Page 212 - Thomson, William Tyrrell-Theory of Vibration with Applications-Taylor _ Francis (2010)
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Chap. 6 Problems 199
6-2 Three equal springs of stiffness k Ib/in. are joined at one end, the other ends being
arranged symmetrieally at 120° from each other, as shown in Fig. P6-2. Prove that the
influence coefflcients of the junction in a direction making an angle 6 with any spring
is independent of 0 and equal to 1/1.5/c.
Figure P6-2.
6-3 A simply supported uniform beam of length / is loaded with weights at positions 0.25/
and 0.6/. Determine the flexibility influence coefficients for these positions.
6-4 Determine the flexibility matrix for the cantilever beam shown in Fig. P6-4 and
calculate the stiffness matrix from its inverse.
Figure P6-4.
6-5 Determine the influence coefficients for the triple pendulum shown in Fig. P6-5.
)^3
Figure P6-5.
6-6 Determine the stiffness matrix for the system shown in Fig. P6-6 and establish the
flexibility matrix by its inverse.
3 Figure P6-6.
