Fast modeling of conjugate gear tooth profiles using discrete presentation by involute segments

Calculation of Spur Gear Dynamic Transmission Error in Consideration of the Progressive Engagement of Compliant Profile-modified Teeth

“…After ascertaining the kinematical characteristics of the modified gears, dynamic simulation of these gears has been conducted over a wide range of speeds using a combined geometric-kinematic-dynamic model based on known analytical and numerical models for calculating gear geometry, contact and kinematics [13][14][15][16][17][18] and mechanical response of the elastic tooth mesh, also in consideration of modified tooth geometries and elastohydrodynamic lubrication-induced tooth surface deformations [19][20][21][22][23][24][25][26][27][28][29][30]. This translates into the following relationship: O (also corresponding to the position vectors marked in boldface), the incorporation of the slip angle yields from Eqs.…”

A Lightweight Model for Gear Mesh Dynamics Incorporating Variable Mesh Stiffness

“…However these models are typically either too simplistic in terms of how stiffness is modelled, or employ complex FEA analysis that is resource intensive. In this paper a novel accurate and yet computationally lightweight SDOF model for gear dynamics is developed on the basis of recently developed analytical and numerical models for calculating gear geometry, contact and kinematics [6][7][8][9][10][11][12][13] and mechanical response of the elastic tooth mesh, in consideration of various tooth geometries [14][15][16][17][18][19][20][21][22][23][24].The implications of the varying tooth stiffness during a mesh cycle on the overall dynamic response are studied and a correlation is made between the gear properties and the tooth stiffness distribution based on the results of numerous simulations.…”

Power Transmissions

“…The CNC machining center cutting of these gears requires accurate modeling of the working gear tooth flanks since it is a non-generating method as opposed to hobbing or rack cutting. This paper is based on a new concept in gear flank modeling using the principle of involute discretisation of the tooth flanks (Spitas et al 2007). Litvin andFeng (1996), Vecchiato et al (2001), Demenego et al (2002) have used the Theory of Gearing to address the problem of the calculation of loboid gear tooth geometry, while other existing works have developed geometry-specific methods (Yang and Blanche 1990;Ye et al 2006;Shin and Kwon 2006;Stryczek 1990Stryczek , 1993Sung and Tsai 1997).…”

“…Therefore, extensive tooth modeling is required and most often CAD/CAM software is used. The basic advantage of the proposed new technique is that it offers a substantial reduction of the computational time needed for calculating conjugate tooth profiles (Spitas et al 2007) since it does not have to solve any equations as in the standard theory of gearing. The basic characteristic of these theories is that they offer implicit solutions requiring elaborate numerical methods to solve the complex differential equations and therefore they are characterized by increased computational time requirements.…”