A numerical study of wave dispersion curves in cylindrical rods with circular cross-section
This work presents a finite element approach for modeling longitudinal wave propagation in thick cylindrical rods with circular cross-section. The formulation is based on simple time domain response of the structure to a properly chosen excitation, and is calculated with an explicit finite element s...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
University of West Bohemia
2013-06-01
|
| Series: | Applied and Computational Mechanics |
| Subjects: | |
| Online Access: | http://www.kme.zcu.cz/acm/index.php/acm/article/view/200/207 |
| _version_ | 1818908639531892736 |
|---|---|
| author | Valsamos G. Casadei F. Solomos G. |
| author_facet | Valsamos G. Casadei F. Solomos G. |
| author_sort | Valsamos G. |
| collection | DOAJ |
| description | This work presents a finite element approach for modeling longitudinal wave propagation in thick cylindrical rods with circular cross-section. The formulation is based on simple time domain response of the structure to a properly chosen excitation, and is calculated with an explicit finite element solver. The proposed post-treatment procedure identifies the wavenumber for each mode of wave propagation at the desired frequency. The procedure is implemented and integrated in an efficient way in the explicit finite element code Europlexus. The numerical results are compared to the analytical ones obtained from the solution of the Pochhammer — Chree equation, which provides the dispersion curves for wavetrains in solid cylinders of infinite length. |
| first_indexed | 2024-12-19T22:14:13Z |
| format | Article |
| id | doaj.art-c785c3ae117a4da5b39f478cc2744bc1 |
| institution | Directory Open Access Journal |
| issn | 1802-680X |
| language | English |
| last_indexed | 2024-12-19T22:14:13Z |
| publishDate | 2013-06-01 |
| publisher | University of West Bohemia |
| record_format | Article |
| series | Applied and Computational Mechanics |
| spelling | doaj.art-c785c3ae117a4da5b39f478cc2744bc12022-12-21T20:03:49ZengUniversity of West BohemiaApplied and Computational Mechanics1802-680X2013-06-017199114A numerical study of wave dispersion curves in cylindrical rods with circular cross-sectionValsamos G.Casadei F.Solomos G.This work presents a finite element approach for modeling longitudinal wave propagation in thick cylindrical rods with circular cross-section. The formulation is based on simple time domain response of the structure to a properly chosen excitation, and is calculated with an explicit finite element solver. The proposed post-treatment procedure identifies the wavenumber for each mode of wave propagation at the desired frequency. The procedure is implemented and integrated in an efficient way in the explicit finite element code Europlexus. The numerical results are compared to the analytical ones obtained from the solution of the Pochhammer — Chree equation, which provides the dispersion curves for wavetrains in solid cylinders of infinite length.http://www.kme.zcu.cz/acm/index.php/acm/article/view/200/207Dispersion curvesPochhammer-Chree equationWave propagation in rodsExplicit finite element analysisMode identification |
| spellingShingle | Valsamos G. Casadei F. Solomos G. A numerical study of wave dispersion curves in cylindrical rods with circular cross-section Applied and Computational Mechanics Dispersion curves Pochhammer-Chree equation Wave propagation in rods Explicit finite element analysis Mode identification |
| title | A numerical study of wave dispersion curves in cylindrical rods with circular cross-section |
| title_full | A numerical study of wave dispersion curves in cylindrical rods with circular cross-section |
| title_fullStr | A numerical study of wave dispersion curves in cylindrical rods with circular cross-section |
| title_full_unstemmed | A numerical study of wave dispersion curves in cylindrical rods with circular cross-section |
| title_short | A numerical study of wave dispersion curves in cylindrical rods with circular cross-section |
| title_sort | numerical study of wave dispersion curves in cylindrical rods with circular cross section |
| topic | Dispersion curves Pochhammer-Chree equation Wave propagation in rods Explicit finite element analysis Mode identification |
| url | http://www.kme.zcu.cz/acm/index.php/acm/article/view/200/207 |
| work_keys_str_mv | AT valsamosg anumericalstudyofwavedispersioncurvesincylindricalrodswithcircularcrosssection AT casadeif anumericalstudyofwavedispersioncurvesincylindricalrodswithcircularcrosssection AT solomosg anumericalstudyofwavedispersioncurvesincylindricalrodswithcircularcrosssection AT valsamosg numericalstudyofwavedispersioncurvesincylindricalrodswithcircularcrosssection AT casadeif numericalstudyofwavedispersioncurvesincylindricalrodswithcircularcrosssection AT solomosg numericalstudyofwavedispersioncurvesincylindricalrodswithcircularcrosssection |