Influence of the longitudinal displacement on the nonlinear principal parametric resonance of the woodworking bandsaw
The transverse vibrations of axially moving Timoshenko beam, as suitable mathematical models for woodworking bandsaws, are investigated. Special attention is paid to the influence of longitudinal displacement effect, as opposed to most models which can be usually encountered in the literature. This...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Faculty of Mechanical Engineering in Slavonski Brod, Faculty of Electrical Engineering in Osijek, Faculty of Civil Engineering in Osijek
2017-01-01
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| Series: | Tehnički Vjesnik |
| Subjects: | |
| Online Access: | https://hrcak.srce.hr/file/257885 |
| _version_ | 1797207872761757696 |
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| author | Roberto Žigulić Cristiano Fragassa Ante Skoblar |
| author_facet | Roberto Žigulić Cristiano Fragassa Ante Skoblar |
| author_sort | Roberto Žigulić |
| collection | DOAJ |
| description | The transverse vibrations of axially moving Timoshenko beam, as suitable mathematical models for woodworking bandsaws, are investigated. Special attention is paid to the influence of longitudinal displacement effect, as opposed to most models which can be usually encountered in the literature. This influence is introduced through the integro-partial differential equations. The expressions for the mode shapes in the case of hybrid supports with different torsion spring stiffness on the support points are also derived. The influence of mean beam velocity and axial tension on its natural frequencies and mode shapes is also investigated. Based on the nonlinear model, the amplitudes of the steady-state response are calculated for the case of principal parametric resonance. Developed program solution was tested on a number of earlier known examples. Present theoretical considerations, with the help of the program solution, is also used to analyse an example from industrial practice. |
| first_indexed | 2024-04-24T09:29:49Z |
| format | Article |
| id | doaj.art-55a6a1059a6a47d590b4f89747ddba8f |
| institution | Directory Open Access Journal |
| issn | 1330-3651 1848-6339 |
| language | English |
| last_indexed | 2024-04-24T09:29:49Z |
| publishDate | 2017-01-01 |
| publisher | Faculty of Mechanical Engineering in Slavonski Brod, Faculty of Electrical Engineering in Osijek, Faculty of Civil Engineering in Osijek |
| record_format | Article |
| series | Tehnički Vjesnik |
| spelling | doaj.art-55a6a1059a6a47d590b4f89747ddba8f2024-04-15T14:02:20ZengFaculty of Mechanical Engineering in Slavonski Brod, Faculty of Electrical Engineering in Osijek, Faculty of Civil Engineering in OsijekTehnički Vjesnik1330-36511848-63392017-01-0124125326310.17559/TV-20160209175450Influence of the longitudinal displacement on the nonlinear principal parametric resonance of the woodworking bandsawRoberto Žigulić0Cristiano Fragassa1Ante Skoblar2Department of Mechanical Engineering, Faculty of Engineering Rijeka, University of Rijeka Vukovarska 58, 51000 Rijeka, CroatiaDepartment of Industrial Engineering, University of Bologna, Viale Risorgimento 2, 40136 Bologna, ItalyDepartment of Mechanical Engineering, Faculty of Engineering Rijeka, University of Rijeka Vukovarska 58, 51000 Rijeka, CroatiaThe transverse vibrations of axially moving Timoshenko beam, as suitable mathematical models for woodworking bandsaws, are investigated. Special attention is paid to the influence of longitudinal displacement effect, as opposed to most models which can be usually encountered in the literature. This influence is introduced through the integro-partial differential equations. The expressions for the mode shapes in the case of hybrid supports with different torsion spring stiffness on the support points are also derived. The influence of mean beam velocity and axial tension on its natural frequencies and mode shapes is also investigated. Based on the nonlinear model, the amplitudes of the steady-state response are calculated for the case of principal parametric resonance. Developed program solution was tested on a number of earlier known examples. Present theoretical considerations, with the help of the program solution, is also used to analyse an example from industrial practice.https://hrcak.srce.hr/file/257885hybrid boundary conditionsmethod of multiple scalesnumerical examplesprincipal parametric resonancetravelling Timoshenko beam |
| spellingShingle | Roberto Žigulić Cristiano Fragassa Ante Skoblar Influence of the longitudinal displacement on the nonlinear principal parametric resonance of the woodworking bandsaw Tehnički Vjesnik hybrid boundary conditions method of multiple scales numerical examples principal parametric resonance travelling Timoshenko beam |
| title | Influence of the longitudinal displacement on the nonlinear principal parametric resonance of the woodworking bandsaw |
| title_full | Influence of the longitudinal displacement on the nonlinear principal parametric resonance of the woodworking bandsaw |
| title_fullStr | Influence of the longitudinal displacement on the nonlinear principal parametric resonance of the woodworking bandsaw |
| title_full_unstemmed | Influence of the longitudinal displacement on the nonlinear principal parametric resonance of the woodworking bandsaw |
| title_short | Influence of the longitudinal displacement on the nonlinear principal parametric resonance of the woodworking bandsaw |
| title_sort | influence of the longitudinal displacement on the nonlinear principal parametric resonance of the woodworking bandsaw |
| topic | hybrid boundary conditions method of multiple scales numerical examples principal parametric resonance travelling Timoshenko beam |
| url | https://hrcak.srce.hr/file/257885 |
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