| The double involute gear with ladder-shaped teeth is a new type of involute gear,which comprises the advantages of both common involute gear and double circular-arc gear.The involute gear tooth profile consists of two interlocked involutes and a transitional curve which links above concerned involutes and the involutes of the addendum and dedendum are ladder-shaped placed.The dynamic characteristics of gear transmission is an important index for evaluating the performance of the dynamic characteristics of gear.The study of the dynamic characteristics of the double involute gear transmission system is of great significance to the design and analysis of the gear system.This article mainly carries on the following research:1)The dynamic model of the double involute gear transmission was deduced,and the torsional vibration model of the double involute gear drive was established.According to the forming principle of double involute gear tooth surface,the tooth profile and the tooth profile equation of the double involute gear are obtained.And the Solidworks software was used to carry out the 3D parametric modeling and assembly of the involute gear,which provides a key model for the finite element analysis of the double involute gear drive.2)Based on the finite element model of the double involute gear with different helix angles,the influence of helix angle on the modal frequency and contact stress was studied.Based on the response surface method,the influence of the gear tooth surface friction and meshing stiffness on the vibration and modal frequencies of the system was studied.Under the condition that the working conditions and other parameters were unchanged,the change law of the contact stress of the gears was studied by changing the step parameters.3)The cumulative integral potential energy method was used to calculate the meshing stiffness of the double involute gear,and was compared with that of the involute gear with the same parameter.The meshing stiffness of double involute gears with different tooth width,modulus and step parameters was analyzed.4)The transient stress analysis and the thermo mechanical coupled friction analysis of the double involute gear were carried out,and the contact stress distribution at different time was obtained.The ANSYS software was used to study the contact stress nephogram and the contour of the single tooth surface of the double involute gear with different meshing position.5)A nonlinear dynamic model of single degree of freedom torsional vibration of double involute gear with backlash was established,the variable step size Runge-Kutta method is used to solve the problem,The meshing damping and meshing stiffness on the nonlinear dynamic characteristics of double involute gears were studied. |
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