Home /
Expert Answers /
Mechanical Engineering /
determine-the-frequency-response-of-the-following-system-i-e-x-y-versus-omega-omega-n-pa359
(Solved): Determine the frequency response of the following system; i.e. (x)/(Y) versus (\omega )/(\omega _(n) ...
Determine the frequency response of the following system; i.e. (x)/(Y) versus (\omega )/(\omega _(n)), and
then plot it. x is the amplitude of the mass displacement and Y is the amplitude of the
base motion. \omega _(n) is the natural frequency of the system, and \omega is the excitation
frequency associated with the motion of the base, y(t).
Hint: Make sure to start the problem correctly as such below, and follow the style of
the example I did in my presentation:
Apply Newton's law of motion:
\sum hat(l)_(x)=mhat(l) Assume x>y
=>mx^(?)=-kx-c(x^(?)-y^(?))
=>mx^(?)+cx^(?)+kx-chat(y)
=>mx^(¨)+cx^(?)+kx=c\omega Ycos\omega t
=>mx^(?)+cx^(?)+kx=c\omega Ysin((\pi )/(2)-\omega t)