BOUNDARY STABILIZATION FOR THE EXTENSIBLE BEAM WITH ATTACHED LOAD

DOI10.1142/S0218202599000191zbMath0943.93050MaRDI QIDQ4270570

Marié Grobbelaar-Van Dalsen, A. J. van der Merwe

Publication date: 22 November 1999

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

exponential stabilitynonlinearityboundary stabilizationdynamical boundary conditionextensible beamvibrations of a beamattached load

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Control, switches and devices (``smart materials) in solid mechanics (74M05) Control/observation systems governed by partial differential equations (93C20) Stabilization of systems by feedback (93D15) Vibrations in dynamical problems in solid mechanics (74H45)

Related Items (10)

Analysis of the Solvability of Linear Vibration Models ⋮ A Timoshenko beam with tip body and boundary damping ⋮ Application of the finite element method to the vibration of a rectangular plate with elastic support at the boundary ⋮ Existence and exponential stability of a damped wave equation with dynamic boundary conditions and a delay term ⋮ Asymptotic stability and blow up for a semilinear damped wave equation with dynamic boundary conditions ⋮ Attractors and their properties for a class of nonlocal extensible beams ⋮ Energy decay and blow-up of solution for a Kirchhoff equation with dynamic boundary condition ⋮ Long-time behavior of a model of extensible beams with nonlinear boundary dissipations ⋮ Thermal effects in a two-dimensional hybrid elastic structure. ⋮ Uniform stability for the Timoshenko beam with tip load

Cites Work

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