含间隙机械系统的动力学特性及参数合理匹配规律研究

The correlative relationship and matching law between dynamic performance and system parameters of the mechanical systems with clearances are particularly studied from the system level by multi-parameter and multi-performance co-simulation analysis so that reasonable matching range of dynamic parameters is ascertained, which provides the theoretical basis and feasibility for the parameter optimization and dynamic comprehensive design. Transition mechanism of adjacent impact motions with fundamental period is studied by using codimension-two grazing bifurcation and the existence conditions of singular points on the boundary between adjacent regions of impact motions with fundamental period are determined. The occurrence mechanism, distributing characteristies and bifurcations of atypical series of periodic attractors in the neighborhood of singular points are analyzed. The correlative relationship between dynamic performance and system parameters of the gear transmission mechanism is investigated for ascertaining the matching law of external load, excitation frequency, meshing stiffness, damping ratio and other dynamical parameters. Rattling characteristics of the gear transmission mechanism under the external load with fluctuation and its influence on the output end and other links are analyzed for revealing various types of periodic-impact motions and associated characteristics in parameter regions of alternating of engaging and disengaging repeatedly, and possible abnormal vibration will be particularly studied. The influence of backlash in gear pair on the impact vibration of compound planetary gear transmission is analyzed by cooperative simulation analysis associated with multi-parameter and multi-performance. As a result, the occurrence, characters and propagation mechanism of complex impact vibration caused by variation of tooth backlash in gear pairs will be revealed.

项目拟通过多参数多性能协同仿真分析从系统层面研究含间隙机械系统的动力学特性及其与结构参数的关联关系和匹配规律，确定动力学参数的合理匹配范围，为系统的参数优化及动态综合设计提供理论依据和支撑。基于非光滑映射的余维二Grazing分岔研究揭示含间隙机械系统相邻基本周期冲击振动的转迁机理，研究相邻基本周期冲击振动的参数域边界奇异点的存在条件及其邻域内非典型系列周期吸引子的形成机理、分布规律及分岔特征等。研究齿轮传动系统的动态特性与动力学参数的关联关系，揭示外载荷、激励频率与啮合刚度、阻尼比等动力学参数的匹配规律。研究外载荷波动激励下齿轮传动系统的Rattling振动特性及其对输出端等环节的影响，揭示非完全脱啮参数域内周期-冲击振动的类型、特性和分岔及可能涌现的异常振动现象和特性。研究齿侧间隙对复合行星齿轮传动系统振动冲击特性的影响，揭示齿侧间隙变化引起的复杂冲击振动的产生、特性与传播机理。

通过多参数多性能协同仿真分析从系统层面研究含间隙机械系统的动力学特性及其与结构参数的关联关系和匹配规律，确定动力学参数的合理匹配范围，为系统的参数优化及动态综合设计提供了理论依据和支撑。基于两自由度含间隙振动系统的动力学模型，分别考虑单侧约束、对称和非对称双侧约束型间隙特征，研究了带有不同类型间隙的振动系统的基本周期冲击振动群和亚谐冲击振动的模式类型、多样性、参数平面内的分布规律及分岔边界特征。通过余维二Grazing分岔揭示了相邻基本周期冲击振动相互转迁的不可逆性及其伴随的奇异点和两类转迁区域(迟滞域和舌形域)；研究了奇异点、迟滞域和舌形域的形成机理和分布特征，发现了舌形域内亚谐冲击运动的模式类型及规律特征，分析了基本周期冲击振动群向非完整和完整颤冲击振动的转迁过程。研究由三轴两齿轮副组成的二级直齿圆柱齿轮传动系统的动态特性与动力学参数的关联关系，揭示外载荷、激励频率与啮合刚度、阻尼比等动力学参数的匹配规律。研究外载荷波动激励下齿轮传动系统的Rattling振动特性及其对输出端等环节的影响，揭示非完全脱啮参数域内周期-冲击振动的类型、特性和分岔及可能涌现的异常振动现象和特性。研究齿侧间隙对复合行星齿轮传动系统振动冲击特性的影响，揭示齿侧间隙变化引起的复杂冲击振动的产生、特性与传播机理。

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