# Department of Mechanics

The Department of Mechanics is part of the Faculty of Technical Sciences at the University of Novi Sad, Serbia

An interesting problem...

# Euler's disk...

Mechanics is a science that deals with motion and deformation of bodies under the action of forces. Its essential ingredients are axioms, theorems, proofs, definitions, principles, but at the heart of it, what mechanics really consist of, are problems and solutions.

## Forthcomming events

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### 2011-

- Challamel N., Zorica D., Atanackovic T.M. and Spasic D. T., On the fractional generalization of Eringen’s nonlocal elasticity for wave propagation, accepted for publication, Comptes Rendus de Mécanique, (2013).
- Grahovac N.M and Spasic D.T., Multivalued fractional differential equations as a model for an impact of twobodies, Journal of Vibration and Control, (2013).
- T. M. Atanackovic, M. Janev, S. Pilipovic, D. Zorica, Complementary variational principles with fractional derivatives. Acta Mech. 223, 685–704 (2012)
- T. M. Atanackovic, S. Konjik, Lj. Oparnica, D. Zorica, The Cattaneo-type space-time fractional heat conduction equation. Continuum Mech. Thermodyn. 24 293-311 (2012).
- T. M. Atanackovic, B. N. Novakovic, Z. Vrcelj, Application of Pontryagin’s principle to Bimodal Optimization of Nano Rods. Int. Journal of Structural Stability and Dynamics, 12, No 3, 1250012 (11 pages) (2012).
- T. M. Atanackovic, B. N. Novakovic, Z. Vrcelj, Shape optimization against buckling of micro- and nano-rods. Arch Appl Mech DOI 10.1007/s00419-012-0661-1 (2012).
- I. Stojanac, M. Drobac, Lj. Petrovic, T. M. Atanackovic, Predicting in vivo failure of rotary nickel-titanium endodontic instruments under cyclic fatigue. Dental Materials Journal, 31(4) 650–655 (2012).
- I. N. Sarcev, B. S. Petronijevic, T. M. Atanackovic, An incremental technique with improved marginal adaptation of dental composite resin. Acta of Bioengineering and Biomechanics 14 (3) 85-91 (2012).
- N. M. Grahovac, M. M. Zigic and D. T. Spasic (2012) On impact scripts with both fractional and dry friction type of dissipation, International Journal of Bifircation and Chaos, 22, 4, 1250076, DOI:10.1142/S0218127412500769.
- V.B. Glavardanov, D.T. Spasic, T.M. Atanackovic, Stability and optimal shape of Pflüger micro/nano beam. International Journal of Solids and Structures, 49, 2559–2567 (2012).
- T. M. Atanackovic, S. Pilipovic, B. Stankovic, A theory of Linear Differential equations with fractional Derivatives. Bulletin de l’Académie des sciences et arts. Classe des sciences mathématiques et naturalles, sciences mathématiques, 37, 73–97 (2012).
- M. M. Zigic (2012), Seismic response of a column-like structure with both fractional and dry friction type of dissipation, University of Novi Sad, PhD thesis.
- L. Cveticanin, Oscillator with nonlinear elastic and damping force, accepted for publication in Computers and Mathematics with Applications, 2011.
- Z. Srdjevic, L. Cveticanin, Identifying non-linear biomechanical models by multicriteria analysis, accepted for publication in Journal of Sound and Vibration, 2011.
- N. M. Grahovac (2011), Energy dissipation analysis in multiple impact problems, University of Novi Sad, PhD Thesis.
- T.M. Atanackovic, S. Pilipovic, D. Zorica, Distributed order fractional wave equation on a finite domain: creep and forced oscillations of a rod. Continuum Mech. Thermody., 23 305-318 (2011).
- T.M. Atanackovic, S. Pilipovic, D. Zorica, Distributed-order fractional wave equation on a finite domain. Stress relaxation in a rod. International Journal of Engineering Science, 49 175-190 (2011).
- T. M. Atanackovic, S. Pilipovic, Hamilton's principle with variable order fractional derivatives. Fractional Calculus and Applied Analysis. 14, No-1, 94-109 (2011).
- B. N. Novakovic, T. M. Atanackovic, On the optimal shape of a compressed column subjected to restrictions on the cross-sectional area. Struct Multidisc Optim 43 683-691 (2011).
- M. Janev, S. Pilipovic, T. Atanackovic, R. Obradovic, N. Ralevic, Fully fractional anisotropic diffusion for image denoising. Mathematical and Computer Modelling 54 (1-2), 729-741 (2011).
- T.M. Atanackovic, D.C. Dolicanin, S. Pilipovic, Forced oscillations of a single degree of freedom system with Fractional dissipation. Scientific Publications of the State University of Novi Pazar, Ser A: Appl. Math. Inform. And Mech. 3, 1 1-10, (2011).
