Banavara N. Shashikanth

Assistant Professor Department of Mechanical Engineering New Mexico State University MSC 3450, Las Cruces, NM 88003 Office: (505) 646-4348; Fax: (505) 646-6111; E-mail: shashi@nmsu.edu

Education

• Ph.D. Aerospace Engineering, University of Southern California, Los Angeles, USA, 1998
• M.E. Aerospace Engineering, Indian Institute of Science, Bangalore, India, 1991
• B.Tech. Aerospace Engineering, Indian Institute of Technology, Madras, India, 1989

Professional Experience

• Assistant Professor (Tenured), Department of Mechanical Engineering, New Mexico State University, 2001- present
• Postdoctoral Scholar, Control and Dynamical Systems, California Institute of Technology, Pasadena, USA, 1998-2000
• Graduate Assistant, Department of Aerospace and Mechanical Engineering, University of Southern California, Los Angeles, USA, 1993-1998
• Research Scientist, Experimental Aerodynamics Division, National Aerospace Laboratories, Bangalore, India, 1991-1993

Journal Publications

• Hamiltonian structure for a neutrally buoyant rigid body interacting with N vortex rings of arbitrary shape: the case of arbitrary smooth body shape, B. N. Shashikanth, A. Sheshmani, S. D. Kelly and J. E. Marsden, Theoretical and Computational Fluid Dynamics, vol. 22, pp.37--64, 2008. (pdf)
• Optimal approach to and alignment with a rotating rigid body for capture, Z. Ma, O. Ma and B. N. Shashikanth, Journal of the Astronautical Sciences, vol. 55(4), pp. 407--419, 2007.
• Symmetry reduction and control of the dynamics of a 2-D rigid circular cylinder and a point vortex: vortex capture and scattering, B. N. Shashikanth, European Journal of Control, vol. 13(6), pp. 641--657, 2007(pdf)
• Vortex interaction with a moving sphere, J. J. Allen, Y. Jouanne and B. N. Shashikanth, Journal of Fluid Mechanics, vol. 587, pp. 337-346, 2007. (pdf)
• Symmetric pairs of point vortices interacting with a neutrally buoyant two-dimensional circular cylinder, B. N. Shashikanth, Physics of Fluids, vol.18, 127103, 17 pages, 2006. (pdf)
• Poisson brackets for the dynamically interacting system of a 2D rigid cylinder and N point vortices: The case of arbitrary smooth cylinder shapes, B. N. Shashikanth, Regular and Chaotic Dynamics, vol.10(1), pp. 1--14, 2005. (pdf)
• Leap-frogging vortex rings: Hamiltonian structure, geometric phases and discrete reduction, B. N. Shashikanth and J. E. Marsden, Fluid Dynamics Research, vol.33(4), pp.333--356, 2003. (pdf)
• The Hamiltonian structure of a 2D rigid circular cylinder interacting dynamically with N point vortices, B. N. Shashikanth, J. E. Marsden, J. W. Burdick and S. D. Kelly,Physics of Fluids, vol.14(3), pp.1214--1227, 2002. (pdf) (Erratum: Physics of Fluids, vol.14(11), p.4099, 2002. (pdf))
• Geometric phases for corotating elliptical vortex patches, B. N. Shashikanth and P. K. Newton,Journal of Mathematical Physics, vol.41(12), pp.8148--8162, 2000. (pdf)
• Vortex Motion and the Geometric Phase, Part II: Slowly Varying Spiral Structures, B. N. Shashikanth and P. K. Newton, Journal of Nonlinear Science, vol.9(2), pp.233--254, 1999. (pdf)
• Vortex Motion and the Geometric Phase, Part I: Basic Configurations and Asymptotics, B. N. Shashikanth and P. K. Newton, Journal of Nonlinear Science, vol.8(2), pp.183--214, 1998. (pdf)

Publications in Conference Proceedings

• Optimal Control for Spacecraft to Rendezvous with a Tumbling Satellite in a Close Range, Z. Ma, O. Ma and B. N. Shashikanth, Proceedings of the IEEE/RSJ International Conference on Intelligent Robots and Systems, Beijing, China, October 9-15, 2006.
• Dynamics and control of the system of a 2-D rigid circular cylinder and point vortices, Z. Ma and B. N. Shashikanth, Proceedings of the 2006 American Control Conference, Minneapolis, Minnesota, USA, June14-16, 2006. (pdf)
• An Investigation of van der Waals Forces in the assembly of Micro Devices, D. Vasquez, J. Cecil and B. Shashikanth, Proceedings of the Industrial Engineering Research Conference, Atlanta, May 14-18, 2005.
• The Hamiltonian structure of a 2D rigid circular cylinder interacting dynamically with N point vortices, B. N. Shashikanth, J. E. Marsden, J. W. Burdick and S. D. Kelly, Proceedings of the Fourteenth International Symposium of Mathematical Theory of Networks and Systems, Perpignan, France, June 19--23, 2000.

Conference Presentations and Invited Talks

• Geometric mechanics of vorticity fields and neutrally buoyant rigid bodies, Universidad Nacional Autónoma de México, Instituto de Investigaciones en Matemáticas Aplicadas y en Sistemas, Mexico city, Mexico, May 17, 2007.
• Symmetric pairs of point vortices interacting with a neutrally buoyant 2D circular cylinder, IUTAM Symposium on Hamiltonian Dynamics, Vortex Structures and Turbulence, Russian Academy of Sciences, Moscow, Russia, August 25--30, 2006.
• Dynamics and Control of a Moving Cylinder and Point Vortices, 77th Annual Meeting of the Gesellschaft fur Angewandte Mathematik und Mechanik (GAMM), Technische Universitat, Berlin, Germany, March 27-31, 2006.
• Poisson brackets for rigid bodies in vortical fluids, Workshop on Dynamical Systems Methods in Fluid Dynamics (organizers: Jerrold E. Marsden and Jurgen Scheurle), Mathematisches Forschunginstitut Oberwolfach, Oberwolfach, Germany, July31-Aug5, 2005
• Symmetries and Poisson brackets for the Hamiltonian system of a rigid body+ideal fluid, AIMS' Fifth International Conference on Dynamical Systems and Differential Equations, Cal State Polytechnic, Pomona, California, USA, June 16-19, 2004
• Geometry, Dynamics and Control of Vortex Flows, Colloquium, Department of Mathematics, University of New Mexico, Albuquerque, USA, Oct. 31, 2003
• Dynamically Interacting Solid Body-Vorticity Field Systems, SIAM Conference on Applications of Dynamical Systems, Snowbird, Utah, USA, May 27-31, 2003
• On the Hamiltonian Model of Axisymmetric Vortex Rings, Annual Spring Meeting of the American Geophysical Union, Washington DC, USA, May 28--31, 2002
• Geometric Phases in Inviscid Vortex Models, Annual General Assembly of the European Geophysical Society, Nice, France, March 26-30, 2001

Awards

• Alexander von Humboldt Summer Research Fellowship, Germany, 2008-2010