Involute Gear

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Jesper Brauer - One of the best experts on this subject based on the ideXlab platform.

  • transmission error in anti backlash conical Involute Gear transmissions a global local fe approach
    Finite Elements in Analysis and Design, 2005
    Co-Authors: Jesper Brauer
    Abstract:

    This paper reports on a theoretical study of transmission errors in anti-backlash conical Involute Gear transmissions. Such transmissions are used to reduce or eliminate the backlash in mechatronic products such as industrial robots and thereby improving system stability. A global-local finite-element (FE) approach reduced the total computation time needed to solve the non-linear contact problems. This approach yields a dense FE mesh in the contact regions and a coarse mesh in the rest of the teeth.

  • A general finite element model of Involute Gears
    Finite Elements in Analysis and Design, 2004
    Co-Authors: Jesper Brauer
    Abstract:

    Involute Gears comprise primarily spur Gears, helical Gears, straight conical Involute Gears and conical Involute Gears. Robust and effective parameterised finite element models of Involute Gears should be based on analytically derived mathematical representations of their shape. In this paper we derive a mathematical description of conical Involute Gears that is also capable of representing three other types of Involute Gear. The equations and the intervals for the surface parameters are then used to create a general finite element model of Involute Gears.

  • Analytical geometry of straight conical Involute Gears
    Mechanism and Machine Theory, 2002
    Co-Authors: Jesper Brauer
    Abstract:

    Although conical Involute Gears are frequently used in anti-backlash schemes, no detailed mathematical geometry description of conical Involute Gear teeth hitherto exists. In this paper we derive the parametric equations for a straight conical Involute Gear tooth surface and its offset surface. These formulas are then used to create a finite element (FE) model with a specific surface layer. Such a surface layer enables meshing control or modelling of surface properties such as case hardening and surface roughness. In addition, we derive an expression for the minimum value of the inner transverse addendum modification coefficient that avoids undercutting of the whole Gear tooth.

Yicheng Chen - One of the best experts on this subject based on the ideXlab platform.

  • contact stress analysis of concave conical Involute Gear pairs with non parallel axes
    Finite Elements in Analysis and Design, 2011
    Co-Authors: Yicheng Chen
    Abstract:

    This study investigates the contact stress of concave conical Involute Gear pairs with non-parallel axes by means of finite element analysis. The complete mathematical models of the Gear pair, including the working tooth surfaces and the fillets have been derived based on the theory of Gearing and the generation mechanism. A mesh-generation program is also developed, which gives a dense mesh in the contact regions and a coarse mesh in the rest of the teeth. The commercial software, ABAQUS, capable of contact analysis of two 3-D deformable bodies is applied to evaluate the stress distribution on the tooth surfaces. Several numerical examples are presented to demonstrate the stress analysis of the Gear pairs with various Gear design parameters. The results show that the contact stress of non-parallel-axes concave conical Involute Gear pair can be reduced significantly by choosing grinding wheel with smaller radius. Therefore, concave Involute Gear pairs relieve the high contact stress problem of non-parallel-axes conventional conical Involute Gear pairs.

Ken-ichi Mitome - One of the best experts on this subject based on the ideXlab platform.

  • profile shifted conical Involute Gear with deep tooth depth
    ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, 2007
    Co-Authors: Tatsuya Ohmachi, Hidenori Komatsubara, Atsushi Uchino, Makoto Saito, Kohei Saiki, Ken-ichi Mitome
    Abstract:

    This paper proposes a new design method for profile shifted conical Gear with deep tooth depth. This method has two new concepts. First, this method is based on the designed pitch point where the rack shift coefficient is not zero. Second, this method is based on the theory of nonintersecting bevel Gear such as hypoid Gear, to decide the mounting dimensions of the profile shifted conical Involute Gears with deep tooth depth. The profile shifted conical Involute Gears have the designed pitch point that is not the standard pitch point. Limits of the rack shift coefficient and the facewidth, for the undercut and the zero top land, are clarified. Next, the production system is shown, and several typical test Gears are manufactured. Paths of contact between tooth surfaces of profile shifted conical Gears are obtained by tooth bearing tests. As a result, the measured value of limits of the rack shift coefficient and the facewidth on the manufactured tested Gears are in good agreement with the theoretical ones. Moreover, test results of tooth bearing are in good agreement with the theoretical ones.Copyright © 2007 by ASME

  • Conical Involute Gear: Development, Applications, and View for Tomorrow
    Volume 4: 9th International Power Transmission and Gearing Conference Parts A and B, 2003
    Co-Authors: Ken-ichi Mitome, Tatsuya Ohmachi, Hidenori Komatsubara
    Abstract:

    The design and production system of the conical Involute Gear has been developed. This system is composed of Gear cutting method, Gear grinding method, over-ball measurement for control of finishing dimensions, tooth surface measurement, tooth surface analysis, tooth action and normal allowable load between two mating Gears, and the design of a pair of Gears. As a result, conical Involute Gears came to be used in a wide range of applications. This paper presents the research and development for more than 25 years, many applications, and a new possibility for tomorrow.Copyright © 2003 by ASME

  • Tooth Surface Measurement of Conical Involute Gears by CNC Gear-Measuring Machine
    Journal of Mechanical Design, 1998
    Co-Authors: Ken-ichi Mitome, Tohru Gotou, Takeshi Ueda
    Abstract:

    Developed is a new tooth surface measurement of conical Involute Gears by CNC Gear-measuring machines. Advances in the design and production of conical Involute Gears and its wide applications are demanding the measurement of the conical Involute Gears using CNC Gear measuring machines. Therefore, a new concept called an equivalent helical Gear is introduced. Thus, a conical Involute Gear can be measured as a helical Involute Gear. Experiments demonstrate that this new method gives accurate results and has practical value. Finally tooth surface analysis of a conical Involute Gears is also presented.

