论文部分内容阅读
给出了对称正交铺层剪切圆柱壳广义大挠度Ｄｏｎｎｅｌ方程．采用位移型摄动技术构造出计及横向剪切圆柱壳的屈曲和后屈曲渐近级数解，运用奇异摄动技术研究了圆柱壳两端部狭窄区内的边界层效应，并构造了与边界条件匹配的边界层一致有效渐近解．应用获得的当前解计算了在侧向外压作用下三层正交铺设圆柱壳的屈曲载荷并与实验值作了比较，两者十分接近．讨论了Ｂａｔｄｏｒｆ数和初始几何缺陷对圆柱壳屈曲与后屈曲性态的影响．给出的载荷－挠度关系式表明，对称正交铺层剪切圆柱壳的初始后屈曲具有弱稳定分支点．
The generalized large deflection Donnel equation of symmetric orthogonal ply shear shell is given. The displacement-type perturbation technique is used to construct the asymptotic series solution to the buckling and post-buckling of the transversely-shear cylindrical shell. The singular perturbation technique is used to study the boundary layer effect in the narrow region at both ends of the cylindrical shell. The boundary layer matching boundary conditions are uniformly and efficiently asymptotic solutions. Applying the current solution obtained, the buckling loads of three-layer orthogonal cylindrical shells subjected to lateral external pressure were calculated and compared with the experimental values, which are close to each other. The effects of Batdorf number and initial geometric defects on the buckling and post-buckling behavior of cylindrical shells are discussed. The load-deflection relationship given indicates that the initial post-buckling of a symmetric orthogonal ply shearing cylindrical shell has weakly stable branching points.