Dynamics of an elastic cable carrying a moving mass particle
| Author | Al-Qassab, Muhammad S. Ali | |
|---|---|---|
| metadata.dc.contributor.department | College of the Illinois Institute of Technology | |
| metadata.dc.date.accessioned | 2026-09-20T15:53:17Z | |
| Publication date | 1999 | |
| Degree level | Doctoral | |
| Abstract | Abstract : The dynamic behavior of an elastic catenary cable due to a moving mass along its length is investigated. The equations of motions are derived using the Hamil-ton's principle for general cable supports that include the horizontal and inclined cables with small and large sags and for variable velocity of the moving mass. These equations of motions are in general nonlinear partial differential equations due to the initial curvature of the cable. The solution of these equations is not feasible using a harmonic motion solution as it is the case for the free vibrations of cables. The reason is the presence of the nonhomogenous terms that appear in the equations of motions and because of the presence of the Coriolis terms, due to the moving mass. There-fore, we used the Galerkin procedure with sine function (Fourier representation) and anti-derivative functions of the compactly supported wavelets as trial basis and direct integration methods to integrate the discretized equations of motion. Two models are obtained, namely linear and nonlinear models. The linear model requires less computations and faster in simulation than the nonlinear model. Though, the linear model is suitable only for small sag-to-span ratios, small mass ratios of the moving mass to the mass of the cable and for small mass velocities. The nonlinear model is applicable to general cable configuration and moving mass specifications. Comparisons are given between the Fourier and wavelets representations and between the linear and nonlinear models by means of examples. | |
| metadata.dc.identifier.other | Drupal node 4333 | |
| metadata.dc.identifier.other | https://digitalrepository.uob.edu.bh/en/dar/dynamics-elastic-cable-carrying-moving-mass-particle | |
| metadata.dc.identifier.uri | http://165.227.56.122/handle/123456789/7400 | |
| Language | en | |
| Link | https://digitalrepository.uob.edu.bh/en/_flysystem/fedora/2025-08/001762_dynamics_of_an_elastic_cable_carrying_a_moving_mass_particle.pdf | |
| Subject | Cables--Vibration--Dissertations | |
| Subject | Dynamics--Dissertations | |
| Subject | Vibration--Dissertations | |
| Title | Dynamics of an elastic cable carrying a moving mass particle | |
| Type | Doctoral Dissertation |
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