Dynamics of Parallel Robots

  • Stefan┬áStaicu

Part of the Parallel Robots: Theory and Applications book series (PRTA)

Table of contents

  1. Front Matter
    Pages i-xvii
  2. Stefan Staicu
    Pages 1-12
  3. Stefan Staicu
    Pages 13-31
  4. Stefan Staicu
    Pages 33-55
  5. Stefan Staicu
    Pages 57-86
  6. Stefan Staicu
    Pages 87-107
  7. Stefan Staicu
    Pages 109-119
  8. Stefan Staicu
    Pages 121-146
  9. Stefan Staicu
    Pages 147-190
  10. Stefan Staicu
    Pages 191-243
  11. Stefan Staicu
    Pages 245-275
  12. Stefan Staicu
    Pages 277-308

About this book


This book establishes recursive relations concerning kinematics and dynamics of constrained robotic systems. It uses matrix modeling to determine the connectivity conditions on the relative velocities and accelerations in order to compare two efficient energetic ways in dynamics modeling: the principle of virtual work, and the formalism of Lagrange's equations.

First, a brief fundamental theory is presented on matrix mechanics of the rigid body, which is then developed in the following five chapters treating matrix kinematics of the rigid body, matrix kinematics of the composed motion, kinetics of the rigid body, dynamics of the rigid body, and analytical mechanics. By using a set of successive mobile frames, the geometrical properties and the kinematics of the vector system of velocities and accelerations for each element of the robot are analysed. The dynamics problem is solved in two energetic ways: using an approach based on the principle of virtual work and applying the formalism of Lagrange's equations of the second kind. These are shown to be useful for real-time control of the robot's evolution. Then the recursive matrix method is applied to the kinematics and dynamics analysis of five distinct case studies: planar parallel manipulators, spatial parallel robots, planetary gear trains, mobile wheeled robots and, finally, two-module hybrid parallel robots.


Dynamics modelling Parallel mechanisms Virtual work Robotic Systems spatial parallel robots planar parallel manipulators mobile wheeled robots

Authors and affiliations

  • Stefan┬áStaicu
    • 1
  1. 1.Department of MechanicsUniversity Politehnica of BucharestBucharestRomania

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