Article: 3-D vibration analysis of circular rings with sectorial cross-sections
| Title | 3-D vibration analysis of circular rings with sectorial cross-sections | ||||
|---|---|---|---|---|---|
| Authors | Zhou, D1 Cheung, YK2 Lo, SH2 | ||||
| Keywords | Chebyshev polynomials Circular ring Free vibration characteristic Linear elasticity theory Vibration analysis | ||||
| Issue Date | 2010 | ||||
| Publisher | Elsevier Ltd. The Journal's web site is located at http://www.elsevier.com/locate/jsvi | ||||
| Citation | Journal Of Sound And Vibration, 2010, v. 329 n. 9, p. 1523-1535 [How to Cite?] DOI: http://dx.doi.org/10.1016/j.jsv.2009.11.004 | ||||
| Abstract | The free vibration characteristics of circular rings with sectorial cross-section are studied based on the three-dimensional (3-D), small strain, linear elasticity theory. The complete vibration spectrum has been obtained by using the Ritz method. A set of three-dimensional orthogonal coordinates composing of the polar coordinates (r,θ) at the origin of the sectorial cross-section and circumferential coordinate φ{symbol} around the ring is developed to describe the variables in the analysis. Each of the displacement components is taken as a triplicate series: two Chebyshev polynomial series, respectively, about the r and θ coordinates, and a trigonometric series about the φ{symbol} coordinate. Frequency parameters and vibration mode shapes are computed by means of the displacement-based extremum energy principle. Upper bound convergence of the first eight frequency parameters accurate to at least five significant figures is presented. The effect of radius ratio, subtended angle, and initial slope angle on frequency parameters is investigated in detail. All major modes such as flexural modes, thickness-shear modes, stretching modes, and torsional modes, etc. are presented in the paper. The present results may serve as a benchmark reference to validate the accuracy of various approximate theories and other computational techniques for the vibration of circular rings. © 2009 Elsevier Ltd. All rights reserved. | ||||
| ISSN | 0022-460X 2011 Impact Factor: 1.588 2011 SCImago Journal Rankings: 0.071 | ||||
| DOI | http://dx.doi.org/10.1016/j.jsv.2009.11.004 | ||||
| ISI Accession Number ID | WOS:000274758700022
Funding Information: The work described in this paper was supported by the CAS membership "Structural vibrations in three-dimensional solids" from The University of Hong Kong. | ||||
| References | References in Scopus |
| dc.contributor.author | Zhou, D | ||||
|---|---|---|---|---|---|
| dc.contributor.author | Cheung, YK | ||||
| dc.contributor.author | Lo, SH | ||||
| dc.date.accessioned | 2011-09-23T05:44:53Z | ||||
| dc.date.available | 2011-09-23T05:44:53Z | ||||
| dc.date.issued | 2010 | ||||
| dc.description.abstract | The free vibration characteristics of circular rings with sectorial cross-section are studied based on the three-dimensional (3-D), small strain, linear elasticity theory. The complete vibration spectrum has been obtained by using the Ritz method. A set of three-dimensional orthogonal coordinates composing of the polar coordinates (r,θ) at the origin of the sectorial cross-section and circumferential coordinate φ{symbol} around the ring is developed to describe the variables in the analysis. Each of the displacement components is taken as a triplicate series: two Chebyshev polynomial series, respectively, about the r and θ coordinates, and a trigonometric series about the φ{symbol} coordinate. Frequency parameters and vibration mode shapes are computed by means of the displacement-based extremum energy principle. Upper bound convergence of the first eight frequency parameters accurate to at least five significant figures is presented. The effect of radius ratio, subtended angle, and initial slope angle on frequency parameters is investigated in detail. All major modes such as flexural modes, thickness-shear modes, stretching modes, and torsional modes, etc. are presented in the paper. The present results may serve as a benchmark reference to validate the accuracy of various approximate theories and other computational techniques for the vibration of circular rings. © 2009 Elsevier Ltd. All rights reserved. | ||||
| dc.description.nature | Link_to_subscribed_fulltext | ||||
| dc.identifier.citation | Journal Of Sound And Vibration, 2010, v. 329 n. 9, p. 1523-1535 [How to Cite?] DOI: http://dx.doi.org/10.1016/j.jsv.2009.11.004 | ||||
| dc.identifier.citeulike | 6212007 | ||||
| dc.identifier.doi | http://dx.doi.org/10.1016/j.jsv.2009.11.004 | ||||
| dc.identifier.epage | 1535 | ||||
| dc.identifier.hkuros | 195768 | ||||
| dc.identifier.isi | WOS:000274758700022
Funding Information: The work described in this paper was supported by the CAS membership "Structural vibrations in three-dimensional solids" from The University of Hong Kong. | ||||
| dc.identifier.issn | 0022-460X 2011 Impact Factor: 1.588 2011 SCImago Journal Rankings: 0.071 | ||||
| dc.identifier.issue | 9 | ||||
| dc.identifier.scopus | eid_2-s2.0-74149084857 | ||||
| dc.identifier.spage | 1523 | ||||
| dc.identifier.uri | http://hdl.handle.net/10722/139089 | ||||
| dc.identifier.volume | 329 | ||||
| dc.language | eng | ||||
| dc.publisher | Elsevier Ltd. The Journal's web site is located at http://www.elsevier.com/locate/jsvi | ||||
| dc.publisher.place | United Kingdom | ||||
| dc.relation.ispartof | Journal of Sound and Vibration | ||||
| dc.relation.references | References in Scopus | ||||
| dc.subject | Chebyshev polynomials | ||||
| dc.subject | Circular ring | ||||
| dc.subject | Free vibration characteristic | ||||
| dc.subject | Linear elasticity theory | ||||
| dc.subject | Vibration analysis | ||||
| dc.title | 3-D vibration analysis of circular rings with sectorial cross-sections | ||||
| dc.type | Article |
Author Affiliations
- Nanjing University of Technology
- The University of Hong Kong