• Name and Family
    • Rasoul Shabani
  • Degree
    • PHD
  • Academic Degree
    • Professor
  • Department
    • Department of Mechanical Engineering
  • E-mail:
    • r.shabani@urmia.ac.ir
 Short Bioghraphy           

Rasoul Shabani received his B. S. degree in Mechanical engineering from KNT University of technology in 1993. He received his M. S. in 1996 and his Ph.D in 2006 from Sharif University of Technology, Iran. He is now a Professor in the mechanical engineering Department at Urmia University. His research interest includes fluid structure interaction, chaotic vibrations, and nonlinear dynamics and control of MEMS and NEMS.  

         
     Research and Education Resume
رزومه فارسی
Academic Education/Training (1)
Journal Articles (66)
Conference Papers/Abstracts/Posters (20)
Research Projects (6)
Inventions/Patents (1)
Courses Taught (7)
   
  • Name and Family
  • Rasoul Shabani
  • Degree
  • PHD
  • Academic Degree
  • Professor
  • Department
  • Department of Mechanical Engineering
  • E-mail:
  • r.shabani@urmia.ac.ir
 
        Short Bioghraphy

Rasoul Shabani received his B. S. degree in Mechanical engineering from KNT University of technology in 1993. He received his M. S. in 1996 and his Ph.D in 2006 from Sharif University of Technology, Iran. He is now a Professor in the mechanical engineering Department at Urmia University. His research interest includes fluid structure interaction, chaotic vibrations, and nonlinear dynamics and control of MEMS and NEMS.  

 
 
         
     Research and Education Resume

Academic Education/Training (1)

1- "PHD in Mechanical engineering(2006)", Sharif university of technology, Tehran, Iran (www.sharif.ir).
Journal Articles (66)

1-H. Etemadi, M. Fathalilou, R. Shabani, G. Rezazadeh, "A study on the size-dependent behavior of electrostatic microbeams immersed in incompressible fluid", Modares Mechanical Engineering, 2017, 17(1), 185-192 (In Persion).

2-I. J. Pournaki, G. Rezazadeh, M. Zamanzadeh, R. Shabani, "Parametric Thermally Induced Vibration of an Electrostatically Deflected FGM Micro-Beam", International journal of applied mechanics, 2016, 8(8), 22 pages..

3-A. Amiri, G. Rezazadeh, R. Shabani, A. Khanchehgardan, "On the Stability of an Electrostatically-Actuated Functionally Graded Magneto-Electro-Elastic Micro-Beams Under Magneto-Electric Conditions", Journal of Solid Mechanics, 2016, 8(4) , 756-772..

4-A. Veysi, R. Shabani, G. Rezazadeh, "Nonlinear Vibrations of Micro Doubly Curved Shallow Shells Based on the Modified Couple Stress Theory", Nonlinear Dynamics, 2017, 87(3), 2051-2065..

5-F.G. Golzar, R. Shabani, S. Tariverdilo, "Stress Analyses in Single Deck and Double Deck Floating Roofs Subjected to Earthquake Ground Motions", Scientia Iranica B, 2017, , 24(2), 727-739.

6-A. Amiri, N. Saeedi, M. Fakhari, R. Shabani, "Size-dependent Vibration and Instability of Magneto-electro-elastic Nano-scale Pipes Containing an Internal Flow with Slip Boundary Condition", International Journal of Engineering, 2016, 29(7), 923-932..

7-D. Abdollahi, K. Ivaz, R. Shabani, "A Numerical Improvement in Analyzing the Dynamic Characteristics of an Electrostatically Actuated Micro-beam in Fluid Loading with Free Boundary Approach", International Journal of Engineering A, 2016, 29(7), 897-905..

8-G. Jabbari, R. Shabani, G. Rezazadeh, "Frequency Response of an Electrostatically Actuated Micro Resonator in Contact with Incompressible Fluid", Microsystem Technologies, 2016, DOI: 10.1007/s00542-016-2965-5..

9-G. Jabbari, R. Shabani, G. Rezazadeh, "Nonlinear ¬Vibrations of an Electrostatically Actuated Micro Resonator in an Incompressible Fluid Cavity based on the Modified Couple Stress Theory", Journal of Computational and nonlinear dynamics, ASME Journal, 2016, 11(4), 041029 (8 pages).

