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constrained system equations

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Inverse Dynamics of a 3-P[2(US)] Translational Parallel Robot
Mahmood Mazare, Mostafa Taghizadeh, M. Rasool Najafi
Journal:

Robotica / Volume 37 / Issue 4 / April 2019

Published online by Cambridge University Press:

26 December 2018, pp. 708-728
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In this paper, a type of parallel robot with three translational degrees of freedom is studied. Inverse and forward kinematic equations are extracted for position and velocity analyses. The dynamic model is derived by Lagrange’s approach and the principle of virtual work and related computational algorithms implementing inverse and forward dynamics are presented. Furthermore, some numerical simulations are performed using the kinematic and dynamic models in which the results show good agreement with expected qualitative behavior of the mechanism. Comparisons with the results of work-energy and impulse-momentum methods quantitatively verify the validity of the derived equations of motion. Also, a relative computational effectiveness is observed in implementation of virtual work model via the simulations.