1995
DOI: 10.1163/156855395x00427
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Lagrange and Newton-Euler dynamic modeling of a gear-driven robot manipulator with inclusion of motor inertia effects

Abstract: This paper is aimed at presenting the dynamic model of a gear-driven rigid robot manipulator. The dynamic effects of the motion of the motors driving the joints through gears are analyzed. A complete model is derived using the Lagrange formulation in which the contributions of rotor inertias and rotor-link interactions are evidenced. The resulting equations of motion are shown to be linear in terms of a suitable set of dynamic parameters for the augmented links (links with motors). These are utilized for model… Show more

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Cited by 37 publications
(20 citation statements)
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“…Remark 1. Equation 9neglects the coupling effects between rotor and link motion [59]. This assumption has been made for electrically driven robots provided with high gear ratio.…”
Section: Dynamics Of Contact-free Motion Robotsmentioning
confidence: 99%
“…Remark 1. Equation 9neglects the coupling effects between rotor and link motion [59]. This assumption has been made for electrically driven robots provided with high gear ratio.…”
Section: Dynamics Of Contact-free Motion Robotsmentioning
confidence: 99%
“…To map the control signal c onto the torque/force applied at the joint axis and vice-versa, we also need to include the respective actuator-dependent function τ (c). It is worth mentioning that when electric motors and gears are employed a non-negligible contribution to the dynamics is typically due to the inertia of the rotor I m of the actuators [25], [26], which we have considered by adding it to the diagonal of the inertia matrix through the square of the gear ratio κ r . In summary, the module data to be stored in the modules for dynamics are listed in Tab.…”
Section: ) Characterization Of Modules For Dynamicsmentioning
confidence: 99%
“…Subsequently, enhanced versions of this algorithm have been presented in e.g. [24], [25]. A review on methods for robot dynamics can be found in [26].…”
Section: B Dynamic Model From Modular Informationmentioning
confidence: 99%