无侧隙端面啮合蜗杆副瞬态动力学分析

为了获得无侧隙端面啮合蜗杆副的动力学特性，分析不同结构类型的蜗杆之间承载能力、变形间的关系。利用有限元法，建立蜗杆端面啮合杆副的动力学分析模型，对啮合瞬间进行瞬态动力学分析。首先，根据建立的端面蜗杆的动力学模型，进行瞬态动力学分析，分别得到端面啮合蜗杆副的接触应力、等效应力和总变形。其次，对无侧隙端面啮合蜗杆副的动力学特性进行理论分析与比较，分别比较分析无侧隙端面啮合蜗杆副与无侧隙环面蜗杆副、无侧隙端面啮合蜗杆副与双滚子端面啮合蜗杆副的瞬态动力学性能及变形的情况。结果表明：有限元分析中端面啮合蜗杆副的应力、应变云图表明，啮合瞬间，蜗轮蜗杆至少同时啮合8对齿，可以清晰地看到最大应力在齿顶；同等条件下，端面啮合蜗杆副的接触应力较无侧隙双滚子包络环面蜗杆减小超过33%；端面啮合蜗杆副的最大等效应力仅为无侧隙双滚子包络环面蜗杆的22%；端面啮合蜗杆副较双滚子端面啮合蜗杆副具有较强的抗变形能力，当t≥0.056 5 s双滚子端面啮合蜗杆副随时间变形影响显著。几种新型蜗杆副的分析和比较可以反映其动/静力学特性，从而为该新型蜗杆在减速器等领域中的应用提供理论依据和工程应用价值。

Transient Dynamics Analysis for the End Face Engagement Worm Gear

In order to obtain the dynamic characteristics of the end face engagement worm gear,the relationship of carrying capacity and deformation between different structure types of worm was analyzed,and the scientific analysis and demonstration were made.The Dynamic analysis model of worm was set up by using the finite element method,and transient dynamic analysis of meshing moment was analyzed.At first,by transient dynamics analysis which based on the dynamic model,the contact stress,equivalent effective stress and Total deformation of the end face engagement worm gear were obtained,respectively.Secondly,the dynamic characteristics of the end face engagement worm gear were analyzed theoretically and compared.The transient dynamic performance and deformation were analyzed and compared,respectively between the end face engagement worm gear and anti-backlash double-roller enveloping hourglass worm gearing,and between the end face engagement worm gear and double roller end face meshing worm pair.The results showed that the worm gear are at least simultaneously engaged with eight pairs of teeth,and the yellow part can clearly see the maximum stress at the tooth top.Under the same condition,the contact stress of the end face of the engaging worm gear is reduced more than 33%,compared with the backlash double roller enveloping hourglass worm.The maximum equivalent stress of the end face engagement worm gear is only 22% of backlash double roller worm,equivalent stress of the end face of the worm have a clear relationship with selecting the location of spiral position.Compared with the double roller end face meshing worm pair,the end face meshing worm pair has strong anti-deformation ability. Transient analysis result of double roller end worm showed that when t=0.056 5 s the deformation of the worm is significant over time.This method provides a theoretical basis and engineering applications for the new worm reducer,and other applications in the field.