Question
Transcribed Text
Using Matlab, add plots for the following problems:
4.20 Determine the peak displacement for the impulsively excited spring-mass system,
and show that it can be expressed in the form
xpeak
√
km
Fˆ
= exp
−
ζ
√
1 − ζ
tan−1
p
1 − ζ
2
ζ
!
Plot this result as a function of ζ.
4.24 The base of an undamped spring-mass system, m and k, is given a velocity pulse, as
shown in attached gure. Show that if the peak occurs at t < t1, the response spectrum
is given by the equation
ωnzmax
v0
=
1
ωnt1
−
1
ωnt1
p
1 + (ωnt1)
2
− p
ωnt1
1 + (ωnt1)
2
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p=@(z) exp(-z./((1-z.^2).^0.5).*atan(((1-z.^2).^0.5)./z));z=linspace(0.0001,.9999,100);
figure;
plot(z,p(z),'Linewidth',2);
xlabel('\zeta')...
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