forced sinusoidal oscillation

synonyms: forced oscillation, sinusoidal oscillation
https://doi.org/10.1351/goldbook.12767
Deformation of a material by the application of a small sinusoidal strain (\(\gamma\)) such that \[\gamma = \gamma_{0} \cos \omega t\] where \(\gamma_{0}\) and \(\omega\) are positive constants.
Notes:
  1. \(\gamma\) may be in simple shear or uniaxial deformation.
  2. \(\gamma_{0}\) is the strain amplitude.
  3. \(\omega\) is the angular velocity of the circular motion equivalent to a sinusoidal frequency \(v\) with \(\omega = 2\uppi \nu\). The unit of \(\omega\) is \(\pu{rad s-1}\).
  4. For linear viscoelastic behaviour, a sinusoidal stress (\(\sigma\)) results from the sinusoidal strain with \(\sigma = \sigma_{0} \cos (\omega t + \delta) = \sigma_{0} \cos \delta \cos \omega t - \sigma_{0} \sin \delta \sin \omega t\).
Source:
PAC, 2013, 85, 1017. (Glossary of terms relating to thermal and thermomechanical properties of polymers (IUPAC Recommendations 2013)) on page 1027 [Terms] [Paper]