考虑静摩擦的两圆柱体分形接触强度模型研究

发布时间：2018-04-02 22:00

本文选题：接触强度　切入点：静摩擦力　出处：《合肥工业大学学报(自然科学版)》2016年05期

【摘要】：为了研究两圆柱体结合面之间静摩擦力对接触强度的影响,文章通过引入静摩擦影响系数,在分形理论的M-B接触模型、静摩擦因数预测模型和Gelinck数学模型基础上,修正结合面之间真实接触面积计算方法,并推导考虑静摩擦影响的两圆柱体结合面分形接触强度模型。通过Matlab仿真分析发现:静摩擦因数对接触强度的影响呈现复杂的非线性关系,无法通过单一的调节润滑黏度、接触速率等因素改变接触强度;与传统接触强度模型相比,该文所用模型计算的接触强度有所降低,且随着分形维数的减小接触强度呈现非线性增大。研究结果为进一步探讨摩擦对齿轮等实际产品的接触强度影响提供了一定的理论基础。
[Abstract]:In order to study the influence of static friction on contact strength between two cylinders, this paper introduces the influence coefficient of static friction, based on the M-B contact model of fractal theory, the prediction model of static friction coefficient and the Gelinck mathematical model.The calculation method of real contact area between bonding surfaces is modified and the fractal contact strength model of two cylindrical joints considering the influence of static friction is derived.Through Matlab simulation analysis, it is found that the static friction coefficient has a complex nonlinear relationship on contact strength, and the contact strength can not be changed by single adjustment of lubricating viscosity and contact rate, which is compared with the traditional contact strength model.The contact strength calculated by the model in this paper is reduced, and the contact strength increases nonlinear with the decrease of fractal dimension.The results provide a theoretical basis for further exploring the influence of friction on the contact strength of gears and other products.
【作者单位】：合肥工业大学机械与汽车工程学院;
【基金】：国家自然科学基金资助项目(51305116)
【分类号】：O313.5

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