螺旋加强圈加强外压圆筒稳定性研究

STUDY ON THE STABILITY OF CYLINDER WITH HELICAL REINFORCEMENT UNDER EXTERNAL PRESSURE

利用螺旋弹簧与"露露"易拉罐设计制作了螺旋加强圈加强圆筒外压试件,在自行设计的外压加载实验装置上对其临界压力进行了测量。利用Ansys有限元软件对各实验模型进行了特征值屈曲分析和非线性屈曲分析,其中非线性屈曲分析结果与实验结果更为接近。利用正交设计的方法,确定了二十五组螺旋加强圈加强圆筒的结构尺寸,采用非线性屈曲分析方法,对其进行了参数化计算,并通过多元线性回归确定了临界压力与无量纲结构参数之间的关系,讨论了结构参数对临界压力的影响。对比螺旋加强圆筒与圆环加强圆筒临界压力可见,在所讨论的参数范围内,两者差异不大,相对差值小于4%。

Specimen for external pressurized cylinder with helical reinforcement was worked out with helical spring and ＂LuLu＂ pop can. Critical pressure was measured with the self-designed external pressure applying apparatus. Both eigenvalue buckling analysis and nonlinear buckling analysis were used to determine the critical pressure of the specimen, which indicates the nonlinear buckling analysis resuhs agree well with the experimental results. With the aid of orthogonal design method, 25 sets of cylinder with different helical reinforcement dimensions were determined for parametric nonlinear buckling analysis. Empirical formula for the critical pressure was obtained with muhiple linear regressions, and the relationship between the critical pressure and the non-dimensional structural parameters was discussed. By comparison of the critical pressures of the cylinder with helical reinforcement and that with circumferential reinforcement, it is found that the percentage difference between the critical pressure is no more than 4% within the parameter discussed.