外压模拟计算中圆筒初始几何偏差描述方法的研究

Research on Initial Geometric Deviation Description for Numerical Simulation of Cylindrical Shells under External Pressure

在圆筒外压模拟计算中,初始几何偏差施加方式的不同对模拟计算结果影响较大。就＂一致缺陷模态法＂和傅里叶级数两种初始几何偏差的描述方法进行简述。根据5组初始几何偏差实测数据,取周向波数l=2~8和初始相位角ф12~ф18,提出一种描述卷焊圆筒初始几何偏差的傅里叶级数简化方法。根据文献提供的42组圆筒基本尺寸、最大初始几何偏差值、材料的弹性模量和屈服强度,分别采用＂简化傅里叶级数法＂和＂一致缺陷模态法＂施加初始几何偏差,并进行双非线性屈曲模拟分析,模拟中材料本构关系为双线性材料模型。将两种初始几何偏差施加方法模拟所得的临界失稳压力值与文献中的试验值进行对比讨论,结果表明,按＂一致缺陷模态法＂模拟所得结果普遍小于文献中的试验值,而按＂简化傅里叶级数法＂模拟所得结果则与文献中的试验值吻合较好。由此表明简化傅里叶级数能够较为合适地描述卷焊圆筒的初始几何偏差分布。

The simulation result of cylindrical shells under external pressure is influenced greatly by different initial geometric deviation. Two forms of initial geometric deviations i.e., the first-order buckling mode of shell and the Fourier series representation, are briefly introduced. A simplified method of Fourier series is developed according to circumferential wavel（2-8）, initial phase angleφ12-φ18 and 5 groups initial geometric deviations data. According to the basic dimension, maximum initial geometric deviation, elastic modulus and yield strength of cylindrical shells in the existing reference, simplified Fourier series and first-order buckling mode method are applied to describe the initial geometric deviations of cylindrical shells in the double nonlinear buckling simulation, bilinear material model is adopted to the constitutive relation of materials. The results are discussed and the values regarding the buckling pressure obtained by the simulation are compared with those from experiments reported in reference. The results show that the values of buckling pressure obtained by first-order buckling mode method are generally smaller than the experimental values, and the results obtained by the simplified Fourier series method are in good agreement with the experimental values in the reference. This illustrates that the initial geometric deviations of cylindrical shells can be better expressed by the simplified Fourier series.