Comparison for the Effect of Different Attachment of Point Masses on Vibroacoustic Behavior of Parabolic Tapered Annular Circular Plate

Abstract

In this paper, a comparison for the effect of different arrangement of point masses on vibroacoustic behavior of parabolic tapered annular circular plate with different taper ratios are analyzed by keeping the total mass of the plate plus point masses constant. Three different arrangement of thickness variation are considered. The mathematical tool FEM using ANSYS is used to determine the vibration characteristic and both FEM and Rayleigh integral is used to determine the acoustic behavior of the plate. Further, Case II plate (parabolic decreasing increasing thickness variation) for all combination of point masses is found to have reduction in natural frequency parameter in comparison to other cases of parabolic tapered plate. In terms of acoustic behavior, sound power levels of different cases of plate with different point mass combination are observed. It is observed that the Case II plate with two point masses combination shows the highest sound power and the Case III plate for all cases of point mass combination is least prone to acoustic behavior. Furthermore, It is observed that at low forcing frequency average radiation efficiency of parabolic tapered plate for different arrangement of point masses is almost same, but at high forcing frequency average radiation increases for higher taper ratio. Finally, a brief discussion of peak sound power reduction and actuation for different arrangement of point masses with different taper ratios are provided.

Special Issue on Modelling, Simulation and Data Analysis in Acoustical Problems

“…Vibration and vibroacoustic studies are presented in [16][17][18][19], by Chatterhee et al, Wu et al and Qian et al, with applications to parabolic tapered annular circular plate (Chatterhee et al 2018 and 2019) and sensorized prodder for landmine detection (Wu et al). Also, Flückiger et al studies the vibrations, but referred to piano keys and their influence on piano players' perception and performance [20].…”

Two-Dimensional Damage Localization Using a Piezoelectric Smart Aggregate Approach—Implementation on Arbitrary Shaped Concrete Plates

“…Several different methods were used to model wave propagation including (1) a boundary element method [42]; (2) a finite difference method [43]; (3) a global matrix method [44]; (4) a mass-spring lattice method-MSLM [45]; (5) a mesh-less method-MLM [46]; (6) a local interaction simulation approach-LISA [47]; (7) and a mesoscale finite element method [48] in order to find the most efficient way to model wave propagation. Furthermore, the application of the FEM in combination with experimental modal analysis (EMA) can be effective in vibration monitoring and control as well as in the dynamic analysis of structures [49,50]. The most common numerical approach for modeling wave propagation is certainly the finite element method (FEM).…”