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by: jsm553

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# ME 3103, March 28, 2016 Notes ME 3103

jsm553
MSU
GPA 3.2

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These notes were taken on March 28, 2016 in EMT.
COURSE
Experimental Measurements and Techniques
PROF.
Dustin Spayde
TYPE
Class Notes
PAGES
2
WORDS
CONCEPTS
mechanical engineering
KARMA
25 ?

## Popular in Mechanical Engineering

This 2 page Class Notes was uploaded by jsm553 on Thursday March 31, 2016. The Class Notes belongs to ME 3103 at Mississippi State University taught by Dustin Spayde in Spring 2016. Since its upload, it has received 18 views. For similar materials see Experimental Measurements and Techniques in Mechanical Engineering at Mississippi State University.

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Date Created: 03/31/16
Notes Taken for EMT on March 28, 2016 First Order System with a Harmonic input Recall, for a step input, we had F(t) = 0 @ t = 0 A F(t) =  a0  @ t > 0 For a Harmonic Input to the 1  order system, we have F(t) = 0 @ t =0 A sin ωt ) F(t) =  a0  for t > 0 amplitude frequency The solution for harmonic input is A a 0 −1 −τ x(f) =  2sin[ωt−tan (ωt )]Ce √ 1+(ωt) a1 again, τ = a 0 The Phase Shift is defined as  tan (ωt) Φ(ω) =    (ϕ is in radians) ϕ(ω) The steady state response lags by time deωay Δt & ω is the frequency of the signal in rad/s. The steady state Amplitude response decreases w/ an increase in input frequency, evidenced in term: 1 1+(ωτ) 2 √ Therefore, a 1  order system w/ a harmonic input

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