{
  "assumptions": {
    "base_input": "single half-sine acceleration pulse",
    "peak_input_g": 25.0,
    "pulse_durations_s": [
      0.02,
      0.05,
      0.1,
      0.25,
      0.5,
      1.0
    ],
    "natural_frequencies_hz": [
      1.0,
      3.0,
      10.0
    ],
    "damping_ratios": [
      0.1,
      0.5,
      1.0
    ],
    "relative_travel_limit_m": 0.25,
    "integration": "fixed-step fourth-order Runge-Kutta",
    "time_step_s": 0.0005,
    "simulation_end_s": 4.0,
    "input_reference": "rigidly mounted inert mass follows the base pulse (25 g peak)"
  },
  "mass_kg": 75,
  "equations": {
    "relative_motion": "x_ddot + 2*zeta*omega_n*x_dot + omega_n^2*x = -a_base(t)",
    "transmitted_acceleration": "a_abs = a_base + x_ddot = -2*zeta*omega_n*x_dot - omega_n^2*x",
    "spring": "k=m*omega_n^2",
    "damper": "c=2*zeta*m*omega_n"
  },
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  ],
  "scope": "Linear inert mass model. Numerical results only; no hardware or human safety validation."
}