Article: 3-D vibration analysis of skew thick plates using Chebyshev-Ritz method
| Title | 3-D vibration analysis of skew thick plates using Chebyshev-Ritz method |
|---|---|
| Authors | Zhou, D1 Lo, SH2 Au, FTK2 Cheung, YK2 Liu, WQ1 |
| Keywords | Chebyshev Polynomial Eigenfrequency Elasticity Ritz Method Skew Thick Plate Three-Dimensional Vibration |
| Issue Date | 2006 |
| Publisher | Pergamon. The Journal's web site is located at http://www.elsevier.com/locate/ijmecsci |
| Citation | International Journal Of Mechanical Sciences, 2006, v. 48 n. 12, p. 1481-1493 [How to Cite?] DOI: http://dx.doi.org/10.1016/j.ijmecsci.2006.06.015 |
| Abstract | The free vibration characteristics of skew thick plates with arbitrary boundary conditions have been studied based on the three-dimensional, linear and small strain elasticity theory. The actual skew plate domain is mapped onto a basic cubic domain and the eigenvalue equation is then derived from the energy functional of the plate by using the Ritz method. A set of triplicate Chebyshev polynomial series multiplied by a boundary function chosen to satisfy the essential geometric boundary conditions of the plate is developed as the trial functions of the displacement components. The vibration modes are divided into antisymmetric and symmetric ones in the thickness direction and can be studied individually. The convergence and comparison studies show that rather accurate results can be obtained by using this approach. Parametric investigations on rhombic plates with fully clamped edges and completely free edges are performed in detail, with respect to the thickness-span ratio and skew angle. Some results known for the first time are reported, which may serve as the benchmark values for future numerical technique research. © 2006 Elsevier Ltd. All rights reserved. |
| ISSN | 0020-7403 2011 Impact Factor: 1.231 2011 SCImago Journal Rankings: 0.067 |
| DOI | http://dx.doi.org/10.1016/j.ijmecsci.2006.06.015 |
| ISI Accession Number ID | WOS:000242509700016 |
| References | References in Scopus |
| dc.contributor.author | Zhou, D |
|---|---|
| dc.contributor.author | Lo, SH |
| dc.contributor.author | Au, FTK |
| dc.contributor.author | Cheung, YK |
| dc.contributor.author | Liu, WQ |
| dc.date.accessioned | 2012-06-26T06:03:58Z |
| dc.date.available | 2012-06-26T06:03:58Z |
| dc.date.issued | 2006 |
| dc.description.abstract | The free vibration characteristics of skew thick plates with arbitrary boundary conditions have been studied based on the three-dimensional, linear and small strain elasticity theory. The actual skew plate domain is mapped onto a basic cubic domain and the eigenvalue equation is then derived from the energy functional of the plate by using the Ritz method. A set of triplicate Chebyshev polynomial series multiplied by a boundary function chosen to satisfy the essential geometric boundary conditions of the plate is developed as the trial functions of the displacement components. The vibration modes are divided into antisymmetric and symmetric ones in the thickness direction and can be studied individually. The convergence and comparison studies show that rather accurate results can be obtained by using this approach. Parametric investigations on rhombic plates with fully clamped edges and completely free edges are performed in detail, with respect to the thickness-span ratio and skew angle. Some results known for the first time are reported, which may serve as the benchmark values for future numerical technique research. © 2006 Elsevier Ltd. All rights reserved. |
| dc.description.nature | Link_to_subscribed_fulltext |
| dc.identifier.citation | International Journal Of Mechanical Sciences, 2006, v. 48 n. 12, p. 1481-1493 [How to Cite?] DOI: http://dx.doi.org/10.1016/j.ijmecsci.2006.06.015 |
| dc.identifier.doi | http://dx.doi.org/10.1016/j.ijmecsci.2006.06.015 |
| dc.identifier.epage | 1493 |
| dc.identifier.hkuros | 137027 |
| dc.identifier.isi | WOS:000242509700016 |
| dc.identifier.issn | 0020-7403 2011 Impact Factor: 1.231 2011 SCImago Journal Rankings: 0.067 |
| dc.identifier.issue | 12 |
| dc.identifier.scopus | eid_2-s2.0-33749252919 |
| dc.identifier.spage | 1481 |
| dc.identifier.uri | http://hdl.handle.net/10722/150373 |
| dc.identifier.volume | 48 |
| dc.language | eng |
| dc.publisher | Pergamon. The Journal's web site is located at http://www.elsevier.com/locate/ijmecsci |
| dc.publisher.place | United Kingdom |
| dc.relation.ispartof | International Journal of Mechanical Sciences |
| dc.relation.references | References in Scopus |
| dc.subject | Chebyshev Polynomial |
| dc.subject | Eigenfrequency |
| dc.subject | Elasticity |
| dc.subject | Ritz Method |
| dc.subject | Skew Thick Plate |
| dc.subject | Three-Dimensional Vibration |
| dc.title | 3-D vibration analysis of skew thick plates using Chebyshev-Ritz method |
| dc.type | Article |
Author Affiliations
- Nanjing University of Technology
- The University of Hong Kong