The Influence of Axial Compression on the Free Vibration Frequencies of Cross-ply Laminated and Moderately Thick Cylinders

Year 2020, Volume: 23 Issue: 1, 45 - 52, 01.03.2020

İzzet Ufuk Çağdaş

https://doi.org/10.2339/politeknik.447210

Cited By: 1

Abstract

In this study, the free vibration behavior of axially
compressed cross-ply laminated composite cylinders is investigated using a
semi-analytical shell finite element based on a consistent first order shear
deformable shell theory, which includes the influences of rotatory inertia and
thickness coordinate/radius ratio. First, a verification study is conducted to
validate the axisymmetric shell finite element used in this study and, for the
non-compressed cases, the free vibration frequencies obtained using the finite
element developed are found out to be in excellent agreement with the published
results found in the literature. The same element is also validated for
first-ply failure analysis and good agreement is observed with the first-ply
failure loads obtained using a shear deformable and curved shell element. Then,
numerical results for free vibration analyses are presented for axially
compressed composite cylinders having different boundary conditions and for
which the level of axial compression is kept below the corresponding linear
buckling and first ply failure loads. It is observed that, the fundamental free
vibration frequencies decrease sharply for axial load levels higher than about
60~80% of the buckling loads of the cylindrical structures considered. It is
also determined that the first-ply failure load is lower than the buckling load
for some of the thicker cylinders.

Keywords

composite cylinder, finite elements, compression, Vibration, buckling

The Influence of Axial Compression on the Free Vibration Frequencies of Cross-ply Laminated and Moderately Thick Cylinders

Abstract

In
this study, the free vibration behavior of axially compressed cross-ply
laminated composite cylinders is investigated using a semi-analytical shell
finite element based on a consistent first order shear deformable shell theory,
which includes the influences of rotatory inertia and thickness
coordinate/radius ratio. First, a verification study is conducted to validate
the axisymmetric shell finite element used in this study and, for the
non-compressed cases, the free vibration frequencies obtained using the finite
element developed are found out to be in excellent agreement with the published
results found in the literature. The same element is also validated for
first-ply failure analysis and good agreement is observed with the first-ply
failure loads obtained using a shear deformable and curved shell element. Then,
numerical results for free vibration analyses are presented for axially
compressed composite cylinders having different boundary conditions and for
which the level of axial compression is kept below the corresponding linear
buckling and first ply failure loads. It is observed that, the fundamental free
vibration frequencies decrease sharply for axial load levels higher than about
60~80% of the buckling loads of the cylindrical structures considered. It is
also determined that the first-ply failure load is lower than the buckling load
for some of the thicker cylinders.

Keywords

Vibration, buckling, composite cylinder, finite elements, compression

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