Milan Cajić

Research Associate Professor,
Department of Mechanics,
Mathematical Institute of the Serbian Academy of Sciences and Arts,
Kneza Mihaila 36, 11001 Belgrade, Serbia


Phone: +381 (0) 64 4576404, Fax: +381 (0) 11 2186105
Emails: link
Refereed journal papers
  1. Milan Cajić, Danilo Karličić,Johan Christensen, Sondipon Adhikari. Tunable topological interface states in one-dimensional inerter-based locally resonant lattices with damping., Journal of Sound and Vibration, Vol. 542, 2023, 117326. (PDF)
  2. Stepa Paunović, Milan Cajić, Danilo Karličić, Marina Mijalković. Dynamics of fractional-order multi-beam mass system excited by base motion., Applied Mathematical Modelling, pp. 702-723, 2020.
  3. Stepa Paunović, Milan Cajić, Danilo Karličić, Marina Mijalković. A novel approach for vibration analysis of fractional viscoelastic beams with attached masses and base excitation, Journal of Sound and Vibration, pp. 1-30, 2019.
  4. Milan Cajić, Mihailo Lazarević, Danilo Karličić, Hongguang Sun and Xiaoting Liu. Fractional-order model for the vibration of a nanobeam influenced by an axial magnetic field and attached nanoparticles, Acta Mechanica, Volume 229, Issue 12, pp. 4791-4815, 2018.
  5. Danilo Karličić, Milan Cajić and Sondipon Adhikari. Dynamic stability of a nonlinear multiple-nanobeam system, Nonlinear Dynamics, Volume 93, pp. 1495-1517, 2018.
  6. Danilo Karličić, Predrag Kozić and Milan Cajić. Stochastic stability of a magnetically affected single-layer graphene sheet resting on a viscoelastic foundation, European Journal of Mechanics-A/Solids, Volume 72, pp. 66-78, 2018.
  7. Danilo Karličić, Milan Cajić, Sondipon Adhikari, Predrag Kozić and Tony Murmu.Vibrating nonlocal multi-nanoplate system under inplane magnetic , European Journal of Mechanics-A/Solids, Volume 64, pp. 29-45.
  8. Milan Cajić, Danilo Karličić and Mihailo Lazarević. Damped vibration of a nonlocal nanobeam resting on viscoelastic foundation: fractional derivative model with two retardation times and fractional parameters, Meccanica, Volume 52, Issue 1-2, pp. 363-382, 2017.
  9. Milan Cajić, Danilo Karličić and Mihailo Lazarević. Nonlocal vibration of a fractional order viscoelastic nanobeam with attached nanoparticle , Theoretical and Applied Mechanics, Volume 42, Issue 3, pp. 167-190, 2015.
  10. Danilo Karličić, Milan Cajić, Predrag Kozić, Ivan Pavlović. Temperature effects on the vibration and stability behavior of multi-layered graphene sheets embedded in an elastic medium, Composite Structures, Volume 131, pp. 672–681, 2015.
  11. Danilo Karličić, Dragan Jovanović, Predrag Kozić, Milan Cajić. Thermal and magnetic effects on the vibration of a cracked nanobeam embedded in an elastic medium, Journal of Mechanics of Materials and Structures, Volume 10, Issue 1, pp. 43-62, 2015.
  12. Danilo Karličić, Predrag Kozić, Sondipon Adhikari, Milan Cajić, Tony Murmu, Mihailo Lazarević. Nonlocal mass-nanosensor model based on the damped vibration of single-layer graphene sheet influenced by in-plane magnetic field, International Journal of Mechanical Sciences, Volume 96, pp. 132-142, 2015.
  13. Danilo Karličić, Milan Cajić, Tony Murmu, Predrag Kozić and Sondipon Adhikari. Nonlocal effects on the longitudinal vibration of a complex multi-nanorod system subjected to the transverse magnetic field, Meccanica, 1-17, 2015.
  14. Milan Cajić, Mihailo Lazarević. Fractional order spring/spring-pot/actuator element in a multibody system: application of an expansion formula, Mechanics Research Communications, Volume 62, pp. 44-56, 2014.
  15. Danilo Karličić, Milan Cajić, Tony Murmu and Sondipon Adhikari. Nonlocal longitudinal vibration of viscoelastic coupled double-nanorod systems, European Journal of Mechanics-A/Solids, Volume 49, pp. 183-196, 2015.
  16. Danilo Karličić, Tony Murmu, Milan Cajić and Sondipon Adhikari. Dynamics of multiple viscoelastic carbon nanotube based nanocomposites with axial magnetic field, Journal of Applied Physics, Volume 115, Issue 23, 2014.
