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Diffstat (limited to '3792/CH8/EX8.6')
| -rw-r--r-- | 3792/CH8/EX8.6/Ex8_6.sce | 20 |
1 files changed, 20 insertions, 0 deletions
diff --git a/3792/CH8/EX8.6/Ex8_6.sce b/3792/CH8/EX8.6/Ex8_6.sce new file mode 100644 index 000000000..f4db86a9e --- /dev/null +++ b/3792/CH8/EX8.6/Ex8_6.sce @@ -0,0 +1,20 @@ +// SAMPLE PROBLEM 8/6
+clc;funcprot(0);
+// Given data
+W=100;// The weight of the piston in lb
+k=200;// The spring modulus in lb/in
+c=85;// The damping coefficient in lb-sec/ft
+a=80;// The top surface area in in^2
+omega=30;// rad/s
+g=32.2;// The acceleration due to gravity in ft/sec^2
+p=0.625;// lb/in^2
+
+// Calculation
+omega_n=sqrt((k*12)/(W/g));// The natural frequency of the system in rad/sec
+eta=c/(2*(W/g)*omega_n);// The damping ratio
+F_0=p*a;// lb
+X=(F_0/(k*12))/((1-(omega/omega_n)^2)^2+(2*eta*omega/omega_n)^2)^(1/2);// The steady-state amplitude in ft
+phi=atan((2*eta*omega/omega_n)/(1-(omega/omega_n)^2));// The phase angle in rad
+// x_p=Xsin(omega*t-phi);
+F_trmax=X*sqrt((k*12)^2+(c^2*omega^2));// The maximum force transmitted to the base in lb
+printf("\nThe steady-state displacement as a function of time,x_p=%0.5fsin(%2.0ft-(%1.3f))ft \nThe maximum force transmitted to the base,(F_tr)_max=%2.1f lb",X,omega,phi,F_trmax);
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