ROTATIONAL VIBRATION OF A HELICAL GEAR PAIR HAVING TOOTH SURFACE DEVIATION DURING TRANSMISSION OF LIGHT LOAD

We present a simulation which can depict the rotational vibration of a helical gear pair with various types of tooth surface deviation durin g transmission of a light load, i.e., the contact pattern does not ext end full surface due to the tooth flank deviation. First, to analyze t he effect of any type of tooth surface deviation, compressive deformat ion by tooth-to-tooth contact was modeled as the contact between a fin ite width plane and a roller the diameter of which changes arbitrarily by a small amount along the axis. Secondly, to analyze the compressiv e deformation of a gear pair with relatively narrow tooth width, the e ffect of free edges has been clarified and introduced. The reaction fo rce between the driving and the driven gears is introduced into the dy namic equation of motion instead of the elastic term composed of stiff ness and relative displacement of a gear pair for the estimation of no nlinear elastic behavior under a light load condition. The simulation code is developed based on the above ideas, and it is experimentally v erified for various types of tooth surface deviation.