# 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

**September 2007 · 17-23, Applications of Fractional Calculus in Mechanics**

Summer school sponsored by DAAD Foundation ...

**September 2007 · Symmetries and Mechanics**

Conferrence organized by PMF and FTN

Novi Sad...

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### 2001-2005

- R. Maretic: Transverse vibration and stability of an eccentric rotating circular plate. Journal of Sound and Vibration, 2005, 280, 467- 478.
- L. Cveticanin, Approximate solution of a strongly non-linear complex differential equation, Journal of Sound and Vibration, Vol.284, No.1-2, 2005, pp.503-512.
- L. Cveticanin, The homotopy-perturbation method applied for solving complex-valued differential equations with strong cubic non-linearity, Journal of Sound and Vibration, Vol.285, 2005, 1171-1179.
- L. Cveticanin, Free vibration of a Jeffcott rotor with pure cubic non-linear elastic property of the shaft, Mechanism and Machine Theory, Vol.40, 2005, 1330-1344.
- T. Atanackovic and S. Pilipovic, On a class of equations arising in linear viscoelasticity theory. Zeitschrift Angew. Math. Mech. (ZAMM) 85, 748-754 (2005).
- T. M. Atanackovic and D. Braun, The strongest rotating rod. International Journal of Non-Linear Mechanics 40, 747-754 (2005).
- T. M. Atanackovic, M. Budincevic, S. Pilipovic, On a Fractional distributed-order oscillator. J. Phys. A: Math. Gen. 38, 6703-6713 (2005).
- S.S. Simić (2005), A variational approach to the shock structure problem, Theoretical and Applied Mechanics, 32 (1), pp. 39-63.
- Lj. Petrovic, D. T. Spasic and T. M. Atanackovic (2005), ''On a mathematical model of a human root dentin'', Dental Materials, 21, 125-128
- D. T. Spasic, Analysis of impact dynamics by use of the regularized model approach, Conference on Nonconservative and Dissipative Problems in Mechanics - Book of Abstracts, Novi Sad, 11-14 September 2005.
- S.S. Simić (2005), Shock Structure in Extended Thermodynamics - Linear Stability and Bifurcation Analysis, Conference on Nonconservative and Dissipative Problems in Mechanics - Book of Abstracts, Novi Sad, 11-14 September 2005.
- B.S. Bačlić, B.D. Vujanović, The Field Method for Arbitrary Rheo-Linear Dynamical Systems, 25-th Yugoslav Congress on Theoretical and Applied Mechanics, Novi Sad, Serbia and Montenegro, June 1-3, 2005.
- B. N. Novakovic and T. M. Atanackovic, On Stability of the Column with a step change in a cross section. Iranian Journal of Science & Technology, Transactions B, 28, No B4 479-488 (2004).
- D. T. Spasic and T. M. Atanackovic, Bimodal optimization of a compressed rotating rod. Acta Mechanica, 173, 77-87 (2004).
- B. Stankovic, T. M. Atanackovic, An expansion formula for fractional derivatives. Fractional Calculus and Applied Analysis 7, 365-378 (2004).
- B. Stankovic and T. M. Atanackovic, On an Inequality arising in Fractional oscillator Theory. Fractional Calculus and Applied Analysis, 7, 11-19 (2004).
- T. M. Atanackovic, V. Glavardanov, Optimal shape of heavy compressed column. Journal of Struct.Multidisc. Optim. 28, 388-396 (2004).
- T. M. Atanackovic and B. Stankovic, On a system of differential equations with fractional derivatives arising in rod theory. Journal of Physics A: Mathematical and General, 37, No 4, 1241-1250 (2004).
- T. M. Atanackovic, On the optimal shape of the compressed rotating rod. Meccanica 39, 147-157 (2004).
- R. B. Maretic and V. B. Glavardanov: Stability of a Rotating Heated Circular Plate with Elastic Support. Journal of Applied Mechanics, 2004, 71, 896- 899.
- T. M. Atanackovic, D. T. Spasic, On a viscoelastic compliant conctact impact model. Juornal of Applied Mechanics (transactions of ASME), &1, 134-138 (2004).
- T. M. Atanackovic and B. Stankovic, Stability of an Elastic rod on a Fractional derivative type of Foundation. Journal of Sound and Vibration 227, 149-161 (2004).
- Б. Д. Вујановић. О проблему брахистохроне и циклоидног клатна, Универзитет у Новом Саду, Факултет техничких наука, едиција техничке науке, монографије, Улога и значај професора Живојина Ћулума у популаризације науке, Нови Сад, 2004, 71-85.
- D. T. Spasic, M. Nedeljkov and M. Milutinovic (2004), "A note on airplane landing problem", Proceedings of the First IFAC workshop on Fractional Differentiation and Applications", Bordeaux, France. p.626-629, (Keywords: Nonlinear Fractional Differential Equations)
