| 材料塑性成形过程最优化设计—Ⅰ有限元灵敏度分析方法 |
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| 引用本文： | 赵国群,王广春.材料塑性成形过程最优化设计—Ⅰ有限元灵敏度分析方法[J].塑性工程学报,1999,6(2):1-7. |
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| 作者姓名： | 赵国群 王广春 |
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| 作者单位： | 山东工业大学模具工程技术研究中心 |
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| 基金项目： | 霍英东教育基金,山东省优秀中青年科学家科研奖励基金 |
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| 摘 要： | 本文采用有限元方法建立了一种非稳态材料塑性成形过程的灵敏度分析理论和模具形状优化设计方法。采用三次Ｂ样条函数描述预成形模具形状，Ｂ样条函数的控制点坐标（系数）作为优化设计变量，通过对控制点坐标的优化设计，使实际终成形件形状与理想终成形件形状之间的差别最小，从而实现预成形模具形状的优化设计，详细建立了目标函数、有限元节点坐标、节点速度对优化设计变量的解析灵敏度方程及其彼此之间的数学关系，并给出了节点速度灵敏度的边界条件
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| 关 键 词： | 有限元法 形状优化 灵敏度分析 材料塑性成形 预成形设计 模具设计 |
OPTIMIUM DESIGN OF MATERIAL FORMING POROCESS- FINITE ELEMENT SENSITIVITY ANALYSIS METHOD |
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| Zhao GuoqunWang GuangchunJia YuxiZhao Zhenduo.OPTIMIUM DESIGN OF MATERIAL FORMING POROCESS- FINITE ELEMENT SENSITIVITY ANALYSIS METHOD[J].Journal of Plasticity Engineering,1999,6(2):1-7. |
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| Authors: | Zhao GuoqunWang GuangchunJia YuxiZhao Zhenduo |
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| Abstract: | A sensitivity analysis method for preform die shape design in non-steady material forming processes is developed in this paper using the rigid viscoplastic finite element methodThe preform die shapes are represented by cubic Bspline curvesThe control points or coefficients of Bspline are used as the design variablesThe optimization problem is to minimize the zone where the realized and desired final forging shapes do not coincideThe sensitivities of the objective function,nodal coordinates and nodal velocities with respect to the design variables are developed in detail and the relationships between them are establishedThe boundary conditions of the nodal velocity sensitivity are also given |
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| Keywords: | finite element method shape optimization sensitivity analysis material forming preform design die design |
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