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

Jie Min

Volume 17 Issue 2

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Article Navigation > Applied Mathematics and Mechanics > 1996 > 17(2): 145-149

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

[1]	R.J.Knops and E.W.Wikes,On Movchan's theorems for stability of continuous systems,Int.J.Eng.Sci.4(1966).303-329.
[2]	A.A.Movchan.Stabilitv of processes with respects to two metrice.J..Appl.Math.Mech.,24(1960).1056-1524.
[3]	H.Leipholz.Stability of Elastic Systems,Leyden-Noordhoff,Amsterdam(1980).
[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).

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