From 7f60ea012dd2524dae921a2a35adbf7ef21f2bb6 Mon Sep 17 00:00:00 2001
From: prashantsinalkar
Date: Tue, 10 Oct 2017 12:27:19 +0530
Subject: initial commit / add all books

---
 3532/CH4/EX4.11.2/Ex4_16.sce | 35 +++++++++++++++++++++++++++++++++++
 1 file changed, 35 insertions(+)
 create mode 100644 3532/CH4/EX4.11.2/Ex4_16.sce

(limited to '3532/CH4/EX4.11.2/Ex4_16.sce')

diff --git a/3532/CH4/EX4.11.2/Ex4_16.sce b/3532/CH4/EX4.11.2/Ex4_16.sce
new file mode 100644
index 000000000..44826cf62
--- /dev/null
+++ b/3532/CH4/EX4.11.2/Ex4_16.sce
@@ -0,0 +1,35 @@
+clc
+clear
+mprintf('Mechanical vibrations by G.K.Grover\n Example 4.11.2\n')
+//given data
+fn=5.75//natural frequency in Hz
+zeta=0.65
+ZbyY=1.01
+//case 1
+//substituting for (Z/Y)=1.01 and (W/Wn)=r^2 in Eqn 4.4.11 we get the quadratic eqn as follows
+//0.02*r^4-0.31*r^2+1=0
+//solving for r in above eqn whose rootes are r1 and r2
+r1=sqrt(((0.31)+sqrt(((-0.31)^2)-4*0.02*1))/(2*0.02))
+r2=sqrt(((0.31)-sqrt(((-0.31)^2)-4*0.02*1))/(2*0.02))
+if r1>r2 then
+    r=r1
+    else r=r2
+end
+bet=r//bet=(W/Wn)
+f1=bet*fn
+//case 2
+ZbyY=0.98
+//substituting for (Z/Y)=0.98 and (W/Wn)=r^2 in Eqn 4.4.11 we get the quadratic eqn as follows
+//0.04*r^4+0.31*r^2-1=0
+//solving for r in above eqn whose rootes are r3 and r4
+r3=sqrt((-0.31+sqrt(((0.31)^2)-4*0.04*-1))/(2*0.04))
+r4=sqrt((-0.31-sqrt(((0.31)^2)-4*0.04*-1))/(2*0.04))
+t1=real(r3)
+t2=real(r4)
+if t1>t2 then
+    r=r3
+    else r=r4
+end
+bet=r//bet=(W/Wn)
+f2=bet*fn
+mprintf('The lowest frequency beyond which the amplitude can be measured within\n  (i)one percent error is %4.4f Hz\n (ii)two percent error is %4.4f Hz',f1,f2)
-- 
cgit