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—般说来,在做齿轮样板时大都采用一段或几段圆弧代替理论渐伸线的画法。这种近似画法在齿数少、模数大的情况下,或者画修正齿轮样板时,就更为粗糙。本文所讨论的机械画法可以画出理论的渐伸线,实践证明,在实际应用上是可靠的。一、在铣床上画渐伸线所根据的原理假设任一基圆沿着一与它相切的固定不动的直线(或切线)作纯滚动,基圆开始滚动时与直线相切之点在基圆上为A′点、在直线上为4″点(见图1a),开始滚动时A′点与A″点重合。直线既然是固定不动的,故可放一枝固定不动的铅笔或划针于A″点上,当基圆沿着直线作纯滚动时,则在与基圆一起滚动的平面上即绘出渐伸线,渐伸线的始端为A′,末端为A″(见图1b)。
In general, most of the time in the gear model to use a few paragraphs or arc instead of the theory of involute drawing. This approximation is even more crude when the number of teeth is small, the modulus is large, or the correction gear model is drawn. Mechanical drawing discussed in this article can draw the theoretical involute line, the practice has proved that in practical applications is reliable. First, draw the involute line on the milling machine according to the principle of assuming that any base circle along a straight line (or tangent) tangent to it for pure rolling, base circle began rolling tangent point with the straight line A ’on the base circle and 4 “on the straight line (see Fig. 1a). When starting to roll, the points A’ and A” coincide. Since the straight line is fixed, it can be put a stationary pencil or needle on the A “point, when the base circle along the straight line for pure rolling, then scroll with the base circle on the plane that is drawn The involute line, the beginning of the involute line A ’, the end of A ”(see Figure 1b).