10-Sahra Azma, Ghader Rezazadeh, Rasoul Shabani, Elnaz Alizadeh-Haghighi, "Viscous fluid damping in a laterally oscillating finger of a comb-drive micro-resonator based on micro-polar fluid theory", Acta Mechanica Sinica, 2016, 32(3), 397-405..

11-A. Amiri, I. J. Pournaki, E. Jafarzadeh, R. Shabani, G. Rezazadeh, "Vibration and instability of fluid-conveyed smart micro-tubes based on magneto-electro-elasticity beam model", Microfluidics and Nanofluidics, 2016, 20(2), 1-10. .

12-A. Amiri, S. M. Fakhari, I. J. Pournaki, G. Rezazadeh, R. Shabani, "Vibration Analysis of Circular Magneto-electro-elastic Nano-plates Based on Eringen’s Nanlocal theory", International Journal of Engineering, 2015, 28(12), 1808-1817..

13-S. Mahjouri, R. Shabani, G. Rezazadeh, "Vibration analysis of an air compressor based on a hypocycloidal mechanism: An experimental study", International Journal of Engineering, 2015, 28(11), 1687-1692..

14-A. Amiri, R. Shabani, G. Rezazadeh, "Coupled vibrations of a magneto-electro-elastic micro diaphragm in micro-pumps", Microfluidics and Nanofluidics, 2016, 20(1), 20:18..

15-D. Abdollahi, S. Ahdiaghdam, K. Ivaz, R. Shabani, "A theoretical study for the vibration of a cantilever microbeam as a free boundary problem", Applied mathematical modeling, 2016, 40(3), 1836-1849..

16-Mehrdad Sheikhlou, R. Shabani, Ghader Rezazadeh, "Nonlinear analysis of electrostatically actuated diaphragm- type micropumps", Nonlinear Dynamics, 2015, 83(1), 951-961..

17-A. Shah-Mohammadi-Azar, R. Shabani, G. Rezazadeh, "A novel micro-cantilever based angular speed sensor controlled piezoelectrically and tuned by electrostatic actuators", Sensing and Imaging, 2015, 6(1), 16:8.

18-S. Valilou, G. Rezazadeh, R. Shabani, "Softening Effect of the Nonlocality against the Hardening Effect of the Stretching in a Capacitive Micro-beam", Scientia Iranica B, 2016, 23(1), 285-294..

19-B. Abbasnejad, R. Shabani, G. Rezazadeh, "Stability analysis of a piezoelectrically actuated micro-pipe conveying fluid", Microfluidics and Nanofluidics, 2015, 19(3), 577-584..

20-H. Azimloo, G. Rezazadeh, R. Shabani, "Development of a Capacitive angular velocity sensor for the Alarm and Trip Applications", Measurement, 2015, 63, 282-286. .

21-Mehrdad Sheikhlou, Ghader Rezazadeh, R. Shabani, "Study of Torsional Vibration of Radially FGM Micro Shaft", International Journal of Mechanic Systems engineering, 2013, 3(1), 1-5..

22-Mehrdad Sheikhlou, Ghader Rezazadeh, R. Shabani, "Analysis of bias DC voltage effect on thermoelastic damping ratio in short nano-beam resonators based on nonlocal elasticity theory and dual-phase-lagging heat conduction model", Meccanica, 2015, 50(12), 2963-2976..

23-M. Maroofi, S. Najafi, R. shabani, G. Rezazadeh, "Investigation of thermoelastic damping in the longitudinal vibration of a micro beam", International Journal of Engineering, 2015, 28(2), 314-320..

24-M. R. Zamanzadeh, G. Rezazadeh, I. Jafarsadeghi Pournaki, R. Shabani, "Thermally induced vibration of a functionally graded micro-beam subjected to a moving laser beam", International journal of applied mechanics, 2014, 6(6), 1450066(16 pages). .

25-S. Valilou, G. Rezazadeh, R. Shabani, M. Fathalilou, "Bifurcation Analysis of a Capacitive Micro-resonator Considering Non-local Elasticity Theory", International Journal of Nonlinear Science and Numerical Simulation, 2014, 15(5), 241-249..

26-H. Azimloo, G. Rezazadeh, R. Shabani, M. Sheikhlou, "Bifurcation Analysis of an Electro-statically Actuated Micro-Beam in the Presence of Centrifugal Forces", International Journal of Nonlinear Mechanics, 2014, 67, 7-15..

