| DOI | Resolve DOI: https://doi.org/10.1006/jsvi.1997.1441 |
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| Author | Search for: Tong, X.1; Search for: Mrad, N.2; Search for: Tabarrok, B. |
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| Affiliation | - National Research Council Canada. NRC Centre for Surface Transportation Technology
- National Research Council Canada. NRC Institute for Aerospace Research
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| Format | Text, Article |
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| Abstract | Free and forced in-plane vibrations of circular arches with variable cross-sections are investigated. Using the Kirchhoff assumptions for thin beams and taking the neutral axis as inextensible, a closed form solution is obtained for circular arches of uniform cross-section. This exact solution is used for circular arches with stepped cross-sections and is applied to obtain an approximate solution for arches with non-uniform cross-sections. For free vibration, an analytic form of frequency equation is obtained by using the general solution expressed in terms of some initial parameters at one end of the arch; while for forced vibration, the system's response is obtained analytically by solving a set of algebraic equations with only three unknowns. Several examples are presented to illustrate the validity and accuracy of the method. |
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| Publication date | 1998-04-23 |
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| In | |
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| Language | English |
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| NRC number | SMPL-1997-0024 |
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| NPARC number | 8930831 |
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| Export citation | Export as RIS |
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| Report a correction | Report a correction (opens in a new tab) |
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| Record identifier | 4cddba71-60ce-40c4-aeab-380bf569ad8a |
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| Record created | 2009-04-23 |
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| Record modified | 2020-03-20 |
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