— ■ " ~ " No
Program for Qraph variation by parameters 7
CASIO
PROGRAM SHEET
Description
Damped vibration
(i) e>n (Overdamping)
p, = -e+yJe2- n 2 , P2 = - Ve2 - n 2
Vo ~ XoP2 pi/ Vo-XoP) p2f
y —
--------------
e —
--------------
e
p,-p2 P.-P2
(ii) e~n (Critical damping)
x=\xo + (v0 +£Xo)t ]e~£'
(iii) e<n (Damping vibration)
x=e~£,[xocos\ n2 -£ 2 t +
nvV-£
Example
Draw a graph of the damping vibration that possesses the following parameters:
(1) £ =0.1 (2) £ = 0 .2 (3) £ - 0.2
« = 1 .5 n =0.2 n =0.18
x0 = 2.5 xo = 2 xo = - 2
Vo = 1 Vo = 0.6 vo = 1.5
Preparation and operation
•Store the program written on the next page.
Memory contents
A
Xo
H
0
V
B
Vo
1
P Pi= -e + y fe 2 - n 2
w
C
s!n2- e 2
J
Q
p2== -£ -V £ 2 - « 2
X
t
D
K R Y
X
E
£
L
S
z
F
M
T
G
N
n U
- 1 5 2 -
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