Rotational Vibration of a Helical Gear Pair with Modified Tooth Surfaces : Modified Tooth Surface and Its Equivalent Tooth Profile

抄録

Modified tooth profiles and their deflections cause a gear pair to contact away from the theoretical line of action and result in transmitting inconstant rotational motion. Those actual points of contact and their tooth actions can be described using tangential-polar coordinates by giving the measured single flank error and the tooth-spring constant. From this point of view, the rotational motion is analyzed to obtain the dynamic increment of tooth load in this series of papers. In this first paper, the engagement between modified tooth surfaces of a helical gear pair is replaced with that between eqivalent tooth profiles of a spur pair with the same single flank error. The equivalent profile is expressed algebraically as an involute curve with an instantaneous base circle whose radius varies, the tooth actions of which are analyzed geometrically. By giving the tooth-pair spring constant, the equivalent profile under load, its instantaneous base circle and the equivalent tooth-pair spring constant in the region of both single- and multiple-tooth-pair mesh are also analyzed.