Chaotic vibrations of 3D linear hyperbolic PDEs with linear perturbations of superlinear boundary conditions

2021 ◽  
pp. 125743
Author(s):  
Qigui Yang ◽  
Qiaomin Xiang
Keyword(s):  
Boundary Conditions ◽  
Hyperbolic Pdes ◽  
Chaotic Vibrations ◽  
Linear Perturbations

Finite element simulation of chaotic vibrations of a beam with non-linear boundary conditions

1993 ◽  
Vol 49 (4) ◽  
pp. 589-596 ◽  
Author(s):  
R.I.K. Moorthy ◽  
A. Kakodkar ◽  
H.R. Srirangarajan ◽  
S. Suryanarayan
Keyword(s):  
Finite Element ◽  
Boundary Conditions ◽  
Finite Element Simulation ◽  
Linear Boundary ◽  
Chaotic Vibrations ◽  
Element Simulation ◽  
Non Linear

Locally isotropic gravastars with cylindrical spacetime

2019 ◽  
Vol 28 (09) ◽  
pp. 1950123 ◽  
Author(s):  
M. Z. Bhatti ◽  
Z. Yousaf ◽  
M. Ajmal
Keyword(s):  
Boundary Conditions ◽  
Noncommutative Geometry ◽  
Thin Shell ◽  
Cylindrically Symmetric ◽  
Linear Perturbations ◽  
Set Up ◽  
The Stability

This paper is aimed to set up a thin-shell gravastar model and address its physically accepted features in the background of noncommutative geometry. For this purpose, we have considered the cylindrically symmetric interior metric matched with suitable noncommutative exterior geometry using Israel boundary conditions. The stability of this thin-shell as well as thermodynamical stability is then explored under linear perturbations around the throat. We have found the stable regions near the horizon with some specific values of the involved parameters.

scholarly journals Mathematical model of dissipative parametric vibrations of flexible plates with nonhomogeneous boundary conditions

2006 ◽  
Vol 2006 ◽  
pp. 1-16 ◽  
Author(s):  
J. Awrejcewicz ◽  
V. A. Krysko ◽  
T. Moldenkova
Keyword(s):  
Mathematical Model ◽  
Boundary Conditions ◽  
Fourth Order ◽  
Continuous System ◽  
Parametric Vibrations ◽  
Chaotic Vibrations ◽  
Nonhomogeneous Boundary ◽  
Finite Approximations ◽  
Flexible Plates ◽  
Nonhomogeneous Boundary Conditions

In this work, parametric vibrations of flexible squared plates with changeable boundary conditions along their contours are studied. The known T. von Kármán equations serve as a mathematical model. This continuous system is reduced to a discrete one through the method of finite approximations ofO(h4)order, which is solved further by the fourth-order Runge-Kutta technique. New scenarios of transition from harmonic to chaotic vibrations are reported.

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