Sketch the response of a system(bode plot given) to two inputs

legolegoyoyo

Hi all
Please help me with this question, thanks a lot.





My attempt on this question is that i can calculate the damping ratio from the magnitude diagram, approximately 0.16
I can't do more than that, please help. I will be grateful even if you pointing me a direction solving this.
cheers

gneill

Hint: What type of signals (waveforms) are the inputs? What are the basic defining characteristics of such signals?

rude man

Your two input plots are the same.
Are they intended to be continuous or stop at t = 10? If continuous the answer should bite you on the nose. If truncated at 10 sec. then you have a bigger challenge. Tell us which, and what happened to the second input plot.

legolegoyoyo

thank you for the reply, the question asks to draw response on the input diagram.

legolegoyoyo

hi
I'm not sure what information should i get from the bode plot and the input signal to sketch the response.

to your question, the signal is sine wave form

gneill

What parameters define a sinewave?

legolegoyoyo

Hi
period, amplitude,

NascentOxygen

I doubt that the question is asking for you to draw a waveform that is a composite of two. I'd say you are to first consider one of the inputs and plot the corresponding output on the same set of axes as that input. Then as a separate question, consider the other signal as input, and sketch the corresponding output, again on the same plot as the input so you can demonstrate the phase difference.

There is no requirement to determine damping ratio, that I can see.

Are you right to go now, legolegoyoyo?

legolegoyoyo

Hi, thanks for the reply, its very helpful
there is an equation from my lecture notes,

y(t)=AMsin(ω₀t+∅)
the 2 input signal graph are just 2 different input, and the question requires to sketch on them individually
my understanding to this equation is,

y(t) is the response wave
A is the amplitude of the input signal
M is the magnitude read from the bode diagram(magnitude diagram) at the frequency of ω₀
ω₀ is the frequency(in rad/s) read from the input signal and convert to rad/s by multiply the frequency(in Hz) with 2[itex]\pi[/itex]
∅ is the angle read from bode diagram(phase diagram) at the frequency of ω₀
then i just substitute all the values i got into the equation y(t) to get the response wave plot

Im i correct? Please comment
cheers mate!

gneill

Yup, it looks like you're on your way. One thing though, make sure that you understand precisely what the Bode plot "Magnitude" is...

legolegoyoyo

Thank to you for your hints

for the quote, did you mean i need to anti log the reading from magnitude bode diagram

gneill

When you're drawing a bode magnitude diagram, what expression are you plotting against angular frequency?

legolegoyoyo

20logK

gneill

And what's K in this context?

legolegoyoyo

10^m/20

gneill

Perhaps I should have been more specific; I wasn't looking for you to isolate K but rather to state what K represents in the given formula.