Page 544 - Thomson, William Tyrrell-Theory of Vibration with Applications-Taylor _ Francis (2010)

Answers to Selected Problems 531

/3 / / 2 - 6 E I , / l j
1
/2
2 El2/ 12
I2/ I 2 2
- 6£ /,/ /f 2 EI2/ I {A El,/l,+ AEI2/ I 2)
1.44// -8 .4 0 //
1.00 1.00
0.207 -1.208
0.293 1.707

Ö//2 3 // - 3 / /
= { 0}

.. not proportional

6-27 F = X = /c*(l + /y)x

^k k
6-31 Q2 + 0.8902^2^ T^T 0 19 8 1— ^2 = 0.4068/<n(i)

^■3+ 1.4614^31/ — <73+ 0.5339 —<73= -0.3268/<„(7)
6-32 ^ ( 10) = 1.90 + \/(0.610)^ + (0.369^) = 2.61
mfln
^ 2 ü), ü>2({i(02 i 2 ‘^l ) n i l ^ l )
6-37 a = ----------^ ^ --------, ß = ------- 2------2-----

CO2 ^ \ ^ 2 ^ 1
cc + ßcoj
^3 = 0.1867
6-39 Cl = 0.8985, C2 = -0.1477, C3 = 0.3886
P
/2
1
6-41 fl, 11 3EI + r + a:
/2 /
12 ^ ^ 2 1 ^ " 2EI K
/ 1
22 ■ El
CHAPTER 7
7-1 Constraints «2 ^ ^5 ^ ^
WI —

W4 = i /6
System has 2 DOF.