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  2. Critical speed - Wikipedia

    en.wikipedia.org/wiki/Critical_speed

    Both calculate an approximation of the first natural frequency of vibration, which is assumed to be nearly equal to the critical speed of rotation. The Rayleigh–Ritz method is discussed here. For a shaft that is divided into n segments, the first natural frequency for a given beam, in rad/s , can be approximated as:

  3. Leadscrew - Wikipedia

    en.wikipedia.org/wiki/Leadscrew

    The running speed for a leadscrew (or ball screw) is typically limited to, at most, 80% of the calculated critical speed. The critical speed is the speed that excites the natural frequency of the screw. For a steel leadscrew or steel ballscrew, the critical speed is approximately [18] = where = critical speed in RPM

  4. Ball screw - Wikipedia

    en.wikipedia.org/wiki/Ball_screw

    The ball screw was invented independently by H.M. Stevenson and D. Glenn who were issued in 1898 patents 601,451 and 610,044 respectively. Early precise screwshafts were produced by starting with a low-precision screwshaft, and then lapping the shaft with several spring-loaded nut laps [citation needed].

  5. Screw theory - Wikipedia

    en.wikipedia.org/wiki/Screw_theory

    Screw theory is the algebraic calculation of pairs of vectors, also known as dual vectors [1] – such as angular and linear velocity, or forces and moments – that arise in the kinematics and dynamics of rigid bodies.

  6. Rotordynamics - Wikipedia

    en.wikipedia.org/wiki/Rotordynamics

    The critical speed of a rotating machine occurs when the rotational speed matches its natural frequency. The lowest speed at which the natural frequency is first encountered is called the first critical speed, but as the speed increases, additional critical speeds are seen which are the multiples of the natural frequency.

  7. Dunkerley's method - Wikipedia

    en.wikipedia.org/wiki/Dunkerley's_Method

    Dunkerley's method [1] [2] is used in mechanical engineering to determine the critical speed of a shaft-rotor system. Other methods include the Rayleigh–Ritz method . Whirling of a shaft

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  9. Backlash (engineering) - Wikipedia

    en.wikipedia.org/wiki/Backlash_(engineering)

    In mechanical engineering, backlash, sometimes called lash, play, or slop, is a clearance or lost motion in a mechanism caused by gaps between the parts. It can be defined as "the maximum distance or angle through which any part of a mechanical system may be moved in one direction without applying appreciable force or motion to the next part in mechanical sequence."

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