Combined sub-harmonic resonances of nanobeam on fractional visco-Pasternak type foundation
Апстракт
In this work, we observe combined parametric and external sub-harmonic resonances of order
one-third of a geometrically nonlinear nonlocal nanobeam model resting on a fractional visco-
Pasternak type foundation. Euler-Bernoulli beam theory, nonlinear strain-displacement relation
and nonlocal elasticity constitutive equation 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 for variable axial and transverse external loads.
Several numerical examples are given to show the effects of different parameters on frequencyamplitude
response.
Кључне речи:
combined resonance / nonlinear oscillations / fractional derivatives / visco-Pasternak / multiple scales / nonlocal elasticity / nanobeamИзвор:
6th International Congress of Serbian Society of Mechanics, Tara, Serbia, June 19-21, 2017, 2017, 1-4Издавач:
- Beograd : Srpsko društvo za mehaniku
Финансирање / пројекти:
- Динамика хибридних система сложених структура. Механика материјала (RS-174001)
- Одрживост и унапређење машинских система у енергетици и транспорту применом форензичког инжењерства, еко и робуст дизајна (RS-35006)
Колекције
Институција/група
Mašinski fakultetTY - CONF AU - Cajić, Milan AU - Karličić, Danilo AU - Lazarević, Mihailo PY - 2017 UR - https://machinery.mas.bg.ac.rs/handle/123456789/4150 AB - In this work, we observe combined parametric and external sub-harmonic resonances of order one-third of a geometrically nonlinear nonlocal nanobeam model resting on a fractional visco- Pasternak type foundation. Euler-Bernoulli beam theory, nonlinear strain-displacement relation and nonlocal elasticity constitutive equation 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 for variable axial and transverse external loads. Several numerical examples are given to show the effects of different parameters on frequencyamplitude response. PB - Beograd : Srpsko društvo za mehaniku C3 - 6th International Congress of Serbian Society of Mechanics, Tara, Serbia, June 19-21, 2017 T1 - Combined sub-harmonic resonances of nanobeam on fractional visco-Pasternak type foundation EP - 4 SP - 1 UR - https://hdl.handle.net/21.15107/rcub_machinery_4150 ER -
@conference{ author = "Cajić, Milan and Karličić, Danilo and Lazarević, Mihailo", year = "2017", abstract = "In this work, we observe combined parametric and external sub-harmonic resonances of order one-third of a geometrically nonlinear nonlocal nanobeam model resting on a fractional visco- Pasternak type foundation. Euler-Bernoulli beam theory, nonlinear strain-displacement relation and nonlocal elasticity constitutive equation 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 for variable axial and transverse external loads. Several numerical examples are given to show the effects of different parameters on frequencyamplitude response.", publisher = "Beograd : Srpsko društvo za mehaniku", journal = "6th International Congress of Serbian Society of Mechanics, Tara, Serbia, June 19-21, 2017", title = "Combined sub-harmonic resonances of nanobeam on fractional visco-Pasternak type foundation", pages = "4-1", url = "https://hdl.handle.net/21.15107/rcub_machinery_4150" }
Cajić, M., Karličić, D.,& Lazarević, M.. (2017). Combined sub-harmonic resonances of nanobeam on fractional visco-Pasternak type foundation. in 6th International Congress of Serbian Society of Mechanics, Tara, Serbia, June 19-21, 2017 Beograd : Srpsko društvo za mehaniku., 1-4. https://hdl.handle.net/21.15107/rcub_machinery_4150
Cajić M, Karličić D, Lazarević M. Combined sub-harmonic resonances of nanobeam on fractional visco-Pasternak type foundation. in 6th International Congress of Serbian Society of Mechanics, Tara, Serbia, June 19-21, 2017. 2017;:1-4. https://hdl.handle.net/21.15107/rcub_machinery_4150 .
Cajić, Milan, Karličić, Danilo, Lazarević, Mihailo, "Combined sub-harmonic resonances of nanobeam on fractional visco-Pasternak type foundation" in 6th International Congress of Serbian Society of Mechanics, Tara, Serbia, June 19-21, 2017 (2017):1-4, https://hdl.handle.net/21.15107/rcub_machinery_4150 .