Example 1: Develop a state space model of a mechanical system

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This is the first example of the series. I introduce the basic steps of developing a state model of an existing mechanical system.
  1. Timothy Mukansi
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Комментарии
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There are two errors. F2 <>y'', it is equal to mg. To assume equilibrium a force equal to m.a is in y-direction. Hope we get it right.

fshah
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Excellent video, you have saved me in my Control Engineering class. The only thing i didn´t understand was why in the last step you made y=x dot, if before you had y=x

diegomontesanosurquieta
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Well everything is fine ..but I have a doubt this is maybe because I haven't touched mechanics from the last 2-3 yrs...so the doubt is...the equilibrium is like...mg+p(t) -fspring-fb=ma?? Instead of p(t)=fspring+fb+ma??

abhishekpilla
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I think there is a mistake in your model. F1 = m(y_double_dot) is not correct because. m(y_double_dot) should be equal to the net force acting on the system (i.e. P(t) + mg - F2 - F3). The gravity term is constant and not time-varying. Therefore F1 should be equal to m times g and NOT m times y_double_dot.

ArafatAsghar
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Thank you so much! It's very helpful!

jjww
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Hi at 4:40 when writing the equation of motion, why is it not P(t) + F1 + y = F2 + F3?

zarithevill