Memory-type boundary control of a laminated Timoshenko beam
Baowei Feng, Abdelaziz Soufyane
Abstract
In this paper, we consider a laminated Timoshenko beam with boundary conditions of a memory type. This structure is given by two identical uniform layers, one on top of the other, taking into account that an adhesive of small thickness bonds the two surfaces and produces an interfacial slip. Under the assumptions of wider classes of kernel functions, we establish an optimal explicit energy decay result. The stability result is more general than previous works and hence improves earlier results in the literature.
Topics & Concepts
Timoshenko beam theorySlip (aerodynamics)Boundary value problemType (biology)Beam (structure)Boundary (topology)MathematicsMathematical analysisKernel (algebra)Materials scienceStructural engineeringPhysicsPure mathematicsEngineeringEcologyBiologyThermodynamicsStability and Controllability of Differential EquationsAdvanced Mathematical Modeling in EngineeringVibration and Dynamic Analysis