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  2. Harmonic oscillator - Wikipedia

    en.wikipedia.org/wiki/Harmonic_oscillator

    Mechanical examples include pendulums (with small angles of displacement), masses connected to springs, and acoustical systems. Other analogous systems include electrical harmonic oscillators such as RLC circuits. The harmonic oscillator model is very important in physics, because any mass subject to a force in stable equilibrium acts as a ...

  3. Harmonic series (music) - Wikipedia

    en.wikipedia.org/wiki/Harmonic_series_(music)

    A harmonic is any member of the harmonic series, an ideal set of frequencies that are positive integer multiples of a common fundamental frequency. The fundamental is a harmonic because it is one times itself. A harmonic partial is any real partial component of a complex tone that matches (or nearly matches) an ideal harmonic. [3]

  4. Complex harmonic motion - Wikipedia

    en.wikipedia.org/wiki/Complex_harmonic_motion

    In physics, complex harmonic motion is a complicated realm based on the simple harmonic motion.The word "complex" refers to different situations. Unlike simple harmonic motion, which is regardless of air resistance, friction, etc., complex harmonic motion often has additional forces to dissipate the initial energy and lessen the speed and amplitude of an oscillation until the energy of the ...

  5. Harmonic - Wikipedia

    en.wikipedia.org/wiki/Harmonic

    In physics, acoustics, and telecommunications, a harmonic is a sinusoidal wave with a frequency that is a positive integer multiple of the fundamental frequency of a periodic signal. The fundamental frequency is also called the 1st harmonic; the other harmonics are known as higher harmonics.

  6. Anharmonicity - Wikipedia

    en.wikipedia.org/wiki/Anharmonicity

    An example of the effects of anharmonicity is the thermal expansion of solids, which is usually studied within the quasi-harmonic approximation. Studying vibrating anharmonic systems using quantum mechanics is a computationally demanding task because anharmonicity not only makes the potential experienced by each oscillator more complicated, but ...

  7. Rotational–vibrational coupling - Wikipedia

    en.wikipedia.org/wiki/Rotational–vibrational...

    The motion of the circling masses mapped in a coordinate system that is rotating at a constant angular velocity Harmonic oscillation the restoring force is proportional to the distance from the center. The animation on the right provides a clearer view on the oscillation of the angular velocity. There is a close analogy with harmonic oscillation.

  8. Method of averaging - Wikipedia

    en.wikipedia.org/wiki/Method_of_averaging

    The following example in order to discourage this hurried averaging: [2] ¨ + ⁡ ˙ + =, =, ˙ =, where we put (, ˙,) = ⁡ ˙ following the previous notation. This systems corresponds to a damped harmonic oscillator where the damping term oscillates between 0 {\displaystyle 0} and 4 ε {\displaystyle 4\varepsilon } .

  9. 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.

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