Page 61 - Thomson, William Tyrrell-Theory of Vibration with Applications-Taylor _ Francis (2010)
P. 61
48 Free Vibration Chap. 2
Figure P2-50.
2-51 Determine the flexibility of a simply supported uniform beam of length L at a point
|L from the end.
2-52 Determine the effeetive stiffness of the system shown in Fig. P2-52, in terms of the
displacement x.
Figure P2-52.
2-53 Determine the effective stiffness of the torsional system shown in Fig. P2-53. The two
shafts in series have torsional stiffnesses of and /c2-
Figure P2-53.
2-54 A spring-mass system, m and A, is started with an initial displacement of unity and an
:
initial velocity of zero. Plot In X versus n, where X is the amplitude at cycle n for (a)
viscous damping with C= 0.05, and (b) Coulomb damping with damping force =
0.05A:. When will the two amplitudes be equal?
2-55 Determine the differential equation of motion and establish the critical damping for
the system shown in Fig. P2-55.
