Research On Tooth Cutting Method And Simulation Analysis Of Double Contact Points Internal Meshing Gears With Curve Configuration

Gear transmission is the most extensively employed power transmission method in modern mechanical equipment due to its broad applicability,smooth motion,reliable operation,and long service life.The progressive advancement of industrial technology has resulted in increased demands for enhanced performance of gear transmissions,thereby making the development of high-performance gear transmissions a key focus in the gear industry.High-performance gears typically exhibit complex tooth profiles and necessitate high surface quality,presenting significant challenges to CNC machining technology and equipment.This study undertakes research and simulation analysis on the tooth cutting methods for double-contact internal meshing curve-configured gears.It proposes techniques for hobbing the convex pinion gear and gear shaping the concave internal gear,establishes tooth profile designs and geometric models for the cutting tools,and analyzes the simulation process of tooth cutting for double-contact internal meshing curve-configured gears.The primary research objectives are as follows:(1)Conduct a fundamental study on the principles of double contact points internal meshing curve-configured gear transmission.Establish the fundamental principles of double-contact internal meshing curve-configured gear transmission,propose basic tooth profile design methods for double contact points internal meshing curve-configured gear pairs,determine the basic tooth form parameters and design principles for the convex pinion gear and concave internal gear,and derive the tooth surface equation for doublecontact internal meshing curve-configured gears.(2)Conduct research on the design methods of hobbing tools for convex pinion gears.Construct the basic tooth form of the hobbing tool for the convex pinion gear,derive the meshing equation and tooth surface equation for the hobbing tool,perform parametric modeling and analysis for the hobbing tool using UG software,establish a 3D model of the hobbing tool’s overall structure,simulate and analyze the hobbing process for the convex tooth surface through numerical simulation based on the principle of instantaneous forming.Derive the deviation calculation formula for the formed tooth surface of the convex pinion gear under different geometric parameters,and propose tooth surface error detection items and methods for double contact points internal meshing curve-configured convex pinion gears.(3)Conduct research on the design methods of gear skiving tools for concave internal gears.Propose the skiving method and fundamental forming principles for concave internal gear teeth,construct the basic tooth form of the skiving tool for concave internal gears,derive the meshing equation and tooth surface equation for the skiving tool,establish a 3D model of the skiving tool and complete the overall structure design.For the skiving method of concave internal gears,perform calculation and analysis of the formed tooth surface deviation,analyze the tooth surface deviation of concave internal gears under different geometric parameters,and propose tooth surface error detection items and methods for double-point contact internal meshing curve-configured concave internal gears.(4)Develop gear tool design software for double-point contact internal meshing curve-configured gears,including modules for designing hobbing tools for convex pinion gears and skiving tools for concave internal gears,enabling parameterized design of different cutting tools.Utilize vericut simulation software to conduct virtual simulation analysis of tooth cutting for double-point contact internal meshing curve-configured gear pairs,establish the basic model of the machining equipment,and perform simulations for both hobbing the convex pinion gear and skiving the concave internal gear.