scholarly journals Stabilization of Berger–Timoshenko's equation as limit of the uniform stabilization of the von Kármán system of beams and plates

2002 ◽  
Vol 36 (4) ◽  
pp. 657-691 ◽  
Author(s):  
G. Perla Menzala ◽  
Ademir F. Pazoto ◽  
Enrique Zuazua
Keyword(s):  
Uniform Stabilization ◽  
Von Karman ◽  
Von Kármán System ◽  
Von Kármán

scholarly journals Decay rates of solutions to a von Kármán system for viscoelastic plates with memory

1999 ◽  
Vol 57 (1) ◽  
pp. 181-200 ◽  
Author(s):  
Jaime E. Muñoz Rivera ◽  
Gustavo Perla Menzala
Keyword(s):  
Decay Rates ◽  
Von Karman ◽  
Von Kármán System ◽  
Von Kármán ◽  
With Memory

On two matrix-free continuation approaches for the determination of the bifurcation diagram of the von Kármán system

2004 ◽  
Vol 13 (1-2) ◽  
pp. 141-164
Author(s):  
Kokou Dossou ◽  
Jean-Jacques Gervais ◽  
Roger Pierre ◽  
Hassan Sadiky
Keyword(s):  
Bifurcation Diagram ◽  
Von Karman ◽  
Von Kármán System ◽  
Von Kármán ◽  
Matrix Free

General decay to a von Kármán system with memory

2011 ◽  
Vol 74 (3) ◽  
pp. 937-945 ◽  
Author(s):  
C.A. Raposo ◽  
M.L. Santos
Keyword(s):  
General Decay ◽  
Von Karman ◽  
Von Kármán System ◽  
Von Kármán ◽  
With Memory

Timoshenko's beam equation as limit of a nonlinear one-dimensional von Kármán system

2000 ◽  
Vol 130 (4) ◽  
pp. 855-875 ◽  
Author(s):  
G. Perla Menzala ◽  
E. Zuazua
Keyword(s):  
Boundary Condition ◽  
Boundary Conditions ◽  
Weak Limit ◽  
Beam Equation ◽  
Limit System ◽  
One Dimensional ◽  
Various Boundary Conditions ◽  
Von Karman ◽  
Von Kármán System ◽  
Von Kármán

We consider a dynamical one-dimensional nonlinear von Kármán model depending on one parameter ε > 0 and study its weak limit as ε → 0. We analyse various boundary conditions and prove that the nature of the limit system is very sensitive to them. We prove that, depending on the type of boundary condition we consider, the nonlinearity of Timoshenko's model may vanish.

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