Page 280 - Thomson, William Tyrrell-Theory of Vibration with Applications-Taylor _ Francis (2010)
P. 280
Chap. 8 Problems 267
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155^555555555555555^^555^5555^ Figure P8.26.
8-27 The equation of motion for the system shown in Fig. P8-27 is given as
m i (x \ ( ^ 1 + k2 + k^) -k2 -^ 5 0
m 2 - k i (*2 + * 3) 0 - k t
< ) -f-
m 3 X7, ~ks 0 (A 3 + A 4 + A 5) -A4
m4 0 -k(, -A4 (A 4 + kf,)
Determine its eigenvalues and eigenvectors using Choljac when m, = m and A, = k.
:
Plot the mode shapes and discuss the action of springs and A:^.
Figure P8.27.