Solution to the problem of a mass traveling on a taut string via integral equation

DOI10.1155/2019/6915629zbMath1458.74054OpenAlexW2934542501MaRDI QIDQ2425093

Angelo Luongo, Manuel Ferretti

Publication date: 26 June 2019

Published in: Advances in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2019/6915629

zbMATH Keywords

Galerkin methodLagrange multipliervariational formulationVolterra equation

Mathematics Subject Classification ID

Numerical approximation of solutions of dynamical problems in solid mechanics (74H15) Strings (74K05) Energy minimization in dynamical problems in solid mechanics (74H80)

Related Items (1)

Semi-analytical approaches for the nonlinear dynamics of a taut string subject to a moving load

Cites Work

• Dynamic modeling of taut strings carrying a traveling mass
• Dynamics of taut strings traveled by train of forces
• Numerical analysis of vibrations of structures under moving inertial load.
• Paradox of a particle's trajectory moving on a string
• 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
• Assessing dynamic response of multispan viscoelastic thin beams under a moving mass via generalized moving least square method
• A revisitation of the paradox of discontinuous trajectory for a mass particle moving on a taut string
• On the limitations of linear beams for the problems of moving mass-beam interaction using a meshfree method
• Space-time approach to numerical analysis of a string with a moving mass
• Response of a String to an Accelerating Mass
• Motions of a Stretched String Carrying a Moving Mass Particle

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