- T. Ruggeri, S. Simić (2004), Non Linear Wave Propagation in Binary Mixtures of Euler Fluids, Continuum Mechanics and Thermodynamics, 16, pp. 125-148.
- T. Ruggeri, S. Simic (2004), Non Linear Wave Propagation in Binary Mixtures of Euler Fluids, “WASCOM 2003” - 12th Conference on Waves and Stability in Continuous Media, Singapore: World Scientific, pp. 455-462, ISBN 981-238-748-X
- S.S. Simić (2004), Shock Structure in Hyperbolic Dissipative Systems, GF 2004 - International Conference on Generalized Functions - Book of Abstracts, Novi Sad 22-28 September 2004, p. 64, Novi Sad.
- B.D. Vujanović, T.M. Atanackovic, An introduction to modern variational techniques in Mechanics, Birkhauser, Boston, 2004, c. 346 pages.
- L. Cveticanin, Vibrations of a free two-mass-system with quadratic non-linearity and a constant excitation force, Journal of Sound and Vibration, Vol.270, No.1-2, 2004, pp.441-449.
- L. Cveticanin, Free vibration of a strong non-linear system described with complex function, Journal of Sound and Vibration, Vol.277, No.4-5, 2004, pp.815-824.
- L. Cveticanin, A new approach for solving of a complex-valued differential equation, Journal of Sound and Vibration, Vol.278, No.4-5, 2004, pp.1181-1195.
- L. Cveticanin, A qualitative analysis of the quasi-linear one-degree-of-freedom system, European Journal of Mechanics, A/Solids, Vol.23, 2004, pp.667-675.
- L. Cveticanin, Vibrations of the non-linear oscillator with quadratic non-linearity, Physica A, Vol.341, 2004, pp.123-135.
- Z. Srdjevic, L. Cveticanin, Entropy compromise programming method for parameter identification in the seated driver biomechanical model, Int. Journal of Industrial Ergonomics, Vol.34, No.4, pp.307-318, 2004.
- S.S. Simić, V.M. Miškov (2003), Forced Transverse Vibrations of Elastic Beams and their Dynamic Absorption, Proceedings of 24th Congress of Theoretical and Applied Mechanics - YUMECH, Belgrade 2003. (Izdato na CD-u)
- S.S. Simić (2003), Non Linear Wave Propagation in Binary Mixtures of Euler Fluids, Conference on Mathematical Methods in Some Models of Mechanics - Book of Abstracts, Novi Sad 7-9 October 2003, Novi Sad.
- B.S.Baclic, B.D.Vujanović, The Hamilton-Jacobi method for arbitrary rheo-linear dynamical systems, Acta Mechanica 163, 51-79, 2003.
- Božidar D. Vujanović, Inaugural Lectures of Newly-Elected Full Members of the Academy, Extraid du Bulletin T. CXXIV de l'Academie serbe des sciences et des arts, Classe des sciences mathematiques et naturelles, Sciences naturelles, No. 40, Beograd 2003, 108-124.
- T. M. Atanackovic, A. Guran,
*Lectures on Elasticity Theory*, Sankt Petersburg University Press 2003 (book in Russian). - T. M. Atanackovic, Z. D. Jelicic, Optimal shape and deformations of a lifting line with winglets. Bulletin de l'Académie Serbe des Sciences et des Arts. Classe des Sciences techniques 29, 57-79 (2003).
- T. M. Atanackovic, On a Distributed derivative model of a Viscoelastic Body. Comptes Rendus de L'Academie des Sciences, Paris, Mechanics, 331 No 10, 687-692 (2003).
- B. Stankovic and T. M. Atanackovic, On a viscoelastic rod with constitutive equation containing fractional derivative of two different orders. Mathematics and Mechanics of Solids, 9, 629-656 (2003).
- Cveticanin, L., Vibrations of the rotor with non-linear properties, Facta Universitatis, Ser. Mechanics, Automatic Control and Robotics, Vol.3, No.14, 2003. 943-950.
- L. Cveticanin, Analytic solution of the system of two coupled differential equations with the fifth-order non-linearity, Physica A, Vol.317, No.1-2, pp.83-94, 2003.
- L. Cveticanin, Forced non-linear vibrations of a symmetrical two-mass-system, Journal of Sound and Vibration, Vol.265, No.2, 451-458, 2003.
- L. Cveticanin, Vibrations of the system with quadratic non-linearity and a constant excitation force, Journal of Sound and Vibration, Vol.261, No.1, pp.169-176, 2003.
- Radovic R., Spasic D.T., Karadzic B., Novakovic B., Atanackovic J., Jelicic Z.. and Tepavcevic B., (2002), ''New challenges and opportunities for the city of Novi Sad'', Coordinated by T. Atanackovic, The Danube Commision and The University of Novi Sad, (monograph - 157 pages in English and Serbian)
