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采用四次多项式和正弦函数拟合带钢的失稳挠度,依据最小势能原理建立了带钢板形失稳快速判别模型。以常见的双边浪和中间浪形式的残余应力为例,比较了快速判别法与降阶模型法的差异性,并采用快速判别法分析了带钢厚度、宽度对判别因子的影响。计算结果表明,在计算结果相近的情况下,快速判别法较降阶模型法计算速度更快,计算时间在0.5s以内,满足在线使用要求;板形判别因子随着带钢厚度的增加而增加,随着带钢宽度的增加而减小;在带钢厚度、宽度及残余应力幅值相等的情况下,双边浪比中间浪更容易失稳。
The fourth order polynomial and sine function were used to fit the buckling deflection of strip. Based on the principle of least potential energy, a fast discriminating model of strip shape instability was established. Taking the common residual stress in the form of bilateral waves and intermediate waves as an example, the differences between the fast discrimination method and the reduced order model method are compared. The influence of strip thickness and width on discriminant factors is analyzed by fast discriminant method. The calculation results show that the fast discriminant method is faster than the reduced order model method and the calculation time is less than 0.5s, which meets the requirements of online use when the calculated results are similar. The discriminant of plate shape increases with the increase of strip thickness , And decreases with the increase of strip width. When strip thickness, width and residual stress amplitude are equal, the bilateral wave is more prone to destabilization than the intermediate wave.