# 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

ICFDA16 , International Conference on Fractional Differentiation and its Applications, Novi Sad, Serbia, 2016

Fractional Calculus for Modelling Phenomena from our Life, Workshop, Novi Sad, Serbia, September 2016

Register now in order to obtain most recent news ...

### Personal Data

**Srboljub Simić, Full Professor**

Location: Wing F/Room 210

Phone: +381 (0)21 485 2249

Fax: +381 (0)21 450 207

E-mail: ssimic@uns.ac.rs

Personal web page: http://sites.google.com/site/srboljubsimic/

**Education:**

- 1993 BSc in Mechanical Engineering, Faculty of Technical Sciences, University of Novi Sad
- 1997 MSc in Rational Mechanics, Mathematical Faculty, University of Belgrade
- 1999 PhD in Technical Sciences, Faculty of Technical Sciences, University of Novi Sad

**Didactic activity:**

- Mechanics (Electrical Engineering, I semester)
- Mechanics I (Civil Engineering, II semester)
- Fundamentals of Mechanics (Environmental Engineering, II sem.)
- Analytical Mechanics (Technical Mechanics, VII sem.)
- Modelling of Nonlinear Systems (Technical Mechanics, IX sem.)

**Books and lecture notes:**

- Analytical Mechanics: Dynamics, Stability, Bifurcations, FTN, Novi Sad 2006.
- Fundamentals of Mechanics, lecture notes in collaboration with R. Maretić, Novi Sad 2007.
- Fundamentals of Mechanics, in collaboration with R. Maretić, FTN, Novi Sad 2008.

**Editorial activity:**

- Proceedings IConSSM 2009 - 2nd International Congress of Serbian Society of Mechanics, Palić (Subotica), 1-5 June 2009, T. Atanacković , D. Spasić, S. Simić (Eds.) ISBN 978-86-7892-173-5

**Research interests:**

- Analytical Mechanics, Conservation Laws, Dynamical Systems and their Stability
- Calculus of Variations, Optimal Control
- Non-Linear Waves
- Thermomechanics of Irreversible Processes

**Graduate students:**

- Vladimir Miškov, Dynamic Absorbers with Infinitely Many Degrees of Freedom, 2003.
- Sonja Sredojev, Stability and Bifurcation Analysis of a Nonlinear Disc Brake System, 2005.
- Sanja Cvetinović, Stability Analysis of Synchronous Motion of Magnetic Gyroscope, 2008.
- Marina Railić, Kelvin-Helmholtz Problem of Hydrodinamics Stability, 2009.
- Milorad Panić, Dynamics and Stability of single-wheel braking, 2009.
- Biljana Urošević, Variational Methods of Solution of Differential Equations in Engineering Problems, 2009.
- Milena Savić, Stability of Stationary Motion of Levitron, 2009.

**Journal papers:**

- T.M. Atanackoviæ, S. Konjik, S. Pilipoviæ, S. Simiæ (2009), Variational problems with fractional derivatives: Invariance conditions and Nöther's theorem, Nonlinear Analysis: Theory, Methods and Applications, vol. 71, pp. 1504-1517.
- S.S. Simiæ (2009), Shock structure in continuum models of gas dynamics: stability and bifurcation analysis, Nonlinearity, vol. 22, pp. 1337-1366.
- T. Ruggeri, S. Simiæ (2009), Average temperature and Maxwellian iteration in multitemperature mixtures of fluids, Physical Review E, vol. 80 (2), 026317, pp. 1-9.
- S.S. Simić (2008), A Note on Shock Profiles in Dissipative Hyperbolic and Parabolic Models, Publications de l'Institut Mathématique, Nouvelle série, 84 (98), pp. 97-107
- T. Ruggeri, S. Simić (2007), On the Hyperbolic system of a mixture of Eulerian fluids: a comparison between single- and multi-temperature models, Mathematical Methods in the Applied Sciences, 30, pp. 827-849.
- S.S. Simić (2005), A variational approach to the shock structure problem, Theoretical and Applied Mechanics, 32 (1), pp. 39-63.
- T. Ruggeri, S. Simić (2004), Non Linear Wave Propagation in Binary Mixtures of Euler Fluids, Continuum Mechanics and Thermodynamics, 16, pp. 125-148.
- 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.
- S. Simic (2000), On Noetherian Approach to Integrable Cases of the Motion of Heavy Top, Bulletin T.CXXI de l'Academie Serbe des Sciences et des Arts, Classe de Sciences mathématiques et naturelles, Sciences mathématiques, No. 25, pp. 133-156.
- S.S. Simic (2000), A note on generalization of the Lewis invariant and the Ermakov systems, Journal of Physics A: Mathematical and General, 33, pp. 5435-5447.
- S.S. Simic (2000), Cubic invariants of one-dimensional Lagrangian systems, International Journal of Non-Linear Mechanics, 35 (2), pp. 333-345.
- T.M. Atanackovic, S.S. Simic (1999), On the optimal shape of a Pflüger column, European Journal of Mechanics, A/Solids, 18 (5), pp. 903-913.
- B.D. Vujanovic, T. Kawaguchi, S.S. Simic (1997), A Class of Conservation Laws of Linear Time-Dependent Dynamical Systems, TENSOR (NS), 58 (3), pp. 243-252.

