Page 383 - Thomson, William Tyrrell-Theory of Vibration with Applications-Taylor _ Francis (2010)

370 Mode-Summation Procedures for Continuous Systems Chap. 11

and the generalized mass and damping to
M\ = A/, + (^)
M,

where a one-mode approximation is used for the inertia forces.
11-25 Formulate the vibration problem of the frame shown in Fig. PI 1-25 by the compo­
nent-mode synthesis. Assume the corners to remain at 90°.

Figure PI 1-25.
11-26 A rod of circular cross section is bent at right angles in a horizontal plane as shown in
Fig. PI 1-26. Using component-mode synthesis, set up the equations for the vibration

perpendicular to the plane of the rod. Note that member 1 is in flexure and torsion.
Assume that it is bending only in the vertical plane.

Figure PI 1-26.