Page 195 - Thomson, William Tyrrell-Theory of Vibration with Applications-Taylor _ Francis (2010)
P. 195
182 Properties of Vibrating Systems Chap. 6
(a) (b)
Figure 6.4-4.
is found by letting t’l = 1 and 6 ^ = 6 2 = 0, dis shown in Fig. 6.4-4(a). By cutting out
the corners and imposing the condition of equilibrium for the free-body diagram, the
results are (see Fig. 6.4-5)
El ( \ 12 E l
24 7T 0 0 1
6^ 0^
El -12^ 12 E l
M, >= 0 0 <0 ^3 * 7 '— '
El
M2 0 0 0
; . ;
Figure 6.4-5.
The second column of the stiffness matrix is found from the configuration of
Fig. 6.4-4(b). Summing forces and moments at the corners we have (see Fig. 6.4-6)
V ^
( \ E l (
0 6 ^ 0 0 2-^ +
M, ’ = 0 8^ 0 1 ^
0 El
M 2 2 0
\ ) _ 1 ;
Figure 6.4-6.
