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斜齒輪建模及其受力分析

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  本文選題:有限元分析 + 接觸; 參考:《東北大學(xué)》2012年碩士論文


【摘要】:齒輪系統(tǒng)是機械系統(tǒng)的重要組成部分,其工作性能對整個系統(tǒng)有著至關(guān)重要的影響。隨著速度和功率的提高,齒輪傳動正朝著高速、重載方向發(fā)展。其動力學(xué)行為的研究便成為國內(nèi)外學(xué)者所關(guān)注的課題。 本文以一對斜齒輪傳動系統(tǒng)為研究對象,運用非線性接觸有限元法進行了靜態(tài)接觸分析。然后結(jié)合齒輪齒向修形理論,提出斜齒輪的齒向修形(鼓形修整)的方案,并通過仿真對修形的效果進行了驗證。最后應(yīng)用ADAMS對其進行了動力學(xué)分析。 首先,根據(jù)漸開線齒輪嚙合原理得到漸開線方程、齒根過渡曲線方程及螺旋線方程,以此為基礎(chǔ)在PRO/E中進行斜齒輪的三維建模。 其次,將齒輪傳動模型導(dǎo)入ANSYS中進行接觸有限元分析,通過與經(jīng)典赫茲接觸應(yīng)力結(jié)果的比較,驗證ANSYS中進行非線性接觸分析的有效性。 然后,應(yīng)用齒輪鼓形修整原理和方法,根據(jù)軸心的彎曲變形和齒輪的扭轉(zhuǎn)變形,得出齒輪鼓形修整所需的參數(shù),并在PRO/E中對齒輪進行修形;將修形后的齒輪傳動模型進行非線性接觸分析,并通過與未修形的分析結(jié)果進行對比,驗證修形方案的可行性。 最后,基于振動理論,建立齒輪傳動系統(tǒng)動力學(xué)模型的數(shù)學(xué)方程;研究了齒輪系統(tǒng)振動和噪聲的產(chǎn)生機理,將引起齒輪振動噪聲的內(nèi)部原因歸結(jié)為三種激勵,即剛度激勵、誤差激勵和嚙合沖擊激勵,并對它們進行數(shù)值模擬;將齒輪傳動模型導(dǎo)入ADAMS進行動力響應(yīng)分析。
[Abstract]:Gear system is an important part of mechanical system, its working performance has a vital impact on the whole system. With the increase of speed and power, gear transmission is developing towards high speed and heavy load. The study of its dynamic behavior has become a topic concerned by scholars at home and abroad. In this paper, the static contact analysis of a pair of helical gear transmission system is carried out by nonlinear contact finite element method. Based on the theory of gear tooth modification, the scheme of tooth modification (drum dressing) of helical gear is put forward, and the effect of modification is verified by simulation. At last, ADAMS is used to analyze its dynamics. Firstly, according to the meshing principle of involute gear, the involute equation, tooth root transition curve equation and helix equation are obtained. Based on this, the three-dimensional modeling of helical gear is carried out in PRO/E. Secondly, the gear transmission model is introduced into ANSYS for contact finite element analysis, and the effectiveness of nonlinear contact analysis in ANSYS is verified by comparing the results of contact stress with classical Hertz contact stress. Then, by applying the principle and method of gear drum dressing, according to the bending deformation of axis center and the torsional deformation of gear, the parameters needed for gear drum dressing are obtained, and the gear shape is modified in PRO/E. The nonlinear contact analysis of the modified gear transmission model is carried out, and the feasibility of the modification scheme is verified by comparing the results with the results of the unmodified gear transmission model. Finally, based on the vibration theory, the mathematical equations of the dynamic model of the gear transmission system are established, and the generating mechanism of the vibration and noise of the gear system is studied. The internal causes of the vibration and noise of the gear system are reduced to three kinds of excitation, that is, the stiffness excitation. Error excitation and meshing shock excitation are numerically simulated, and the gear transmission model is introduced into ADAMS for dynamic response analysis.
【學(xué)位授予單位】:東北大學(xué)
【學(xué)位級別】:碩士
【學(xué)位授予年份】:2012
【分類號】:TH132.41

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