  • Infeed Grinding of Straight Conical Involute Gear
    Jsme International Journal Series C-mechanical Systems Machine Elements and Manufacturing, 1993
    Co-Authors: Ken-ichi Mitome
    Abstract:

    The greatest possibility of the conical Involute Gear is in the use of straight conical Involute Gears in place of bevel Gears. However, the key for realizing this usage is to establish the method of grinding straight conical Involute Gears which have a comparatively large cone angle. In this study, three grinding methods to finish such a Gear are developed : Niles-type infeed ginding, table sliding infeed grinding, and inclining work-arbor infeed grinding. The principles and the available machines are described, the test results are discussed, and it is concluded that the most practical method is table sliding infeed grinding.

Shyijeng Tsai - One of the best experts on this subject based on the ideXlab platform.

  • contact stress analysis of skew conical Involute Gear drives in approximate line contact
    Mechanism and Machine Theory, 2009
    Co-Authors: Szuhan Wu, Shyijeng Tsai
    Abstract:

    An approach for loaded tooth contact analysis of skew conical Gear drives in approximate line contact is proposed. The meshing analysis is based on the characteristic of the line of action of Involute Gearing. The contact problem is solved numerically giving due consideration to the influences of the tooth contact deformation and tooth bending deflection. The proposed approach is efficient and practical not only for cases of non-Hertzian contact, but also for Gear drives with end-relieved or modified flanks.

  • geometrical design of skew conical Involute Gear drives in approximate line contact
    Proceedings of the Institution of Mechanical Engineers Part C: Journal of Mechanical Engineering Science, 2009
    Co-Authors: S H Wu, Shyijeng Tsai
    Abstract:

    AbstractA novel design for skew conical Involute Gear drives in approximate line contact is proposed. Such a drive has a contact ellipse with a large major-to-minor-axis ratio, which allows it to overcome the weakness of conical Gear drives for application in power transmission. This Gearing design approach is characterized by reduced edge contact sensitivity and increased surface durability. The edge contact sensitivity that can arise with this kind of Gear drive due to assembly or manufacturing errors is evaluated by analysing the value of the shift of the line of action caused by such errors. The surface durability is evaluated by calculating the Hertz stress. Some guidelines are developed based on the analysis of the influence of the Gearing parameters on the edge contact sensitivity and the surface durability made possible using this design approach for conical Gear drives in the approximate line contact. The guidelines are summarized and, finally, a practical example is given to demonstrate the feas...

Frank Hartig - One of the best experts on this subject based on the ideXlab platform.

  • 3d Involute Gear evaluation part i workpiece coordinates
    Measurement, 2019
    Co-Authors: Frank Hartig, Martin Stein
    Abstract:

    Abstract The definition of 3D workpiece coordinates for cylindrical Involute Gears, together with their formal relation to conventional cross sections, are prerequisites for an unambiguous and thus reliable evaluation of 3D measurement data. Both will be described in this article, as no corresponding information is currently available in national or international standards and guidelines. The definitions and calculation methods presented here are part of reference algorithms used by the Physikalisch-Technische Bundesanstalt (PTB), the national metrology institute of Germany, to certify Gear evaluation software.

  • standard conforming Involute Gear metrology using an articulated arm coordinate measuring system
    Measurement Science and Technology, 2012
    Co-Authors: Frank Hartig, Karin Kniel
    Abstract:

    Standard conforming Involute Gear measurements were taken by a manually operating articulated arm system and the respective task-specific measurement uncertainties were estimated. User-friendly templates were developed to provide almost unambiguous and repeatable measurement results. They allow the metrologist to easily detect and gather the single measurement points according to existing guidelines and standards commonly used in Gear metrology. The research activities were carried out at the Physikalisch-Technische Bundesanstalt (PTB), Germany in the Department of Coordinate Metrology. Measurements were taken on a robust and highly accurate large Gear measurement standard of PTB, in the following called the Gear standard. This Gear standard materializes a left-hand and a right-hand Gear as well as a spur Gear. The 1?m outside diameter of the Gear standard is similar to the Gears used in wind power plants. A commercial articulated arm coordinate measuring system was used for the measurements. A high temperature stability of ?0.2??C was provided to minimize thermal influences. The results of profile and helix measurements will be presented. This worldwide first investigation, on the basis of a calibrated Involute Gear standard, gives users of the articulating arm system quantitative information on a task-specific performance of a representative Gear measurement.

  • an international comparison of Involute Gear profile and helix measurement
    Metrologia, 2004
    Co-Authors: R C Frazer, R Bicker, H Harary, Frank Hartig
    Abstract:

    The results from the first international comparison of profile and helix measurements between the national metrological institutes (NMIs) or their representatives of Germany, USA and UK are presented. The comparison was organized and coordinated by the UK National Gear Metrology Laboratory. The results from measurements on a 200 mm diameter helix master and a 200 mm diameter profile show that differences in slope error parameters are within the measurement uncertainty claimed by individual NMIs. The results should become the basis for the mutual acceptance of measurands for Gears, in the calibration measurement capability list of EUROMET.