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OUT-OF-PLANE FREE VIBRATIONS OF CIRCULAR STRIPS WITH VARIABLE BREADTH
- Source :
- International Journal of Structural Stability and Dynamics. :403-423
- Publication Year :
- 2007
- Publisher :
- World Scientific Pub Co Pte Lt, 2007.
-
Abstract
- This paper deals with the out-of-plane free vibrations of circular strips with linearly varying breadth. In deriving the differential equations for such strips, the effects of the rotatory and torsional inertias and shear deformation are considered. The differential equations are numerically solved to calculate the natural frequencies and mode shapes. In the numerical examples, three end constraints, i.e. clamped–clamped, clamped-hinged and hinged–hinged ends, are considered. The five lowest frequency parameters and mode shapes are presented. The effects of the rotatory and torsional inertias, and shear parameter on the natural frequencies are evaluated. Parametric studies are carried out for the influence of following parameters of the strip on the natural frequencies: subtended angle, section ratio, thickness ratio, and slenderness ratio. Also presented are the experimental validations of the seven lowest predicted natural frequencies. The natural frequencies obtained by this study agree well with those by the finite element method for both the flexural and torsional modes.
- Subjects :
- Physics
Differential equation
Applied Mathematics
Mechanical Engineering
Mathematical analysis
Aerospace Engineering
Torsion (mechanics)
Subtended angle
Ocean Engineering
Geometry
Building and Construction
STRIPS
Finite element method
law.invention
Vibration
Buckling
Normal mode
law
Civil and Structural Engineering
Subjects
Details
- ISSN :
- 17936764 and 02194554
- Database :
- OpenAIRE
- Journal :
- International Journal of Structural Stability and Dynamics
- Accession number :
- edsair.doi...........995457e3d418a6d575cc4ecbb8a026a4