齒輪的三維參數(shù)化建模及齒輪接觸有限元分析
發(fā)布時間:2018-05-12 12:00
本文選題:Solidworks + 齒輪 ; 參考:《東北大學》2011年碩士論文
【摘要】:齒輪機構(gòu)是各種機構(gòu)中應用最為廣泛的一種傳動機構(gòu),齒輪設(shè)計與制造技術(shù)在一定程度上標志著一個國家的工業(yè)技術(shù)水平,因此開拓和發(fā)展齒輪技術(shù)具有重要的意義,但從零件的失效形式看,齒輪失效占總故障的60%以上,為了保證齒輪的承載能力及運轉(zhuǎn)的可靠性,延長齒輪的使用壽命,要綜合考慮影響齒輪強度的各個因素,并將其融入到齒輪的設(shè)計中去。 本論文首先以三維軟件Solidworks為平臺,對變位直齒圓柱齒輪、變位斜齒圓柱齒輪、錐齒輪、內(nèi)齒輪、齒條進行了參數(shù)化開發(fā),詳細地介紹了斜齒輪的參數(shù)化建模過程,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,將所建成的三維模型導入有限元分析軟件中進行接觸分析,分析其接觸應力及變形。其次介紹了有限元接觸理論,并將兩圓柱體接觸分析的結(jié)果與經(jīng)典的赫茲理論的計算結(jié)果進行比較,以此來驗證赫茲單元的有效性。最后,通過在有限元接觸分析中設(shè)置不同的滑動摩擦系數(shù),以此得出摩擦力對齒輪接觸應力及嚙合力的影響,并將其與理論推倒得出的輪齒接觸應力進行對比,驗證分析結(jié)果的準確性。將7個摩擦系數(shù)下的接觸分析的結(jié)果進行比較可知:嚙合力隨摩擦系數(shù)的增大而減小,摩擦系數(shù)為0時嚙合力最大,隨著摩擦系數(shù)的增大,輪齒所傳遞的力將會逐漸降低,嚙合力越大,摩擦系數(shù)的影響就越明顯;就整個齒輪而言,輪齒的最大接觸應力隨摩擦系數(shù)的增大而增加。通過仿真結(jié)果及理論分析,在有限元分析中,應該選用較大的摩擦系數(shù),以保證齒輪強度的可靠性。
[Abstract]:Gear mechanism is the most widely used transmission mechanism in various mechanisms. Gear design and manufacturing technology to a certain extent marks the level of a country's industrial technology, so the development and development of gear technology is of great significance. But from the failure form of parts, gear failure accounts for more than 60% of the total failure. In order to ensure the bearing capacity and running reliability of gear and prolong the service life of gear, the factors affecting gear strength should be considered synthetically. And into the gear design. In this paper, the parameterized development of modified spur gear, modified helical cylindrical gear, bevel gear, inner gear and rack is carried out on the platform of 3D software Solidworks, and the parameterized modeling process of helical gear is introduced in detail. According to the meshing principle of involute gear, the involute equation, tooth root transition curve equation and helix equation are obtained. The 3D model is introduced into the finite element analysis software for contact analysis, and the contact stress and deformation are analyzed. Secondly, the finite element contact theory is introduced, and the results of the contact analysis of two cylinders are compared with the results of the classical Hertz theory to verify the effectiveness of the Hertz element. Finally, by setting different sliding friction coefficients in finite element contact analysis, the influence of friction on the contact stress and meshing force of gear is obtained, and the contact stress of gear tooth is compared with that obtained by theory. Verify the accuracy of the analysis results. The results of contact analysis under seven friction coefficients are compared: the meshing force decreases with the increase of friction coefficient, and the meshing force decreases gradually with the increase of friction coefficient, when the friction coefficient is 0, the meshing force decreases gradually with the increase of friction coefficient. For the whole gear, the maximum contact stress of the gear increases with the increase of the friction coefficient. Through the simulation results and theoretical analysis, in the finite element analysis, a large friction coefficient should be selected to ensure the reliability of gear strength.
【學位授予單位】:東北大學
【學位級別】:碩士
【學位授予年份】:2011
【分類號】:TH132.41
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