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  2. Vibration - Wikipedia

    en.wikipedia.org/wiki/Vibration

    Vibration (from Latin vibrāre 'to shake') is a mechanical phenomenon whereby oscillations occur about an equilibrium point.Vibration may be deterministic if the oscillations can be characterised precisely (e.g. the periodic motion of a pendulum), or random if the oscillations can only be analysed statistically (e.g. the movement of a tire on a gravel road).

  3. Rayleigh's quotient in vibrations analysis - Wikipedia

    en.wikipedia.org/wiki/Rayleigh's_quotient_in...

    The Rayleigh's quotient represents a quick method to estimate the natural frequency of a multi-degree-of-freedom vibration system, in which the mass and the stiffness matrices are known.

  4. Natural frequency - Wikipedia

    en.wikipedia.org/wiki/Natural_frequency

    Natural frequency, measured in terms of eigenfrequency, is the rate at which an oscillatory system tends to oscillate in the absence of disturbance. A foundational example pertains to simple harmonic oscillators, such as an idealized spring with no energy loss wherein the system exhibits constant-amplitude oscillations with a constant frequency.

  5. Molecular vibration - Wikipedia

    en.wikipedia.org/wiki/Molecular_vibration

    A molecular vibration is a periodic motion of the atoms of a molecule relative to each other, such that the center of mass of the molecule remains unchanged. The typical vibrational frequencies range from less than 10 13 Hz to approximately 10 14 Hz, corresponding to wavenumbers of approximately 300 to 3000 cm −1 and wavelengths of approximately 30 to 3 μm.

  6. Transmissibility (vibration) - Wikipedia

    en.wikipedia.org/wiki/Transmissibility_(vibration)

    The transmissibility is used in calculation of passive hon efficiency. The lesser the transmissibility the better is the damping or the isolation system. T < 1 {\displaystyle T<1} is Desirable, T = 1 {\displaystyle T=1} acts as a rigid body, T > 1 {\displaystyle T>1} is Undesirable

  7. Chladni's law - Wikipedia

    en.wikipedia.org/wiki/Chladni's_law

    Chladni's law, named after Ernst Chladni, relates the frequency of modes of vibration for flat circular surfaces with fixed center as a function of the numbers m of diametric (linear) nodes and n of radial (circular) nodes. It is stated as the equation

  8. Critical speed - Wikipedia

    en.wikipedia.org/wiki/Critical_speed

    The first vibrational mode corresponds to the lowest natural frequency. Higher modes of vibration correspond to higher natural frequencies. Often when considering rotating shafts, only the first natural frequency is needed. There are two main methods used to calculate critical speed—the Rayleigh–Ritz method and Dunkerley's method. Both ...

  9. Vibration of plates - Wikipedia

    en.wikipedia.org/wiki/Vibration_of_plates

    Vibration mode of a clamped square plate. The vibration of plates is a special case of the more general problem of mechanical vibrations.The equations governing the motion of plates are simpler than those for general three-dimensional objects because one of the dimensions of a plate is much smaller than the other two.