![]() ![]() Harmonic oscillators occurring in a number of areas of engineering are equivalent in the sense that their mathematical models are identical (see universal oscillator equation above). This effect is different from regular resonance because it exhibits the instability phenomenon. For small displacements, a pendulum is a. This text explores the conditions where a pendulum performs simple harmonic motion and derives an interesting expression for its period. Parametric excitation differs from forcing, since the action appears as a time varying modification on a system parameter. Examples include the pendulums that guide the movement of time on a clock, a child's swing, a wrecking ball, or even a sinker or weight at the end of a fishing line. ![]() Parametric resonance occurs in a mechanical system when a system is parametrically excited and oscillates at one of its resonant frequencies. ![]()
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