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一、前言机械工业部在部标准 JB2940—81中明确指出:“双园弧齿弧齿轮基本齿条在法截面内的齿形即基准齿形”。在此定义明确后,我们便可得到如下不言而喻的结论:园弧齿轮齿面或滚刀基本蜗杆齿面,应当是它们与基本齿条作展成运动所形成的包络面。进一步的分析还可以证明,只要是存在着齿廓园心移距量(即齿廓移距量不为零),滚刀基本蜗杆的齿形都不是“瞬时成形”的。所以滚刀基本蜗杆法面齿形不可能与基本齿条的法面截形相重合。因此,把基准齿形做为滚刀基本蜗杆法向截形的作法,必然引起理论上的造形误差,引致齿轮的实际尺寸与理论齿形尺寸不符。因此,滚刀基本蜗杆的齿形,必须按与基本齿条共轭的关系进行精确计算。
First, the foreword Ministry of Machinery Industry in the Department of Standards JB2940-81 clearly states: “Double arc arc gear basic rack in the law section of the tooth profile that is the reference tooth.” In this definition is clear, we can get the following self-evident conclusion: Park gear tooth surface or hob basic worm tooth surfaces, should be formed with their basic rack for the formation of enveloping movement. Further analysis can also prove that as long as there is the amount of eccentricity of the tooth profile (that is, the amount of tooth profile shift is not zero), the tooth profile of the hobbing basic worm is not “instantaneous forming”. Therefore, hob basic facets of worm gear can not coincide with the basic rack face truncation. Therefore, using the reference tooth profile as the normal truncation of the basic worm gear hob inevitably leads to the theoretically forming error, which leads to the fact that the actual size of the gear does not match the theoretical tooth profile size. Therefore, hob basic tooth profile, must be based on the basic rack conjugate relationship between accurate calculation.