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+clc
+clear
+mprintf('Mechanical vibrations by G.K.Grover\n Example 3.3.2\n')
+//given data
+m=10 //mass of solid in Kg
+Kr=3000 //stiffness of natural rubber in N/m
+Kf=12000 //stiffness of felt in N/m
+Cr=100 //damping coefficient of natural rubber in N-sec/m
+Cf=330 //damping coefficient of felt in N-sec/m
+//calculations
+Ke=1/((1/Kf)+(1/Kr)) //equivalent stiffness in N/m
+Ce=1/((1/Cf)+(1/Cr)) //equivalent damping coefficient N-sec/m
+Wn=sqrt(Ke/m) // undamped natural freq in rad/sec
+fn=Wn/(2*%pi) // undamped natural freq in Hz
+zeta=Ce/(2*sqrt(Ke*m)) //damping factor
+Wd=sqrt(1-zeta^2)*Wn //damped natural freuency in rad/sec(eqn 3.3.16)
+fd=Wd/(2*%pi) // damped natural frequency in Hz
+//output
+mprintf(' The undamped natural frequency is %4.4f rad/sec or %4.4f Hz\n The damped natural freuency is %4.4f rad/sec or %4.4f Hz',Wn,fn,Wd,fd)