27-I. Jafarsadeghi Pournaki, G. Rezazadeh, M. R. Zamanzadeh, R. Shabani, "Thermally induced vibration of an electro-statically Deflected FG micro-beam considering thermo- elastic coupling effect", Scientia Iranica, 2014, 21(3), 647-662..

28-F. Karami, H. Salarieh, R. Shabani, "Tracking and shape control of a micro-cantilever using electrostatic actuation", International Journal of Engineering, 2014, 27(9), 1438-1448..

29-R. Shabani, F. G. Golzar, S. Tariverdilo, H. taraghi, I. Mirzaei, "Hydroelastic Vibration of a Circular Diaphragm in the Fluid Chamber of a Reciprocating Micro Pump", International Journal of Engineering, 2014, 27(4), 643-650..

30-F. G. Golzar, R. Shabani, H. Hatami, G. Rezazadeh, "Dynamic Response of an Electrostatically Actuated Micro-Beam in an Incompressible Fluid Cavity", Journal Of Microelectromechanical systems JMEMS, 2014, 23(3), 555-562. .

31-A. Shah-Mohammadi-Azar, G. Rezazadeh, R. Shabani, "Effect of Electric Potential Distribution on Electromechanical Behavior of a Piezoelectrically sandwitched Micro-beam", Journal of Solid Mechanics, 2012, 4(1), 48-58..

32-M. R. Zamanzadeh, G. Rezazadeh, I. JafarSadeghi-pournaki, R. Shabani, G. Rezazadeh, "Static and dynamic stability modeling of a capacitive FGM micro-beam in presence of temperature changes", Applied Mathematical modeling, 2013, 37(10-11), 6964-6978..

33-A. Shah-Mohammadi-Azar, H. Azimloo, G. Rezazadeh, R. Shabani, B. Tousi, "On the Modeling of a Capacitive Angular Speed Measurement Sensor", Measurement, 2013, 46(10), 3976-3981. .

34-B. Abbasnejad, , G. Rezazadeh, R. Shabani, "Stability Analysis of a Capacitive FGM Micro-beam Using Modified Couple Stress Theory", Acta Mechanica Solidia Sinica, 2013, 26(4), 427-440..

35-M. Najafi, G. Rezazadeh, R.shabani, "Thermoelastic damping in a capacitive micro-beam resonator considering hyperbolic heat conduction model and modified couple stress theory", Journal of Solid Mechanics, 2012, 4(4), 386-401..

36-B. Abbasnejad, R. Shabani, G. Rezazadeh, "Stability Analysis in Parametrically Excited Electrostatic Torsional Micro-Actuators", International Journal of Engineering, 2014, 27(3), 487-498..

37-R. Shabani, "Stress patterns in single deck floating roofs subjected to ground motion accelerations", International Journal of Engineering, 2013, 26(12), 1495-1504..

38-A. Shah-Mohammadi-Azar, A. Khanchehgardan, G. Rezazadeh, R. Shabani, "Mechanical Response of a Piezoelectrically Sandwiched Nano-Beam Based on the Non-Local Theory", International Journal of Engineering, 2013, 26(12), 1515-1524. .

39-A. Khanchehgardan, A. Shah-Mohammadi-Azar, G. Rezazadeh, R. Shabani, "Thermoelastic damping in nano-beam resonators based on nonlocal theory", International Journal of Engineering, 2013, 26(12), 1505-1514..

40-A. Khanchehgardan, G. Rezazadeh, R. Shabani, "Effect of mass diffusion on the damping ratio in a functionally graded micro-beam", Composite Structures, 2013, 106, 15-29.

41-R. Shabani, N. Sharafkhani, S. Tariverdilo, G. Rezazadeh, "Dynamic Analysis of an Electrostatically Actuated Circular Micro-Plate Interacting with Compressible Fluid", Acta Mech, 2013, 224, 2025–2035..

42-R. Shabani, H. Hatami, F. G. Golzar, S. Tariverdilo , G. Rezazadeh, "Coupled vibration of a cantilever micro-beam submerged in a bounded incompressible fluid domain", Acta Mech, 2013, 224, 841–850..

