Acceleration Properties of Planar Manipulators from a Dynamic Standpoint

Abstract

An important issue in designing manipulators for dynamic performance is the determination of the acceleration properties of (some reference-point on) the end-effector of the manipulator. Given the dynamical equations of the planar two degree-of-freedom manipulator and a set of constraints on the actuator torques and on the rates-of-changes of the joint variables, we systematically develop (a) the properties of the linear mapping between the actuator torques and the acceleration of (some reference-point on) the end-effector, and (b) the properties of the (non-linear) quadratic mapping between the rates-of-changes of the joint variables and the acceleration of the end-effector. We then show how these mappings can be combined to obtain useful acceleration sets--for example the acceleration set corresponding to any point in the workspace of the manipulator--as well as the properties of these sets. Acceleration properties, Dynamical equations, Actuator torques, Linear mapping, Quadratic mapping.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1988
Accession Number
ADA205108

Entities

People

  • Subhas Desa
  • Yong-yil Kim

Organizations

  • Carnegie Mellon University

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Abstracts
  • Actuators
  • Analytic Geometry
  • Boundaries
  • Classification
  • Decomposition
  • Equations
  • Equations Of Motion
  • Geometry
  • Joints
  • Manipulators
  • Mass
  • Mathematics
  • Moment Of Inertia
  • Numbers
  • Security
  • Triangles

Fields of Study

  • Physics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Robotics and Automation.