Exponential stability and numerical analysis of a thermoelastic diffusion beam with rotational inertia and second sound

2021 ◽  
Vol 187 ◽  
pp. 586-613
Author(s):  
Moncef Aouadi ◽  
Maria Inês M. Copetti
Keyword(s):  
Numerical Analysis ◽  
Exponential Stability ◽  
Rotational Inertia ◽  
Second Sound ◽  
Thermoelastic Diffusion

scholarly journals Exponential Stability in Hyperbolic Thermoelastic Diffusion Problem with Second Sound

2011 ◽  
Vol 2011 ◽  
pp. 1-21 ◽  
Author(s):  
Moncef Aouadi
Keyword(s):  
Exponential Stability ◽  
Classical Theory ◽  
Hyperbolic Equations ◽  
Propagation Speed ◽  
Diffusion Problem ◽  
Second Sound ◽  
Thermoelastic Diffusion ◽  
Infinite Propagation Speed ◽  
And Diffusion ◽  
Cattaneo’S Law

We consider a thermoelastic diffusion problem in one space dimension with second sound. The thermal and diffusion disturbances are modeled by Cattaneo's law for heat and diffusion equations to remove the physical paradox of infinite propagation speed in the classical theory within Fourier's law. The system of equations in this case is a coupling of three hyperbolic equations. It poses some new analytical and mathematical difficulties. The exponential stability of the slightly damped and totally hyperbolic system is proved. Comparison with classical theory is given.

Exponential stability of a flexible structure with second sound

2019 ◽  
Vol 122 (1) ◽  
pp. 71-79 ◽  
Author(s):  
Wenjun Liu ◽  
Jiangyong Yu ◽  
Gang Li
Keyword(s):  
Exponential Stability ◽  
Flexible Structure ◽  
Second Sound

Exponential stability for nonlinear thermoelastic equations with second sound

2010 ◽  
Vol 11 (4) ◽  
pp. 2502-2513 ◽  
Author(s):  
Yuming Qin ◽  
Zhiyong Ma ◽  
Xinguang Yang
Keyword(s):  
Exponential Stability ◽  
Second Sound

Energy decay in thermoelastic diffusion theory with second sound and dissipative boundary

Meccanica ◽  
2013 ◽  
Vol 48 (9) ◽  
pp. 2159-2171 ◽  
Author(s):  
Moncef Aouadi ◽  
Barbara Lazzari ◽  
Roberta Nibbi
Keyword(s):  
Diffusion Theory ◽  
Energy Decay ◽  
Second Sound ◽  
Thermoelastic Diffusion ◽  
Dissipative Boundary

scholarly journals Research on the Impediment to Vibration Wave Propagation of Pipe from a vibration isolation mass

2019 ◽  
Vol 288 ◽  
pp. 01002
Author(s):  
Gong Yufeng ◽  
Peng Weicai ◽  
Zhang Junjie ◽  
Liu Zhizhong
Keyword(s):  
Wave Propagation ◽  
Numerical Analysis ◽  
Frequency Domain ◽  
High Frequency ◽  
Vibration Isolation ◽  
Rotational Inertia ◽  
Analysis Method ◽  
Damping Effect ◽  
Vibration Wave ◽  
Pipe Vibration

In order to control the pipe vibration, the performance of flexible connection with vibration isolation mass in impeding vibration wave propagation is studied. Based on the principle of impedance mismatching and numerical analysis method, the influences of vibration isolation mass and rotational inertia on the vibration wave propagation in pipe were discussed. The results show that the isolation mass is good at reducing the vibration of wave transmission in intermediate and high frequency domain. Meanwhile, The larger rotational inertia of the isolation mass, the better the damping effect. A useful reference was provided for the application of flexible connection to the vibration isolation and noise reduction of ship pipe.

Sign in / Sign up

Export Citation Format

Share Document