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Faydor L Litvin - One of the best experts on this subject based on the ideXlab platform.

  • generalized concept of meshing and contact of involute crossed Helical Gears and its application
    Computer Methods in Applied Mechanics and Engineering, 2005
    Co-Authors: Faydor L Litvin, Alfonso Fuentes, Ignacio Gonzalezperez, Daniele Vecchiato
    Abstract:

    Abstract A general approach for generation and design of standard and non-standard involute crossed Helical Gears is proposed. The conjugation of gear tooth surfaces is based on application of two generating rack-cutters with a common normal section. The investigation of the geometry is based on a new approach for presentation of the line of action A (the line of points of contact of tooth surfaces). Line A is represented in a plane Π that is tangent to the pinion base cylinder and position of A is determined analytically. Edge contact of tooth surfaces is avoided by limitation of shift of line of action caused by errors Δγ and ΔE of the crossing angle and the shortest distance, respectively. Simulation of meshing and contact is computerized by developed computer program. Enhanced stress analysis approach is proposed. The developed theory is illustrated with numerical examples.

  • modified involute Helical Gears computerized design simulation of meshing and stress analysis
    Computer Methods in Applied Mechanics and Engineering, 2003
    Co-Authors: Faydor L Litvin, Alfonso Fuentes, Ignacio Gonzalezperez, Luca Carvenali, Kazumasa Kawasaki, R F Handschuh
    Abstract:

    The contents of the paper cover: (i) computerized design, (ii) methods for generation, (iii) simulation of meshing, and (iv) enhanced stress analysis of modified involute Helical Gears. The approaches proposed for modification of conventional involute Helical Gears are based on conjugation of double-crowned pinion with a conventional Helical involute gear. Double-crowning of the pinion means deviation of cross-profile from an involute one and deviation in longitudinal direction from a helicoid surface. The pinion-gear tooth surfaces are in point contact, the bearing contact is localized and oriented longitudinally, edge contact is avoided, the influence of errors of alignment on the shift of bearing contact and vibration and noise are reduced substantially. The developed theory is illustrated with numerical examples that confirm the advantages of the gear drives of the modified geometry in comparison with conventional Helical involute Gears.

  • computerized generation and simulation of meshing of modified spur and Helical Gears manufactured by shaving
    Computer Methods in Applied Mechanics and Engineering, 2001
    Co-Authors: Faydor L Litvin, Daniele Vecchiato, Alberto Demenego, R F Handschuh
    Abstract:

    Abstract Modification of geometry of spur and Helical Gears with parallel axes and Helical Gears with crossed axes is proposed. The finishing process of gear generation is shaving. The purposes of modification of gear geometry are: (i) localization and stabilization of bearing contact, and (ii) reduction of noise and vibration. The goals mentioned above are achieved as follows: 1. The pinion shaver tooth surface, in comparison with a conventional screw involute surface, is profile crowned. 2. Plunging during the process of pinion shaving is provided by variation of shortest distance E between the shaver and pinion axes. Variation of E is executed by application of a parabolic function. 3. The pinion tooth surface becomes double-crowned, in profile and longitudinal directions, due to profile crowning of pinion shaver and variation of plunging. The gear tooth surface is generated as a conventional involute gear. Tooth contact analysis (TCA) computer program for simulation of meshing and contact of shaved pinion-gear tooth surfaces is developed. The developed theory is illustrated with TCA results obtained for spur and Helical Gears.

  • determination of principal curvatures and contact ellipse for profile crowned Helical Gears
    Journal of Mechanical Design, 1999
    Co-Authors: P H Feng, Faydor L Litvin, D P Townsend, R F Handschuh
    Abstract:

    Helical Gears with localized bearing contact of tooth surfaces achieved by profile crowning of tooth surfaces are considered. Profile crowning is provided by application of two imaginary rack-cutters with mismatched surfaces. The goal is to determine the dimensions and orientation of the instantaneous contact ellipse that requires the determination of principle curvatures of pinion-gear tooth surfaces. A simplified solution to this problem is proposed based on the approach developed in [1, 2] for correlation of principal curvatures and directions of generating and generated tooth surfaces. The obtained equations are applied for profile crowning where the normal profiles of the rack-cutters are either a circular arc or a straight line.

  • computerized design and generation of double circular arc Helical Gears with low transmission errors
    Computer Methods in Applied Mechanics and Engineering, 1995
    Co-Authors: Faydor L Litvin, Jian Lu
    Abstract:

    Abstract The authors have computerized the simulation of meshing and contact of double circular-arc Helical Gears, and determined the impact of gear misalignment on transmission errors. A modified geometry of the Gears for absorption of transmission errors caused by misalignment has been developed. The generation and the geometry of the Gears are represented in the Appendices. Numerical examples that illustrate the developed theory are represented.

