modeling based on the contact vibration model. Numerical results show that the dynamic contact stiffness in the two contact interfaces has a great impact on the bridge mobility. A main resonance peak is observed in the frequency range of 2–3 kHz in the frequency response of the isolated bridge when the contact stiffness is smaller than a critical threshold. The main resonance peak frequency is affected by the contact stiffness as well. In order to verify the numerical findings, a novel experimental system is then designed on the basis of a piezoelectric dynamometer for bridge mobility analysis. Experimental results confirm the impact of the dynamic contact stiffness on the bridge mobility.
Highlights
Measuring and studying the violin bridge mobility is not a new topic
According to the Hertzian contact vibration theory, the changing contact stiffness in these interfaces can cause the bridge resonance frequency to shift and the resonance amplitude to change for each vibration mode
Simulation results show that the contact stiffness has a significant impact on the bridge mobility
Summary
Measuring and studying the violin bridge mobility is not a new topic. In [2], the experimental results based on the plate solid bridges show that the distance between the bridge feet has a profound effect on the overall response of a violin. Some theoretical models have been developed to predict the bridge mobility in the literature [4,5]. The model prediction is in fairly good agreement with the experimental findings published in the literature. Finite element analysis was used for modal analysis of violin bridges for investigating the effect of wood removal on the bridge in-plane and out-of-plane vibrating modes [7]. In this paper the mobility of an isolated bridge is studied numerically and experimentally on the basis of the dynamic contact vibration model. The impact of the contact stiffness on the bridge mobility is investigated
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