基于折截面法的齿条齿根应力计算方法探究

Research on methods of calculating stress of rack root based on folding section method

为了更准确求解齿条齿根过渡曲线及齿条的弯曲应力,构建了齿根任意一点局部应力折截面法计算数学模型。建模时考虑到齿根应力集中,并通过有限元仿真计算,分析了载荷、加载位置、模数及齿根圆角半径对折截面角的影响,确定了不同齿根圆角半径下的最佳折截面角值,解决了折截面角无法计算的问题。以三峡升船机齿条为例,将折截面法齿根应力计算结果与有限元分析结果对比分析,验证了折截面法在齿条应力计算方面的可行性。

In order to obtain more accurate transitional curve at root and the bending stress of the rack, the paper built the mathematical model of local stress at any point of the rack root based on the folding section method. On building the model, the stress concentration at root was taken into account, and then finite element simulation and analysis were conducted. In addition, the influences of loads, loading position, modulus and radius of root fillet on the angle of folding section were analyzed, and the optimal angle of folding section at various radius of root fillet was determined, thus the failure of calculating the angle of folding section was avoided. Taking the rack of the ship lift in Three Gorges Dam as the example, after the contrast between the calculation results of root stress by using the folding section method with finite element analysis results, the folding section method proved feasible in calculation of the rack stress.