Page 353 - Thomson, William Tyrrell-Theory of Vibration with Applications-Taylor _ Francis (2010)
P. 353
340 Introduction to the Finite Element Method Chap. 10
t / z ^ Figure PlO-14.
10-15 Determine the eonsistent mass for the beam of Problem 10-14 and ealeulate its
natural frequencies.
10-16 Determine the frcc-vibration equation for the beam of Fig. PlO-16.
Figure PlO-16.
10-17 Using one element, determine the equation of motion, the natural frequencies, and
the mode shapes of a pinncd-free beam of Fig. PlO-17. Compare with the exact
values.
E I J
Figure PlO-17.
10-18 Repeat Prob. 10-17 using two elements.
10-19 Determine the stiffness matrix for the frame of Fig. PlO-19. The upper right end is
restricted from rotating but is free to slide in and out.
y/7//7/A Figure PlO-19.
10-20 The frame of Fig. PlO-20 is free to rotate and translate at the upper right end.
Determine its stiffness matrix.
W////A Figure PlO-20.
