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基于区间随机阶矩的不确定量化方法
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作者 邱继伟 罗海胜 +1 位作者 赵冠捷 张亚 《计算机集成制造系统》 EI CSCD 北大核心 2024年第2期581-592,共12页
针对缺乏足够信息构建精确概率模型的齿轮—转子机构系统固有特性量化分析问题,提出基于区间随机阶矩技术的不确定性量化方法。引入瑞利商公式,推导了含随机区间混合变量的齿轮—转子系统固有频率的近似解;将区间变量表示为随机变量分... 针对缺乏足够信息构建精确概率模型的齿轮—转子机构系统固有特性量化分析问题,提出基于区间随机阶矩技术的不确定性量化方法。引入瑞利商公式,推导了含随机区间混合变量的齿轮—转子系统固有频率的近似解;将区间变量表示为随机变量分布参数的形式,以随机变量进行不确定性建模,并结合多维区间随机函数泰勒展开技术和随机变量函数阶矩法,推导了齿轮—转子系统固有频率的均值和方差的表达式;根据四则运算和区间预算法获得均值和方差的上下界,并通过上下界波动量与函数曲线的凹凸性分析随机和区间变量对系统固有频率的影响规律。最后应用齿轮—转子机构系统数值案例验证了所提方法的正确性和有效性。 展开更多
关键词 区间随机阶矩法 不确定性量化 近似解 固有频率 齿轮—转子系统
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A distributed dynamic mesh model of a helical gear pair with tooth profile errors 被引量:8
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作者 WANG Qi-bin MA Hong-bo +1 位作者 KONG Xian-guang ZHANG Yi-min 《Journal of Central South University》 SCIE EI CAS CSCD 2018年第2期287-303,共17页
A dynamic model of a helical gear rotor system is proposed.Firstly,a generally distributed dynamic model of a helical gear pair with tooth profile errors is developed.The gear mesh is represented by a pair of cylinder... A dynamic model of a helical gear rotor system is proposed.Firstly,a generally distributed dynamic model of a helical gear pair with tooth profile errors is developed.The gear mesh is represented by a pair of cylinders connected by a series of springs and the stiffness of each spring is equal to the effective mesh stiffness.Combining the gear dynamic model with the rotor-bearing system model,the gear-rotor-bearing dynamic model is developed.Then three cases are presented to analyze the dynamic responses of gear systems.The results reveal that the gear dynamic model is effective and advanced for general gear systems,narrow-faced gear,wide-faced gear and gear with tooth profile errors.Finally,the responses of an example helical gear system are also studied to demonstrate the influence of the lead crown reliefs and misalignments.The results show that both of the lead crown relief and misalignment soften the gear mesh stiffness and the responses of the gear system increase with the increasing lead crown reliefs and misalignments. 展开更多
关键词 gear distributed dynamic model tooth profile errors helical gear pair rotor system dynamic response
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