Parameterized modeling of gear without involute equations based on Pro/E
Zhou Hou-ming
Abstract
Zhou Hou-ming
Abstract
In order to avoid establishing the tedious involute equation,and accurately get the non-involute tooth profile curve of the gear tooth root part namely the dedendum transition curve rather than just make an approximate treatment,meanwhile,effectively simulate the machining process of the gear contour,which can make the parameterized modeling of the gear more convenient and higher precision,the method was as follows: according to the principle of generating method about machining the gear and the simulation of the rack tool machining the gear as the basis,parameterizing the rack system,modifying curves generated by the profile points of the rack tool in Pro/E movement simulation,the accurate gear involute could be obtained.Then the establishment of the gear parametric 3D model was completed.This method can effectively simulate the machining process of the gear contour and realize the gear tooth profile drawn exactly,which avoids the bondage of the involute parameter equation and the programming language,and is novel,practical and easy-to-understand in 3D parametric gear design.
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In order to avoid establishing the tedious involute equation,and accurately get the non-involute tooth profile curve of the gear tooth root part namely the dedendum transition curve rather than just make an approximate treatment,meanwhile,effectively simulate the machining process of the gear contour,which can make the parameterized modeling of the gear more convenient and higher precision,the method was as follows: according to the principle of generating method about machining the gear and the simulation of the rack tool machining the gear as the basis,parameterizing the rack system,modifying curves generated by the profile points of the rack tool in Pro/E movement simulation,the accurate gear involute could be obtained.Then the establishment of the gear parametric 3D model was completed.This method can effectively simulate the machining process of the gear contour and realize the gear tooth profile drawn exactly,which avoids the bondage of the involute parameter equation and the programming language,and is novel,practical and easy-to-understand in 3D parametric gear design.
Key concepts: Involute, Involute gear, Rack, Machining, Parameterized complexity, Parametric equation, Process (computing), Cycloid gear