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Original scientific paper
https://doi.org/10.17559/TV-20160209175450

Influence of the longitudinal displacement on the nonlinear principal parametric resonance of the woodworking bandsaw

Roberto Žigulić   ORCID icon orcid.org/0000-0003-3052-6794 ; Department of Mechanical Engineering, Faculty of Engineering Rijeka, University of Rijeka Vukovarska 58, 51000 Rijeka, Croatia
Cristiano Fragassa   ORCID icon orcid.org/0000-0003-0046-8810 ; Department of Industrial Engineering, University of Bologna, Viale Risorgimento 2, 40136 Bologna, Italy
Ante Skoblar   ORCID icon orcid.org/0000-0003-2230-3398 ; Department of Mechanical Engineering, Faculty of Engineering Rijeka, University of Rijeka Vukovarska 58, 51000 Rijeka, Croatia

Fulltext: english, pdf (2 MB) pages 253-263 downloads: 178* cite
APA 6th Edition
Žigulić, R., Fragassa, C. & Skoblar, A. (2017). Influence of the longitudinal displacement on the nonlinear principal parametric resonance of the woodworking bandsaw. Tehnički vjesnik, 24 (1), 253-263. https://doi.org/10.17559/TV-20160209175450
MLA 8th Edition
Žigulić, Roberto, et al. "Influence of the longitudinal displacement on the nonlinear principal parametric resonance of the woodworking bandsaw." Tehnički vjesnik, vol. 24, no. 1, 2017, pp. 253-263. https://doi.org/10.17559/TV-20160209175450. Accessed 17 Sep. 2021.
Chicago 17th Edition
Žigulić, Roberto, Cristiano Fragassa and Ante Skoblar. "Influence of the longitudinal displacement on the nonlinear principal parametric resonance of the woodworking bandsaw." Tehnički vjesnik 24, no. 1 (2017): 253-263. https://doi.org/10.17559/TV-20160209175450
Harvard
Žigulić, R., Fragassa, C., and Skoblar, A. (2017). 'Influence of the longitudinal displacement on the nonlinear principal parametric resonance of the woodworking bandsaw', Tehnički vjesnik, 24(1), pp. 253-263. https://doi.org/10.17559/TV-20160209175450
Vancouver
Žigulić R, Fragassa C, Skoblar A. Influence of the longitudinal displacement on the nonlinear principal parametric resonance of the woodworking bandsaw. Tehnički vjesnik [Internet]. 2017 [cited 2021 September 17];24(1):253-263. https://doi.org/10.17559/TV-20160209175450
IEEE
R. Žigulić, C. Fragassa and A. Skoblar, "Influence of the longitudinal displacement on the nonlinear principal parametric resonance of the woodworking bandsaw", Tehnički vjesnik, vol.24, no. 1, pp. 253-263, 2017. [Online]. https://doi.org/10.17559/TV-20160209175450
Fulltext: croatian, pdf (2 MB) pages 253-263 downloads: 284* cite
APA 6th Edition
Žigulić, R., Fragassa, C. & Skoblar, A. (2017). Utjecaj uzdužnog pomaka na nelinearne glavne parametarske rezonancije tračne pile. Tehnički vjesnik, 24 (1), 253-263. https://doi.org/10.17559/TV-20160209175450
MLA 8th Edition
Žigulić, Roberto, et al. "Utjecaj uzdužnog pomaka na nelinearne glavne parametarske rezonancije tračne pile." Tehnički vjesnik, vol. 24, no. 1, 2017, pp. 253-263. https://doi.org/10.17559/TV-20160209175450. Accessed 17 Sep. 2021.
Chicago 17th Edition
Žigulić, Roberto, Cristiano Fragassa and Ante Skoblar. "Utjecaj uzdužnog pomaka na nelinearne glavne parametarske rezonancije tračne pile." Tehnički vjesnik 24, no. 1 (2017): 253-263. https://doi.org/10.17559/TV-20160209175450
Harvard
Žigulić, R., Fragassa, C., and Skoblar, A. (2017). 'Utjecaj uzdužnog pomaka na nelinearne glavne parametarske rezonancije tračne pile', Tehnički vjesnik, 24(1), pp. 253-263. https://doi.org/10.17559/TV-20160209175450
Vancouver
Žigulić R, Fragassa C, Skoblar A. Utjecaj uzdužnog pomaka na nelinearne glavne parametarske rezonancije tračne pile. Tehnički vjesnik [Internet]. 2017 [cited 2021 September 17];24(1):253-263. https://doi.org/10.17559/TV-20160209175450
IEEE
R. Žigulić, C. Fragassa and A. Skoblar, "Utjecaj uzdužnog pomaka na nelinearne glavne parametarske rezonancije tračne pile", Tehnički vjesnik, vol.24, no. 1, pp. 253-263, 2017. [Online]. https://doi.org/10.17559/TV-20160209175450

Abstracts
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.

Keywords
hybrid boundary conditions; method of multiple scales; numerical examples; principal parametric resonance; travelling Timoshenko beam

Hrčak ID: 174733

URI
https://hrcak.srce.hr/174733

[croatian]

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