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Dynamic Modeling of a Robot for Playing a Curved 3D Percussion Instrument Utilizing a Finite Element Method

Authors: Prakash Persad, Kelvin Loutan, Jr., Trichelle Seepersad


The Finite Element Method is commonly used in the analysis of flexible manipulators to predict elastic displacements and develop joint control schemes for reducing positioning error. In order to preserve simplicity, regular geometries, ideal joints and connections are assumed. This paper presents the dynamic FE analysis of a 4- degrees of freedom open chain manipulator, intended for striking a curved 3D surface percussion musical instrument. This was done utilizing the new MultiBody Dynamics Module in COMSOL, capable of modeling the elastic behavior of a body undergoing rigid body type motion.

Keywords: dynamic modeling, Multibody Dynamics, Entertainment Robots, Finite Element Method, flexible robot manipulators, musical robots

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[1] E. Bayo, "A finite element approach to control the end point motion of a single-link flexible robot,”J. Robotic Sys. vol. 4, no. 1, John Wiley & Sons, Inc. pp. 69-75, 1987.
[2] H. R. Heidari M. H. Korayem, M. Haghpanahi, and V. F. Batlle, "A new non-linear finite element model for the dynamic modelling of flexible link manipulators undergoing large deflections,” Proc. IEEE Int. Conf. Mechatronics,Instabul, Apr. 2011.
[3] J. M. Martins, Z. Mohamed, M. O. Tokhi, J. Sá da Costa, and M. A. Botto, "Approaches for dynamic modelling of flexible manipulator systems,” Proc. IEEE Control Theory Appl, vol. 150, no. 4, Jul. 2003.
[4] M. H. Korayem, A. Heidari, and A. Nikoobin, "Maximum allowable dynamic load of flexible mobile manipulators using finite element approach,” Int. J. Adv. Manuf. Technol, vol. 36, pp. 1010-1021, Jan. 2007.
[5] M. H. Korayem, M. Haghpanahi, and H. R. Heidari, "Maximum allowable dynamic load of flexible manipulators undergoing large deformation,” ScienticaIranica, Transaction B, vol. 17, no. 1, pp. 61-74, Feb. 2010.
[6] M. Rognant, E. Courteille, and P. Maurine, "A systematic procedure for the elastodynamic modelling and identification of robot manipulators,” IEEE Trans. Robotics, vol. 26, no. 6, pp. 1085–1093, Dec. 2010.
[7] K. A. Malek, and B. Paul, "Criteria for the design of manipulator arms for a high stiffness-to-weight ratio,” J. Manu. Sys. vol. 17, no. 3, pp 209-220, 1998.
[8] M. H. Korayem, N. Shiehbeiki, and T. Khanali, "Design, manufacturing and experimental test of a prismatic robot for an assembly line,” Int. J. Adv. Manuf. Technol, vol. 29, pp. 379-388, Jul. 2005.
[9] X. Tian, Y. Liu, R. Lin, B. Cai, Z. Liu, and R. Zhang, "Finite element analysis based design of mobile robot for removing plug oil well,” J. of Computers, vol. 8, no. 6, pp 1504-1511, June 2013.
[10] D. A. Marinescu, and A. F. Nicolescu, "Gantry robot volumetric error evaluation using analytical and FEM modelling,” Proc. 21st Int. DAAAM. Symp, vol. 21, no. 1,Vienna, 2010.
[11] J. Baur, J. Pfaff, H. Ulbrich, and T. Villgrattner, "Design and development of a redundant modular multipurpose agricultural manipulator,” Proc. IEEE/ASME Int. Conf. Adv. Intelligent. Mechatronics, Jul. 2012.
[12] G. Munteanu, and A. Ghiorghe, "Kinematic chain and structure behaviour analysis for second joint of ‘RRR’ type robot in order to increase its positioning accuracy,” Proc. 20th Int. DAAAM. Symp, vol. 20, no. 1,Vienna, 2009.
[13] P. Persad, T. Seepersad, and K. Loutan Jr., "Development of a robot for playing a curved 3D surface percussion instrument,”Proc. 2ndIASTED Int. Conf. Robotics, pp. 398-403,Pittsburgh, Nov. 2011.
[14] J. Denavit,and R.S. Hartenberg,"A kinematic notation for lower-pair mechanisms based on matrices,”J. Applied Mechanics, vol. 22, pp.215-221, 1955.
[15] P. Persad,, K. Loutan,and C. Maharaj, "Dynamic stress analysis of a spring actuated manipulator with tip payload,” Proc. IASTED Int. Conf. Robotics,Phuket, Nov. 2010