Page 62 - Thomson, William Tyrrell-Theory of Vibration with Applications-Taylor _ Francis (2010)
P. 62
Chap. 2 Problems 49
2-56 Determine the differential equation of motion for free vibration of the system shown
in Fig. P2-56, using virtual work.
A'" = Po 7
Figure P2-56.
2-57 The system shown in Fig. P2-57 has two rigid uniform beams of length / and mass per
unit length m, hinged at the middle and resting on rollers at the test stand. The hinge
is restrained from rotation by a torsional spring K and supports a mass M held up by
:
another spring A to a position where the bars are horizontal. Determine the equation
of motion using virtual work.
Figure P2-57.
2-58 Two uniform stiff bars are hinged at the middle and constrained by a spring, as shown
in Fig. P2-58. Using virtual work, set up the equation of motion for its free vibration.
Figure P2-58.