摘要
为了提高计算圆柱体镦粗单位镦粗力上限解的精度,提出了一种基于复杂接触摩擦圆柱体镦粗的上限解法.根据翁克索夫等人提出的镦粗时接触面上摩擦切应力按照库仑摩擦定律、最大摩擦定律及线性分布摩擦定律的组合分布,利用上限法求得了圆柱体镦粗时单位镦粗力上限解,该解和主应力法解析解完全相同,比通常假设接触面上摩擦切应力为某一常数或按库仑摩擦定律分布的上限解要精确得多,同时还指出了圆柱体镦粗时按库仑摩擦定律求单位镦粗力上限解的适用条件.
In order to improve the accuracy of the upper-bound solutions of the unit upsetting force of the cylinder upsetting, a new method for solving the upper-bound solutions of the cylinder upsetting based on the complicated contact friction was proposed. Based on the combination distributions for frictional shear stresses according to Coulomb friction law, the maximum friction law and the linear distribution friction law on the dieworkpiece interface during upsetting proposed by E. P. Unksov et al, the upper-bound solutions of the unit upsetting force for the cylinder upsetting were derived. The solutions are identically equal to the analytical solutions in the slab method. They are more accurate than the upper-bound solutions obtained by using the conventional upper-bound method, in which the constant friction or Coulomb friction law on the interfaces is assumed. Simultaneously, the suitable condition for solving the upper-bound solutions of the unit upsetting force for the cylinder upsetting according to Coulomb friction law was also proposed.
出处
《湖南大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2008年第1期45-49,共5页
Journal of Hunan University:Natural Sciences
基金
国家杰出青年科学基金(50625519)
长江学者和创新团队发展计划资助项目
关键词
圆柱体
镦粗
复杂接触摩擦
运动许可速度场
上限解
cylinder
upsetting
the complicated contact friction
kinetically admissible velocity field
upper-bound solution
