径向轴对称冲击载荷下正交异性固支圆板的Liapunov稳定性

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名

邮箱

手机号码

标题

留言内容

验证码

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

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

摘要: 本文用Liapunov第二方法分析了周边受轴对称径向冲击载荷作用的极正交各向异性固支圆板的稳定性.分析是在小挠度和弹性范围内进行的.冲击载荷被假定具有阶梯脉冲形式.导出了相应的稳定性条件.
- 轴对称 /
- 冲击载荷 /
- 圆板 /
- Liapunov稳定性
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

[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).

点击查看大图