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Diffstat (limited to '3532/CH5/EX5.4/Ex5_4.sce')
| -rw-r--r-- | 3532/CH5/EX5.4/Ex5_4.sce | 24 |
1 files changed, 24 insertions, 0 deletions
diff --git a/3532/CH5/EX5.4/Ex5_4.sce b/3532/CH5/EX5.4/Ex5_4.sce new file mode 100644 index 000000000..2a3cdc65b --- /dev/null +++ b/3532/CH5/EX5.4/Ex5_4.sce @@ -0,0 +1,24 @@ +clc
+clear
+mprintf('Mechanical vibrations by G.K.Grover\n Example 5.3.3\n')
+//given data
+m1=500//mass of disc 1 in Kgs
+m2=1000//mass of disc 2 in Kgs
+D1=1.25//outer dia of disc 1 in m
+D2=1.9//outer dia of disc 2 in m
+l=3.0//lenght of shaft in m
+d=0.10//dia of shaft in m
+G=0.83*10^11//rigidity modulus in N/m^2
+//calculations
+J1=m1*(D1/2)^2/2//mass moment of inertia in kg-m^2
+J2=m2*(D2/2)^2/2//mass moment of inertia in kg-m^2
+Ip=(%pi/32)*d^4//section modulus of shaft in m^4
+Kt=G*Ip/l//stiffness in N-m/rad
+Wn=sqrt(Kt*(J1+J2)/(J1*J2))//from Eqn 5.3.28,Sec 5.3.3
+fn=Wn/(2*%pi)
+Kt1=2*Kt
+Kt2=2*Kt*2^4
+Kte=1/((1/Kt1)+(1/Kt2))
+x=sqrt(Kte/Kt)//ratio of modified natural freq to original natural frequency
+//output
+mprintf('The natural frequency of the torsional vibration is\n %4.4f rad/sec or %3.3f Hz.\n The ratio of modified natural frequency to original natural frequency\n is %3.3f.Which means stiffening a system increases its natural frequency',Wn,fn,x)
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