Notes

Unit 3 - Mobility

Wheeled Mobile Robots

The mechanical structure of a mobile robot consists of one or more rigid bodies equipped with a locomotion system

Wheeled mobile robots

  • Base (chassis)
  • _Wheel_s (providing motion with respect to ground)
  • Eventually trailers, also equipped with wheels, connected to base by means of revolute joints

Legged mobile robots

  • Multiple limbs
  • Feet periodically in contact with ground to realize locomotion
  • Design often inspired by living organisms (biomimetic robotics)

Conventional Wheels

Fixed Wheel

  • Can rotate about an axis going through center of wheel and orthogonal to wheel plane
  • Constant orientation with respect to chassis (rigidly attached)

Steerable Wheel

  • First rotation axis same as fixed wheel
  • Second rotation axis going through center of wheel
  • Variable orientation with respect to chassis

Caster Wheel

  • Vertical axis not going through center of wheel (displaced by constant offset)
  • Automatic swivel rapidly aligning with direction of motion of chassis
  • Supporting point for static balance without affecting mobility of chassis (commonly used in shopping carts and wheelchairs)

The 3 types of conventional wheels with their respective icons

Differential-drive Mobile Robot

  • Two fixed wheels with common axis of rotation, separately controlled
  • One or more passive caster wheels, whose function is to keep robot statically balanced
  • Can rotate on the spot, without moving midpoint between wheels, provided that angular velocities of the two wheels are equal and opposite

A differential-drive mobile robot

Synchro-drive Mobile Robot

  • Three aligned steerable wheels synchronously driven by only two motors through mechanical coupling (chain or transmission belt)
  • First motor controls rotation of wheels about horizontal axis (vehicle traction)
  • Second motor controls rotation of wheels about vertical axis (vehicle steering)
  • Often, third motor used to rotate independently upper part of chassis (turret) with respect to lower part (orienting directional sensor or recovering orientation error)

A synchro-drive mobile robot

Tricycle Mobile Robot

  • Two fixed wheels mounted on rear axle, driven by single motor controlling their traction)
  • Steerable front wheel, driven by another motor
  • Alternatively, two passive rear wheels and front wheel providing traction and steering

A tricycle mobile robot

Car-like Mobile Robot

  • Two fixed wheels mounted on rear axle
  • Two steerable wheels mounted on front axle
  • One motor provides (front or rear) traction
  • Another motor changes orientation of front wheels with respect to chassis
  • Two front wheels must have different orientation (avoiding slippage)
  • Internal wheel slightly more steered with respect to external one (Ackermann steering device)

A car-like mobile robot

Omnidirectional Mobile Robot

  • Three caster wheels usually arranged in symmetric pattern
  • Their traction velocities are independently driven
  • Can move instantaneously in any Cartesian direction as well as re-orient itself on the spot

An omnidirectional mobile robot with three independently driven caster wheels

Mecanum Wheel

  • Fixed wheel with passive rollers placed along external rim
  • Axis of rotation of each roller typically inclined by 45° with respect to plane of wheel
  • Vehicle equipped with four mecanum wheels mounted in pairs on two parallel axles is also omnidirectional

A Mecanum (or Swedish) wheel

Mobile Robots Features

Balance

  • A three-wheel robot is statically balanced as long as its center of mass falls inside the support triangle defined by the contact points between wheels and ground
  • Robots with more than three wheels have a support polygon (typically easier to guarantee balance)
  • When robot moves on uneven terrain, a suspension system is needed to maintain contact between each wheel and ground

Workspace

  • Workspace of mobile robot potentially unlimited
  • Local mobility of non-omnidirectional mobile robot always reduced
  • A tricycle robot cannot move instantaneously in a direction parallel to rear wheel axle, yet can be manoeuvered so as to obtain net displacement in that direction at end of motion
  • Number of robot’s DOFs (number of admissible instantaneous motions) lower than number of its configuration variables

Mobile Manipulator

  • Manipulator mounted on mobile base, combining dexterity of articulated arm with unlimited mobility of base
  • Complex design related to robot’s static and dynamic mechanical balance, as well as to actuation of the two systems

A mobile manipulator obtained by mounting an anthropomorphic arm on a differential-drive vehicle