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me375_sp11_hwk07_soln

me375_sp11_hwk07_soln - ME375-Spring 2011 Homework No 7 Due...

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Unformatted text preview: ME375-Spring 2011 Homework No. 7 Due: Friday, March 11“ Problan No. I (30%) l s+lO (8) Calculate the magnitude and phase of G(s) = m=l,2,5,10,20,50and100 rad/sec. by hand for (b) Sketch the Bode plot of G(s) using asymptotes, and compare these with your computed results from (a). Problem No. 3 (30%) (a) Draw the Bode plot of the following transfer function using straight-line approximate (asymptotec); clearly show the steps. S 10—+1 (5 ) 6(3): 3 5(1—o+l) (b) For the transfer function in part (a), what is the steady state response ofthe system subject to input f (t) = sin(2t)+58in(8t) ? - -;\\ ‘ \ ~‘n(.7't LGCJ mmzvumv.) 'O’L’” \ s Sketch the Bode plots of the following transfer functions using asymptotes. Show your work clearly. After completing the hand sketches, verify your results using MATLAB. Turn in your sketches and the MA_TLAB results on the same scales. l00 s(0.l.r+l)(0.5.v+l) 1 sz+3s+10 (a) 0(3) = (b) G(S)= - - '\ ./ v) o I... A k. 6.1” I II II \J 4, A4 I! ’4:- I) :- 0- - \/ - |/ o—-=2 Q . La 5 '1 ‘0 _, $31 + o - a 10- Q1- as. 33.5.: Hm (ndlooc) ...
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