Simulation data

This dataset contains the raw numerical data used to generate Figures 3, 4, and 5 of the manuscript “Exploring nonlinear wave mixing with a mass–spring simulator”. The data were produced using numerical simulations of a nonlinear mass-spring oscillator driven by one or two external periodic forces, performed with the SimuFísica simulator: https://simufisica.com/en/spring-mass/. Only the raw time-domain simulation outputs are provided. Each dataset consists of three columns: $t$: time $x(t)$: mass position $v(t)$: mass velocity Figure 3 corresponds to a nonlinear oscillator dominated by a quadratic restoring-force term $(k_2 \neq 0), (k_3 = 0)$ under a single external driving force. Parameters used in the simulations were: $m = 10$ kg $k = 90$ N/m $k_2 = 0.9$ N/m$^2$ $k_3 = 0$ $F_1 = 100$ N $\omega_1 = 4$ rad/s $F_2 = 0$. $\gamma = 1$ kg/2 Link: https://simufisica.com/95KQ3B Figure 4 corresponds to the same nonlinear system and parameters as Figure 3, except that the oscillator is driven at resonance, with $\omega_1 = \omega_0 = 3$ rad/s. $m = 10$ kg $k = 90$ N/m $k_2 = 0.9$ N/m$^2$ $k_3 = 0$ $F_1 = 100$ N $\omega_1 = 3$ rad/s $F_2 = 0$. $\gamma = 1$ kg/2 Link: https://simufisica.com/8PI2fF Figure 5 corresponds to a nonlinear oscillator dominated by a cubic restoring-force term $(k_2 = 0)$, $(k_3 \neq 0)$ under simultaneous excitation by two external periodic forces. Parameters used in the simulations were: $m = 10$ kg $k = 90$ N/m $k_2 = 0$ $k_3 = 0.9$ N/m$^3$ $F_1 = 50$ N $F_2 = 50$ N $\omega_1 = 2.9$ rad/s $\omega_2 = 3.1$ rad/s $\gamma = 1$ kg/2 Link: https://simufisica.com/9DmLd4 The numerical integrations were performed using a fourth-order Runge–Kutta algorithm implemented in the SimuFísica Spring–Mass System simulator. The initial conditions, used in the three figures, were $x(0) = v(0) = 0$.