Page 355 - Thomson, William Tyrrell-Theory of Vibration with Applications-Taylor _ Francis (2010)
P. 355
342 Introduction to the Finite Element Method Chap. 10
10-25 For the beam of Fig. P10-25, determine the finite element equation of motion. Using
CHOLTAC determine the eigenvalues and eigenvectors of the beam when k P E l
= 1.0 and KP/EI = iP.
Figure PlO-25.
10-26 Determine the free vibration equation for the frames of Fig. PlO-26.
t
(a)
Figure PlO-26.
10-27 Using two elements, determine the equivalent junction loads for the distributed
forces for the span in Fig. P10-27(a). For the span of Fig. P10-27(b), determine the
deflection and slope at midspan.
10-28 Set up the two-element equations for the system of Fig. PlO-28 in terms of the six
coordinates shown and solve the eigenvalues and eigenvectors.
