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Analytical solution for bending vibration of a thin-walled cylinder rolling on a time-varying force
| Content Provider | Semantic Scholar |
|---|---|
| Author | Bot, A. Le Duval, Gregor Klein, Pauline Lelong, Jérôme |
| Copyright Year | 2018 |
| Abstract | This paper presents the analytical solution of radial vibration of a rolling cylinder submitted to a time-varying point force. In the simplest situation of simply supported edges and zero in-plane vibration, the cylinder is equivalent to an orthotropic pre-stressed plate resting on a visco-elastic foundation. We give the closed-form solution of vibration as a series of normal modes whose coefficients are explicitly calculated. Cases of both deterministic and random forces are examined. We analyse the effect of rolling speed on merging of vibrational energy induced by Doppler's effect for the example of rolling tyre. |
| Starting Page | 157 |
| Ending Page | 170 |
| Page Count | 14 |
| File Format | PDF HTM / HTML |
| PubMed reference number | 30109107v1 |
| Alternate Webpage(s) | https://doi.org/10.1098/rsos.180639 |
| DOI | 10.1098/rsos.180639 |
| Journal | Royal Society open science |
| Volume Number | 5 |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Arabic numeral 0 Decompression Sickness Rest |
| Content Type | Text |
| Resource Type | Article |
