Abstract
Kinematic modeling of a tree-type robotic system is presented in this chapter. In order to obtain kinematic constraints, a tree-type topology is first divided into a set of modules. The kinematic constraints are then obtained between these modules by introducing the concepts of module-twist, module-joint-rate, etc. This helps in obtaining the generic form of the Decoupled Natural Orthogonal Complement (DeNOC) matrices for a tree-type system with the help of module-to-module velocity transformations. Using the present derivation, link-to-link velocity transformation (Saha 1999a, b) turns out to be a special case of the module-to-module velocity transformation (Shah et al. 2012a) presented in this chapter.
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Chaudhary, H., & Saha, S. K. (2007). Constraint wrench formulation for closed-loop systems using Two-level recursions. ASME Journal of Mechanical Design, 129, 1234–1242.
Duffy, J. (1978). Displacement analysis of the generalized RSSR mechanism. Mechanism and Machine Theory, 13, 533–541.
Saha, S. K. (1997). A decomposition of the manipulator inertia matrix. IEEE Transactions on Robotics and Automation, 13(2), 301–304.
Saha, S. K. (1999a). Analytical expression for the inverted inertia matrix of serial robots. International Journal of Robotic Research, 18(1), 116–124.
Saha, S. K. (1999b). Dynamics of serial multibody systems using the decoupled natural orthogonal complement matrices. ASME Journal of Applied Mechanics, 66, 986–996.
Shah, S. V., Saha, S. K., & Dutt, J. K. (2009). Denavit-Hartenberg parameters of Euler-Angle-Joints for order (N) recursive forward dynamics. ASME International conference on multibody systems, nonlinear dynamics and control, USA
Shah, S. V., Saha, S. K., & Dutt, J. K. (2012a). Modular framework for dynamics of tree-type legged robots. Mechanism and Machine Theory, Elsevier, 49, 234–255.
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Shah, S.V., Saha, S.K., Dutt, J.K. (2013). Kinematics of Tree-Type Robotic Systems. In: Dynamics of Tree-Type Robotic Systems. Intelligent Systems, Control and Automation: Science and Engineering, vol 62. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-5006-7_4
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DOI: https://doi.org/10.1007/978-94-007-5006-7_4
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