Page 550 - Thomson, William Tyrrell-Theory of Vibration with Applications-Taylor _ Francis (2010)

Answers to Selected Problems 537

11- 21 Using one free-free mode and translation mode of
( i l ) ' = _________________ ____________________
' A/| + Mn<f>\{Q) - [A/J^?(0)/(A/„ + 2m/)J
El
where A/, = J (pf(x)mdx = 2ml, (o, = 22.4^^
m (2 //
CHAPTER 12
E/

^4.63
12- 2 CO ,
ME
12-3 = 1.62
me
2 3EI/E + 2k
33 2
140
El
,
12-11 CO = 9.96 , where 0.2188mc,/ = total mass
(0.2188/«„/)/■'

2 _ ( 3EI ]
12-12 1
I 27ni] + 8 /7Z2 + m 3
12-15 /,j = 495.2 cps
12.IC ( i - ‘

12-23 a;, = 0.6291/ —
J

12-25 a>i 0 .4 4 5 1 / —
m

^2 1.2471/^
m

0^3 = 1.802

62^ // n
12-30 -n/2
MP V 2 yi/yi
y r / 0.320 \
12-31 ia, 1.651i
y ih \ 1.000 /