齿轮的三维参数化建模及齿轮接触有限元分析

发布时间：2018-05-12 12:00

本文选题：Solidworks + 齿轮　；参考：《东北大学》2011年硕士论文

【摘要】：齿轮机构是各种机构中应用最为广泛的一种传动机构,齿轮设计与制造技术在一定程度上标志着一个国家的工业技术水平,因此开拓和发展齿轮技术具有重要的意义,但从零件的失效形式看,齿轮失效占总故障的60%以上,为了保证齿轮的承载能力及运转的可靠性,延长齿轮的使用寿命,要综合考虑影响齿轮强度的各个因素,并将其融入到齿轮的设计中去。本论文首先以三维软件Solidworks为平台,对变位直齿圆柱齿轮、变位斜齿圆柱齿轮、锥齿轮、内齿轮、齿条进行了参数化开发,详细地介绍了斜齿轮的参数化建模过程,根据渐开线齿轮啮合原理得到渐开线方程、齿根过渡曲线方程及螺旋线方程,将所建成的三维模型导入有限元分析软件中进行接触分析,分析其接触应力及变形。其次介绍了有限元接触理论,并将两圆柱体接触分析的结果与经典的赫兹理论的计算结果进行比较,以此来验证赫兹单元的有效性。最后,通过在有限元接触分析中设置不同的滑动摩擦系数,以此得出摩擦力对齿轮接触应力及啮合力的影响,并将其与理论推倒得出的轮齿接触应力进行对比,验证分析结果的准确性。将7个摩擦系数下的接触分析的结果进行比较可知：啮合力随摩擦系数的增大而减小,摩擦系数为0时啮合力最大,随着摩擦系数的增大,轮齿所传递的力将会逐渐降低,啮合力越大,摩擦系数的影响就越明显；就整个齿轮而言,轮齿的最大接触应力随摩擦系数的增大而增加。通过仿真结果及理论分析,在有限元分析中,应该选用较大的摩擦系数,以保证齿轮强度的可靠性。
[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.
【学位授予单位】：东北大学
【学位级别】：硕士
【学位授予年份】：2011
【分类号】：TH132.41

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