管材振动绕弯塑性成形的力学分析
Mechanical Analysis of Pipe Rotary-draw Bending with Vibration
刘 伟1, 张红婴2, 姜志宏3
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作者单位：1. 江西理工大学 应用科学学院, 江西 赣州 341000; 2. 江西理工大学 建筑与测绘工程学院, 江西 赣州 341000; 3. 江西理工大学 机电工程学院, 江西 赣州 34100)
中文关键字：管材； 低频振动； 绕弯； 粘弹塑性； 应力
英文关键字：pipe; low frequency vibration; rotary-draw bending; visco elasticity plasticity; stress
中文摘要：介绍了管材低频振动绕弯塑性成形的工作原理，分析了管材低频振动绕弯塑性成形过程中金属的应变-时间历程；在一维粘弹塑性本构关系的基础上，利用Matlab的符号计算推导出了管材断面圆周上各点的动态应力的显性表达式。根据所给定的振型参数和材料力学性能参数，分别得出了管材金属在低频振动绕弯条件下的动态应力-时间曲线和在不同时间时管材断面圆周上各点的应力分布曲线。分析表明，与常规绕弯塑性成形过程的应力相比，管材低频振动绕弯塑性成形时的应力至少可以降低14.8%；附加低频振动后弯曲管材断面圆周上最大应力和最小应力的差值比无振动时管材断面圆周上最大应力和最小应力的差值减小70.8%，弯曲管材断面圆周上的应力分布更均匀。
英文摘要：The principle of pipe rotary-draw bending with vibration of low frequency was introduced, the strain history of pipe materials was analyzed, the explicit expression of dynamic stress of pipe section circumference was deduced by MATLAB symbolic operation based on the 1-D visco-elasticity plasticity constitutive equation. On the basis of special vibration parameters and material mechanical property parameters, the both dynamic stress-time curves and stress distribution curves of pipe section circumference of pipe rotary-draw bending with vibration of low-frequency were got and discussed. The results show that, the stress of pipe materials rotary-draw bending with vibration of low frequency is reduced by 14.8% at least than pipe rotary-draw bending without vibration; the difference in value of the biggest stress and minimal stress of pipe section circumference rotary-draw bending with vibration of low frequency is reduced by 70.8% than the that without vibration, the stresses distributed more evenly in the pipe section circumference．