  17. Danilo Karličić, Sondipon Adhikari, Tony Murmu and Milan Cajić. Exact closed-form solution for non-local vibration and biaxial buckling of bonded multi-nanoplate system, Composite Part B, Volume 66, pp. 328-339, 2014.
  18. Milan S. Cajić, Mihailo P. Lazarević. Determination of joint reaction forces in rigid multibody system, two different approaches, FME Transactions, Volume 44, Issue 2, pp. 165-173, 2016.
  19. Xiao-Jun Yang, Dumitru Baleanu, Mihailo P. Lazarević, Milan S. Cajić, Fractal boundary value problems for integral and differential equations with local fractional operators, Thermal Science, Volume 19, Issue 3, pp. 959-966, 2015.
  20. M. Cajić, An introduction to the theory of three dimensional curved dislocations, Scientific Technical Review, Volume 61, Issue 3-4, 2011. pp. 76-88.
Selected conference papers/abstracts
  1. Milan Cajić, Stepa Paunović, Danilo Karličić and Sondipon Adhikari Band structure of fractionally damped phononic crystals, 7th International Conference of Serbian Society of Mechanics, June 23 - 26, 2019 Sremski Karlovci, Serbia.
  2. Danilo Karličić, Milan Cajić, Stepa Paunović and Sondipon Adhikari Dynamics of visco-elastic metasurface with Bouc-Wen hysteresis, 7th International Conference of Serbian Society of Mechanics, June 23 - 26, 2019 Sremski Karlovci, Serbia.
  3. Milan Cajić, Mihailo Lazarević and Danilo Karličić, Nonlocal frequency analysis of a nanobeam under axial magnetic field using finite element method, 8th GRACM International Congress on Computational Mechanics, July 12 - 15, 2015 Volos, Greece.
  4. Mihailo Lazarević, Milan Cajić and Nikola Đurović, Biomechanical modelling and simulation of soft tissues using fractional memristive elements, 8th GRACM International Congress on Computational Mechanics, July 12 - 15, 2015 Volos, Greece.
  5. Milan Cajić, Danilo Karličić and Mihailo Lazarević, Nonlocal vibration of a fractional order viscoelastic nanobeam with attached nanoparticle, Fifth Serbian (30th YU) Congress on Theoretical and Applied Mechanics, June 14 - 17, 2015 Aranđelovac, Serbia.
  6. Milan Cajić, Danilo Karličić and Mihailo Lazarević, Nonlocal axial vibration of a fractional order viscoelastic nanorod, 8th European Nonlinear Dynamics Conference (ENOC 2014), July 6 - 11, 2014 Vienna, Austria.
  7. Danilo Karličić, Milan Cajić and Marija Stamenković Nonlinear vibration of nonlocal Kelvin-Voigt viscoelastic nanobeam embedded in elastic medium, 8th European Nonlinear Dynamics Conference (ENOC 2014), July 6 - 11, 2014 Vienna, Austria.
  8. Milan Cajić and Mihailo Lazarević, Equations of motion of robotic system with piezo-modified viscoelastic and magnetorheological elements of fractional order, Proceedings in Applied Mathematics and Mechanics, vol. 13, pp. 227-228, 2013.
  9. M. Cajić, D. Karličić , M. Lazarević, The state space model of a single-link flexible robot with a fractional order viscoelastic element in the joint, Proceedings of the 4th International Congress of Serbian Society of Mechanics, IconSSM 2013.
  10. J. Simonović, M. Cajić, D. Karličić, The forced vibrations of complex circular membrane system with visco-elastic coupling, Proceedings of the 4th International Congress of Serbian Society of Mechanics, IconSSM 2013.
  11. D. Karličić, M. Cajić, Energy Transfer Analysis of an Elastically Connected Circular Double-Membrane Compound System, 8th European Solid Mechanics Conference July 9-13, 2012., Graz, Austria.
  12. M. Cajić, D. Karličić, Nonlinear Free Vibrations of an Elastically Connected Circular Double-Membrane System, 8th Serbian Symposium in Non-linear Sciences, October 1-5, 2012, Belgrade, Serbia.
  13. D. Karličić, M. Cajić, Nonlinear Forced Vibrations of an Elastically Connected Circular Double-Membrane System, 8th Serbian Symposium in Non-linear Sciences, October 1-5, 2012, Belgrade, Serbia.
  14. M. Cajić, Parcijalne diferencijane jednačine u kontinuum teoriji krivolinijskih dislokacija. Zbornik radova sa simpozijuma Matematika i Primene, 27-28 maj 2011., Beograd.