Page 312 - Thomson, William Tyrrell-Theory of Vibration with Applications-Taylor _ Francis (2010)
P. 312
Chap. 9 Problems 299
0 ^ 2 N Figure P9-35.
9-36 An A-mass pendulum is shown in Fig. P9-36. Determine the difference equations,
boundary conditions, and the natural frequencies.
Figure P9-36.
9-37 If the left end of the system of Prob. 9-36 is connected to a heavy flywheel, as shown in
Fig. P9-37, show that the boundary conditions lead to the equation
K J R
( - sin Np cos p + sin Np ) I 1 + 4 ~2 -2-jS\n^ P cos Np
^0 ^ZK K
Figure P9-37.
9-38 If the top story of a building is restrained by a spring of stiffness Kj^, as shown in Fig.
P9-38, determine the natural frequencies of the A-story building.
9-39 A ladder-type structure is fixed at both ends, as shown in Fig. P9-39. Determine the
natural frequencies.
Figure P9-38.
