On the Liapunov’s Stability of a Clamped Orthotropic Round Plate under Radial Axisymmetrical Impact Load

Jie Min

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Jie Min. On the Liapunov’s Stability of a Clamped Orthotropic Round Plate under Radial Axisymmetrical Impact Load[J]. Applied Mathematics and Mechanics, 1996, 17(2): 145-149.

Citation:

Jie Min. On the Liapunov’s Stability of a Clamped Orthotropic Round Plate under Radial Axisymmetrical Impact Load[J]. Applied Mathematics and Mechanics, 1996, 17(2): 145-149.

Citation:

Jie Min. On the Liapunov’s Stability of a Clamped Orthotropic Round Plate under Radial Axisymmetrical Impact Load[J]. Applied Mathematics and Mechanics, 1996, 17(2): 145-149.

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On the Liapunov’s Stability of a Clamped Orthotropic Round Plate under Radial Axisymmetrical Impact Load

Jie Min

Department of Mechanics, Huazhong University of Science and Technology, Wuhan, 430074, P. R.China

Received Date: 1994-08-10
Rev Recd Date: 1995-01-30
Publish Date: 1996-02-15

Abstract

Abstract

Liapunov's 2nd method is applied to analyse the Stability of a ciamped poleorthotropic round plate acted by a radial axisymmetrical impact load on its periphery. The analysis is carried cut under the assumptions of small deflection and elasticity The impact load is supposed to have a step impulsive form. A sufficient stability condition is given.
- axisymmetrical,
- impact load,
- round plate,
- Liapunov’s stability

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References(5)

References

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[4]	S.Timoshenko,et al.,Theory of Plates and Shells,2nd edition,McGraw-Hill(1959).
[5]	G.N.Watson.A Treatise on the Theoro or Bessel Functions.end edition,Cambridge(1944).