Problem: double mass-spring-damper bode plot. Is it correct ?

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marco kloos
marco kloos 2019년 1월 28일
댓글: Jörg Schuler 2021년 5월 31일
Hello guys :),
i am not sure whether my results of the bode plot is correct. I am reading a dissertation right now, where the author is analysing following double mass-spring-damper system. The matrices for the state-space model are at the end of the post.
His results are following bode plots
When i am plotting the transfer function of Gza-zr(s) for example, i am getting completly other eigenfrequencies (~9Hz and ~70Hz) and i am not sure, what i've done wrong
mr=36.6;
ma=267;
ca=18700;
cr=184000;
da=1398;
dr=0;
A=[0 1 0 -1; -ca/ma -da/ma 0 da/ma; 0 0 0 1; ca/mr da/mr -cr/mr -da/mr+dr/mr];
bu=[0; 1/ma; 0; -1/mr];
bw=[0; 0; -1; dr/mr];
du=[0; 0; 1/ma];
dw=[0; dr; 0];
C=[1 0 0 0; 0 0 -cr -dr;-ca/ma -da/ma 0 da/ma];
sys=ss(A,B,C,D);
%bode(sys)
s=tf('s');
G=C*inv(s*eye(4)-A)*bw+dw;
G1=G(1,1); %G_za-zr(s)
G2=G(2,1); %G_Fz,dyn(s)
G3=G(3,1); %G_ppza(s)

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