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高速滾珠軸承動(dòng)態(tài)特性求解的溝道控制理論修
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of Raceway Control Theory on the Dynamic Equations Group of High-speed Ball Bearing
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    摘要:

    從滾珠軸承高速運(yùn)轉(zhuǎn)時(shí)滾動(dòng)體(鋼球)與內(nèi)、外溝道接觸存在旋滾比出發(fā),分析了高速滾珠軸承動(dòng)態(tài)方程組溝道控制理論的不足。在根據(jù)滾動(dòng)體所受內(nèi)外圈摩擦力與陀螺力矩相平衡的關(guān)系得出的內(nèi)外溝道控制參數(shù)表達(dá)式中,引入滾動(dòng)體與溝道之間摩擦因數(shù)的半經(jīng)驗(yàn)公式。為避免溝道控制理論的不足,滾動(dòng)體姿態(tài)角的計(jì)算采用了按照達(dá)朗伯原理推導(dǎo)的計(jì)算公式,取代了由溝道控制理論得出的姿態(tài)角。使得摩擦因數(shù)和姿態(tài)角的計(jì)算同時(shí)耦合了滾動(dòng)體法向載荷的影響而最終成為與方程組同時(shí)迭代的變量,并給出了迭代算法,實(shí)現(xiàn)了兩者的精確表達(dá)和精確計(jì)算。最后通過算例比較了兩種方法的區(qū)別,說明了本文方法的計(jì)算結(jié)果更加精確,適合于現(xiàn)代軸承分析與設(shè)計(jì)的精確化要求。

    Abstract:

    Based on the analysis of ratio of revolution and rolling on high-speed ball bearing, the shortage of raceway control theory was put forward. Then a precise relationship between inner and outer raceway control parameter was established according to the equilibration of frictional force and gyro moment on rolling ball. The semi-empirical formula about friction factor between rolling element and raceway was introduced into the calculation process. To avoid the shortage of raceway control theory, the attitude angle of rolling ball decided by raceway control theory is substituted by the one obtained from the analysis of D’ Alembert principle. So the friction factor and attitude angle of rolling ball are depended on normal load of rolling ball, and then an accurate form was provided and make sure it could be solved with dynamic equations group of high-speed ball bearing. At last, an example was given to compare the results from body matter with the ones from existing method, and indicates that the method of body is accurate and more closing to the practice.

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趙春江,王建梅,黃慶學(xué),馬立峰.高速滾珠軸承動(dòng)態(tài)特性求解的溝道控制理論修[J].農(nóng)業(yè)機(jī)械學(xué)報(bào),2009,40(5):199-202. of Raceway Control Theory on the Dynamic Equations Group of High-speed Ball Bearing[J]. Transactions of the Chinese Society for Agricultural Machinery,2009,40(5):199-202.

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