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Research Interests

General Interests

*   My general interests span the areas of Rotor Dynamics; Diagnosis and control of Vibration of rotating machinery, FE (ANSYS/NASTRAN) based dynamics analysis of various rotor parts like blade, casing, rotor etc. Research topics in Random Vibration, Micro and Gas turbine engine, nonlinear stochastic dynamics and Chaos encountered in Dynamical systems

 Current Projects

*      Development of Axial flow compressor

*      FE analysis , modeling and control of Blade mistunning, Blade flutter and Rubbing in Rotor
*      Software for Lateral and Torsional analysis of rotor Train

*      Software for Vibration Diagnostic and control for a Turbo Machinery “VIBO-DC-01

*      Modeling of Market uncertainty

 

 

Copyright/Patent

 

*  Turbo Machinery Vibration Diagnosis and Control software “VIBOTM  DC-01”. In pipeline for copyright Via BHEL.  Authors: Pankaj Kumar, Ram Du P and Srinivas Chittimalla

 Publications:

 

*      Journal Papers:-

 

*   Pankaj Kumar and S.Narayanan, “Nonlinear Stochastic Dynamics, Chaos and Reliability Analysis for Single Degree Freedom Model of a Rotor Blade”, Journal of ASME Gas Turbine,(November-08).
 
 
*   Pankaj Kumar and S.Narayanan,  “Solution of Fokker-Planck equation by finite element and finite difference method for nonlinear system”, Invited Paper in the special issue of Sadhana, the Journal of the Engineering Sciences Division of the Indian Academy of Science pp.455-465
 

                                       http://www.ias.ac.in/sadhana/bi2006Aug.htm

                                     http://www.ias.ac.in/sadhana/Pdf2006Aug/PE1494.pdf
 

*   Pankaj Kumar and S.Narayanan,  “Bifurcation and response of some nonlinear systems to combined white noise and harmonic excitation” Journal of ASME Non linear dynamics and computational mechanism.(Formally Reviewed & Accepted for Publications )

 

*       ASME Reviewer comments:

 
 

*   Pankaj Kumar and S.Narayanan, “Numerical Solution of Multidimensional Fokker-Planck Equation for Nonlinear Stochastic Dynamical Systems". Journal of Advances in Vibration Engineering, Volume 8 No:2 (In Press)

 

*      Conference Papers:-

 

 

*   Pankaj Kumar and S.Narayanan, " Efficient Numerical Solution of Fokker-Planck Equations for the Analysis of Nonlinear Systems Subjected to Random Excitation"  Fifth International Conference of Applied Mathematics and Computing (Plovdiv, Bulgaria, August 12 - 18,   

                                                 http://math.uctm.edu/conference2008/

 *   Pankaj Kumar and S.Narayanan, “Nonlinear Stochastic Dynamics, Chaos and Reliability Analysis for Single Degree Freedom Model of a Rotor Blade”,Gas Turbine Technical Congress on 9-13 June 2008 at Berlin, Germany.

                            http://www.asmeconferences.org/TE08/ConferenceSchedule.cfm
 
                Section : 23.4 Probabilistic Methods and Applications   (13th June :2.30 PM)
 

*   Pankaj Kumar and S.Narayanan,  “The Response Statistics Jump and Bifurcation of nonlinear dynamical systems subjected to White noise and combined sinusoidal and white noise excitation” . Proceedings of ASME Turbo Expo 2007: Power for Land, Sea and Air, May 14-17, 2007, Montreal, Canada

http://store.asme.org/category.asp?catalog%5Fname=Conference+Papers&category%5Fname=Structures+and+Dynamics%3A+General%5FGT2007&Page=1

*   Pankaj Kumar and S.Narayanan, “Numerical Solution of Multidimensional Fokker-Planck Equation for Nonlinear Stochastic Dynamical Systems". International conference on vibration Engineering and Technology of Machinery, pp 172-181;17-19 Dec 2007 at Hyderabad ,India;

                                       http://www.uceou.edu/vetomac_files/plan.pdf
 

*   Pankaj Kumar and S.Narayanan,  “Solution of Fokker-Planck equation by path integration method”, Invited Paper & talk in International Conference on Computational and Experimental Engineering and Science 1-6 Dec 2005, 2718-2724. (ICCES0520050815773)

                                            http://www.icces.org/ices05/technical_program.pdf

*   Pankaj Kumar and S.Narayanan, "Solution of Fokker-Planck equation by finite element and finite difference method for nonlinear system." Invited Paper & Talk in National Symposium on Structural Dynamics, Random vibration and Earthquake Engineering, 2005, 43-50