【摘要】 在齿轮动力学中，时变啮合刚度通常被考虑为主要的内部激励源，因此在计算和分析电驱动系统斜齿轮振动噪声时，准确和快速计算啮合刚度具有重要意义。同时，考虑到齿轮在实际使用中，由于磨损产生的剥落缺陷会影响齿面接触状态并引起啮合刚度波动，因此有必要建立一种齿面含缺陷状况下的通用时变啮合激励解析计算模型。本文采用一种齿面接触投影分析，通过模拟齿轮实际三维转角以及接触的对应关系，来获取斜齿轮齿面接触线；在此基础上，利用势能叠加原理，提出计算斜齿轮副啮合刚度的方法，同时考虑了齿轮基体和过渡曲线的影响。在不规则剥落缺陷啮合刚度计算建模中，通过分区方法修正缺陷引起的变截面悬臂梁的转动惯量和横截面积的变化，能有效地描述不规则缺陷对时变啮合刚度的影响。最后，通过有限元方法建立含缺陷齿轮对接触模型，验证了解析计算的准确性。更多还原

【Abstract】 In gear dynamics, time-varying mesh stiffness represents a primary internal excitation source, as recognized by numerous scholars. The accurate calculation of mesh stiffness holds significant importance for analyzing vibration in helical gear systems. During operational conditions, spalling defects emerge due to wear, affecting the tooth surface contact state and causing mesh stiffness fluctuations. Therefore, establishing an analytical model for calculating time-varying mesh excitation under defective tooth surface conditions becomes essential. This paper employs tooth surface contact projection analysis to obtain helical gear tooth surface contact lines by simulating actual threedimensional rotation angles and contact relationships. Based on this analysis, the principle of potential energy superposition is utilized to propose a method for calculating helical gear pair mesh stiffness, incorporating the effects of gear base and transition curves. In modeling mesh stiffness with irregular spalling defects, regional methods correct changes in moment of inertia and crosssectional area of variable-section cantilever beams caused by defects, effectively describing the impact of irregular defects on time-varying mesh stiffness. Finally, a finite element method validates the analytical calculations through a contact model of gear pairs with defects.更多还原