Predictive Modeling and Analysis of Thermal Failure in Plastic and Composite Gears Using VDI Method Approach

Y. N. Agbetossou, K. F. Wotodzo, D. Koffi, L. Nyametso, K. Kassegne, S. Tiem
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Abstract

A method for predicting surface thermal failure of gears made of plastic materials and their natural fiber composites is developed with the “Verein Deutscher Ingenieure (VDI)” “Association of German Engineers” method, and a simulation is made for these gears. The simulation is carried out for Duracon acetal gears and composite material of high density polyethylene (HDPE) with 40% birch wood fiber (HDPE40B) gears. The simulation is carried out with the same meshing characteristics that were used to carry out the tests on the gear test bench in real simulated operation to study the thermo-tribo-mechanical behavior of HDPE40B gears. From the predefined operating temperature, the torque-speed (C-ω) limiting curve is established using the computer program for predicting operating temperatures. Then the heat map is established using the same temperature calculation program by determining the equilibrium temperatures in the tooth and instantaneous temperatures on the profile according to the normalized positions S/pn. The induced surface contact stresses are then determined according to the normalized positions S/pn with the VDI method and are compared with the limit allowable stress. The results show that more severe operating conditions give comparatively lower induced stresses, but they are nevertheless the ones that will fail first at surface thermal failure compared to less severe operating conditions. In other words, the results show that the more severe the operating conditions, the shorter the operating cycles become before surface thermal failure occurs. The results also show that the surface thermal failure behaviors for plastics and composites gears are similar and the higher the melting temperature of the material, the butter it can stand surface thermal failure in more severe working conditions.
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使用 VDI 方法对塑料齿轮和复合齿轮的热失效进行预测建模和分析
采用 "Verein Deutscher Ingenieure (VDI)""德国工程师协会 "的方法开发了一种预测塑料材料及其天然纤维复合材料制成的齿轮表面热失效的方法,并对这些齿轮进行了模拟。模拟是针对 Duracon 乙缩醛齿轮和高密度聚乙烯 (HDPE) 与 40% 桦木纤维的复合材料 (HDPE40B) 齿轮进行的。模拟使用的啮合特性与在齿轮试验台上进行实际模拟操作测试时使用的啮合特性相同,以研究 HDPE40B 齿轮的热三力学行为。根据预定的工作温度,使用预测工作温度的计算机程序建立扭矩-速度 (C-ω) 极限曲线。然后使用相同的温度计算程序,根据归一化位置 S/pn 确定齿中的平衡温度和齿廓上的瞬时温度,从而绘制热图。然后根据归一化位置 S/pn,用 VDI 方法确定诱导表面接触应力,并与极限容许应力进行比较。结果表明,较恶劣的工作条件产生的诱导应力相对较低,但与较不恶劣的工作条件相比,这些条件会在表面热失效时首先失效。换句话说,结果表明,工作条件越恶劣,表面热失效前的工作周期就越短。结果还显示,塑料齿轮和复合材料齿轮的表面热失效行为相似,材料的熔化温度越高,在更恶劣的工作条件下就越能承受表面热失效。
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