Creating a Bode plot by analyzing a transfer function

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Discussion Overview

The discussion revolves around the construction of a Bode plot from a specific transfer function, focusing on the challenges of rewriting the transfer function in the appropriate form for analysis. The context is primarily homework-related, with participants exploring the nuances of transfer functions in control systems.

Discussion Character

  • Homework-related
  • Technical explanation

Main Points Raised

  • One participant expresses difficulty in rewriting the transfer function due to the absence of "jω" in the numerator, which contrasts with examples typically encountered.
  • The transfer function provided is H(jω) = (10ω^2) / [(jω + 10)(jω - 200)], and the participant is unsure how to handle the numerator without "j".
  • Another participant suggests a hypothetical scenario where the transfer function could have been negative before squaring "jω", implying that this might change the approach to rewriting it.
  • A moderator redirects the thread to a more appropriate forum for engineering homework problems, indicating the need for proper categorization of topics.
  • A further participant provides a link to an external resource that contains a similar problem, suggesting it may offer guidance for the original poster.

Areas of Agreement / Disagreement

The discussion does not present a consensus, as participants are exploring different aspects of the problem without arriving at a unified solution. The initial poster's confusion remains unaddressed, and the hypothetical suggestion introduces an additional layer of uncertainty.

Contextual Notes

Participants have not fully resolved the issue of how to rewrite the transfer function, and there are assumptions regarding the handling of the numerator that remain unclarified. The discussion is limited by the lack of specific examples that directly address the original poster's concerns.

andrew.tkelly
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Homework Statement



I am constructing a Bode plot from a given transfer function. I having trouble because I am unsure how to rewrite the transfer function in the proper form. What makes this transfer function particularly tricky for me, is that there is no "jω" in the numerator, just ω^2. In all the examples I've seen solved, they always use s = jω, and put the function in the proper form.


Homework Equations



H(jω) = (10ω^2) / [(jω + 10)(jω - 200)]


The Attempt at a Solution



Well, I know how to reduce the denominator values to their proper form, but not the numerator value...because there is no "j"... and no evidence of a j^2 because there is no negative sign in front.

Thank you for reading!
 
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Suppose the transfer function was negative before the "jω" was squared...
 
Moderator's note: thread moved to Engineering, Comp Sci, & Technology.

In the future, please post engineering homework problems in this forum.
 
See example 3 of link below,

http://www1.mengr.tamu.edu/aparlos/MEEN651/E17.pdf

the problem looks similar to yours.

Found via Google search "Bode plot from a given transfer function examples"

Good luck
 
Last edited by a moderator:

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