scholarly journals Mathematical modeling for estimation of acoustic radiation from clamped free tapered annular circular plate having different parabolically varying thickness

2018 ◽  
Vol 21 ◽  
pp. 161-167 ◽  
Author(s):  
Abhijeet Chatterjee ◽  
Vinayak Ranjan ◽  
Mohammad Sikandar Azam
Keyword(s):  
Mathematical Modeling ◽  
Circular Plate ◽  
Acoustic Radiation ◽  
Varying Thickness

scholarly journals Investigation on Structural Analysis of Flat Head Piston

2021 ◽  
Vol 9 (11) ◽  
pp. 1440-1444
Keyword(s):  
Mathematical Modeling ◽  
Cast Iron ◽  
Structural Analysis ◽  
Circular Plate ◽  
Mathematical Analysis ◽  
Flexural Rigidity ◽  
Axial Loads ◽  
Ansys Software ◽  
Simply Supported ◽  
Grey Cast

In the investigation on structural analysis of flat head piston deflection and stress equations plays major role in mathematical modeling. The same has been used in this analysis. In the part of the analysis the thickness of the flat head of the piston is considered as the same of that of simply supported circular plate and the loads are applied on it reacts with the supports held at the top of the gudgeon hole. The piston is same as one side closed cylinder and ended with flat circular plate. It is the most general that the deflections due to axial loads are neglected. Hence the deflection and stress equations of the simply supported circular plate are adopted. Aluminum is taken as material of the component throughout the analysis and grey cast iron is taken as material for the rings in the modeling of the piston. Flexural rigidity plays a major role in the calculation for the analysis. The results of the mathematical analysis have been compared with the same of that of simulation using ANSYS software.

Acoustic and Vibration Characteristics of Finite Cylindrical Shell-Circular Plate Based on Lagrange Equations

2013 ◽  
Vol 302 ◽  
pp. 401-405
Author(s):  
Qi Zheng Zhou ◽  
De Shi Wang ◽  
Shu Yang
Keyword(s):  
Cylindrical Shell ◽  
Boundary Conditions ◽  
Circular Plate ◽  
Acoustic Radiation ◽  
Vibration Characteristics ◽  
Finite Cylinder ◽  
Lagrange Equations ◽  
Coupling Conditions ◽  
Set Up ◽  
Finite Cylindrical Shell

An analysis based on Lagrange equations was presented for acoustic and vibration characteristics of finite cylindrical shell-circular plate underwater. The boundary conditions and coupling conditions between the shell and plate expressed using springs, the model of finite shell with circular plate was set up. Considering the elastic potential energy in springs and the work due to fluid loading, the vibro-acoustic equations of finite cylinder with circular plate under excitation were established by Lagrange equations. The influences of boundary conditions and coupling conditions to the acoustic and vibration characteristics were researched. The results show that . The results could be used to control the underwater vehicle’s vibration and acoustic radiation.

scholarly journals Theoretical and Numerical Estimation of Vibroacoustic Behavior of Clamped Free Parabolic Tapered Annular Circular Plate with Different Arrangement of Stiffener Patches

2018 ◽  
Vol 8 (12) ◽  
pp. 2542 ◽  
Author(s):  
Abhijeet Chatterjee ◽  
Vinayak Ranjan ◽  
Mohammad Azam ◽  
Mohan Rao
Keyword(s):  
Circular Plate ◽  
Acoustic Radiation ◽  
Power Level ◽  
Radiation Efficiency ◽  
Thickness Variation ◽  
Sound Power ◽  
The Finite Element Method ◽  
Acoustic Response ◽  
Sound Power Level ◽  
Design Options

This paper compares the vibroacoustic behavior of a tapered annular circular plate having different parabolic varying thickness with different combinations of rectangular and concentric stiffener patches keeping the mass of the plate and the patch constant for a clamped-free boundary condition. Both numerical and analytical methods are used to solve the plate. The finite element method (FEM) is used to determine the vibration characteristic and both Rayleigh integral and FEM is used to determine the acoustic behavior of the plate. It is observed that a Case II plate with parabolic decreasing–increasing thickness variation for a plate with different stiffener patches shows reduction in frequency parameter in comparison to other cases. For acoustic response, the variation of peak sound power level for different combinations of stiffener patches is investigated with different taper ratios. It is investigated that Case II plate with parabolic decreasing–increasing thickness variation for an unloaded tapered plate as well as case II plate with 2 rectangular and 4 concentric stiffeners patches shows the maximum sound power level among all variations. However, it is shown that the Case III plate with parabolically increasing–decreasing thickness variation with different combinations of rectangular and concentric stiffeners patches is least prone to acoustic radiation. Furthermore, it is shown that at low forcing frequency, average radiation efficiency with different combinations of stiffeners patches remains the same, but at higher forcing frequency a higher taper ratio causes higher radiation efficiency, and the radiation peak shifts towards the lower frequency and alters its stiffness as the taper ratio increases. Finally, the design options for peak sound power actuation and reduction for different combinations of stiffener patches with different taper ratios are suggested.

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