⚡ Torsional Vibration Lab

Calculate torsional stiffness ($k_t = \frac{GJ}{L}$), natural angular frequencies ($\omega_n = \sqrt{k_t/I}$), and critical whirling RPM. Analyze engine harmonic orders ($1\times, 2\times, 3\times, 4\times$) on a Campbell interference diagram.

Shaft Diameter ($d$) mm (5 cm)

Shaft Length ($L$) Meters

Rotor Inertia ($I_d$) kg·m²

Shaft Material ($G$)

Campbell Diagram: Critical speeds occur where harmonic rays (1×, 2×, 3×, 4×) cross natural frequency

Torsional Natural Freq ($f_n$)

57.1 Hz

358.8 rad/s

Fundamental 1× Critical Speed

3,426 RPM

$N_{crit} = 60 \cdot f_n$

Torsional Stiffness ($k_t$)

32.2 kN·m/rad

$GJ/L$ Polar resistance

4-Cyl 2nd Order Danger ($2\times$)

1,713 RPM

Harmonic resonance point