短筒谐波减速器裂纹特征的强自适应性多小波定量识别

There is an increasing demand of harmonic gear reducer with short flexspline in the applications of aerospace, robot, machining center, radar equipment and so on. Crack fault of key components inevitably effects the safe and reliable operation of equipment. However, due to elastic deformation of flexspline, crack feature is weak, which increases the difficulty of quantitative identification. Moreover, compound crack feature make this task challenging. This project aims to meet the requirement on high reliability for harmonic gear reducer with short flexspline. First, built model based on rigid-flexible coupling dynamics to study dynamic response mechanism and provide the basis for crack quantitative identification. Next, propose generalized two-scale similarity transform and improved lifting scheme in time domain and frequency domain to construct the strong adaptivity multiwavelet basis function of crack feature. Then, propose the optimal decomposition scheme of multiwavelet transform and establish a dimensionless measure criterion for crack quantitative identification of harmonic gear reducer with short flexspline. Finally, these proposed methods will be tested and verified through experimental research and engineering applications. This research project, concentrating on both theoretical significance and engineering applicability, will form a theory and technical support for crack quantitative identification of harmonic gear reducer with short flexspline.

短筒谐波减速器在航空航天、机器人、加工中心等领域的需求日益增长，其关键元件短筒柔轮等的疲劳裂纹发生往往影响装备的安全可靠运行。然而，由于柔性体弹性变形导致裂纹特征的微弱性以及多重复合裂纹特征的存在大大增加了裂纹定量识别的难度。本项目从短筒谐波减速器的高可靠性发展需求出发，提出短筒谐波减速器的刚柔耦合建模方法，分析其动力学特性与失效机理，为短筒谐波减速器裂纹定量识别提供依据；提出基于广义两尺度相似变换理论和改进多小波时频域提升框架的自适应多小波构造方法，实现裂纹特征强自适应性多小波基函数的构造；提出强自适应性多小波的最优分解策略，建立无量纲测度指标与裂纹大小等级判断标准，实现短筒谐波减速器裂纹特征定量识别。通过试验研究和工程应用对裂纹定量识别方法进行检验和修正。研究成果将为短筒谐波减速器的裂纹特征定量识别提供理论和技术支持，具有重要的学术研究意义和工程应用价值。

短筒谐波减速器在航空航天、机器人、加工中心等领域的需求日益增长，其关键元件短筒柔轮等的疲劳裂纹发生往往影响装备的安全可靠运行。然而，由于柔性体弹性变形导致裂纹特征的微弱性以及多重复合裂纹特征的存在大大增加了裂纹定量识别的难度。本项目从短筒谐波减速器的高可靠性发展需求出发，提出短筒谐波减速器的刚柔耦合建模方法，分析其动力学特性与失效机理，为短筒谐波减速器裂纹定量识别提供依据；提出基于广义两尺度相似变换理论和改进多小波时频域提升框架的自适应多小波构造方法，实现裂纹特征强自适应性多小波基函数的构造；提出强自适应性多小波的最优分解策略，建立无量纲测度指标与裂纹大小等级判断标准，实现短筒谐波减速器裂纹特征定量识别。通过试验研究和工程应用对裂纹定量识别方法进行检验和修正。研究成果将为短筒谐波减速器的裂纹特征定量识别提供理论和技术支持，具有重要的学术研究意义和工程应用价值。