Nonlinear transverse vibrations of a slightly curved beam carrying a concentrated mass

2009 ◽  
Vol 25 (6) ◽  
pp. 871-882 ◽  
Author(s):  
E. Özkaya ◽  
M. Sarigül ◽  
H. Boyaci
Keyword(s):  
Curved Beam ◽  
Concentrated Mass ◽  
Transverse Vibrations

Transverse Vibrations of a Free Circular Plate Carrying Concentrated Mass

1951 ◽  
Vol 18 (3) ◽  
pp. 280-282
Author(s):  
R. E. Roberson
Keyword(s):  
Laplace Transform ◽  
Mode Shape ◽  
Natural Frequencies ◽  
Mass Ratio ◽  
Concentrated Mass ◽  
Laplace Transform Method ◽  
Transform Method ◽  
Transverse Vibrations ◽  
The Laplace Transform ◽  
Plate Face

Abstract The plate under consideration carries a concentrated mass at its center, which is struck impulsively in a direction perpendicular to the undisturbed plate face. Only circularly symmetric vibrations are considered. The solution is carried out by the use of the Laplace transform method, treating the concentrated mass as a plate-density impulse. The first four natural frequencies are displayed as functions of mass ratio, and the first mode shape is displayed for three mass ratios. The natural frequencies, particularly the higher, are shown to be very sensitive to changes in mass ratio at small values of the concentrated mass.

Sign in / Sign up

Export Citation Format

Share Document