TY  - CONF
AU  - Cajić, Milan
AU  - Lazarević, Mihailo
AU  - Sun, HongGuang
AU  - Karličić, Danilo
AU  - Chen, Wen
PY  - 2016
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/4186
AB  - Here, we investigate the free vibration behavior of a nanoplate resting on a foundation
with viscoelastic properties using nonlocal elasticity and fractional viscoelasticity
approach. Nanoplate is modeled using nonlocal and fractional viscoelastic constitutive
equation and orthotropic Kirchhoff-Love plate theory. Viscoelastic foundation is
represented by the viscoelastic model with fractional derivative operator. Governing
equation is derived using D’Alambert’s principle and solution is assumed in terms of
Fourier series using separation of variables method and satisfying the simply supported
boundary conditions for nanoplate. Fractional differential equation is solved using the
Laplace and Mellin-Fourier transforms and residue theory. Complex poles of unknown
function are determined by finding the roots of the characteristic equation using technique
that is available in the literature. In order to show the effect of fractional derivative
parameters, damping coefficients and nonlocal parameter on complex roots i.e. damped
frequency and damping ratio as well as on nanoplate’s displacement, few numerical
examples are given.
PB  - Belgrade: Serbian Society of Mechanics
PB  - Faculty of Technical Sciences Novi Sad
C3  - Proceedings of International Conference on Fractional Differentiation and its Application ICFDA16, 18-20 July 2016, Novi Sad, Serbia
T1  - Vibration of an orthotropic nanoplate resting on a viscoelastic foundation: nonlocal and fractional derivative viscoelasticity approach
EP  - 500
SP  - 491
UR  - https://hdl.handle.net/21.15107/rcub_machinery_4186
ER  - 

@conference{
author = "Cajić, Milan and Lazarević, Mihailo and Sun, HongGuang and Karličić, Danilo and Chen, Wen",
year = "2016",
abstract = "Here, we investigate the free vibration behavior of a nanoplate resting on a foundation
with viscoelastic properties using nonlocal elasticity and fractional viscoelasticity
approach. Nanoplate is modeled using nonlocal and fractional viscoelastic constitutive
equation and orthotropic Kirchhoff-Love plate theory. Viscoelastic foundation is
represented by the viscoelastic model with fractional derivative operator. Governing
equation is derived using D’Alambert’s principle and solution is assumed in terms of
Fourier series using separation of variables method and satisfying the simply supported
boundary conditions for nanoplate. Fractional differential equation is solved using the
Laplace and Mellin-Fourier transforms and residue theory. Complex poles of unknown
function are determined by finding the roots of the characteristic equation using technique
that is available in the literature. In order to show the effect of fractional derivative
parameters, damping coefficients and nonlocal parameter on complex roots i.e. damped
frequency and damping ratio as well as on nanoplate’s displacement, few numerical
examples are given.",
publisher = "Belgrade: Serbian Society of Mechanics, Faculty of Technical Sciences Novi Sad",
journal = "Proceedings of International Conference on Fractional Differentiation and its Application ICFDA16, 18-20 July 2016, Novi Sad, Serbia",
title = "Vibration of an orthotropic nanoplate resting on a viscoelastic foundation: nonlocal and fractional derivative viscoelasticity approach",
pages = "500-491",
url = "https://hdl.handle.net/21.15107/rcub_machinery_4186"
}

Cajić, M., Lazarević, M., Sun, H., Karličić, D.,& Chen, W.. (2016). Vibration of an orthotropic nanoplate resting on a viscoelastic foundation: nonlocal and fractional derivative viscoelasticity approach. in Proceedings of International Conference on Fractional Differentiation and its Application ICFDA16, 18-20 July 2016, Novi Sad, Serbia
Belgrade: Serbian Society of Mechanics., 491-500.
https://hdl.handle.net/21.15107/rcub_machinery_4186

Cajić M, Lazarević M, Sun H, Karličić D, Chen W. Vibration of an orthotropic nanoplate resting on a viscoelastic foundation: nonlocal and fractional derivative viscoelasticity approach. in Proceedings of International Conference on Fractional Differentiation and its Application ICFDA16, 18-20 July 2016, Novi Sad, Serbia. 2016;:491-500.
https://hdl.handle.net/21.15107/rcub_machinery_4186 .

Cajić, Milan, Lazarević, Mihailo, Sun, HongGuang, Karličić, Danilo, Chen, Wen, "Vibration of an orthotropic nanoplate resting on a viscoelastic foundation: nonlocal and fractional derivative viscoelasticity approach" in Proceedings of International Conference on Fractional Differentiation and its Application ICFDA16, 18-20 July 2016, Novi Sad, Serbia (2016):491-500,
https://hdl.handle.net/21.15107/rcub_machinery_4186 .