考虑平移自由度的齿轮时变啮合刚度计算与分析

齿轮啮合过程中，其啮合刚度会受其相对位移的影响。基于势能法，针对理想渐开线直齿圆柱齿轮，通过考虑平移自由度对齿轮啮合中角度的影响，将平移自由度引入齿轮时变啮合刚度的计算中，提出一种考虑齿轮两个方向平移自由度的时变啮合刚度计算方法。分析齿轮时变啮合刚度最大值、平均值和重合度受齿轮相对位移方向、大小的影响。结果表明，时变啮合刚度对齿轮沿啮合线垂直方向的相对平移最为敏感，对齿轮沿啮合线方向的相对平移最不敏感；在啮合线垂直方向，齿轮在相对平移0.1 mm的情况下，引起啮合刚度平均值变动0.93%

JUNO Sensitivity on Proton Decay p→νˉK+p\to \bar\nu K^+ Searches

The Jiangmen Underground Neutrino Observatory (JUNO) is a large liquid scintillator detector designed to explore many topics in fundamental physics. In this paper, the potential on searching for proton decay in $p\to \bar\nu K^+$ mode with JUNO is investigated.The kaon and its decay particles feature a clear three-fold coincidence signature that results in a high efficiency for identification. Moreover, the excellent energy resolution of JUNO permits to suppress the sizable background caused by other delayed signals. Based on these advantages, the detection efficiency for the proton decay via $p\to \bar\nu K^+$ is 36.9% with a background level of 0.2 events after 10 years of data taking. The estimated sensitivity based on 200 kton-years exposure is $9.6 \times 10^{33}$ years, competitive with the current best limits on the proton lifetime in this channel

JUNO sensitivity on proton decay p → ν K + searches*

The Jiangmen Underground Neutrino Observatory (JUNO) is a large liquid scintillator detector designed to explore many topics in fundamental physics. In this study, the potential of searching for proton decay in the $p\to \bar{\nu} K^+$ mode with JUNO is investigated. The kaon and its decay particles feature a clear three-fold coincidence signature that results in a high efficiency for identification. Moreover, the excellent energy resolution of JUNO permits suppression of the sizable background caused by other delayed signals. Based on these advantages, the detection efficiency for the proton decay via $p\to \bar{\nu} K^+$ is 36.9% ± 4.9% with a background level of $0.2\pm 0.05({\rm syst})\pm$$0.2({\rm stat})$ events after 10 years of data collection. The estimated sensitivity based on 200 kton-years of exposure is $9.6 \times 10^{33}$ years, which is competitive with the current best limits on the proton lifetime in this channel and complements the use of different detection technologies