Energy-Flux Analysis of the Bending Waves in an Infinite Cylindrical Shell Filled with Acoustical Fluid

2017 ◽  
pp. 57-64
Author(s):  
George V. Filippenko
Keyword(s):  
Cylindrical Shell ◽  
Energy Flux ◽  
Flux Analysis ◽  
Bending Waves ◽  
Infinite Cylindrical Shell

scholarly journals Axisymmetric Longitudinal-Bending Waves in a Cylindrical Shell Interacting with a Nonlinear Elastic Medium

2016 ◽  
Vol 2016 ◽  
pp. 1-7 ◽  
Author(s):  
Alexander I. Zemlyanukhin ◽  
Andrey V. Bochkarev ◽  
Lev I. Mogilevich ◽  
Ekaterina G. Tindova
Keyword(s):  
Cylindrical Shell ◽  
Elastic Medium ◽  
Numerical Solutions ◽  
Bending Waves ◽  
Nonlinear Elastic Medium ◽  
Longitudinal Bending ◽  
Infinite Cylindrical Shell ◽  
Nonlinear Elastic ◽  
Traveling Pulse ◽  
Good Agreement

A nonlinear differential equation is derived which describes the propagation of axisymmetric stationary longitudinal-bending waves in infinite cylindrical shell of Timoshenko type, interacting with the external nonlinear elastic medium. A modified perturbation method based on the use of diagonal Pade approximants was applied to build exact solitary-wave solutions of the derived equation in the form of traveling front and the traveling pulse. Numerical solutions of the equation, obtained by means of finite difference method, are in good agreement with the corresponding exact analytical ones.

Power Flow and Sound Radiation of a Submerged Cylindrical Shell with Internal Structural

2011 ◽  
Vol 105-107 ◽  
pp. 321-325 ◽  
Author(s):  
Jin Yan ◽  
Juan Zhang
Keyword(s):  
Cylindrical Shell ◽  
Power Flow ◽  
Coupled System ◽  
Engineering Practice ◽  
Coupling Condition ◽  
Space Harmonics ◽  
In Series ◽  
Infinite Cylindrical Shell ◽  
Radiated Sound ◽  
Vibrational Power Flow

The vibrational power flow in a submerged infinite cylindrical shell with internal rings and bulkheads are studied analytically. The harmonic motion of the shell and the pressure field in the fluid is described by Flügge shell theory and Helmholtz equation, respectively. The coupling condition on the outer surface of the shell wall is introduced to obtain the vibrational equation of this coupled system. Both four kinds of forces (moments) between rings and shell and between bulkheads and shell are considered. The solution is obtained in series form by expanding the system responses in terms of the space harmonics of the spacing of both ring stiffeners and bulkheads. The vibrational power flow and radiated sound power are obtained and the influences of various complicating effects such as the ring, bulkhead and fluid loading on the results are analyzed. The analytic model is close to engineering practice, which will be valuable to the application on noise and vibration control of submarines and underwater pipes.

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