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  2. Damping - Wikipedia

    en.wikipedia.org/wiki/Damping

    The damping ratio provides a mathematical means of expressing the level of damping in a system relative to critical damping. For a damped harmonic oscillator with mass m , damping coefficient c , and spring constant k , it can be defined as the ratio of the damping coefficient in the system's differential equation to the critical damping ...

  3. Logarithmic decrement - Wikipedia

    en.wikipedia.org/wiki/Logarithmic_decrement

    The logarithmic decrement can be obtained e.g. as ln(x 1 /x 3).Logarithmic decrement, , is used to find the damping ratio of an underdamped system in the time domain.. The method of logarithmic decrement becomes less and less precise as the damping ratio increases past about 0.5; it does not apply at all for a damping ratio greater than 1.0 because the system is overdamped.

  4. Q factor - Wikipedia

    en.wikipedia.org/wiki/Q_factor

    The Q factor is a parameter that describes the resonance behavior of an underdamped harmonic oscillator (resonator). Sinusoidally driven resonators having higher Q factors resonate with greater amplitudes (at the resonant frequency) but have a smaller range of frequencies around that frequency for which they resonate; the range of frequencies for which the oscillator resonates is called the ...

  5. Settling time - Wikipedia

    en.wikipedia.org/wiki/Settling_time

    The settling time for a second order, underdamped system responding to a step response can be approximated if the damping ratio by = ⁡ () A general form is T s = − ln ⁡ ( tolerance fraction × 1 − ζ 2 ) damping ratio × natural freq {\displaystyle T_{s}=-{\frac {\ln({\text{tolerance fraction}}\times {\sqrt {1-\zeta ^{2}}})}{{\text ...

  6. Shock response spectrum - Wikipedia

    en.wikipedia.org/wiki/Shock_response_spectrum

    Calculate (by direct time-domain simulation) the maximum instantaneous absolute acceleration experienced by the mass element of your SDOF at any time during (or after) exposure to the shock in question. This acceleration is a; Draw a dot at (f,a); Repeat steps 2–4 for many other values of f, and connect all the dots together into a smooth curve.

  7. Prony's method - Wikipedia

    en.wikipedia.org/wiki/Prony's_method

    Let () be a signal consisting of evenly spaced samples. Prony's method fits a function ^ = = ⁡ (+) to the observed ().After some manipulation utilizing Euler's formula, the following result is obtained, which allows more direct computation of terms:

  8. Impulse excitation technique - Wikipedia

    en.wikipedia.org/wiki/Impulse_excitation_technique

    Material damping or internal friction is characterized by the decay of the vibration amplitude of the sample in free vibration as the logarithmic decrement. The damping behaviour originates from anelastic processes occurring in a strained solid i.e. thermoelastic damping, magnetic damping, viscous damping, defect damping, ...

  9. Damping capacity - Wikipedia

    en.wikipedia.org/wiki/Damping_capacity

    Damping capacity is a mechanical property of materials that measure a material's ability to dissipate elastic strain energy during mechanical vibration or wave propagation. When ranked according to damping capacity, materials may be roughly categorized as either high- or low-damping.