The resonant response characteristics of a tapered beam are studied using Euler–Bernoulli beam theory. The sensitivity of the beam’s maximum stress to variations in its geometry is studied for three types of harmonic pressure loading. The implications to the response of airfoil chordwise bending modes are discussed.
Issue Section:
Gas Turbines: Structures and Dynamics
1.
Conway
H. D.
Dubil
J. F.
1965
, “Vibration Frequencies of Truncated-Cone and Wedge Beams
,” ASME Journal of Applied Mechanics
, Vol. 87
, pp. 932
–934
.2.
Cranch
E. T.
Adler
A. A.
1956
, “Bending Vibrations of Variable Section Beams
,” ASME Journal of Applied Mechanics
, Vol. 78
, pp. 103
–108
.3.
Dowell, E. H., Curtiss, H. C., Scanlan, R. H., and Sisto, F., 1989, A Modern Course in Aeroelasticity, Kluwer Academic Publishers, Boston, 2nd ed.
4.
Nicholson
J. W.
1917
, “The Lateral Vibrations of Bars of Variable Section
,” Proc. Royal Society of London, England
, Vol. 93
, Series A, pp. 506
–519
.5.
Roy
P. K.
Ganesan
N.
1992
, “Some Studies on the Response of a Tapered Beam
,” Computers and Structures
, Vol. 45
, No. 1
, pp. 185
–195
.6.
Sanger
D. J.
1968
, “Transverse Vibration of a Class of Nonuniform Beams
,” Journal Mechanical Engineering Science
, Vol. 10
, No. 2
, pp. 111
–120
.7.
Ungar
E. E.
1962
, “Maximum Stresses in Beams and Plates Vibrating at Resonance
,” ASME Journal of Engineering for Industry
, Vol. 84
, pp. 149
–155
.
This content is only available via PDF.
Copyright © 1997
by The American Society of Mechanical Engineers
You do not currently have access to this content.