Nonlinear contact dynamics admit an exact harmonic oscillator representation through energy-based coordinate transformation and time reparametrization, enabling a universal damping law and rigorous timestep stability bounds.
In the regularised virtual space (x, τ), the system is a linear harmonic oscillator with constant natural fre- quency Ω0 = p K/M
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Hidden Harmonic Structure, Universal Damping, and Stability Bounds in Nonlinear Contact Dynamics
Nonlinear contact dynamics admit an exact harmonic oscillator representation through energy-based coordinate transformation and time reparametrization, enabling a universal damping law and rigorous timestep stability bounds.