中文摘要：

为实现行星滚柱丝杠副（PRSM）的螺纹牙均载设计,使作用载荷尽可能在滚柱螺纹牙间均匀分布,从PRSM结构参数设计与螺纹精度设计2个层面展开研究。根据螺纹牙设计的弯曲与剪切强度条件与接触屈服条件,得到螺纹牙额定载荷与极限载荷计算方法以及PRSM参数设计准则。在参数设计层面,按照PRSM参数设计的一般流程,采用单因素方法研究了主要设计参数对载荷分布的影响规律,揭示了设计参数对载荷分布影响的基本规律,用于指导均载设计中参数优化。结果表明,各参数优化设计的关键是使丝杠、滚柱与螺母三者的轴段刚度有利于载荷均匀分布。在螺纹精度设计层面,研究了服从不同正态分布的随机螺距误差对载荷分布的影响,基于其影响规律,提出螺纹精度设计与公差带位置控制方法,实现PRSM螺纹牙均载设计。

英文摘要：

In order to achieve thread load balance design of planetary roller screw mechanism（ PRSM）,i. e. to make the applied load uniformly distributed among the threads of roller,two sections which include structural parameters design and thread tolerance design are studied in this paper. Firstly,two criteria are presented to guide the parameters design of thread form,which include intensity criterion and yield criterion of contact,and base on which,the rated load and limit load of thread and the criteria of parameter design are developed. Secondly,the effects of parameters of PRSM on load distribution are investigated by univariate analysis,and the nature of effect of parameters on load distribution are obtained. Results show that the nature of parameters optimal design is to search for a combination of shaft section stiffness of screw,roller and nut which can help to reach a uniform load distribution. Lastly,the effects of pitch deviations that obey normal distribution on load distribution are investigated,and approach of tolerance design are presented,which is identified to be effective to reach a uniform distribution of applied load among threads of roller.