Page 214 - Thomson, William Tyrrell-Theory of Vibration with Applications-Taylor _ Francis (2010)
P. 214
Chap. 6 Problems 201
6-13 Using the cantilever beam of Fig. P6-13, demonstrate that the reciprocity theorem
holds for moment loads as well as forces.
M. Mo
(1) {2Y
Figure P6-13.
6-14 Verify each of the results given in Fig. 6.4-2 by the area-moment method and
superposition.
6-15 Using the adjoint matrix, determine the normal modes of the spring-mass system
shown in Fig. P6-15.
Figure P6-15.
6-16 For the system shown in Fig. P6-16, write the equations of motion in matrix form and
determine the normal modes from the adjoint matrix.
K J W K 2J^
Figure P6-16.
6-17 Determine the modal matrix P and the weighted modal matrix P for the system
shown in Fig. P6-17. Show that P or P will diagonalize the stiffness matrix.