Jose I Pedrero - One of the best experts on this subject based on the ideXlab platform.

  • Tooth-root stress calculation of high transverse contact ratio spur and Helical Gears
    Meccanica, 2014
    Co-Authors: Miryam B. Sánchez, Miguel Pleguezuelos, Jose I Pedrero
    Abstract:

    In this paper, a non-uniform model of load distribution along the line of contact of spur and Helical Gears, obtained from the minimum elastic potential criterion, has been used, combined with the equations of the linear elasticity, to evaluate the tooth-root stress of high transverse contact ratio Gears. The values of both critical stress and load conditions have been obtained and a complete analysis of the tooth bending strength has been carried out. As the load per unit of length at any point of the line of contact and any position of the meshing cycle has been described by a very simple equation, a complete study of the location and the value of the tooth-root stress has been carried out. From this study, a recommendation for the calculation of the bending load capacity of high transverse contact ratio spur and Helical Gears is proposed.

  • critical stress and load conditions for bending calculations of involute spur and Helical Gears
    International Journal of Fatigue, 2013
    Co-Authors: Miryam B. Sánchez, Jose I Pedrero, Miguel Pleguezuelos
    Abstract:

    Abstract In this paper, a non-uniform model of load distribution along the line of contact of spur and Helical Gears, obtained from the minimum elastic potential criterion, has been used, combined with the equations of the linear elasticity, to evaluate the fatigue tooth-root stress. The critical value of the stress and the critical load conditions have been obtained and a complete analysis of the tooth bending strength has been carried out. As the load per unit of length at any point of the line of contact and any position of the meshing cycle has been described by a very simple analytic equation, a complete study of the location and the value of the tooth-root bending stress has been carried out. From this study, a recommendation for the calculation of the bending load capacity of spur and Helical Gears is proposed.

Miryam B. Sánchez - One of the best experts on this subject based on the ideXlab platform.

  • Tooth-root stress calculation of high transverse contact ratio spur and Helical Gears
    Meccanica, 2014
    Co-Authors: Miryam B. Sánchez, Miguel Pleguezuelos, Jose I Pedrero
    Abstract:

    In this paper, a non-uniform model of load distribution along the line of contact of spur and Helical Gears, obtained from the minimum elastic potential criterion, has been used, combined with the equations of the linear elasticity, to evaluate the tooth-root stress of high transverse contact ratio Gears. The values of both critical stress and load conditions have been obtained and a complete analysis of the tooth bending strength has been carried out. As the load per unit of length at any point of the line of contact and any position of the meshing cycle has been described by a very simple equation, a complete study of the location and the value of the tooth-root stress has been carried out. From this study, a recommendation for the calculation of the bending load capacity of high transverse contact ratio spur and Helical Gears is proposed.

  • critical stress and load conditions for bending calculations of involute spur and Helical Gears
    International Journal of Fatigue, 2013
    Co-Authors: Miryam B. Sánchez, Jose I Pedrero, Miguel Pleguezuelos
    Abstract:

    Abstract In this paper, a non-uniform model of load distribution along the line of contact of spur and Helical Gears, obtained from the minimum elastic potential criterion, has been used, combined with the equations of the linear elasticity, to evaluate the fatigue tooth-root stress. The critical value of the stress and the critical load conditions have been obtained and a complete analysis of the tooth bending strength has been carried out. As the load per unit of length at any point of the line of contact and any position of the meshing cycle has been described by a very simple analytic equation, a complete study of the location and the value of the tooth-root bending stress has been carried out. From this study, a recommendation for the calculation of the bending load capacity of spur and Helical Gears is proposed.

Miguel Pleguezuelos - One of the best experts on this subject based on the ideXlab platform.

  • Tooth-root stress calculation of high transverse contact ratio spur and Helical Gears
    Meccanica, 2014
    Co-Authors: Miryam B. Sánchez, Miguel Pleguezuelos, Jose I Pedrero
    Abstract:

    In this paper, a non-uniform model of load distribution along the line of contact of spur and Helical Gears, obtained from the minimum elastic potential criterion, has been used, combined with the equations of the linear elasticity, to evaluate the tooth-root stress of high transverse contact ratio Gears. The values of both critical stress and load conditions have been obtained and a complete analysis of the tooth bending strength has been carried out. As the load per unit of length at any point of the line of contact and any position of the meshing cycle has been described by a very simple equation, a complete study of the location and the value of the tooth-root stress has been carried out. From this study, a recommendation for the calculation of the bending load capacity of high transverse contact ratio spur and Helical Gears is proposed.

