A general and optimal stability result for a laminated beam
Soh Edwin Mukiawa, Tijani A. Apalara, Salim A. Messaoudi
Abstract
We consider a thermoelastic laminated beam with a finite memory acting on the effective rotation angle. We establish an explicit and optimal stability estimate for the solution energy with minimal conditions on the relaxation function, from which the exponential and polynomial stability are just particular cases. This new result improves substantially many earlier results in the literature.
Topics & Concepts
Thermoelastic dampingMathematicsStability (learning theory)Beam (structure)Relaxation (psychology)PolynomialRotation (mathematics)Function (biology)Applied mathematicsMathematical analysisGeometryStructural engineeringComputer sciencePhysicsThermodynamicsEvolutionary biologyThermalEngineeringPsychologyBiologySocial psychologyMachine learningAdvanced Mathematical Modeling in EngineeringStability and Controllability of Differential EquationsElasticity and Material Modeling