A revisitation of the paradox of discontinuous trajectory for a mass particle moving on a taut string

DOI10.1007/s11071-016-3080-yzbMath1371.74160OpenAlexW2527672655MaRDI QIDQ2407605

Giuseppe Piccardo, Angelo Luongo, Serge N. Gavrilov, Victor A. Eremeyev

Publication date: 6 October 2017

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-016-3080-y

zbMATH Keywords

nonlinear couplingtraveling masstaut stringdiscontinuity trajectory paradoxwave pressure force

Mathematics Subject Classification ID

Constrained dynamics, Dirac's theory of constraints (70H45) Strings (74K05)

Related Items (6)

Solution to the problem of a mass traveling on a taut string via integral equation ⋮ Nonlinear dynamics of uniformly loaded Elastica: Experimental and numerical evidence of motion around curled stable equilibrium configurations ⋮ Weakly nonlinear dynamics of taut strings traveled by a single moving force ⋮ Semi-analytical approaches for the nonlinear dynamics of a taut string subject to a moving load ⋮ Nonlinear planar modeling of massive taut strings travelled by a force-driven point-mass ⋮ A targeted review on large deformations of planar elastic beams: extensibility, distributed loads, buckling and post-buckling

Cites Work

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• Soft-impact dynamics of deformable bodies
• Buckling of an elastic hemispherical shell with an obstacle
• Dynamic modeling of taut strings carrying a traveling mass
• Isogeometric analysis: a powerful numerical tool for the elastic analysis of historical masonry arches
• Dynamics of taut strings traveled by train of forces
• The momentum of waves and their effect on the motion of lumped objects along one-dimensional elastic systems
• Numerical analysis of vibrations of structures under moving inertial load.
• Vibration analysis of non-linear 6-parameter prestressed shells
• Paradox of a particle's trajectory moving on a string
• The laws of variation of energy and momentum for one-dimensional systems with moving mountings and loads
• The resistance to the motion of loads along elastic directions caused by the radiation of waves in them
• Dynamics of an elastic cable carrying a moving mass particle
• Nonlinear investigation of the possibility to exceed the critical speed by a load on a string.
• Modelling and transient planar dynamics of suspended cables with moving mass
• Nonlinear stability analysis of pre-stressed elastic bodies.
• Configuration forces as basic concepts of continuum physics
• The analytical solutions for the wave propagation in a stretched string with a moving mass
• Linear stability of piezoelectric-controlled discrete mechanical systems under nonconservative positional forces
• A paradigmatic minimal system to explain the Ziegler paradox
• An isogeometric implicit \(G^1\) mixed finite element for Kirchhoff space rods
• A one-dimensional continuum with microstructure for single-wall carbon nanotubes bifurcation analysis
• Truss Modular Beams with Deformation Energy Depending on Higher Displacement Gradients
• Circuit analog of a beam and its application to multimodal vibration damping, using piezoelectric transducers
• NON-STATIONARY PROBLEMS IN DYNAMICS OF A STRING ON AN ELASTIC FOUNDATION SUBJECTED TO A MOVING LOAD
• Motions of a Stretched String Carrying a Moving Mass Particle
• Piezoelectric Passive Distributed Controllers for Beam Flexural Vibrations
• Nonlinear problems of elasticity

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