TY  - JOUR
AU  - Nešić, Nikola
AU  - Cajić, Milan
AU  - Karličić, Danilo
AU  - Lazarević, Mihailo
AU  - Adhikari, Sondipon
PY  - 2023
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/7064
AB  - This study investigates the stability of periodic solutions of a nonlinear nonlocal strain gradient functionally graded Euler–Bernoulli beam model resting on a visco-Pasternak foundation and subjected to external harmonic excitation. The nonlinearity of the beam arises from the von Kármán strain-displacement relation. Nonlocal stress gradient theory combined with the strain gradient theory is used to describe the stress-strain relation. Variations of material properties across the thickness direction are defined by the power-law model. The governing differential equation of motion is derived by using Hamilton's principle and discretized by the Galerkin approximation. The methodology for obtaining the steady-state amplitude-frequency responses via the incremental harmonic balance method and continuation technique is presented. The obtained periodic solutions are verified against the numerical integration method and stability analysis is performed by utilizing the Floquet theory.
PB  - University of Niš
T2  - FACTA UNIVERSITATIS Series: Mechanical Engineering
T1  - VIBRATION AND STABILITY OF A NONLINEAR NONLOCAL STRAIN-GRADIENT FG BEAM ON A VISCO-PASTERNAK FOUNDATION
DO  - 10.22190/FUME230419022N
ER  - 

@article{
author = "Nešić, Nikola and Cajić, Milan and Karličić, Danilo and Lazarević, Mihailo and Adhikari, Sondipon",
year = "2023",
abstract = "This study investigates the stability of periodic solutions of a nonlinear nonlocal strain gradient functionally graded Euler–Bernoulli beam model resting on a visco-Pasternak foundation and subjected to external harmonic excitation. The nonlinearity of the beam arises from the von Kármán strain-displacement relation. Nonlocal stress gradient theory combined with the strain gradient theory is used to describe the stress-strain relation. Variations of material properties across the thickness direction are defined by the power-law model. The governing differential equation of motion is derived by using Hamilton's principle and discretized by the Galerkin approximation. The methodology for obtaining the steady-state amplitude-frequency responses via the incremental harmonic balance method and continuation technique is presented. The obtained periodic solutions are verified against the numerical integration method and stability analysis is performed by utilizing the Floquet theory.",
publisher = "University of Niš",
journal = "FACTA UNIVERSITATIS Series: Mechanical Engineering",
title = "VIBRATION AND STABILITY OF A NONLINEAR NONLOCAL STRAIN-GRADIENT FG BEAM ON A VISCO-PASTERNAK FOUNDATION",
doi = "10.22190/FUME230419022N"
}

Nešić, N., Cajić, M., Karličić, D., Lazarević, M.,& Adhikari, S.. (2023). VIBRATION AND STABILITY OF A NONLINEAR NONLOCAL STRAIN-GRADIENT FG BEAM ON A VISCO-PASTERNAK FOUNDATION. in FACTA UNIVERSITATIS Series: Mechanical Engineering
University of Niš..
https://doi.org/10.22190/FUME230419022N

Nešić N, Cajić M, Karličić D, Lazarević M, Adhikari S. VIBRATION AND STABILITY OF A NONLINEAR NONLOCAL STRAIN-GRADIENT FG BEAM ON A VISCO-PASTERNAK FOUNDATION. in FACTA UNIVERSITATIS Series: Mechanical Engineering. 2023;.
doi:10.22190/FUME230419022N .

Nešić, Nikola, Cajić, Milan, Karličić, Danilo, Lazarević, Mihailo, Adhikari, Sondipon, "VIBRATION AND STABILITY OF A NONLINEAR NONLOCAL STRAIN-GRADIENT FG BEAM ON A VISCO-PASTERNAK FOUNDATION" in FACTA UNIVERSITATIS Series: Mechanical Engineering (2023),
https://doi.org/10.22190/FUME230419022N . .

