ACOUSTICS & VIBRATIONS

simple harmonic vibration

describes the periodic displacement of a linear undamped oscillator.

x(t)=Acos⁡(ωt+ϕ)x(t)=A\cos(\omega t+\phi)

symbols, variables and units

x,A:m;ω:rad/s;t:s;φ:rad。

applicable conditions and boundaries

Linear restoring force, no damping and no external drive; the initial phase is determined by the initial value.

formula source code

The following is a copyable LaTeX expression.

x(t)=A\cos(\omega t+\phi)

Reference and Extended Learning

OpenStax · University Physics Volume 1, Sound ↗

is organized according to model definition and assumptions. Please check actual conditions and original literature before engineering, research and clinical use.

harmonic oscillationvibration

Same subject formula

Go to Free Science Tool Library ↗