Dynamic Analysis of Cable-Driven Humanoid Arm Based on Lagrange’s Equation
Human beings have flexible arms and legs that can ensure them conduct various challenging operations to work out daily requirements. Therefore, Humanoid mechanism design become hot research areas recently. To mimic the skeleton structure and driving scheme of a human arm, a 7-DOF cable-driven mechanism is determined to develop. Cable-driven mechanism allows actuators don’t have to be placed on joints that makes it possesses several advantages such as low weight, high dexterity, and large reachable workspace compared with traditional configurations. The forward and inverse displacement analysis issues are conducted. In this paper, dynamic analysis of the cable-driven humanoid arm (CDHA) is conducted based on Lagrange’s method. The dynamic model is established by making use of twist-product-of-exponential formula and the cable tension distribution analysis is also addressed. At last, both the dynamic model and the algorithm are validated through several simulations in MATLAB.
KeywordsLagrangian dynamics Humanoid robot Cable-driven Screw theory
This work is supported by the National Natural Science Foundation of China under Grant No. 50875011 and No. 50975017.
- 1.Oky M (1997) The mechanisms in a humanoid robot hand. Auton Robot 4(2):199–209Google Scholar
- 2.Zhang L-X, Wang K-Y (2007) Research on the controllability of a wire-driven parallel rehabilitation manipulator for exercising the pelvis. J Harbin Eng Univ 28(7):790–794Google Scholar
- 3.Chen Q, Chen W, Rong L, Zhang J (2010) Mechanism design and tension analysis of a cable-driven humanoid-arm. Chin J Chem Eng 46(13):83–90Google Scholar
- 5.Khalil W, Guegan S (2004) Inverse and direct dynamic modeling of Gough-Stewart robots. IEEE Trans Robotic, 20(4):754-761.Google Scholar
- 6.Dasgupta B, Mruthyunjaya TS (1998) Closed-form dynamic equations of the general stewart platform through the newton-euler approach. Mech Mach Theory 33(7):993–1012Google Scholar
- 7.Vakil M, Fotouhi R, Nikiforuk PN, Salmasi H (2008) A constrained Lagrange formulation of multilink planar flexible manipulator. J Vib Acoust 130(3):1–16Google Scholar
- 9.Everett LJ (1989) An extension of Kane’s method for deriving equations of motion of flexible manipulators. IEEE international conference on robotics and automation, 1989, Scottsdale, USA, pp 716–721Google Scholar
- 10.Khalil W, Ibrahim O (2004) General solution for the dynamic modeling of parallel robots. IEEE international conference on robotics and automation, 2004, pp 3665–3670Google Scholar
- 12.Kane TR (1961) Dynamics of nonholonomic systems. J Appl Mech-Trans ASME 28(4):574–578Google Scholar
- 13.Tsai W (1999) Robot analysis: the mechanism of serial and parallel manipulators. Wiley, New YorkGoogle Scholar
- 15.Brockett RW, Stokes A, Park FC (1993) Geometrical formulation of the dynamical equations describing kinematic chains. IEEE international conference on robotics and automation,1993, Atlanta, USA, pp 6370–642Google Scholar
- 17.Chen W, Chen IM, Lim WK, Yang GL (1995) Cartesian coordinate control for redundant modular robots. Proceedings of IEEE international conference on systems, man and cybernetics, Nashville, USA, 2000, pp 3253–3258Google Scholar