12 citations · 27 across the 28 of their papers we have counts for
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Beyond the Linear Damping Model for Mechanical Harmonic Oscillators
Randall D. Peters
The steady state motion of a folded pendulum has been studied using frequencies of drive that are mainly below the natural (resonance) frequency of the instrument. Although the fre…
Harmonic Oscillator Potential to describe Internal Dissipation
Randall D. Peters
Assuming that a constant potential energy function has meaning for a dissipated harmonic oscillator, then an important issue is the time dependence of the turning points. Turning p…
Intuitive Derivation of Reynolds Number
Randall D. Peters, Loren Sumner
It is evident from the literature that many engineers describe the Reynolds number qualitatively as ``the ratio of inertial forces to viscous forces''. Yet it is not immediately ob…
Ruchhardt Oscillator Decay- Thermodynamic basis for Hysteretic Damping
Randall D. Peters
Using thermodynamic arguments based on the ideal gas law, it is shown that hysteretic (also called structural) damping is the natural form of energy dissipation for this classic os…
Nonlinear Damping of the 'Linear' Pendulum
Randall D. Peters
This study shows that typical pendulum dynamics is far from the simple equation of motion presented in textbooks. A reasonably complete damping model must use nonlinear terms in ad…
Anisotropic Internal Friction Damping
Randall D. Peters
The mechanical damping properties of sheet polaroid material have been studied with a physical pendulum. The polaroid samples were placed under the knife-edges of the pendulum, whi…