Instability analysis of vibrations of a uniformly moving mass in one- and two-dimensional elastic systems

DOI10.1016/S0997-7538(01)01186-XzbMath1005.74031MaRDI QIDQ1613142

R. Smith

Publication date: 5 September 2002

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

zbMATH Keywords

instabilityTimoshenko beamKirchhoff plateMindlin plateconservation of energycharacteristic equationEuler-Bernoulli beamvertical vibrationsconservation of momentumanomalous Doppler wavefundamental solution approachlinear elastic foundationmass kinetic energynormal Doppler waveuniformly moving mass

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Stability of dynamical problems in solid mechanics (74H55)

Related Items (4)

The transient dynamics of a moving accelerating/decelerating mass traveling on a periodic-array non-homogeneous composite beam ⋮ Self-adaptive vibration control of simply supported beam under a moving mass using self-recurrent wavelet neural networks via adaptive learning rates ⋮ Application of active piezoelectric patches in controlling the dynamic response of a thin rectangular plate under a moving mass ⋮ Exploiting internal resonance for vibration suppression and energy harvesting from structures using an inner mounted oscillator

Cites Work

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• 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
• A uniformly moving constant load along a Winkler supported strip
• INSTABILITY OF VIBRATIONS OF A MASS MOVING UNIFORMLY ALONG AN AXIALLY COMPRESSED BEAM ON A VISCOELASTIC FOUNDATION

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