Rotational_Mechanical_Systems_Unit_2_Mod.pdf | Rotation Around A Fixed Axis

Please download to get full document.

View again

of 18
All materials on our website are shared by users. If you have any questions about copyright issues, please report us to resolve them. We are always happy to assist you.
Information Report
Category:

Documents

Published:

Views: 7 | Pages: 18

Extension: PDF | Download: 0

Share
Related documents
Description
Rotational Mechanical Systems Unit 2: Modeling in the Frequency Domain Part 6: Modeling Rotational Mechanical Systems Engineering 5821: Control Systems I Faculty of Engineering & Applied Science Memorial University of Newfoundland January 22, 2010 ENGI 5821 Unit 2, Part 6: Modeling Rotation Mechanical Systems Rotational Mechanical System
Transcript
  Rotational Mechanical Systems Unit 2: Modeling in the Frequency DomainPart 6: Modeling Rotational Mechanical Systems Engineering 5821:Control Systems I Faculty of Engineering & Applied ScienceMemorial University of Newfoundland January 22, 2010 ENGI 5821 Unit 2, Part 6: Modeling Rotation Mechanical Systems  Rotational Mechanical Systems Rotational mechanical systems are modelled in almost the sameway as translational systems except that...We replace displacement,  x  ( t  ) with angular displacement θ ( t  ); Angular velocity is  ω ( t  )We replace force with  torque For a force  F   acting on a body at point  P  , torque is defined as, T   =  FR   sin φ where  R   is the distance from  P   to the body’s axis of rotation and  φ is the angle the force makes to the ray from the axis of rotation to P  . Hence, if the force is perpendicular to the axis of rotation then, T   =  FR   Rotational Mechanical Systems Gears A rotating body can be considered a system of particles withmasses  m 1 ,  m 2 ,  m 3 ,  ... . The  moment of inertia  is defined as, J   =  m 1 R  21  + m 2 R  22  + m 3 R  23  + ··· The total kinetic energy is, K   = 12 J  ω 2 Recall that the kinetic energy for a translational system is  12 mv  2 .So  J   is analagous to mass in translational motion. Also, similar tothe equation  F   =  ma  in translational systems, we can relate torqueand angular acceleration, T  ( t  ) =  J d  ω dt   =  J d  2 θ dt  2 We define the components of our rotational system as springs,viscous dampers, and rotating masses. ENGI 5821 Unit 2, Part 6: Modeling Rotation Mechanical Systems
We Need Your Support
Thank you for visiting our website and your interest in our free products and services. We are nonprofit website to share and download documents. To the running of this website, we need your help to support us.

Thanks to everyone for your continued support.

No, Thanks