Page 524 - Thomson, William Tyrrell-Theory of Vibration with Applications-Taylor _ Francis (2010)
P. 524
Appen. D Normal Modes of Uniform Beams 511
D.5 FREE-PINNED BEAM
The natural frequencies of the free-pinned beam are equal to those of the
clam ped-pinned beam. The characteristic functions of the free-pinned beam are
related to those of the clam ped-pinned beam as follows:
free-pinned clam ped-pinned
l
<>n K
<i>'n C
C 4>„
C 4>'n
REFERENCES
[1] Young, D. and R. P. Felgar Jr., Tables o f Characteristic Functions Representing
Norm al M odes o f Vibration o f a Beam. The University of Texas Publication No. 4913,
July 1, 1949.
