首页|基于最小势能原理的双渐开线齿轮载荷分布研究

基于最小势能原理的双渐开线齿轮载荷分布研究

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双渐开线齿轮接触线上的载荷非均匀分布,使得载荷计算困难.采用现有的方法或过于简化导致精度不足,或过于复杂使得计算量大、耗时长,并不适用于双渐开线齿轮载荷分布研究.为此,将双渐开线齿轮接触线等分为若干段,建立了双渐开线齿轮载荷分布模型,综合有限元法对轮齿载荷分布进行了研究.首先,根据双渐开线齿轮的啮合特点,求解了时变接触线,将每一啮合时刻下的齿轮接触线"分段";然后,基于最小势能原理,建立了双渐开线齿轮的载荷分布模型,综合有限元法对齿轮轮齿载荷分布进行了研究;最后,对双渐开线齿轮与普通渐开线齿轮的载荷分布进行了对比分析,并研究了输入扭矩、齿宽对双渐开线齿轮轮齿载荷分布的影响.研究结果表明:载荷分布模型与有限元仿真结果之间的误差在10%之内,载荷分布模型合理可靠;双渐开线齿轮沿接触线方向载荷分布不均匀,节线附近载荷值最大;同参数、同工况下的双渐开线齿轮载荷波动幅度小于普通渐开线齿轮;输入扭矩增加,双渐开线齿轮节线附近载荷分布发生突变;齿宽增加,双渐开线齿轮沿接触线载荷分布不均匀程度增加.
Load distribution of double involute gears based on principle of minimum potential energy
The load on the contact line of double involute gear is unevenly distributed,which makes the load calculation difficult.The existing methods are either too simplistic,which leads to insufficient accuracy,or too complicated,which leads to a large amount of calculation and longtime consumption,and are not suitable for the study of load distribution of double involute gears.Therefore,the contact line of double involute gear was divided into several sections,the load distribution model of double involute gear was established,and the load distribution of gear teeth was studied by comprehensive finite element method.Firstly,the time-varying contact line of double involute gear was solved according to its meshing characteristics,and the contact line of each meshing moment was"segmented".Then,based on the principle of minimum potential energy,a load distribution model of double involute gear was established,and the load distribution of gear teeth was studied comprehensively by using finite element method.Finally,a comparative analysis was carried out on the load distribution of double involute gear and ordinary involute gear,and the influence of input torque and tooth width on the load distribution of double involute gear teeth was studied.The research results indicate that the error between the load distribution model and the finite element simulation results is within10%,which suggests that the load distribution model is reasonable and reliable.The load distribution of double involute gear is found to be uneven along the contact line,with the maximum load value near the involute.Under the same parameters and working conditions,the load fluctuation amplitude of double involute gear is smaller than that of ordinary involute gear.When the input torque increases,the load distribution near the involute of double involute gear undergoes a sudden change.With the increase of tooth width,the unevenness of the load distribution of double involute gear along the contact line increases.

involute gearload distribution of gear tooth contact linetime-varying contact linessubsectionprinciple of minimum potential energyload distribution modelinput torquetooth width

姜宇、樊智敏、姜春雷、孙旭睿、闵令竹

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青岛科技大学 机电工程学院,山东 青岛 266061

渐开线齿轮 齿轮轮齿接触线载荷分布 时变接触线 分段法 最小势能原理 载荷分布模型 输入扭矩 齿宽

国家自然科学基金资助项目

52075279

2024

机电工程
浙江大学 浙江省机电集团有限公司

机电工程

CSTPCD北大核心
影响因子:0.785
ISSN:1001-4551
年,卷(期):2024.41(4)
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