Reasearch On Resonance And Random Vibration Of Double Involute Gear

The double involute gear is a new type of gear,which comprises the advantages of both common involute gear and double circular-arc gear.The biggest feature of the gear is composed of a two-stage involute curve and a transition curve which connected to it,and the involute profile of the tooth tip and the tooth root are arranged in a stepped manner.The gear’s vibration characteristics are an important indicator to evaluate the performance of gears,and it is of great significance to analyze the dynamic performance of gears.The main research contents of this article are as follows:1)Establishing the Double Involute Gear Finite Element Model used by Soildworks,which based on three-dimensional parametric modeling technology,the double involute gear is modeled and assembled,and the three-dimensional parameterized double involute gear model is established to provide the basis for finite element analysis.2)Modal analysis of double involute gear is carried out and by analyzing modal analysis,the natural frequency,vibration modes and vibration modes of each stage were studied,and compared with involute gears under the same working conditions,the variation of vibration characteristics was studied.3)The vibration model of the finite-element harmonic response of double involute gears was established,and the harmonic response analysis was performed using the modal superposition method.By analyzing the relationship between its resonant frequency and stress,strain,and deformation,comparing it with ordinary involute gears under the same conditions,its vibration performance was settled.4)Static-contact finite element analysis and transient dynamics analysis of double involute gears with friction was conducted to investigate the change law of static stress and friction in meshing process,the influence of contact strength on the involute gear meshing process under different conditions was studied.5)A nonlinear dynamical model of double involute gear meshing type bending-torsion coupling was established,which solved numerically by variable step size Runge-Kutta method.To study the change law of meshing damping under random disturbance and analyze its influence on the dynamic performance of double involute gears.