The furier series approximation to the forcing function is given by f(t)=5[1+(4/π)((/)((sin120πt)/1)+((sin360πt)/2)+((sin600πt)/3) +.........)] The transfer function for this problem T(s)=((X(s))/(f(s)))=(1/(ms^2 +cs+k)) =(1/(0.001s+1)) 1. plot the amplitude spectrum 2.Obtain the expression for steady displacement X(t)


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Question Number 198465 by BHOOPENDRA last updated on 20/Oct/23

$T h e f u r i e r s e r i e s a p p r o x i m a t i o n t o$ $t h e f o r c i n g f u n c t i o n i s g i v e n b y$ $f (t) = 5 [1 + \frac{4}{π} (\frac{}{} \frac{s i n 120 π t}{1} + \frac{s i n 360 π t}{2} + \frac{s i n 600 π t}{3}$ $+ . . . . . . . . .)]$ $T h e t r a n s f e r f u n c t i o n f o r t h i s$ $p r o b l e m T (s) = \frac{X (s)}{f (s)} = \frac{1}{{m s}^{2} + c s + k}$ $= \frac{1}{0.001 s + 1}$ $1 . p l o t t h e a m p l i t u d e s p e c t r u m$ $2 . O b t a i n t h e e x p r e s s i o n f o r s t e a d y$ $d i s p l a c e m e n t X (t)$
Commented by BHOOPENDRA last updated on 20/Oct/23

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