- D. T. Spasic and N. C. Charalambakis (2002): "Forced vibrations with fractional type of dissipation", Proceedings of the International Conference on Nonsmooth/Nonconvex Mechanics with Applications in Engineering, Thessaloniki, p. 323-330
- D. T. Spasic (2002): "Optimal shape of elastic rod against buckling under compression and non-conservative torsion", Proceedings of the International Conference on Nonsmooth/Nonconvex Mechanics with Applications in Engineering, Thessaloniki, p. 249-254).
- S.S. Simic (2002), On the symmetry approach to polynomial conservation laws of one-dimensional Lagrangian systems, International Jounal of Non-Linear Mechanics, 37, pp. 197-211.
- I Mitic, ..., D.T. Spasic, ..., (2002), Long term survival in lupus nephropathy, Serbian Archives of Medicine, Journal of Serbian Medical Society, Vol 130, 32-37
- T. M. Atanackovic, A modified Zener model of a viscoelastic body. Continuum Mechanics and Thermodynamics, 14, 137-148 (2002).
- Lomen, L. Cveticanin, J. Hodolic, M. Stevic, Software tool for determination of noise level in industrial plants, Acta Mechanica Slovaca, Vol.6, 2002, 165-168.
- L. Cveticanin, The motion of a two-mass system with non-linear connection, Journal of Sound and Vibration, Vol.252, No.2, pp.361-369, 2002.
- T. M. Atanackovic, Stability Bounds and Optimal Shape of Elastic rods. In Modern Problems of Structural Stability, pp. 1-56. Edited by: A. Seyranian and Isaac Elishakoff. International Centre for Mechanical Sciences, Courses and Lectures No 436, Springer Wien, New York, 2002.
- B. Stankovic, T. M. Atanackovic, Dynamics of a Rod made of Generalized Kelvin-Voigt material. Journal of Mathematical Analysis and Applications, 268, 550-563 (2002).
- T. M. Atanackovic, A Generalized model for the uniaxial isothermal deformation of a viscoelastic body. Acta Mechanica, 159, 77-86 (2002).
- T. M. Atanackovic, B. Stankovic, Dynamics of a Viscoelastic rod of Fractional Derivative Type. Zeitschrift Angew. Math. Mech. (ZAMM), 82, 377-386 (2002).
- T. M. Atanackovic, V. B. Glavardanov, Buckling of a twisted and compressed rod. International Journal of Solids and Structures, 39, 2987-2999 (2002).
- B. Stankovic, T. M. Atanackovic, On a Model of a Viscoelastic rod. Fractional Calculus & Applied Analysis, 4, 501-522 (2001).
- V. B. Glavardanov and T. M. Atanackovic, Optimal shape of a twisted compressed rod. Eur. J. Mech., A/Solids, 20, 795-809 (2001).
- T. M. Atanackovic, On a Vujanovic-type variational principle with application to rod theory. Quarterly J. Mechanics Applied Mathematics 54 1-11 (2001).
- T. M. Atanackovic, On the optimal shape of the rotating rod. Journal of Applied Mechanics (transactions of ASME) 86, 860-864 (2001).
- D. T. Spasic and T. M. Atanackovic, (2001): ''A model for three spheres in colinear impact'', Archive of Applied Mechanics Ingenieur-Archive, Springer-Verlag, 71, 327-340
- N. Teofanov, S. Simić (2001), Approximate Solution of Biharmonic Equation Using Wavelet Subspaces, First SIAM-EMS Conference Applied Mathematics in our Changing World, Poster Session, Berlin.
- L. Cveticanin, Dynamic buckling of a single-degree-of-freedom system with variable mass, European Journal of Mechanics A/Solids, Vol.20, No.4, 2001.
- L. Cveticanin, Analytical solutions of the system of two coupled pure cubic non-linear oscillators equations, Journal of Sound and Vibration, Vol.245, No.3, pp. 571-580, 2001.
- L. Cveticanin, Analytic approach for the solution of the complex-valued strong non-linear differential equation of Duffing type, Physica A, Vol.297, No.3-4, pp. 348-360, 2001.
- L. Cveticanin, Vibrations of a coupled two-degree-of-freedom system, Journal of Sound and Vibration, Vol.247, No.2, pp.279-292, 2001.
- Baclic, B.S., Dragutinovic, G.D. "Operation of Counterflow Regenerators", Book Vol. 4 in Series "Developments in Heat Transfer", Computational Mechanics Publications, Southampton, 1998.
- Mitrovic, J., Maletic, B. and Baclic, B.S. Some peculiarities of the asymmetric Graetz problem, International Journal of Engineering Science, Vol. 44, No. 7 2006. pp. 436-455.
- R. Maretić, Solved problems in Kinematics, FTN Press, Novi Sad, CIP 531.1 (076.58), p. 211, (in Serbian), 2001.
- R. B. Maretic and T. M. Atanackovic: Buckling of Column with Base Attached to Elastic Half-Space. Journal of Engineering Mechanics, 2001, 127, 242- 247.