Instability of vibrations of an oscillator moving along a beam on an elastic half-space

DOI10.1016/S0997-7538(99)80020-5zbMath0945.74031MaRDI QIDQ1302551

Karl Karl Popp, Andrei V. Metrikine

Publication date: 8 October 2000

Published in: European Journal of Mechanics. A. Solids (Search for Journal in Brave)

zbMATH Keywords

elastic half-spaceinstability zonesequivalent stiffnessnegative viscosityoscillator moving along beamstability of vertical vibrations

Mathematics Subject Classification ID

Stability of dynamical problems in solid mechanics (74H55) Thin bodies, structures (74K99)

Related Items (6)

Semi-analytical analysis of vibrations induced by a mass traversing a beam supported by a finite depth foundation with simplified shear resistance ⋮ Fast computation of an infinite, longitudinally-varying and harmonic strip load acting on a viscoelastic half-space ⋮ A study on a coupled model of a SDOF oscillator moving along an Euler beam on a viscoelastic half-space with variable speed ⋮ Instability of an oscillator moving along a Timoshenko beam on viscoelastic foundation ⋮ Dynamic response of an infinite Timoshenko beam on a nonlinear viscoelastic foundation to a moving load ⋮ On the parametric excitation of a Timoshenko beam due to intermittent passage of moving masses: instability and resonance analysis

Cites Work

• On the stability of a Timoshenko beam on an elastic foundation under a moving spring-mass system
• On the problem of the stability of one-dimensional unbounded elastic systems
• An axially stressed railroad track on an elastic continuum subjected to a moving load
• INSTABILITY OF VIBRATIONS OF A MASS MOVING UNIFORMLY ALONG AN AXIALLY COMPRESSED BEAM ON A VISCOELASTIC FOUNDATION
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