TY  - CONF
AU  - Cajić, Milan
AU  - Karličić, Danilo
AU  - Lazarević, Mihailo
AU  - Wen, Chen
PY  - 2017
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/4154
AB  - In this communication, we observe the interaction of fundamental parametric resonances with subharmonic resonances of order one-half of a geometrically nonlinear nonlocal nanobeam model resting on a fractional Pasternak-type viscoelastic foundation. Euler-Bernoulli beam theory and nonlinear von Karman strain-displacement relation are employed to obtained fractional order governing equation for the transverse vibration of a system. Under the assumption of small fractional damping, we used the perturbation multiple-scales method to obtain an approximated analytical solution for the frequency-amplitude response. Combined parametric resonance from axial load and subharmonic resonance under external excitation are examined for different parameters of the model. Validation of the multiple scales solution against numerical solution in the phase plane and Poincare map will be provided
PB  - Budapest : CongressLIne Ltd.
C3  - Proceedings of 9th European Nonlinear Dynamics Conference (ENOC2017), edited by Gábor Stépán, Gábor Csernák. Budapest, 2017.
T1  - Combined resonance of a nonlocal nanobeam on fractional Pasternak-type viscoelastic foundation
EP  - 2
SP  - 1
UR  - https://hdl.handle.net/21.15107/rcub_machinery_4154
ER  - 

@conference{
author = "Cajić, Milan and Karličić, Danilo and Lazarević, Mihailo and Wen, Chen",
year = "2017",
abstract = "In this communication, we observe the interaction of fundamental parametric resonances with subharmonic resonances of order one-half of a geometrically nonlinear nonlocal nanobeam model resting on a fractional Pasternak-type viscoelastic foundation. Euler-Bernoulli beam theory and nonlinear von Karman strain-displacement relation are employed to obtained fractional order governing equation for the transverse vibration of a system. Under the assumption of small fractional damping, we used the perturbation multiple-scales method to obtain an approximated analytical solution for the frequency-amplitude response. Combined parametric resonance from axial load and subharmonic resonance under external excitation are examined for different parameters of the model. Validation of the multiple scales solution against numerical solution in the phase plane and Poincare map will be provided",
publisher = "Budapest : CongressLIne Ltd.",
journal = "Proceedings of 9th European Nonlinear Dynamics Conference (ENOC2017), edited by Gábor Stépán, Gábor Csernák. Budapest, 2017.",
title = "Combined resonance of a nonlocal nanobeam on fractional Pasternak-type viscoelastic foundation",
pages = "2-1",
url = "https://hdl.handle.net/21.15107/rcub_machinery_4154"
}

Cajić, M., Karličić, D., Lazarević, M.,& Wen, C.. (2017). Combined resonance of a nonlocal nanobeam on fractional Pasternak-type viscoelastic foundation. in Proceedings of 9th European Nonlinear Dynamics Conference (ENOC2017), edited by Gábor Stépán, Gábor Csernák. Budapest, 2017.
Budapest : CongressLIne Ltd.., 1-2.
https://hdl.handle.net/21.15107/rcub_machinery_4154

Cajić M, Karličić D, Lazarević M, Wen C. Combined resonance of a nonlocal nanobeam on fractional Pasternak-type viscoelastic foundation. in Proceedings of 9th European Nonlinear Dynamics Conference (ENOC2017), edited by Gábor Stépán, Gábor Csernák. Budapest, 2017.. 2017;:1-2.
https://hdl.handle.net/21.15107/rcub_machinery_4154 .

Cajić, Milan, Karličić, Danilo, Lazarević, Mihailo, Wen, Chen, "Combined resonance of a nonlocal nanobeam on fractional Pasternak-type viscoelastic foundation" in Proceedings of 9th European Nonlinear Dynamics Conference (ENOC2017), edited by Gábor Stépán, Gábor Csernák. Budapest, 2017. (2017):1-2,
https://hdl.handle.net/21.15107/rcub_machinery_4154 .