On a Laminated Timoshenko Beam with Nonlinear Structural Damping
Tijani A. Apalara, Aminu M. Nass, Hamdan Al Sulaimani
Abstract
In the present work, we study a one-dimensional laminated Timoshenko beam with a single nonlinear structural damping due to interfacial slip. We use the multiplier method and some properties of convex functions to establish an explicit and general decay result. Interestingly, the result is established without any additional internal or boundary damping term and without imposing any restrictive growth assumption on the nonlinear term, provided the wave speeds of the first equations of the system are equal.
Topics & Concepts
Nonlinear systemTimoshenko beam theoryTerm (time)Boundary value problemBeam (structure)Multiplier (economics)Work (physics)Regular polygonMathematical analysisSlip (aerodynamics)MathematicsPhysicsStructural engineeringEngineeringGeometryQuantum mechanicsEconomicsThermodynamicsMacroeconomicsStability and Controllability of Differential EquationsAdvanced Mathematical Modeling in EngineeringNonlinear Dynamics and Pattern Formation