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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 coefficient:

  3. Temperature dependence of viscosity - Wikipedia

    en.wikipedia.org/wiki/Temperature_dependence_of...

    Increasing temperature results in a decrease in viscosity because a larger temperature means particles have greater thermal energy and are more easily able to overcome the attractive forces binding them together. An everyday example of this viscosity decrease is cooking oil moving more fluidly in a hot frying pan than in a cold one.

  4. Q factor - Wikipedia

    en.wikipedia.org/wiki/Q_factor

    For a single damped mass-spring system, the Q factor represents the effect of simplified viscous damping or drag, where the damping force or drag force is proportional to velocity. The formula for the Q factor is: Q = M k D , {\displaystyle Q={\frac {\sqrt {Mk}}{D}},\,} where M is the mass, k is the spring constant, and D is the damping ...

  5. Viscous damping - Wikipedia

    en.wikipedia.org/wiki/Viscous_damping

    Viscous damping also refers to damping devices. Most often they damp motion by providing a force or torque opposing motion proportional to the velocity. This may be affected by fluid flow or motion of magnetic structures. The intended effect is to improve the damping ratio. Shock absorbers in cars; Seismic retrofitting with viscous dampers [2]

  6. List of dimensionless quantities - Wikipedia

    en.wikipedia.org/wiki/List_of_dimensionless...

    energy efficiency, economics (ratio of energy input to kinetic motion) Damping ratio = mechanics, electrical engineering (the level of damping in a system) Decibel: dB: acoustics, electronics, control theory (ratio of two intensities or powers of a wave) Elasticity : E

  7. Harmonic oscillator - Wikipedia

    en.wikipedia.org/wiki/Harmonic_oscillator

    = is called the "damping ratio". Step response of a damped harmonic oscillator; curves are plotted for three values of μ = ω 1 = ω 0 √ 1 − ζ 2. Time is in units of the decay time τ = 1/(ζω 0). The value of the damping ratio ζ critically determines the behavior of the system. A damped harmonic oscillator can be:

  8. 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 ...

  9. RLC circuit - Wikipedia

    en.wikipedia.org/wiki/RLC_circuit

    The coefficients A 1 and A 2 are determined by the boundary conditions of the specific problem being analysed. That is, they are set by the values of the currents and voltages in the circuit at the onset of the transient and the presumed value they will settle to after infinite time. [ 8 ]