**Conference papers:**

- S, Djaković, S. Simić (2009), A Note on Stability of Hovering Magnetic Top, Proceedings IConSSM 2009 - 2nd International Congress of Serbian Society of Mechanics, Palić (Subotica), 1-5 June 2009, pp. A-10:1-9
- S. Simić, D. Madjarević (2009), Stability and Bifurcation Analysis of Hyperbolic Traffic Flow Model, Proceedings IConSSM 2009 - 2nd International Congress of Serbian Society of Mechanics, Palić (Subotica), 1-5 June 2009, pp. B-07:1-6
- S. Simić, T. Ruggeri (2008), Hyperbolic multi-temperature model of gaseous mixtures - continuous shock structure and limiting behaviour, 3rd Serbian-Greek Symposium on Recent Advances in Mechanics - Book of Abstracts, Novi Sad, Serbia, 15-17 September 2008, pp. 45-46
- S. Simić (2008), Hyperbolic Multi-Temperature Model for Mixtures of Euler Fluids, WASCOM 2007 - 14th Conference on Waves and Stability in Continuous Media, Singapore: World Scientific, pp. 520-529, ISBN 978-981-277-234-3
- T. Ruggeri, S. Simić (2007), Mixture of Gases with Multi-temperature: Maxwellian Iteration, Proceedings of workshop Asymptotic Methods in Non Linear Wave phenomena in honour of Antonio Greco; Mondello (PA), 5-7 giugno 2006. World Scientific, Singapore.
- T. Ruggeri, S. Simić (2007), Mixture of Gases with Multi-temperature: Identification of a Macroscopic Average Temperature, Memorie dell'Accademia delle Scienze, Lettere ed Arti di Napoli. Proceedings of workshop Mathematical Physics Models and Engineering Sciences in honour of Pasquale Renno; Napoli 22-23 giugno 2006. Liguori Editore - Napoli (2007).
- S. Simić T Ruggeri (2007), Shock Structure in a Hyperbolic Mixture of Binary Mixture of Non-Reacting Gases, Proceedings of 1st International Congress of Serbian Society of Mechanics, 11-13th April 2007, Kopanoik, Serbia, Eds. D. Šumarac and D. Kuzmanović.
- T. Atanacković, S. Konjik, S. Pilipović, S. Simić (2007), Variational Problems with Fractional Derivatives: Euler-Lagrange Equations and Invariance Conditions, MM-VII Symmetries and Mechanics - Book of Abstracts, Novi Sad, 24-27 September 2007
- 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.
- T. Ruggeri, S. Simić (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 (link prema 2004_RuggSimic_Wascom03.pdf)
- 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.
- 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.
- 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.
- N. Teofanov, S. Simić (1997), Approximate Solutions of Biharmonic Equation Using Wavelet Subspaces, Proceedings of XI Conference on Applied Mathematics, PriM '96, Budva, 411-419.
- S.S. Simić (1997), O nekim uopštenjima Luisovih integrala, Zbornik radova XXII Jugoslovenskog kongresa Teorijske i primenjene mehanike, Vrnjačka Banja '97, A. Opšta mehanika, 150-155.
- S.S. Simić (1994), O uticaju trenja na optimalni oblik obrtnog tela pri hiperzvučnom strujanju, Simpozijum iz opšte mehanike, Zbornik radova, Novi Sad, 153-160.