43-I. JafarSadeghi-pournaki, M. R. Zamanzadeh, R. Shabani, G. Rezazadeh, "Mechanical Behavior of a FGM Capacitive Micro-Beam Subjected to a Heat Source", Journal of Solid mechanics, 2011, 3(2), 158-171..

44-Mehrdad Sheikhlou, Ghader Rezazadeh, R. Shabani, "Stability and torsional vibration analysis of a micro-shaft subjected to an electrostatic parametric excitation using variational iteration method", Meccanica, 2013, 48:259–274.

45-M. Jahromi Shirazi, H. Salarieh, A. Alasty and R. Shabani, "Tip tracking control of a micro-cantilever Timoshenko beam via piezoelectric actuator", Journal of Vibration and Control, 2012, 19(10), 1561 - 1574 .

46-N. Sharafkhani, R. Shabani, S. Tariverdilo and G.Rezazadeh, "Stability Analysis and Transient Response of Electrostatically Actuated Micro-beam Interacting with Bounded Compressible Fluids", Journal of Applied Mechanics, ASME Journal, 2013, 80(1), 011024 (Nov 19, 2012) (7 pages).

47-F.G. Golzar, R. Shabani, S. Tariverdilo, and G. Rezazadeh, "Sloshing Response of Floating Roofed Liquid Storage Tanks Subjected to Earthquakes of Different Types", J. Pressure Vessel Technology, ASME Journal, 2012, 134(5), 051801 (13 pages).

48-H. Mirzaee, Abdolrahman Dadvand, I. Mirzaee, R. Shabani, "Heat transfer enhancement in microchannels using elastic vortex generator", Journal of Enhanced Heat Transfer, 2012, 19(3), 199-211. .

49-S. Tariverdilo, M. Shahmardani, J. Mirzapour, R. Shabani, "Asymmetric free vibration of circular plate in contact with incompressible fluid", Applied Mathematical Modeling, 2013, 37(1-2), 228-239..

50-R. Shabani, F.G. Golzar, "Large Deflection Analysis of Floating Roofs Subjected to Earthquake Ground Motions", Nonlinear Analysis: Real World Applications, 2012, 13, 2034-2048..

51-Sharafkhani Naser, Rezazadeh Ghader, Shabani R., "Study of Mechanical Behavior of Circular FGM Micro-plates under Nonlinear Electrostatic and Mechanical Shock Loadings ", Acta Mechanica, 2012, 223(3), 579-591.

52-R. Shabani , S. Tariverdilo, and H. Salarieh, "Nonlinear Vibrations and Chaos in Floating Roofs", Computational and nonlinear dynamics ASME Journal, 2012, 7(2), (021012-pages 1-13)..

53-R. Shabani, N. sharafkhani, and V. M. Gharebagh, "STATIC AND DYNAMIC RESPONSE OF CARBON NANOTUBE-BASED NANO-TWEEZERS", International Journal of Engineering, 2011, 24(4), 367-379..

54-Hadi Madinei, Ali-Asghar Keyvani-Janbahan, Mehdi Atashparva, R. Shabani, Ghader Rezazadeh, "Modeling of a Bio Sensor Based on Detection of Antigens Concentration Using an Electrically Actuated Micro Cantilever", Sensors & Transducers Journal, 2011, 125(2), 238-246..

55-Sonia Ahangar, Ghader Rezazadeh, R. Shabani, Goodarz Ahmadi, Alireza Toloei, "On the Stability of a Microbeam Conveying Fluid Considering Modified Couple Stress Theory", International Journal of Mechanics and Materials in Design, 2011, 7(4), 327–342.

56-G. Rezazadeh, H. Madinei, R. Shabani, "Study of Parametric Oscillation of an Electrostatically Actuated Microbeam Using Variational Iteration Method", Applied Mathematical Modeling, 2012, 36, 430-443..

57-R. Shabani, S. Tarverdilo, G. Rezazadeh, A. P. Aghdam, "Nonlinear vibrations and chaos in electrostatic torsional actuators", Nonlinear Analysis: Real World Applications, 2011, 12(6), 3572-3584.

58-S. Tarverdilo, J. Mirzapour, M. Shahmardani, R. Shabani, and C. Gheyretmand, "Vibration of submerged floating tunnels due to moving loads", Applied Mathematical Modeling, 2011, 35, 5413–5425..

