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弧长法能跟踪复杂的非线性平衡路径全过程,但计算受初始设定载荷影响较大,而针对这一局限设计的改进算法能更好地求解膜片翻转过程。考虑新型Ti3012合金、纯钛、理想材料,基于改进弧长法研究残余应变对锥柱形膜片多次翻转行为的影响,得出新型Ti3012合金膜片的正翻与回翻过程均没有纯钛膜片好,且存在严重偏心现象,其98%正向翻转状态时回翻过程中不仅偏心量达到60mm,而且出现褶皱等严重失效行为;理想材料在不同正向翻转状态时反向回翻,膜片均存在严重的偏心问题,最大偏心量大于80mm;纯钛膜片仅98%正向翻转状态时回翻过程中偏心量稍大,约为10mm。无残余应变这一材料特性降低了膜片结构刚度,同时伴有初始弹性模量减小的性质,这些因素均不利于膜片多次翻转。
The arc-length method can track the entire process of the complex nonlinear equilibrium path, but the calculation is greatly affected by the initial set load, and the improved algorithm designed for this limitation can better solve the membrane flip process. Considering the effect of the residual strain on the multi-turn behavior of the cone-shaped diaphragm based on the improved arc length method, the new type of Ti3012 alloy, pure titanium and ideal material are considered. The results show that there is no pure titanium The diaphragm is good, and there is a serious eccentric phenomenon, the 98% positive flip state not only the amount of eccentricity reached 60mm, and the occurrence of serious failure behavior such as folds; ideal material in the case of different reverse flip back, Diaphragm there is a serious problem of eccentricity, the maximum eccentricity is greater than 80mm; pure titanium diaphragm only 98% of the normal flip state reversal process slightly larger eccentricity, about 10mm. The material properties without residual strain reduce the structural rigidity of the diaphragm, accompanied by the initial reduction of the elastic modulus properties, these factors are not conducive to multiple flip the diaphragm.