本文關(guān)鍵詞：考慮內(nèi)齒圈柔性的行星齒輪系統(tǒng)動(dòng)態(tài)特性研究　出處：《鄭州大學(xué)》2016年碩士論文　論文類型：學(xué)位論文

  更多相關(guān)文章： 阻尼 柔性內(nèi)齒圈 振動(dòng)模式 動(dòng)態(tài)特性 行星齒輪系統(tǒng)

【摘要】：由于行星齒輪系統(tǒng)的諸多優(yōu)點(diǎn),所以行星齒輪系統(tǒng)的應(yīng)用越來越廣泛。但是,行星齒輪系統(tǒng)一直受振動(dòng)和噪聲的困擾。在追求低噪聲和舒適性生活的今天,這個(gè)問題越來越引起人們的關(guān)注。因此,為了研究產(chǎn)生振動(dòng)和噪聲的機(jī)理和尋求解決方法,人們對(duì)行星齒輪系統(tǒng)動(dòng)態(tài)特性的研究孜孜不倦。由于現(xiàn)代機(jī)械追求輕量化和高速化,因此內(nèi)齒圈會(huì)減薄,相當(dāng)于薄壁結(jié)構(gòu),內(nèi)齒圈很容易發(fā)生較大的變形,尤其是在高速重載的情況下,這勢(shì)必會(huì)給行星齒輪系統(tǒng)的動(dòng)態(tài)特性造成較大的影響,如果再將內(nèi)齒圈看成剛性的,顯然不合適的。所以,本文研究了具有柔性內(nèi)齒圈行星齒輪系統(tǒng)的動(dòng)態(tài)特性,主要內(nèi)容如下:第一:建立了集中參數(shù)模型,在建立模型過程中,構(gòu)件與機(jī)架之間和齒輪嚙合之間的接觸均用彈簧阻尼系統(tǒng)代替,運(yùn)用牛頓第二定律列寫系統(tǒng)的動(dòng)力學(xué)方程,并整理成矩陣形式,利用復(fù)模態(tài)法進(jìn)行求解,根據(jù)方程的數(shù)值解分析阻尼對(duì)行星齒輪系統(tǒng)動(dòng)態(tài)特性的影響,可以發(fā)現(xiàn)行星齒輪系統(tǒng)中阻尼的影響很小,可以忽略不計(jì)。第二:建立了具有柔性內(nèi)齒圈的行星齒輪系統(tǒng)的剛?cè)狁詈夏Ｐ?將構(gòu)件間的作用簡(jiǎn)化為彈簧系統(tǒng),不再考慮阻尼的影響。利用彈性力學(xué)和理論力學(xué)的相關(guān)知識(shí)列寫柔性內(nèi)齒圈的動(dòng)力學(xué)方程并進(jìn)行處理,與其它剛性構(gòu)件的動(dòng)力學(xué)方程相結(jié)合,列寫行星齒輪系統(tǒng)的動(dòng)力學(xué)方程。第三:由于動(dòng)力學(xué)方程組中含有六階偏微分方程,不能直接求解,所以利用分離變量的方法和δ函數(shù)的性質(zhì)進(jìn)行降階處理,將其轉(zhuǎn)化為二階常微分方程,并將方程整理為矩陣形式,得到方程的剛度矩陣和質(zhì)量矩陣。第四:利用動(dòng)力學(xué)和線性代數(shù)知識(shí)將動(dòng)力學(xué)方程的固有頻率和振型的求解轉(zhuǎn)化為特征值和特性向量的求解,并利用MATLAB編程求解。用數(shù)值解分析了行星齒輪系統(tǒng)的動(dòng)態(tài)特性,與集中參數(shù)模型作相比,增加了一種新的振動(dòng)模式,即內(nèi)齒圈振動(dòng)模式,固有頻率下降且階數(shù)增多;而且內(nèi)齒圈柔性越大,系統(tǒng)的固有頻率越低;同時(shí)本文分析了質(zhì)量和剛度對(duì)行星齒輪系統(tǒng)固有頻率的影響。
[Abstract]:Because of the many advantages of the planetary gear system, the planetary gear system is more and more widely used. However, the planetary gear system has been troubled by vibration and noise. This problem has attracted more and more attention. Therefore, in order to study the mechanism of vibration and noise and seek solutions. The dynamic characteristics of planetary gear system have been studied assiduously. Because of the pursuit of lightweight and high-speed in modern machinery, the inner gear ring will be thinned, which is equivalent to thin-walled structure, and the inner gear ring is easy to be deformed. Especially in the case of high speed and heavy load, this will inevitably have a great impact on the dynamic characteristics of the planetary gear system. If the inner gear ring is regarded as rigid, it is obviously inappropriate. In this paper, the dynamic characteristics of planetary gear system with flexible inner gear ring are studied. The main contents are as follows: first, the lumped parameter model is established. The contact between the components and the rack and the gear meshing is replaced by the spring damping system. Newton's second law is used to write the dynamic equation of the system, and the matrix form is arranged, and the complex mode method is used to solve the problem. According to the numerical solution of the equation, the influence of damping on the dynamic characteristics of planetary gear system is analyzed. It can be found that the influence of damping in planetary gear system is very small. Second, the rigid-flexible coupling model of planetary gear system with flexible inner gear ring is established, which simplifies the interaction between components as spring system. The dynamic equations of the flexible inner gear ring are set up and processed by using the relative knowledge of elastic mechanics and theoretical mechanics, and combined with the dynamic equations of other rigid members. The dynamic equations of planetary gear system are listed. Third, because the dynamic equations contain the sixth order partial differential equation, they can not be solved directly, so the method of separating variables and the properties of 未 function are used to reduce the order. It is transformed into a second order ordinary differential equation, and the equation is arranged into a matrix form. The stiffness matrix and mass matrix of the equation are obtained. 4th: by using the knowledge of dynamics and linear algebra, the solution of the natural frequency and mode of the dynamic equation is transformed into the solution of the eigenvalue and characteristic vector. The dynamic characteristics of the planetary gear system are analyzed by using MATLAB programming. Compared with the lumped parameter model, a new vibration mode, the inner gear ring vibration mode, is added. The natural frequency decreases and the order increases; Moreover, the greater the flexibility of the inner gear ring, the lower the natural frequency of the system. At the same time, the influence of mass and stiffness on the natural frequency of planetary gear system is analyzed.
【學(xué)位授予單位】：鄭州大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2016
【分類號(hào)】：TH132.41

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