59-R. Shabani, S. Tarverdilo, H. Salarieh, G. Rezazadeh, "Importance of the Flexural and Membrane Stiffnesses in the Large Deflection Analysis of Floating Roofs", Applied Mathematical modeling, 2010, 34, 2426–2436..

60-Rezazadeh G, Fathalilou, M., Shabani R., Tarverdilo, S., Talebian S., "Dynamic Characteristics and Forced Response of an Electrostatically-Actuated Microbeam Subjected to Fluid Loading", Journal of Microsystem Technologies, 2009, 15, 1355-1363..

61-Fathalilou, M., Rezazadeh, G., M., Shabani, R., "Static and Dynamic Stabilities of a Microbeam Actuated by a Piezoelectric Voltage", Journal of Microsystem Technologies, 2009, l5, 1785-1791..

62-Tarverdilo, S., Shabani, R., Salarieh H., "EFFECT OF FLEXURAL AND MEMBRANE STIFFNESSES ON THE ANALYSIS OF FLOATING ROOFS", International Journal of Engineering: Transactions A, 2010, 23(1), 56-64..

63-Shabani, R., Tarverdilo, S., Salarieh, H., "Nonlinear Identification of electro-magnetic force Model", journal of Zhejiang university-SCIENCE A (Appl Phys & Eng), 2010, 11(3), 165-174..

64-Alasty, A., Shabani, R., "Chaotic Motions and Fractal Basin Boundaries in Spring-Pendulum System", Nonlinear Analysis: Real World Applications, 2006, 7(1), 81-95..

65-Shabani, R., Salarieh, H., Alasty, A., "Comments on: identification of a nonlinear electromagnetic system (An experimental study)", Journal of Sound and Vibration, 2006, 290(3-5), 1333-1334.

66-Alasty, A, Shabani, R., "Nonlinear Parametric Identification of Magnetic Bearings", Mechatronics", Mechatronics, 2006, 16(8), 451-459..
Conference Papers/Abstracts/Posters (20)

1-F. G. Golzar , R. Shabani , H. Taraghi , I. Mirzaei, "Coupled Vibration and Stability Analysis of a Circular Diaphragm in an Electrostatically Actuated Micro Pump", 21st Annual International Conference on Mechanical Engineering-ISME2013, 7-9 May, 2013, School of Mechanical Eng., K.N.Toosi University, Tehran, Iran.

2-Ali Shah-Mohammadi-Azar, Ghader Rezazadeh, Rasoul Shabani, Hadi Shah-Mohammadi-Azar, "Coupled electromechanical behavior of a piezoelectric sandwich micro-beam", 21th International conference on mechanical engineering, May 7-9, 2013..

3-H. Hatami, R. Shabani, G. Rezazadeh, S. Tariverdilo, "Frequency analysis of a micro-cantilever immersed in a fluid cavity", 20th International conference on mechanical engineering May 19-21, 2012 (In Persian)..

4-M. Shahbazian, R. shabani, G. Rezazadeh, "Investigations of mechanical behavior of a nanobeam with considering van der wals and casimir forces", 19th International conference on mechanical engineering May 19-21, 2011 (In Persian)..

5-H. Mirzaii, Dadvand, I. Mirzaii, R. shabani, Usefian, "Investigations of the dynamic vortex producer on the heat performance of the micro channels based on LAE method", 19th International conference on mechanical engineering May 19-21, 2011. (In Persian)..

6-S. Rezvantalab , S. Azadi , S. Tariverdilo, R. Shabani , and M.R. Sheidaeii, "Pressure distribution on the wall of liquid contained tanks due to near field and far field ground motions", 6th international conference on seismology and earthquake engineering..

7-R. Shabani, S. Tariverdilo, G.Rezazadeh, A.P. Agdam, "Nonlinear vibrations and chaos in electrostatic torsional actuators", 4th Chaotic Modeling and Simulation International Conference, 31 May – 3 June 2011, Agios Nikolaos, Crete Greece..

8-S. Tariverdilo, R. Shabani, F. Gahramanian, and S. Mahjouri, "Nonlinear Vibrations and Chaos in Floating Roofs", 4th Chaotic Modeling and Simulation International Conference, 31 May – 3 June 2011, Agios Nikolaos, Crete Greece..

9-Mirzaei, H., Shabani, R., Mirzaei, I., and Mohamad hasani, J., "Investigations of thermal effects of fluid solid interaction in micro channels based on RMS method", 18th International conference on mechanical engineering May 19-21, 2010. (In Persian)..