  • critical stress and load conditions for bending calculations of involute spur and Helical Gears
    International Journal of Fatigue, 2013
    Co-Authors: Miryam B. Sánchez, Jose I Pedrero, Miguel Pleguezuelos
    Abstract:

    Abstract In this paper, a non-uniform model of load distribution along the line of contact of spur and Helical Gears, obtained from the minimum elastic potential criterion, has been used, combined with the equations of the linear elasticity, to evaluate the fatigue tooth-root stress. The critical value of the stress and the critical load conditions have been obtained and a complete analysis of the tooth bending strength has been carried out. As the load per unit of length at any point of the line of contact and any position of the meshing cycle has been described by a very simple analytic equation, a complete study of the location and the value of the tooth-root bending stress has been carried out. From this study, a recommendation for the calculation of the bending load capacity of spur and Helical Gears is proposed.

R F Handschuh - One of the best experts on this subject based on the ideXlab platform.

  • modified involute Helical Gears computerized design simulation of meshing and stress analysis
    Computer Methods in Applied Mechanics and Engineering, 2003
    Co-Authors: Faydor L Litvin, Alfonso Fuentes, Ignacio Gonzalezperez, Luca Carvenali, Kazumasa Kawasaki, R F Handschuh
    Abstract:

    The contents of the paper cover: (i) computerized design, (ii) methods for generation, (iii) simulation of meshing, and (iv) enhanced stress analysis of modified involute Helical Gears. The approaches proposed for modification of conventional involute Helical Gears are based on conjugation of double-crowned pinion with a conventional Helical involute gear. Double-crowning of the pinion means deviation of cross-profile from an involute one and deviation in longitudinal direction from a helicoid surface. The pinion-gear tooth surfaces are in point contact, the bearing contact is localized and oriented longitudinally, edge contact is avoided, the influence of errors of alignment on the shift of bearing contact and vibration and noise are reduced substantially. The developed theory is illustrated with numerical examples that confirm the advantages of the gear drives of the modified geometry in comparison with conventional Helical involute Gears.

  • computerized generation and simulation of meshing of modified spur and Helical Gears manufactured by shaving
    Computer Methods in Applied Mechanics and Engineering, 2001
    Co-Authors: Faydor L Litvin, Daniele Vecchiato, Alberto Demenego, R F Handschuh
    Abstract:

    Abstract Modification of geometry of spur and Helical Gears with parallel axes and Helical Gears with crossed axes is proposed. The finishing process of gear generation is shaving. The purposes of modification of gear geometry are: (i) localization and stabilization of bearing contact, and (ii) reduction of noise and vibration. The goals mentioned above are achieved as follows: 1. The pinion shaver tooth surface, in comparison with a conventional screw involute surface, is profile crowned. 2. Plunging during the process of pinion shaving is provided by variation of shortest distance E between the shaver and pinion axes. Variation of E is executed by application of a parabolic function. 3. The pinion tooth surface becomes double-crowned, in profile and longitudinal directions, due to profile crowning of pinion shaver and variation of plunging. The gear tooth surface is generated as a conventional involute gear. Tooth contact analysis (TCA) computer program for simulation of meshing and contact of shaved pinion-gear tooth surfaces is developed. The developed theory is illustrated with TCA results obtained for spur and Helical Gears.

  • computerized design and generation of low noise Helical Gears with modified surface topology
    Journal of Mechanical Design, 1995
    Co-Authors: Faydor L Litvin, N X Chen, Jian Lu, R F Handschuh
    Abstract:

    An approach for the design and generation of low-noise Helical Gears with localized bearing contact is proposed. The approach is applied to double circular arc Helical Gears and modified involute Helical Gears. The reduction of noise and vibration is achieved by application of a predesigned parabolic function of transmission errors that is able to absorb a discontinuous linear function of transmission errors caused by misalignment. The localization of the bearing contact is achieved by the mismatch of pinion-gear tooth surfaces. Computerized simulation of meshing and contact of the designed Gears demonstrated that the proposed approach will produce a pair of Gears that has a parabolic transmission error function even when misalignment is present. Numerical examples for illustration of the developed approach are given.

  • computerized design and generation of low noise Helical Gears with modified surface topology
    NASA STI Recon Technical Report N, 1994
    Co-Authors: Faydor L Litvin, N X Chen, Jian Lu, R F Handschuh
    Abstract:

    Abstract : An approach for design and generation of low-noise Helical Gears with localized bearing contact is proposed. The approach is applied to double circular arc Helical Gears and modified involute Helical Gears. The reduction of noise and vibration is achieved by application of a predesigned parabolic function of transmission errors that is able to absorb a discontinuous linear function of transmission errors caused by misalignment. The localization of the bearing contact is achieved by the mismatch of pinion-gear tooth surfaces. Computerized simulation of meshing and contact of the designed Gears demonstrated that the proposed approach will produce a pair of Gears that has a parabolic transmission error function even when misalignment is present. Numerical examples for illustration of the developed approach are given.