Studies on the Design and Form Grinding of Meshing Elements with Arbitrary Tooth Profile

• Main Authors: Chin-Yu Wang, 王進猶
• Other Authors: Cha'o-Kuang Chen
• Format: Others
• Language: zh-TW
• Published: 2002
• Online Access: http://ndltd.ncl.edu.tw/handle/67650894582296708530

博士 === 國立成功大學 === 機械工程學系 === 90 === This thesis discusses the design and manufacture method for parallel axial meshing and without undercutting conditions. It presents for calculating the profile of a grinding wheel for finishing meshing elements with arbitrary tooth profiles on the three different sections. A general circular parameter method (CPM) is proposed to describe the geometry of a basic profile on the specific section. It can derive tooth surface, contact line and grinding wheel contour easily. Gear parameters and grinding variables that can improve contact line conditions and efficiency are also discussed. Finally, examples are presented in which the profiles of grinding wheels for finishing some gears in different cases are calculated numerically. These gears are then finished by an OPAL gear’s grinding machine. It is clearly shown that the gear profiles after wheel grinding are almost the same as the tooth profiles specified in the design stage. 　Final adjustment and control of the grinding process is very important for best grinding efficiency and gear quality. In order to control the grinding process, a simultaneous contact line between the grinding wheel and gear finishing must be considered. Practically, the length of the contact line along the grinding stroke direction should be minimized by optimum selection of the grinding wheel setting angle, which implies that the grinding stroke be as small as possible. Besides, when the length of the contact line is minimal, the contact line discontinuous phenomena are minimal, also. Those improve grinding efficiency, precise, and balances grinding forces in the wheel entry and exit zones for double flank grinding. 　A mathematical model of a stepped double circular-arc helical tooth profile with two center offsets is developed. The conditions of gear meshing that reflect manufacturing and assembly errors are simulated. The locations of bearing contact and contact path pattern of mating tooth surfaces are determined by Tooth Contact Analysis (TCA). By applying the proposed mathematical model and TCA, single error impact can be determined. To compensate offset and angular misalignment, the authors propose an adjustable bearing whereby transmission errors can be minimized. The investigation is illustrated with several numerical examples.