Mechanical behavior of air fluid on musical instrument components: Application of numerical solution and theoretical framework on structural performance

The stability performance of the components in musical stringed instruments is crucial regarding sound quality and durability. In this framework, such stability is studied theoretically by the approach of numerical solution. Numerical method is used to analyze buckling of embedded sinusoidal piezoelectric beam. Smart beam is subjected to external voltage in the thickness direction. By considering the beam model of the structural elements of instruments, through proper development, the analysis develops more advanced deformation theories that can grasp these complicated behaviors of resonance and performance. The structure was modeled by sinusoidal shear deformation theory, and by using the energy method, the final governing equations were derived on the basis of the piezo-elasticity theory. Numerical methods used give an insight into the most important factors of influence that provoke stability loss of these components in different conditions of loading and vibration. The results are obtained also to illustrate how structural optimization and material properties affect the overall performance of a musical instrument, therefore giving guidelines on the enhancement of their acoustic features and durability.