Vibration of a coupled fractional viscoelastic multi-nanobeam systems
Само за регистроване кориснике
2019
Конференцијски прилог (Објављена верзија)
Метаподаци
Приказ свих података о документуАпстракт
This paper shows the transverse vibration analysis of complex multiple coupled nanobeams system. Observed system is composed of an arbitrary number of aligned nanobeam structures embedded in viscoelastic medium where damping features of nanobeams and viscoelastic medium are represented by the fractional viscoelastic models while small-scale effects are considered using the Eringen’s nonlocal elasticity. In addition, non-homogeneities of the system such as different nanobeams cross-sections or density are observed within the paper. Governing equations are derived using using the d’Alembert’s principle, differential form of nonlocal stress relation and local stress-strain viscoelastic constitutive equation of fractional Kelvin-Voigt type. Semi-analyitical solutions for the transient response of simply supported nanobeams in the system are obtained using the separation of variables method, Laplace and Mellin-Fourier integral transforms, residue theory and modal expansion method. The probl...em of decoupling the governing equations of a non-homogenous system is solved by adopting the methodology from the literature. Several numerical examples are given to show the effects of different physical parameters on the transient response of such a system. Presented dynamic analysis and results could be used in future theoretical studies with additional physical effects included into the model. There is also a potential for use of this type of analysis in design procedures of modern nanodevices for calculation of their dynamic behavior that is much faster compared to atomistic based models.
Кључне речи:
Nonlocal theory / Fractional Viscoelasticity / Nanobeams / Vibration Analysis / Coupled StructuresИзвор:
Proceedings of 12th HSTAM International Congress on Mechanics, Hellenic society for theoretical and applied mechanics (HSTAM),The Aristotle University of Thessaloniki, Greece, 22 – 25 September 2019, 2019, 1-10Издавач:
- The Hellenic Society of Theoretical & Applied Mechanics (HSTAM)
Колекције
Институција/група
Mašinski fakultetTY - CONF AU - Cajić, Milan AU - Lazarević, Mihailo AU - Paunović, Stepa AU - Karličić, Danilo PY - 2019 UR - https://machinery.mas.bg.ac.rs/handle/123456789/6450 AB - This paper shows the transverse vibration analysis of complex multiple coupled nanobeams system. Observed system is composed of an arbitrary number of aligned nanobeam structures embedded in viscoelastic medium where damping features of nanobeams and viscoelastic medium are represented by the fractional viscoelastic models while small-scale effects are considered using the Eringen’s nonlocal elasticity. In addition, non-homogeneities of the system such as different nanobeams cross-sections or density are observed within the paper. Governing equations are derived using using the d’Alembert’s principle, differential form of nonlocal stress relation and local stress-strain viscoelastic constitutive equation of fractional Kelvin-Voigt type. Semi-analyitical solutions for the transient response of simply supported nanobeams in the system are obtained using the separation of variables method, Laplace and Mellin-Fourier integral transforms, residue theory and modal expansion method. The problem of decoupling the governing equations of a non-homogenous system is solved by adopting the methodology from the literature. Several numerical examples are given to show the effects of different physical parameters on the transient response of such a system. Presented dynamic analysis and results could be used in future theoretical studies with additional physical effects included into the model. There is also a potential for use of this type of analysis in design procedures of modern nanodevices for calculation of their dynamic behavior that is much faster compared to atomistic based models. PB - The Hellenic Society of Theoretical & Applied Mechanics (HSTAM) C3 - Proceedings of 12th HSTAM International Congress on Mechanics, Hellenic society for theoretical and applied mechanics (HSTAM),The Aristotle University of Thessaloniki, Greece, 22 – 25 September 2019 T1 - Vibration of a coupled fractional viscoelastic multi-nanobeam systems EP - 10 SP - 1 UR - https://hdl.handle.net/21.15107/rcub_machinery_6450 ER -
@conference{ author = "Cajić, Milan and Lazarević, Mihailo and Paunović, Stepa and Karličić, Danilo", year = "2019", abstract = "This paper shows the transverse vibration analysis of complex multiple coupled nanobeams system. Observed system is composed of an arbitrary number of aligned nanobeam structures embedded in viscoelastic medium where damping features of nanobeams and viscoelastic medium are represented by the fractional viscoelastic models while small-scale effects are considered using the Eringen’s nonlocal elasticity. In addition, non-homogeneities of the system such as different nanobeams cross-sections or density are observed within the paper. Governing equations are derived using using the d’Alembert’s principle, differential form of nonlocal stress relation and local stress-strain viscoelastic constitutive equation of fractional Kelvin-Voigt type. Semi-analyitical solutions for the transient response of simply supported nanobeams in the system are obtained using the separation of variables method, Laplace and Mellin-Fourier integral transforms, residue theory and modal expansion method. The problem of decoupling the governing equations of a non-homogenous system is solved by adopting the methodology from the literature. Several numerical examples are given to show the effects of different physical parameters on the transient response of such a system. Presented dynamic analysis and results could be used in future theoretical studies with additional physical effects included into the model. There is also a potential for use of this type of analysis in design procedures of modern nanodevices for calculation of their dynamic behavior that is much faster compared to atomistic based models.", publisher = "The Hellenic Society of Theoretical & Applied Mechanics (HSTAM)", journal = "Proceedings of 12th HSTAM International Congress on Mechanics, Hellenic society for theoretical and applied mechanics (HSTAM),The Aristotle University of Thessaloniki, Greece, 22 – 25 September 2019", title = "Vibration of a coupled fractional viscoelastic multi-nanobeam systems", pages = "10-1", url = "https://hdl.handle.net/21.15107/rcub_machinery_6450" }
Cajić, M., Lazarević, M., Paunović, S.,& Karličić, D.. (2019). Vibration of a coupled fractional viscoelastic multi-nanobeam systems. in Proceedings of 12th HSTAM International Congress on Mechanics, Hellenic society for theoretical and applied mechanics (HSTAM),The Aristotle University of Thessaloniki, Greece, 22 – 25 September 2019 The Hellenic Society of Theoretical & Applied Mechanics (HSTAM)., 1-10. https://hdl.handle.net/21.15107/rcub_machinery_6450
Cajić M, Lazarević M, Paunović S, Karličić D. Vibration of a coupled fractional viscoelastic multi-nanobeam systems. in Proceedings of 12th HSTAM International Congress on Mechanics, Hellenic society for theoretical and applied mechanics (HSTAM),The Aristotle University of Thessaloniki, Greece, 22 – 25 September 2019. 2019;:1-10. https://hdl.handle.net/21.15107/rcub_machinery_6450 .
Cajić, Milan, Lazarević, Mihailo, Paunović, Stepa, Karličić, Danilo, "Vibration of a coupled fractional viscoelastic multi-nanobeam systems" in Proceedings of 12th HSTAM International Congress on Mechanics, Hellenic society for theoretical and applied mechanics (HSTAM),The Aristotle University of Thessaloniki, Greece, 22 – 25 September 2019 (2019):1-10, https://hdl.handle.net/21.15107/rcub_machinery_6450 .