Viscous drag parallel to the axis of rotation: Control Systems

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SUMMARY

The discussion focuses on deriving the transfer function G(s) = θ2(s)/τ(s) for a rotary control system influenced by viscous drag parallel to the axis of rotation. Participants emphasize the necessity of formulating two equations to accurately model the system's dynamics, despite the absence of two distinct masses. The key insight is to define the rotor angles, labeling the right-hand side as θ1, which allows for the creation of two equations: θ1/τ for the first and θ2/θ1 for the second, ultimately leading to the desired transfer function.

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  • Understanding of control systems and transfer functions
  • Familiarity with rotary dynamics and viscous drag concepts
  • Knowledge of Laplace transforms and their application in control theory
  • Ability to interpret and manipulate equations involving angular displacement
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Control system engineers, mechanical engineers, and students studying dynamics and control theory will benefit from this discussion, particularly those working with rotary systems and viscous drag analysis.

kostoglotov
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Homework Statement



WPAKuf4.png


https://i.imgur.com/WPAKuf4.png

seeking G(s) = \frac{\theta_2(s)}{\tau(s)}

Homework Equations

The Attempt at a Solution



What does it mean when the viscous drag is parallel to the axis of rotation?[/B]

It also turns out that this system needs two equations. I can sort of see why, even though it doesn't have two masses, I'm not 100% sure though, how to break this system up into two equations, where and how to make the break.

Any help at all would be very appreciated, thank you :)
 
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That is a truly awful diagram .

Nevertheless it is possible to work out what the various bits do if we assume that this is a purely rotary system .

Those damper terms and the energy accumulator term all act in a rotary sense and not in the linear sense depicted . You can infer this anyway from their dimensions - they are all quoted as being per radian .
 
kostoglotov said:

Homework Statement



View attachment 210469

https://i.imgur.com/WPAKuf4.png

seeking G(s) = \frac{\theta_2(s)}{\tau(s)}

Homework Equations

The Attempt at a Solution



What does it mean when the viscous drag is parallel to the axis of rotation?[/B]
poor statement but just assume there is rotational drag torque in those three places.

It also turns out that this system needs two equations. I can sort of see why, even though it doesn't have two masses, I'm not 100% sure though, how to break this system up into two equations, where and how to make the break.
I would label the right-hand side of the rotor θ1, then you can have θ1/τ as the 1st equation and θ21 as the 2nd equation, then multiply the two transfer functions to get θ2/τ.
 
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