TY  - JOUR
AU  - Karličić, Danilo
AU  - Kozić, Predrag
AU  - Adhikari, Sondipon
AU  - Cajić, Milan
AU  - Murmu, Tony
AU  - Lazarević, Mihailo
PY  - 2015
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/2254
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/3936
AB  - Nano-materials such as graphene sheets have a great opportunity to be applied in development of a new generation of nanomechanical sensors and devices due to their unique physical properties. Based on the nonlocal continuum theory and vibration analysis, the single-layered graphene sheet with attached nanoparticles affected by in-plane magnetic field is proposed as a new type of the mass-nanosensor. The nonlocal Kirchhoff-Love plate theory is adopted to describe mechanical behavior of single-layered graphene sheet as an orthotropic nanoplate. The equation of motion of a simply supported orthotropic nanoplate is derived, where the influence of Lorentz magnetic force is introduced through classical Maxwell's equations. Complex natural frequencies, damped frequency shifts and relative shift of damping ratio for nanoplate with attached nanoparticles are obtained in the explicit form. The influences of the nonlocal and magnetic field parameter, different mass weights and positions of attached nanoparticles and damping coefficients on the relative damped frequency shift and relative shift of damping ratio are examined. The presented results can be useful in the analysis and design of nanosensors applied in the presence of strong magnetic field. Our results show that magnetic field could be successfully used to improve sensibility performances of nanomechanical sensors.
PB  - Pergamon-Elsevier Science Ltd, Oxford
T2  - International Journal of Mechanical Sciences
T1  - Nonlocal mass-nanosensor model based on the damped vibration of single-layer graphene sheet influenced by in-plane magnetic field
EP  - 142
SP  - 132
VL  - 96-97
DO  - 10.1016/j.ijmecsci.2015.03.014
ER  - 

@article{
author = "Karličić, Danilo and Kozić, Predrag and Adhikari, Sondipon and Cajić, Milan and Murmu, Tony and Lazarević, Mihailo",
year = "2015",
abstract = "Nano-materials such as graphene sheets have a great opportunity to be applied in development of a new generation of nanomechanical sensors and devices due to their unique physical properties. Based on the nonlocal continuum theory and vibration analysis, the single-layered graphene sheet with attached nanoparticles affected by in-plane magnetic field is proposed as a new type of the mass-nanosensor. The nonlocal Kirchhoff-Love plate theory is adopted to describe mechanical behavior of single-layered graphene sheet as an orthotropic nanoplate. The equation of motion of a simply supported orthotropic nanoplate is derived, where the influence of Lorentz magnetic force is introduced through classical Maxwell's equations. Complex natural frequencies, damped frequency shifts and relative shift of damping ratio for nanoplate with attached nanoparticles are obtained in the explicit form. The influences of the nonlocal and magnetic field parameter, different mass weights and positions of attached nanoparticles and damping coefficients on the relative damped frequency shift and relative shift of damping ratio are examined. The presented results can be useful in the analysis and design of nanosensors applied in the presence of strong magnetic field. Our results show that magnetic field could be successfully used to improve sensibility performances of nanomechanical sensors.",
publisher = "Pergamon-Elsevier Science Ltd, Oxford",
journal = "International Journal of Mechanical Sciences",
title = "Nonlocal mass-nanosensor model based on the damped vibration of single-layer graphene sheet influenced by in-plane magnetic field",
pages = "142-132",
volume = "96-97",
doi = "10.1016/j.ijmecsci.2015.03.014"
}

Karličić, D., Kozić, P., Adhikari, S., Cajić, M., Murmu, T.,& Lazarević, M.. (2015). Nonlocal mass-nanosensor model based on the damped vibration of single-layer graphene sheet influenced by in-plane magnetic field. in International Journal of Mechanical Sciences
Pergamon-Elsevier Science Ltd, Oxford., 96-97, 132-142.
https://doi.org/10.1016/j.ijmecsci.2015.03.014

Karličić D, Kozić P, Adhikari S, Cajić M, Murmu T, Lazarević M. Nonlocal mass-nanosensor model based on the damped vibration of single-layer graphene sheet influenced by in-plane magnetic field. in International Journal of Mechanical Sciences. 2015;96-97:132-142.
doi:10.1016/j.ijmecsci.2015.03.014 .

Karličić, Danilo, Kozić, Predrag, Adhikari, Sondipon, Cajić, Milan, Murmu, Tony, Lazarević, Mihailo, "Nonlocal mass-nanosensor model based on the damped vibration of single-layer graphene sheet influenced by in-plane magnetic field" in International Journal of Mechanical Sciences, 96-97 (2015):132-142,
https://doi.org/10.1016/j.ijmecsci.2015.03.014 . .

