Objective:

  To pursue a challenging full-time research career involving design, simulation, implementation and debugging/testing of Rotor Dynamics systems (Mainly for Gas Turbine Engine)

Education:

   Master of Technology in Machine Design  & Dynamics, MAY 2004, Indian Institute of Technology (IIT) Madras, India, GPA- 9.62/10, Class Rank # 1 ; University Rank # 1

    Bachelor of Engineering in Mechanical Engineering, May 2002, M.I.T Muzaffarpur, Bihar, India, Percentage- 85.24%, Department Rank # 2,

Core Competencies:

o   Strong background in Rotor Dynamics, FEM, Reliability analysis and Vibration of Turbo Machinery.

o  Good knowledge of ANSYS, Mat-Lab, UG

o  Knowledge of Turbo Codes, ARMA, Probabilistic code etc

o  Research on Nonlinear dynamical analysis, Jump and Bifurcation; Noise induced instability in dynamical system and modeling of Market uncertainty

o  Strong analytical and problem solving skills.

Skills:

·         Analysis Software:  ANSYS;NASTRAN

·         Modeling software: Uni-Graphic; Auto-Cad

·         High Level Languages: C/C++;VB.NET

·         Algorithm Development: MATLAB, Mathematica

·         Design Tools: SIMULINK, Advance Design Simulator (ADS),

Publications:

Journal Papers

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,             

• 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.
• 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
• 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
• 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)
• 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

Awards / Honors/ Achievements: 

•  Received “Prof B.V.A Rao Endowment Prize and Medal” from I.I.T.Madras for academic distinction in four disciplines and securing highest position (9.62/10) in M.Tech degree.
• University Rank  # 1 in the M.Tech in IIT M (2004)
• Class Rank # 2 in Bachelor of Engineering 2002.
• Received prize from Honorable Central Labour Minister on 20.04. 90 for success in “Scientific Process” Exam held by S.C.E.R.T, A.I.R and Govt. of Bihar
• Bagged District Education Shield and represented Bihar in Jawaharlal Nehru National Science Exhibition in 1994 held at Madras and received “Excellence Award “ from Honorable Chief Minister of Tamil Nadu.:Topic: – To popularise Science Teaching.:Organized by: - National Council of Educational Research and Training
• First position in “Development of Human” National Exam held by N.C.E.R.T, A.I.R, Dept. of Education in Science and Mathematics and N.T.P.C.( Rank # 01 out of 100,000)
• National Rural Merit Scholarship, Government of India, for 1987-1992.

Copyright/Patent

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

                                                  VIBO^TM  DC-01:

From design stage to end of life of any rotating train the foremost concern today engineer face is various kind of vibration encountered in the system. Catastrophic failure of a critical machine, large or small, result in the total loss of the machine, shut down the plant for an extended period. For this reason, it is not acceptable to wait until a machine fail before fixing a problem, the machinery manager must take a proactive stance. Proper knowledge of its cause, symptom, effect and solution is needed to solve vibration related problem. Today we need experience person in this field because till today we have not developed any software related to this kind of applications. This software will help to a designer, testing group, site engineer, maintains people etc to quick identification of cause of problem and to get a accurate solution This software will bridge this gap and give the knowledge you need to detect problem with machine before they cause economical losses associated with decreased plant efficiency, unplanned shutdown, damage or a serious loss of production

            First Version of this software which will be available to user from Dec-08; may not be solve all vibration problem, but it will certainly bridge the gap and will make it possible to control problem that have presented challenge for rotating engineer for many decades  

Major Academic Projects:

Mechanical Engineering Department, Indian Institute of Technology Madras, India (July 2002 - May 2004)

     Post Graduate Thesis - "Efficient Numerical Solution of Fokker-Planck Equations for the Analysis of Stochastic and Noisy Nonlinear system"   

    The analysis of structural systems subjected to stochastic or periodic excitation becomes highly complex in the presence of nonlinearities. When nonlinear systems are subjected to wide band, parametric and combined white noise and harmonic excitation, complex dynamic phenomena like jump, bifurcations, dynamic instabilities, chaotic motion, are observed which may severely restrict the operational range of the dynamical Systems. Thus the determination of nonlinear system responses to random excitation is of importance to understand their dynamics as well as in the design in the context of structural vibration problems.

      The transitional probability density function (pdf) for the random response of nonlinear system under white noise excitation is governed by the Fokker-Planck (FP) equations. Closed form solution of the FP equation is available only for a few low dimensional nonlinear systems. The limitations and difficulty of solving the FP equation have given rise to a number of approximate analytical approaches.

       This dissertation will presents modified numerical methods to solve the FP equation for predicting the response statistics and reliability analyses of a number of single and two degree of freedom nonlinear systems excited by wide band, parametric and harmonic excitations combined with noise. The effect of intensity of white noise, frequency and amplitude of sinusoidal excitation and level of system nonlinearity on the non-Gaussian nature of response caused by the system nonlinearity are investigated. Stochastic behaviours like stability, jump, and bifurcation are examined as the system parameters change.

       New approach for numerical implementation of path integral (PI) method based on non-Gaussian transition pdf and Gauss-Legendre scheme is employed to obtain the response of single degree of freedom model excited by white noise. Numerical solution of the stationary as well as transient system is obtained by standards sequential Finite Element (FE) method using C⁰ shape function and Crank-Nicholson time integration scheme. The numerical method has applied to Duffing, Dimentberg, Van-der-Pol oscillator etc. which yields results that are consistent with the analytical results. The FE and higher order finite difference method are also applied to the solution of the four dimensional FP equation corresponding to a two degree-of-freedom  system, subjected to Gaussian white noise. The method has proven in reducing the computational cost and time.

     MIT Muzaffarpur, BRBA University, India (September 1997 - June 2001)

Undergraduate Thesis –“ Detonation and Knocking in IC Engine”

References

1.Prof.S,Narayanan ; Prof (Mech.) & Dean Research ,IIT –Madras; Ph:09444394291

2.Dr.Ramakrishna; SDGM, BHEL RnD,Hyderabad: Ph:09490118889