薄扁球壳受冲击载荷作用时动力屈曲的数值计算

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

A Numerical Calculation of Dynamic Buckling of a Thin Shallow Spherical Shell under Impact

摘要: 本文在轴对称变形的假设前题下,通过将扩展了的Marguerre's方程化为差分方程^[1],对其上作用荷载面积不同时的固支弹性薄扁球壳的屈曲问题作了一些探讨.由此发现,固支薄扁球壳在外界冲击荷载作用下,在λ(=2[3(1-v²)]^1/4(H/h)^1/2)的某一范围内发生了跳跃屈曲,并得到轴对称跳跃屈曲荷载随壳体上荷载作用面积的增大而提高的结论.
- 壳体 /
- 屈曲 /
- 撞击
Abstract: Assuming the deformation of the shell has an axial symmetrically form,we transform the Marguerre's equations^[1] into difference equations, and use these equations to discuss the buckling of an elastic thin shallow spherical shell subjetted to impact loads.The result shows when impact load acts on the shell, a jump of the shell takes place dependent on the values λ and the critical buckling load increases with the enlargement of the loading area.
- shell /
- buckling /
- impact

[1]	Marguerre,K.,Zur Theorie der Gekrummten Platte Groaser Formanderung,Proccedings of the Fifth International Congress of Applied Mechanics(1938),93.
[2]	Humphreya,J.S.and S.R.Bodner,Dynamic buckling of shallow shell under impulsive loading,Journal of the Engineering Mechanics Division,Procceding of the American Society of Civil Engineers,88,EM2 April(1962),17-36.
[3]	Budiansky,B.and R.S.Roth,Axisymmetric Dynamic Buckling of Clamped Shallow Spherical Shell,TND-1610,NASA(1962),597-606.
[4]	Huang,N.C.,Axisymmetric dynamic snap-through of elastic clamped shallow spherical shell,AIAA Journal,7,2(1969).
[5]	Archer,Robert R.and Charles G.Lange,Nonlinear dynamic behavior of shallow spherical shell,AIAA Journal.8,12(1965).
[6]	Stricklin,James A.and J.Edwardo Martinei,Dynamic buckling of clamped spherical caps under step pressure loading,AIAA Journal(1969).
[7]	Stephens,Wendell B.and Fulton Roberte,Axisymmetric static and dynamic buckling of spherical caps due to centrally distributed pressure,AIAA,J.,7,11(1969).
[8]	Johnson,D.E.and R.Grief,Dynamic response of cylindrical shell:two numerical methods,AIAA.J.,4,3(1966).486-494.
[9]	Simitses,G.J.,Axisymmetric dynamic snap-through buckling of shallow spherical caps,AIAA.J.,5,May(1967),1019-1021.