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出 处:《实验力学》2008年第2期125-132,共8页Journal of Experimental Mechanics
摘 要:采用光弹性三维剪应力差法对接触应力进行了研究。根据相似原理将模型在载荷作用下进行应力冻结;通过模型切片及分析对渐开线齿轮接触应力进行测量,并采用赫兹接触理论和有限元方法分析渐开线齿轮的接触应力。试验结果表明,接触正应力小于Hertz接触理论解及有限元计算结果。因接触点的应力梯度很大,剪应力差法受网格密度的制约,均化了接触点的实际应力梯度。但是,其误差仍在合理范围内,完全可以满足工程需要。试验测量值与赫兹接触应力理论值及有限元结果的比较表明,该方法是合理可行的。Three-dimensional shear-difference method of photoelasticity was adopted to analyze contact stress. Stress freezing under a uniform load on the model was performed based on similarity principle. Through slicing and analyzing the model, contact stresses of involutes gear were measured and analyzed by using Hertz contact theory and finite element method. Results show that the normal contact stress value is less than that of Hertz contact theory and finite element method. By reason that stress gradients is high on the contact point, and the three dimensional shear-difference method is restricted by grid density, so actual stress gradients are detracted from contact point. But the error is in an acceptable range. This method completely meets engineering needs. The results of contact stresses experimentation are compared with that of hertz contact stress theory and finite element method and indicate that this method is reasonable and feasible.
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