Tooth Form Emulation And Tooth Contact Analyse Of Klingelnberg Cyclo-Palloid Spiral Bevel Gear

Klingelnberg Cyclo-Palloid spiral bevel gear has construction cramped,excellent transmission quality,low noise and loaded vehavior,it's the main form of gear drives in the bevel gear's technology field.It's Cyclo-Palloid system,Two-Part Cutter head and High Power Gears(HPG),has certain technology particular than Gleason spiral bevel gear.Systemic analysing the manufacture principle and meshing principle of Klingelnberg Cyclo-Palloid spiral bevel gear,for accomplishing design theory and analysis method,for enhancement manufacture precision and loaded behavior,for promotion and applied in engineering field,have important theory value and actuality meaning.Main work of the paper is tooth form emulation and tooth contact analyse of Klingelnberg Cyclo-Palloid spiral bevel gear.At first the paper begin to study the foundation of digital curved face and space meshing principle,introduce the basic knowledge of curve theory and curved face theory,explain the mathematical tools of vector turning and coordinate conversion in the paper;analyse the motion and relative motion of rigid body,provide the condition of gear driving continuous contact and equation of conjugate meshing.Analyse the Klingelnberg AMK855 gear milling machine.Through analyse the transmission chain of the gear milling machine,analyse the transmitting principle and manufacture principle,introduce the Two--Part Cutter head, the process of formation of extended epicycloide and inaginary crown gear cutting principle;Overall introduce the formation of tooth face,deduce the calculation formulas of the main setting parameter of gear milling machine,and proving the correctness of the setting calculation formulas by the program of'Calculating of Klingelnberg Cyclo-Palloid spiral bevel gear milling setting parameter'.Analyse the tooth geometry of Klingelnberg Cyclo-Palloid spiral bevel gear.,according to the relative position and kinematic relation of the cutter heads,virtual crown gear and the processed wheel blank,established the system of coordinates of the gear cutting, dedcuced the tooth face equation of the virtual crown gear, according to relations of the gear cutting and space theory of engagement, deduced the tooth face equation of klingelnberg Cyclo-Palloid spiral bevel gear, and drawing the three-dimensional graphs of the virutal crown gear and Klingelnberg Cyclo-Palloid spiral bevel gear according to the design and setting parameters.Analyse the tooth contact analysis of Klingelnberg Cyclo-Palloid spiral bevel gear. Established the system of coordinates of roll testing,getting the parameters of equation of tooth face by solving the non-linear equations set;according to the differential geometry and meshing principle,deduce the curvature parameters of tooth face and tooth profile,and get the parameters of instantaneous contact ellipse.Emulate the contact trace and contact area of the working tooth face,and drawing the instantaneous drive ratio error curve.