Abstract
We study the vibration of slender one-dimensional elastic structures (beams, cables, wires, rods) under the effect of a moving mass or load. We first consider the classical small- deflection (Euler-Bernoulli) beam case, where we look at tip vibrations of a cantilever as a model for a barreled launch system. Then we develop a theory for large deformations based on Cosserat rod theory. We illustrate the effect of moving loads on large-deformation structures with a few cable and arch problems. Large deformations are found to have a resonance detuning effect on the cable. For the arch we find different failure modes depending on its depth: a shallow arch fails by in-plane collapse, while a deep arch fails by sideways flopping. In both cases the speed of the traversing load is found to have a stabilising effect on the structure, with failure suppressed entirely at sufficiently high speed.
Highlights
The problem of a continuously distributed system carrying a moving concentrated mass has broad applications in mechanics and engineering, including space tethers, satellite antennas, launch systems, robotic arms [1], cranes, flexible manipulators [2], high-speed train railroads and highway bridges with moving vehicles [3]
The classical example of a moving mass problem is the idealisation of a vehicle-bridge system
In this case the moving vehicle is usually treated as a moving force, or load, of constant magnitude, while the bridge is modelled as a -supported beam. This problem is more accurately described as a moving load problem [3]
Summary
This content has been downloaded from IOPscience. Please scroll down to see the full text. Ser. 721 012016 (http://iopscience.iop.org/1742-6596/721/1/012016) View the table of contents for this issue, or go to the journal homepage for more. Download details: IP Address: 128.40.92.82 This content was downloaded on 22/06/2016 at 19:01 Please note that terms and conditions apply
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