Combined resonance of magnetically influenced nanobeam on fractional visco-Pasternak type foundation
Апстракт
Nanostructures with similar shapes as macro structures such as beams, plates or shells are grown using various technological processes. Nano-scale structures mechanical behaviour is similar to macro structures with the main difference that influences of various size-effects cannot be neglected. Particulary, dynamic behaviour of nanostructures is significant for the development of new types of devices such as nanoactuators, nanosensors or resonators. Nonlinear oscillations and dissipation effects from different sources are important for the investigation of nano-scale resonators. Application of experimental and atomistic methods is limited only to specific and less complex nanostructure systems. Modified continuum based theoretical models have attracted a great attention of researchers in recent years. Here, we observe combined parametric and external resonance of a geometrically nonlinear nanobeam resting on a fractional visco-Pasternak type foundation. Euler-Bernoulli beam theory, non...linear strain-displacement relation and nonlocal elasticity constitutive equation are employed to obtained fractional order governing equation for the transverse vibration of a systems, accounting size effects and dissipation effects from external medium. 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 in combined parametric and external resonance case for variable axial and transverse loads. Influences of different system parameters on frequency-amplitude response are examined on several numerical examples.
Кључне речи:
nanobeam / fractional order / Visco-Pasternak Type / resonanceИзвор:
Book of abstracts 14th International Conference on Nanosciences and Nanotechnologies NN17, 4-7 July 2017 Thessaloniki Greece, 2017, 103-103Издавач:
- Nanotechnology
Колекције
Институција/група
Mašinski fakultetTY - CONF AU - Lazarević, Mihailo AU - Cajić, Milan AU - Karličić, Danilo AU - Bučanović, Ljubiša AU - Dragović, Mladen PY - 2017 UR - https://machinery.mas.bg.ac.rs/handle/123456789/6449 AB - Nanostructures with similar shapes as macro structures such as beams, plates or shells are grown using various technological processes. Nano-scale structures mechanical behaviour is similar to macro structures with the main difference that influences of various size-effects cannot be neglected. Particulary, dynamic behaviour of nanostructures is significant for the development of new types of devices such as nanoactuators, nanosensors or resonators. Nonlinear oscillations and dissipation effects from different sources are important for the investigation of nano-scale resonators. Application of experimental and atomistic methods is limited only to specific and less complex nanostructure systems. Modified continuum based theoretical models have attracted a great attention of researchers in recent years. Here, we observe combined parametric and external resonance of a geometrically nonlinear nanobeam 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 systems, accounting size effects and dissipation effects from external medium. 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 in combined parametric and external resonance case for variable axial and transverse loads. Influences of different system parameters on frequency-amplitude response are examined on several numerical examples. PB - Nanotechnology C3 - Book of abstracts 14th International Conference on Nanosciences and Nanotechnologies NN17, 4-7 July 2017 Thessaloniki Greece T1 - Combined resonance of magnetically influenced nanobeam on fractional visco-Pasternak type foundation EP - 103 SP - 103 UR - https://hdl.handle.net/21.15107/rcub_machinery_6449 ER -
@conference{ author = "Lazarević, Mihailo and Cajić, Milan and Karličić, Danilo and Bučanović, Ljubiša and Dragović, Mladen", year = "2017", abstract = "Nanostructures with similar shapes as macro structures such as beams, plates or shells are grown using various technological processes. Nano-scale structures mechanical behaviour is similar to macro structures with the main difference that influences of various size-effects cannot be neglected. Particulary, dynamic behaviour of nanostructures is significant for the development of new types of devices such as nanoactuators, nanosensors or resonators. Nonlinear oscillations and dissipation effects from different sources are important for the investigation of nano-scale resonators. Application of experimental and atomistic methods is limited only to specific and less complex nanostructure systems. Modified continuum based theoretical models have attracted a great attention of researchers in recent years. Here, we observe combined parametric and external resonance of a geometrically nonlinear nanobeam 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 systems, accounting size effects and dissipation effects from external medium. 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 in combined parametric and external resonance case for variable axial and transverse loads. Influences of different system parameters on frequency-amplitude response are examined on several numerical examples.", publisher = "Nanotechnology", journal = "Book of abstracts 14th International Conference on Nanosciences and Nanotechnologies NN17, 4-7 July 2017 Thessaloniki Greece", title = "Combined resonance of magnetically influenced nanobeam on fractional visco-Pasternak type foundation", pages = "103-103", url = "https://hdl.handle.net/21.15107/rcub_machinery_6449" }
Lazarević, M., Cajić, M., Karličić, D., Bučanović, L.,& Dragović, M.. (2017). Combined resonance of magnetically influenced nanobeam on fractional visco-Pasternak type foundation. in Book of abstracts 14th International Conference on Nanosciences and Nanotechnologies NN17, 4-7 July 2017 Thessaloniki Greece Nanotechnology., 103-103. https://hdl.handle.net/21.15107/rcub_machinery_6449
Lazarević M, Cajić M, Karličić D, Bučanović L, Dragović M. Combined resonance of magnetically influenced nanobeam on fractional visco-Pasternak type foundation. in Book of abstracts 14th International Conference on Nanosciences and Nanotechnologies NN17, 4-7 July 2017 Thessaloniki Greece. 2017;:103-103. https://hdl.handle.net/21.15107/rcub_machinery_6449 .
Lazarević, Mihailo, Cajić, Milan, Karličić, Danilo, Bučanović, Ljubiša, Dragović, Mladen, "Combined resonance of magnetically influenced nanobeam on fractional visco-Pasternak type foundation" in Book of abstracts 14th International Conference on Nanosciences and Nanotechnologies NN17, 4-7 July 2017 Thessaloniki Greece (2017):103-103, https://hdl.handle.net/21.15107/rcub_machinery_6449 .