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+clc

+clear

+mprintf('Mechanical vibrations by G.K.Grover\n Example 5.7.1\n')

+//given data

+J1=0.735//moment of inertia of main system in Kg-m^2

+Kt1=7.35*10^5//torsional stiffness

+To=294//amplitude of applied torque

+W=10^3//frequency of applied torque

+//u=ratio of absorber mass to main mass i.e M2/M1

+//Wn is exitation frequency

+//calculations

+W1=sqrt(Kt1/J1)

+//case1

+x1=0.8//where x=(W/W2)

+u1=[x1^2-1]^2/x1^2//from Eqn 5.7.9,Sec 5.7.1.

+//case 2

+x2=1.2//where x=(W/W2)

+u2=[x2^2-1]^2/x2^2//from Eqn 5.7.9,Sec 5.7.1.

+if u1>u2 then

+    u=u1

+else

+    u=u2

+end

+J2=u*J1//moment of inertia of absorber in Kg-m^2

+Kt2=u*Kt1// total torsional stiffness of absorber 

+K=Kt2/(4*0.1^2)//stiffness of each spring in N/m

+b2=-(To/Kt2)//amplitude of vibration in rad

+//output

+mprintf('The maximum moment of inertia of absorber(J2) is %4.4f Kg-m^2 and\n %f is the stiffness of each of the four absorber springs such that\n the resonant frequencies are at least 20 percent from exitation frequency.\n The amplitude of vibration of this absorber(b2) at exitation frequency\n is %f radians',J2,K,b2)