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以基于全量理论的反向模拟法为仿真工具,将变形前后所有单元厚度相对变化之和作为衡量成形零件的变形均匀性的标准,以单位长度拉延筋阻力为优化设计变量,采用敏度分析法,对拉延筋阻力的布置进行优化。利用推导的敏度信息,结合反向模拟法计算的应力应变信息,采用非线性规划优化算法FSQP,更新设计变量,实现目标函数最小化,直至迭代平衡,输出优化结果。Numisheet2002某汽车翼子板的计算实例中,通过优化结果与基于增量理论的Dynaform软件计算结果比较,证明了采用反向模拟法与灵敏度分析法相耦合的方法进行拉延筋设计的高效性。
Taking the inverse simulation method based on total quantity theory as the simulation tool, the sum of the relative changes of the thickness of all the elements before and after deformation is taken as the standard to measure the deformation uniformity of the formed parts. The resistance of drawbead per unit length is taken as the optimization design variable. Act, to optimize the arrangement of drawbead resistance. Based on the derived sensitivity information and the stress-strain information calculated by the inverse simulation method, the nonlinear programming optimization algorithm FSQP is used to update the design variables to minimize the objective function until the iterative equilibrium is reached and the optimization result is output. Numisheet ’s2002 automobile fender calculation example, by comparing the optimization results with the calculation results of Dynaform software based on incremental theory, it proves that the efficiency of drawbead design by the method of inverse simulation and sensitivity analysis .