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    Law of Gearing

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    Goutam Acharjee
    The law of gearing states that for gear teeth to remain in contact as the gears mesh and rotate, the components of the velocities of points on the gear wheels along their common normal must be equal. This ensures the angular velocity ratio between meshing gears remains constant. Profiles that can satisfy the law of gearing include involute, cycloidal, and circular arc profiles, with the involute profile becoming most widely used due to manufacturing advantages over other profiles.

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    Law of Gearing

    Uploaded by

    Goutam Acharjee
    166 views4 pages
    The law of gearing states that for gear teeth to remain in contact as the gears mesh and rotate, the components of the velocities of points on the gear wheels along their common normal must be equal. This ensures the angular velocity ratio between meshing gears remains constant. Profiles that can satisfy the law of gearing include involute, cycloidal, and circular arc profiles, with the involute profile becoming most widely used due to manufacturing advantages over other profiles.

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    The law of gearing states that for gear teeth to remain in contact as the gears mesh and rotate, the components of the velocities of points on the gear wheels along their common normal must be equal. This ensures the angular velocity ratio between meshing gears remains constant. Profiles that can satisfy the law of gearing include involute, cycloidal, and circular arc profiles, with the involute profile becoming most widely used due to manufacturing advantages over other profiles.

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd
    Download as pdf or txt
    166 views4 pages

    Law of Gearing

    Uploaded by

    Goutam Acharjee
    The law of gearing states that for gear teeth to remain in contact as the gears mesh and rotate, the components of the velocities of points on the gear wheels along their common normal must be equal. This ensures the angular velocity ratio between meshing gears remains constant. Profiles that can satisfy the law of gearing include involute, cycloidal, and circular arc profiles, with the involute profile becoming most widely used due to manufacturing advantages over other profiles.

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd
    Download as pdf or txt
    of 4

    LAW OF GEARING

    Let v1 and v2 be the velocities of the point


    Q on the wheels 1 and 2 respectively. If
    the teeth are
    to remain in contact, then the
    components of these velocities
    along the common normal MN must be
    equal.
    “In order to maintain constant angular velocity ratio between two
    meshing gears, the common normal of the tooth profiles, at all contact
    points with in mesh, must always pass through a fixed point on the line
    of centers, called pitch point. “
    “The fundamental law of gearing states that the angular velocity ratio
    between the gears of a gear set must remain constant throughout the
    mesh. This amounts to the following relationship:

    where the terminology for the above is as follows :

    D1 and D2 are pitch circle diameters of wheel 1 and 2 having


    teeth T1 and T2 respectively.
    PROFILES SATISFYING LAW OF GEARS
    Profiles which can satisfy the law of gearing are :
    (a) involute (b) cycloidal and (c) circular arc or Novikov

    Among these, cycloidal was the first to be evolved. This is followed by


    the invention of involute profile which replaced many of the other
    profiles due to several technological advantages.

    Circular arc or Novikov profile has some advantages over the other
    profiles. But due to manufacturing difficulties, it did not become
    popular. However with powder metallurgy process it is slowly getting
    into industry now for specific application .

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