- M. Janev, T.M. Atanackovic, S. Pilipovic, R. Obradovic, Image denoising by a direct variational minimization. EURASIP Journal on Advances in Signal Processing (2011), 2011:8 doi:10.1186/1687-6180-2011-8.
- T.M. Atanackovic, S. Konjik, Lj. Oparnica, D. Zorica, Thermodynamical Restrictions and Wave Propagation for a Class of Fractional Order Viscoelastic Rods. Abstract and Applied Analysis, Volume 2011, Article ID 975694, 32 pages doi:10.1155/2011/975694
- T.M. Atanackovic, A.P. Seyranian, Bimodal optimization with constraints: critical value of the constraint and post-critical congurations. Theoret. Appl. Mech., 38, 107-124 (2011).
- J. K. Popovic, D. Dolicanin, M.R. Rapaic, S.L. Popovic, S. Pilipovic, T.M. Atanackovic, A nonlinear two compartmental fractional derivative model. Eur J Drug Metab Pharmacokinet., DOI 10.1007/s13318-011-0057-6 (2011).
- T.M. Atanackovic, S. Konjik, Lj. Oparnica, D. Zorica, The Cattaneo type space-time fractional heat conduction equation. Continuum Mech. Thermodyn. DOI 10.1007/s00161-011-0199-4 (2011).
- G. Mitic, M. Kovac, D. Jurisic, V. Djordjevic, V. Ilic, I. Salatic, D. Spasic, A. Novakov Mikic, (2011), Clinical Characteristics and Type of Thrombophilia in Women with Pregnancy-Related Venous Thromboembolic Disease. Gynecol Obstet Invest, 72, p. 103-108
- John. T. Katsikadelis, "Boundary elements, theory and applications", Elsevier 2002, English to Serbian translation done by D.T. Spasic, Gradjevinska Knjiga, Beograd. 2011.
- A. A. Tikhonov, D. T. Spasic, K. A. Antipov, M. V. Sablina, (2011), Optimizing the electrodynamical stabilization method for a man-made Earth satellite, Avtomatika i Telemekhanika, 9, 2011, c. 112-121.
- D. T. Spasic (2011), A new impact model with both fractional and dry friction type of energy dissipation pattern, 4th Serbian-Greek Symposium "Recent Advances in Mechanics" Vlasina Lake, Serbia, July, 9-10.
- Sh.Kh.Soltakhanov, D.Spasic, M.P.Yushkov, S.A.Zegzhda (2011), On the possibility of a shockless motion control of a troley with pendulums, Third Serbian Congress on Theoretical and Applied Mechanics, Vlasina lake, Serbia, July 5-8.
- Sh.Kh.Soltakhanov, D.Spasic, M.P.Yushkov, S.A.Zegzhda (2011), Nonholonomic mechanics and motion control, Third Serbian Congress on Theoretical and Applied Mechanics, Vlasina lake, Serbia, July 5-8.
- Z. Rakaric, I. Kovacic, Approximations for Motion of the Oscillators with a Non-Negative Real-Power Restoring Force, Journal of Sound and Vibration 330 (2011) 321-336.
- I. Kovacic, Z. Rakaric, Study of Oscillators with a Non-Negative Real-Power Restoring Force and Quadratic Damping, Nonlinear Dynamics 64 (2011) 293-304.
- Z. Rakaric, Oscillators with Quasi-Constant Restoring Force, Meccanica 46 (2011) 1047-1053.
- L. Cveticanin, Analysis Technique for the Various Forms of the Duffing Equation. Sec.4, in the Duffing Equation: Nonlinear Oscillators and their Behaviour, Ed. I. Kovacic & M.J. Brennan, Wiley, 2011.
- L. Cveticanin, Vibration of the oscillator with integer and non-integer elastic and damping forces, Recent Advances in Mechanics, 4th Serbian-Greek Symposium, Short Communications, Vlasina lake-Surdulica, July 9-10, 2011, pp.39-40.
- L. Cveticanin, Review on mechanical modeling of the human voice production systems, 3rd International Congress of Serbian Society of Mechanics, 5-8 July, 2011, Vlasina Lake-Surdulica, Proc. 91-97.
- L. Cveticanin, R. Maretic, M. Zukovic, Dynamics of the discontinual cutting mechanism, ENOC 2011, 24-29 July 2011, Rome, Italy, Proceedings.
- L. Cveticanin, Pure odd-order oscillators with constant excitation, Journal of Sound and Vibration, Vol.330, 2011, 976-986.
- Z. Rakaric, I. Kovacic, Oscillators with Purely Non-Negative Real-Power Restoring Force: Approximations for Free and Forced Response via Elliptic Functions and Averaging, 7th European Nonlinear Dynamics Conference, July 24-29, Rome, Italy 2011.
- Z. Rakaric, I. Kovacic, On the Behaviour of Forced Oscillators with a Non-Negative Real-Power Restoring Force and Van der Pol Damping, 3th Serbian Congress on Theoretical and Applied Mechanics Vlasina Lake, Serbia, 5-8 July 2011.
- M. Zigic, N. Grahovac: Dynamical behavior for a polymer gel during impact. Fractional derivative viscoelastic model, Proceedings of Abstracts IConSSM 2011,The 3rd International Congress of Serbian Society of Mechanics, Vlasina Lake, 5-8 July, 2011. str. 173, UDK: 531/534(048), ISBN 978-86-909973-2-9.