10-Keyvani, A. A., Shabani, R., "Quasi Static Investigation of Squeeze Film Damping on a Fully Clamped Micro-Beam ", 18th International conference on mechanical engineering May 19-21, 2010..

11-Shabani, R., Hatami, A., Mirzaei, H., "Investigations of fluid solid interaction effects on the vibrations of dam slide gates based on RMS method", 17th International conference on mechanical engineering May 19-21, 2009 (In Persian)..

12-Fathalilou, M., Shabani, R., Rezazadeh, G., "Flutter and Divergence instabilities of a micro beam sandwiched by piezoelectric layers", 17th International conference on mechanical engineering May 19-21, 2009..

13-Shabani, R., Salarieh, H., Tariverdilo, S., "Gain Schedualing control of magnetically levitated rotors", 17th International conference on mechanical engineering May 19-21 2009..

14-Shabani, R., Keyvani, A. A., Askarikhah, V., "Investigation of bending and stretching effects in static and dynamic behavior of a circular micro plate", 17th International conference on mechanical engineering May 19-21 2009..

15-Alasty, A., Shabani, R., "Study of Chaotic Behavior of Spring-Pendulum System in Internal and External Resonance Conditions", Proc. of the First Conf. on Chaotic Dynamical Systems, Aerospace Research Center, Tehran, Iran, February 13-14, 2002. (In Persian) .

16-Alasty, A., Shabani, R, "Control of Chaos in Spring-Pedulum System with Internal and External Resonance Conditions", Proc. of The 6th Int. & 10th Annual Conf. of The Iranian Society Of Mechanical Engineers (ISME 2002), K.N. Toosi Univ. of Tech., Tehran, Iran, May 25-27, 2002. (In Persian) .

17-Alasty, A., Shabani, R., "Fractal Basin Boundaries and Chaotic Motions in Spring-Pendulum System", Proc. of 2003 ASME International Mechanical Engineering Congress (IMECE03), Washington DC, USA, November 15-21, 2003.

18-Alasty, A., Salarieh, H., Shabani, R., "Sliding Mode Control of Electromagnetic System Based on Fuzzy Clustering Estimation (An Experimental Study)", , Proc. of 7th Biennial Conference on Engineering Systems Design and Analysis (ESDA04), Manchester, UK, July 19-22, 2004..

19-Alasty, A., Salarieh, H., Shabani, R., "Sliding Mode Control of a Magnetically Levitated Spindle", ", Proc. of the 9th Mechatronics Forum International Conference, Ankara, Turkey, August 30 - September 1, 2004, 543-552..

20-Mohammadi, Z., Marouf-Mashat, A., Salarieh, H., Abedini, M., Masoumy, M., Alasty, A., Shabani, R., "Experimental Investigation of Nonlinear and Chaotic Behavior of a Doubly-Clamped Beam Under Electromagnetic Excitation", Proc. of 7th Biennial Conference on Engineering Systems Design and Analysis (ESDA04), Manchester, UK, July 19-22, 2004.
Research Projects (6)

1- Design and construction of a closed loop Wave maker installed in the Hydraulic laboratory of Civil Engineering Department, Tehran University, Tehran, IRAN (2016).

2- Design and construction of a closed loop one D.O.F Electro-servo hydraulic shaking table installed in Research center for disaster management and infra-structure engineering, Urmia University, Urmia, IRAN (2015).

3- Design and construction of a closed loop one D.O.F Electro-servo hydraulic shaking table installed in Seismology and earthquake research center of Amirkabi University of Technology, Tehran, IRAN (2013).

4- Design and construction of a closed loop one D.O.F Electro-servo hydraulic shaking table installed in the soil dynamic laboratory, Civil Engineering Department of Tehran University, Tehran, IRAN.

5- Nonlinear analysis of floating roof of storage tanks, 2012.

6- Flow induced vibration analysis of bottom outlet slid gates in dams, 2010.
Inventions/Patents (1)

1- Design and construction of a compressor based on the hypocycloidal mechanism.
Courses Taught (7)

1- Nonlinear Vibrations .

2- Vibrations of Continues Systems .

3- Advance Control.

4- Advance Engineering Mathematics .

5- Mechanical Vibrations.

6- Automatic control .

7- Dynamics.