Arched beams of Bresse type: observability and application in thermoelasticity

• Published in: Nonlinear dynamics Vol. 103; no. 3; pp. 2365 - 2390
• Main Authors: Moraes, Gabriel E. Bittencourt, Silva, Marcio A. Jorge
• Format: Journal Article
• Language: English
• Published: Dordrecht Springer Netherlands 01.02.2021; Springer Nature B.V
• Subjects: Automotive Engineering; Boundary conditions; Classical Mechanics; Control; Decay rate; Dynamical Systems; Engineering; Mechanical Engineering; Original Paper; Polynomials; Stability; Thermoelasticity; Vibration; 35E15; 74F05; 74K10; Stability; 35B35; Optimality; Thermoelasticity; Bresse system; 35Q74; 80M35

This is the first paper of a trilogy intended by the authors in what concerns a unified approach to the stability of thermoelastic arched beams of Bresse type under Fourier’s law. Our main goal in this starting work is to develop an original observability inequality for conservative Bresse systems w...