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Numerical integration to find response

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Shubham
Shubham on 12 Mar 2021
Closed: Cris LaPierre on 12 Mar 2021
%% Question - I have to integrate this expression symbollically such that the final answer is a function of ta %% because I have to plot response v\s ta , but I am getting a symbollic expression syms ta tau m = 2; wn=707.10678; wd = 707.10236; z=0.003535;
F = -8.492 -18.92 cos(ta*4) + -7.036e-14 *sin(ta*4) + -11.03*cos(2*ta*4) + -8.148e-13*sin(2*ta*4)+-9.687 *cos(3*ta*4) + -7.713e-13 *sin(3*ta*4) + -9.277*cos(4*ta*4) + -6.027e-13*sin(4*ta*4)+-4.587 *cos(5*ta*4) + 5.084*sin(5*ta*4); response = 1/(m*wd)*int(F*exp(-z*wn(ta-tau))*sin(wd*(ta-tau)),tau,0,ta); pretty(response) subs(response,3.5) %% Tried finding the value at ta = 3.5
%% plot response at some 4-5 valuse of ta

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