基于有限元分析与蒙特卡罗模型的压力容器金属材料内层屈曲分析研究

Research on Inner Layer Buckling Analysis of Metal Materials in Pressure Vessels Based on Finite Element Analysis and Monte Carlo Model

为了评估压力容器金属内层在自紧状态下的屈曲行为及其可靠性,研究采用了结合内层凹陷界面压力、残余弯矩和有限元分析模型的方法,进一步运用了蒙特卡罗模型进行内层和缠绕层随机变量的抽样,以执行可靠性分析。结果显示,内层半径和厚度的随机变化对屈曲概率具有显著影响,自紧压力为46 MPa时屈曲概率为0.5,而自紧压为64 MPa时屈曲概率为1.0。同时,缠绕层厚度和弹性模量的变异性在自紧压力在30~60 MPa范围内导致屈曲概率显著上升,46 MPa时屈曲概率达0.5,64 MPa时屈曲概率达1.0。由此可以揭示屈曲行为的关键影响因素,对工业领域中压力容器的设计及可靠性评估具有重要意义。

In order to evaluate the buckling behavior and reliability of the metal inner layer of pressure vessels in a self tightening state,a method combining the concave interface pressure,residual bending moment,and finite element analysis model of the inner layer was adopted.The Monte Carlo model was further used to sample the random variables of the inner layer and winding layer for reliability analysis.The results show that the random changes in inner radius and thickness have a significant impact on the buckling probability,with a buckling probability of 0.5 at a self tightening pressure of 46 MPa and 1.0 at 64 MPa.At the same time,the variability of the thickness of the winding layer and the elastic modulus leads to a significant increase in the buckling probability within the range of 30~60 MPa under self tightening pressure.The buckling probability reaches 0.5 at 46 MPa and 1.0 at 64 MPa.This can reveal the key influencing factors of buckling behavior,which is of great significance for the design and reliability evaluation of pressure vessels in the industrial field.