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Wave Propagation in the Viscoelastic Functionally Graded Cylindrical Shell Based on the First-Order Shear Deformation
Yunying Zhou1, Dongying Liu2, Dinggui Hou1
1Department of Architectural Engineering, North China Institute of Aerospace Engineering, Langfang 065000, China.
This study models longitudinal wave propagation in viscoelastic orthotropic cylindrical shells using first-order shear deformation theory (FSDT) and a Kelvin-Voigt model, providing insights into wave behavior in composite structures.
Area of Science:
- Solid Mechanics
- Materials Science
- Acoustics
Background:
- Understanding wave propagation in composite structures is crucial for their design and performance.
- Viscoelasticity and orthotropic properties significantly influence wave dynamics.
Purpose of the Study:
- To derive and solve the wave equation for longitudinal guide waves in viscoelastic orthotropic cylindrical shells.
- To investigate the effects of various parameters on wave propagation characteristics.
Main Methods:
- Application of the first-order shear deformation theory (FSDT).
- Utilizing the Kelvin-Voigt viscoelastic model.
- Analytical solution of the derived wave equation.
- Numerical computation of phase velocity and attenuation coefficients.
Main Results:
- Validation of the analytical model against existing literature for elastic shells.
- Calculation of phase velocity and attenuation curves for functionally graded (FG) shells.
- Analysis of the influence of viscoelastic parameters, material gradients, volume fractions, and size ratios.
Conclusions:
- The study provides a theoretical framework for modeling wave propagation in inhomogeneous viscoelastic composite structures.
- The findings offer a basis for optimizing the performance of composite structures and ultrasonic devices.
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