Structural Dynamics
Natural Frequency Simulator
Analyze the structural dynamics of a spring-mass system. Observe free vibration frequency, time period, static deflection response, and angular frequency under adjustable structural parameters.
Model
SDOF Undamped
Free oscillation
Mesh
50 steps
Linear mass sweep
Output
CSV
Export ready
Parameters
System Scale Preset
Vibration simulation
Governing Equations
Angular Frequency
ωn = √(k / m) [rad/s]
Cyclic Natural Frequency
fn = ωn / (2π) [Hz]
Static Deflection
δst = m·g / k [mm]
Higher stiffness (k) increases the natural frequency.
Higher mass (m) lowers the natural frequency but increases the static deflection.
Oscillation Model
Natural Frequency
2.179Hz
Angular Frequency
13.69rad/s
Time Period
0.459s
Static Deflection
52.30mm
Frequency & Period vs Mass
Dynamics Dataset
| Mass m (kg) | Freq fn (Hz) | Period T (s) |
|---|---|---|
| 10 | 6.164 | 0.162 |
| 60 | 2.516 | 0.397 |
| 110 | 1.859 | 0.538 |
| 160 | 1.541 | 0.649 |
| 210 | 1.345 | 0.743 |
| 260 | 1.209 | 0.827 |
| 310 | 1.107 | 0.903 |
| 360 | 1.027 | 0.973 |
| 410 | 0.963 | 1.039 |
| 460 | 0.909 | 1.100 |