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自三十年代对万向节传动运动学分析以来,所提出的有关万向节传动的各种分析方法在实际中还未给人留下强烈的印象。最近发表的几篇文章中,资料[1]提出的几个准确公式已为资料[2、4]中的近似公式所取代。资料[5、6]建立了用于万向节传动综合的图解方法。然而,不管近似分析方法还是图解方法都未揭示出万向节传动的特性,并且这两种方法亦未提出万向节传动的改进方法。至今为止,还未见提出用于万向节传动运动分析、综合的准确数学方法。尽管某些著作(如资料[6])讨论了当量角(合成角)的概念,但却没有导出等效万向节机构基本公式。现在还没有任何论述提出用于最佳万向节传动综合的方法。笔者不赞同资料[6]中的观点:如果当量角为零,则所得的万向节叉架,即为最佳万向叉架。因为这个问题并不象资料[6]所述的那样简单。
Since the kinematics analysis of the universal joint transmission in the 1930s, the various analysis methods proposed for the universal joint transmission have not yet given a strong impression in practice. In several recent articles, several accurate formulas proposed by data [1] have been replaced by approximate formulas in [2, 4]. Data [5,6] established a graphical method for universal joint transmission. However, neither the approximate analysis method nor the graphical method reveals the characteristics of the universal joint transmission, and neither of these methods proposes an improved method of universal joint transmission. To date, no accurate mathematical method has been proposed for the analysis of gimbal drive motions. Although some works (such as data [6]) discussed the concept of equivalence angle (synthetic angle), they did not derive the basic formula of equivalent universal joint mechanism. There is no discussion at this time about a method for synthesizing the best universal joints. I do not agree with the data [6] point of view: If the equivalent angle is zero, the resulting universal joint yoke, which is the best universal yoke. Because the problem is not as simple as the one in [6].