TY  - JOUR
AU  - Karličić, Danilo
AU  - Kozić, Predrag
AU  - Adhikari, Sondipon
AU  - Cajić, Milan
AU  - Murmu, Tony
AU  - Lazarević, Mihailo
PY  - 2015
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/2254
AB  - Nano-materials such as graphene sheets have a great opportunity to be applied in development of a new generation of nanomechanical sensors and devices due to their unique physical properties. Based on the nonlocal continuum theory and vibration analysis, the single-layered graphene sheet with attached nanoparticles affected by in-plane magnetic field is proposed as a new type of the mass-nanosensor. The nonlocal Kirchhoff-Love plate theory is adopted to describe mechanical behavior of single-layered graphene sheet as an orthotropic nanoplate. The equation of motion of a simply supported orthotropic nanoplate is derived, where the influence of Lorentz magnetic force is introduced through classical Maxwell's equations. Complex natural frequencies, damped frequency shifts and relative shift of damping ratio for nanoplate with attached nanoparticles are obtained in the explicit form. The influences of the nonlocal and magnetic field parameter, different mass weights and positions of attached nanoparticles and damping coefficients on the relative damped frequency shift and relative shift of damping ratio are examined. The presented results can be useful in the analysis and design of nanosensors applied in the presence of strong magnetic field. Our results show that magnetic field could be successfully used to improve sensibility performances of nanomechanical sensors.
PB  - Pergamon-Elsevier Science Ltd, Oxford
T2  - International Journal of Mechanical Sciences
T1  - Nonlocal mass-nanosensor model based on the damped vibration of single-layer graphene sheet influenced by in-plane magnetic field
EP  - 142
SP  - 132
VL  - 96-97
DO  - 10.1016/j.ijmecsci.2015.03.014
ER  - 

@article{
author = "Karličić, Danilo and Kozić, Predrag and Adhikari, Sondipon and Cajić, Milan and Murmu, Tony and Lazarević, Mihailo",
year = "2015",
abstract = "Nano-materials such as graphene sheets have a great opportunity to be applied in development of a new generation of nanomechanical sensors and devices due to their unique physical properties. Based on the nonlocal continuum theory and vibration analysis, the single-layered graphene sheet with attached nanoparticles affected by in-plane magnetic field is proposed as a new type of the mass-nanosensor. The nonlocal Kirchhoff-Love plate theory is adopted to describe mechanical behavior of single-layered graphene sheet as an orthotropic nanoplate. The equation of motion of a simply supported orthotropic nanoplate is derived, where the influence of Lorentz magnetic force is introduced through classical Maxwell's equations. Complex natural frequencies, damped frequency shifts and relative shift of damping ratio for nanoplate with attached nanoparticles are obtained in the explicit form. The influences of the nonlocal and magnetic field parameter, different mass weights and positions of attached nanoparticles and damping coefficients on the relative damped frequency shift and relative shift of damping ratio are examined. The presented results can be useful in the analysis and design of nanosensors applied in the presence of strong magnetic field. Our results show that magnetic field could be successfully used to improve sensibility performances of nanomechanical sensors.",
publisher = "Pergamon-Elsevier Science Ltd, Oxford",
journal = "International Journal of Mechanical Sciences",
title = "Nonlocal mass-nanosensor model based on the damped vibration of single-layer graphene sheet influenced by in-plane magnetic field",
pages = "142-132",
volume = "96-97",
doi = "10.1016/j.ijmecsci.2015.03.014"
}

Karličić, D., Kozić, P., Adhikari, S., Cajić, M., Murmu, T.,& Lazarević, M.. (2015). Nonlocal mass-nanosensor model based on the damped vibration of single-layer graphene sheet influenced by in-plane magnetic field. in International Journal of Mechanical Sciences
Pergamon-Elsevier Science Ltd, Oxford., 96-97, 132-142.
https://doi.org/10.1016/j.ijmecsci.2015.03.014

Karličić D, Kozić P, Adhikari S, Cajić M, Murmu T, Lazarević M. Nonlocal mass-nanosensor model based on the damped vibration of single-layer graphene sheet influenced by in-plane magnetic field. in International Journal of Mechanical Sciences. 2015;96-97:132-142.
doi:10.1016/j.ijmecsci.2015.03.014 .

Karličić, Danilo, Kozić, Predrag, Adhikari, Sondipon, Cajić, Milan, Murmu, Tony, Lazarević, Mihailo, "Nonlocal mass-nanosensor model based on the damped vibration of single-layer graphene sheet influenced by in-plane magnetic field" in International Journal of Mechanical Sciences, 96-97 (2015):132-142,
https://doi.org/10.1016/j.ijmecsci.2015.03.014 . .