为了展平成形后的工件或修正初始毛坯构形,提出了一种基于一步逆成形有限元法的约束展平算法[Constrained Unfolding Algorithm based on one-step inverse FEM(Finite Element Method),简称CUA]。CUA将展平或修正过程考虑为一个约束优...为了展平成形后的工件或修正初始毛坯构形,提出了一种基于一步逆成形有限元法的约束展平算法[Constrained Unfolding Algorithm based on one-step inverse FEM(Finite Element Method),简称CUA]。CUA将展平或修正过程考虑为一个约束优化问题,然后采用适用于约束问题的有限内存拟牛顿法L-BFGS-B来求解。分别列举了带约束地展平成形工件、带约束地修正初始坯料以及无约束地展平最终构形几个典型实例,它们成功地消除了成形工件展平后的打折单元,提高了初始毛坯构型的质量。这些例子验证了CUA既可以求解约束问题,也可以求解无约束问题,并且具有占用内存小、计算速度较快和精度较高的优点,可以为设计者在产品设计阶段提供便利。展开更多
Although multi-stage incremental sheet forming has always been adopted instead of single-stage forming to form parts with a steep wall angle or to achieve a high forming performance, it is largely dependent on empiric...Although multi-stage incremental sheet forming has always been adopted instead of single-stage forming to form parts with a steep wall angle or to achieve a high forming performance, it is largely dependent on empirical designs. In order to research multi-stage forming further, the effect of forming stages(n) and angle interval between the two adjacent stages(Δα) on thickness distribution was investigated. Firstly, a finite element method(FEM) model of multi-stage incremental forming was established and experimentally verified. Then, based on the proposed simulation model, different strategies were adopted to form a frustum of cone with wall angle of 30° to research the thickness distribution of multi-pass forming. It is proved that the minimum thickness increases largely and the variance of sheet thickness decreases significantly as the value of n grows. Further, with the increase of Δα, the minimum thickness increases initially and then decreases, and the optimal thickness distribution is achieved with Δα of 10°.Additionally, a formula is deduced to estimate the sheet thickness after multi-stage forming and proved to be effective. And the simulation results fit well with the experimental results.展开更多
文摘为了展平成形后的工件或修正初始毛坯构形,提出了一种基于一步逆成形有限元法的约束展平算法[Constrained Unfolding Algorithm based on one-step inverse FEM(Finite Element Method),简称CUA]。CUA将展平或修正过程考虑为一个约束优化问题,然后采用适用于约束问题的有限内存拟牛顿法L-BFGS-B来求解。分别列举了带约束地展平成形工件、带约束地修正初始坯料以及无约束地展平最终构形几个典型实例,它们成功地消除了成形工件展平后的打折单元,提高了初始毛坯构型的质量。这些例子验证了CUA既可以求解约束问题,也可以求解无约束问题,并且具有占用内存小、计算速度较快和精度较高的优点,可以为设计者在产品设计阶段提供便利。
基金Project(51005258) supported by the National Natural Science Foundation of ChinaProject(CDJZR12130065) supported by the Fundamental Research Funds for the Central Universities,China
文摘Although multi-stage incremental sheet forming has always been adopted instead of single-stage forming to form parts with a steep wall angle or to achieve a high forming performance, it is largely dependent on empirical designs. In order to research multi-stage forming further, the effect of forming stages(n) and angle interval between the two adjacent stages(Δα) on thickness distribution was investigated. Firstly, a finite element method(FEM) model of multi-stage incremental forming was established and experimentally verified. Then, based on the proposed simulation model, different strategies were adopted to form a frustum of cone with wall angle of 30° to research the thickness distribution of multi-pass forming. It is proved that the minimum thickness increases largely and the variance of sheet thickness decreases significantly as the value of n grows. Further, with the increase of Δα, the minimum thickness increases initially and then decreases, and the optimal thickness distribution is achieved with Δα of 10°.Additionally, a formula is deduced to estimate the sheet thickness after multi-stage forming and proved to be effective. And the simulation results fit well with the experimental results.
