Natural Frequency of Rotating Functionally Graded Cylindrical Shells

doi:10.3879/j.issn.1000-0887.2012.03.006

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Natural Frequency of Rotating Functionally Graded Cylindrical Shells[J]. Applied Mathematics and Mechanics, 2012, 33(3): 332-341. doi: 10.3879/j.issn.1000-0887.2012.03.006

Citation:

Natural Frequency of Rotating Functionally Graded Cylindrical Shells[J]. Applied Mathematics and Mechanics, 2012, 33(3): 332-341. doi: 10.3879/j.issn.1000-0887.2012.03.006

Citation:

Natural Frequency of Rotating Functionally Graded Cylindrical Shells[J]. Applied Mathematics and Mechanics, 2012, 33(3): 332-341. doi: 10.3879/j.issn.1000-0887.2012.03.006

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Natural Frequency of Rotating Functionally Graded Cylindrical Shells

doi: 10.3879/j.issn.1000-0887.2012.03.006

¹Liaoning Institute of General Aviation, Shenyang Aerospace University, Shenyang 110136, P.R.China;²School of Power and Energy Engineering, Shenyang Aerospace University, Shenyang 110136, P.R.China

Received Date: 2011-07-20
Rev Recd Date: 2011-12-04
Publish Date: 2012-03-15

Abstract

Abstract

Love’s first approximation theory was used to analyze the natural frequency of rotating functionally graded cylindrical shell. In order to verify the validity of the present method, natural frequencies of the simply supported nonrotating isotropic cylindrical shell and functionally graded cylindrical shell were compared with the available published results and good agreement was obtained. The effect of power law index, the wave number along the x and θdirection, thickness to radius ratio on natural frequencies of the simply supported rotating functionally graded cylindrical shell was investigated by several numerical examples. It is found that the fundamental frequencies of the backward waves increased with the increasing rotating speed while those of forward waves decreased with the increasing rotating speed, the forward and backward waves frequencies increased with the increasing thickness to radius ratio.
- natural frequency,
- rotating,
- functionally graded material,
- cylindrical shells

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References(15)

References

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