Flexible links in robot arms are encountered in many industrial plications. Figures 1 and 2 show sketches of a laboratory model of such a lin e manipulator positions a load of mass M and length I at an angle q1. The k's flexible joint is modeled as a spring of stiffness k, and is driven by a de otor with a rotor that has an inertia J and friction B. The link's inertia is I. Flexible joint Mgl encoder Encoder Arm Fig. 2. Model of single-link flexible-joint Sketch of experimental hardware. arm.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Flexible links in robot arms are encountered in many industrial
applications. Figures 1 and 2 show sketches of a laboratory model of such a link.
The manipulator positions a load of mass M and length I at an angle q1. The
link's flexible joint is modeled as a spring of stiffness k, and is driven by a de
motor with a rotor that has an inertia J and friction B. The link's inertia is I.
Flexible joint
Mgl
Motor and encoder
Encoder
Arm
Fig. 1. Sketch of experimental hardware.
Fig. 2. Model of single-link flexible-joint
arm.
(a) Find the equations of motions in time domain and Laplace domain.
u(t) is the torque generated by the motor and g is the acceleration due to
gravity. (assuming zero initial conditions)
Transcribed Image Text:Flexible links in robot arms are encountered in many industrial applications. Figures 1 and 2 show sketches of a laboratory model of such a link. The manipulator positions a load of mass M and length I at an angle q1. The link's flexible joint is modeled as a spring of stiffness k, and is driven by a de motor with a rotor that has an inertia J and friction B. The link's inertia is I. Flexible joint Mgl Motor and encoder Encoder Arm Fig. 1. Sketch of experimental hardware. Fig. 2. Model of single-link flexible-joint arm. (a) Find the equations of motions in time domain and Laplace domain. u(t) is the torque generated by the motor and g is the acceleration due to gravity. (assuming zero initial conditions)
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