Concepedia

Exponential stabilization of the full von Kármán beam by a thermal effect and a frictional damping and distributed delay

Lamine Bouzettouta, Abdelhak Djebabla

Journal of Mathematical Physics · 2019 · 16 citations · 21 references

DOI

Concepts

Abstract

The one-dimensional full von Kármán beam is stabilized using the dissipative effect through heat conduction acting on the longitudinal component and the frictional damping acting on the transversal component of the beam.

References

21

Thermoelasticity without energy dissipation

Anne Green, P. M. Naghdi · Journal of Elasticity · 1993 · 2.2K citations

, , +8

ON UNDAMPED HEAT WAVES IN AN ELASTIC SOLID

A. E. Green, P. M. Naghdi · Journal of Thermal Stresses · 1992 · 1.5K citations

, , +17

A re-examination of the basic postulates of thermomechanics

Albert Edward Green, P. M. Naghdi · Proceedings of the Royal Society of London Series A Mathematical and Physical Sciences · 1991 · 1.3K citations

Stability and Instability Results of the Wave Equation with a Delay Term in the Boundary or Internal Feedbacks

Serge Nicaise, Cristina Pignotti · SIAM Journal on Control and Optimization · 2006 · 629 citations

, , +9

An Example on the Effect of Time Delays in Boundary Feedback Stabilization of Wave Equations

Richard Datko, John E. Lagnese, Michael P. Polis · SIAM Journal on Control and Optimization · 1986 · 550 citations

, , +8