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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. 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. ... (RPM) equivalent as follows:

  4. Engine balance - Wikipedia

    en.wikipedia.org/wiki/Engine_balance

    The critical speed. This was defined as the speed at which the unbalanced reciprocating parts reversed the pull of the locomotive. At higher speeds this motion was damped by throttling oil flow in dashpots. The critical speed varied from 95 RPM for a Baldwin tandem compound to over 310 RPM for a Cole compound Atlantic.

  5. Piston motion equations - Wikipedia

    en.wikipedia.org/wiki/Piston_motion_equations

    The reciprocating motion of a non-offset piston connected to a rotating crank through a connecting rod (as would be found in internal combustion engines) can be expressed by equations of motion. This article shows how these equations of motion can be derived using calculus as functions of angle (angle domain) and of time (time domain).

  6. Mean piston speed - Wikipedia

    en.wikipedia.org/wiki/Mean_piston_speed

    For example, a piston in an automobile engine which has a stroke of 90 mm will have a mean speed at 3000 rpm of 2 * (90 / 1000) * 3000 / 60 = 9 m/s. The 5.2-liter V10 that debuted in the 2009 Audi R8 has the highest mean piston speed for any production car (26.9 m/s) thanks to its 92.8 mm stroke and 8700-rpm redline. [1]

  7. Mean effective pressure - Wikipedia

    en.wikipedia.org/wiki/Mean_effective_pressure

    As piston engines usually have their maximum torque at a lower rotating speed than the maximum power output, the BMEP is lower at full power (at higher rotating speed). If the same engine is rated 72 kW at 5400 min −1 = 90 s −1 , and its BMEP is 0.80 MPa, we get the following equation:

  8. Revolutions per minute - Wikipedia

    en.wikipedia.org/wiki/Revolutions_per_minute

    Modern automobile engines are typically operated around 2000 rpm – 3000 rpm (33 Hz – 50 Hz) when cruising, with a minimum (idle) speed around 750 rpm – 900 rpm (12.5 Hz – 15 Hz), and an upper limit anywhere from 4500 rpm to up to 10 000 rpm (75 Hz – 166 Hz) for a road car, very rarely reaching up to 12 000 rpm for certain cars (such ...

  9. Rotordynamics - Wikipedia

    en.wikipedia.org/wiki/Rotordynamics

    Rotordynamics (or rotor dynamics) is a specialized branch of applied mechanics concerned with the behavior and diagnosis of rotating structures. It is commonly used to analyze the behavior of structures ranging from jet engines and steam turbines to auto engines and computer disk storage.