Vibration Engineering
Transmissibility Simulator
Evaluate vibration isolation effectiveness with an animated frequency sweep, live spring-mass-damper diagram, transmissibility curve, governing equations, and exportable frequency data.
Model
SDOF isolator
Viscous damping
Mesh
81 pts
Frequency sweep
Output
CSV
Export ready
Parameters
Damping preset
Animated frequency sweep
Governing Equations
Transmissibility
Tr = √[(1+(2ζr)²) / ((1−r²)²+(2ζr)²)]
Isolation boundary
Tr < 1 when r > √2 (for all ζ)
Phase angle
φ = arctan(2ζr / (1 − r²))
Current Tr = 0.8122 at r = 1.50, ζ = 0.10.
System is isolating 18.8% of the excitation force.
Spring-Mass-Damper System
Transmissibility
0.8122Tr
Isolation
18.8%
Freq Ratio
1.500r
Phase Angle
166.5°
Transmissibility Curve
Frequency Sweep Data
| Freq Ratio (r) | Transmissibility |
|---|---|
| 0.00 | 1.0000 |
| 0.20 | 1.0416 |
| 0.40 | 1.1889 |
| 0.60 | 1.5468 |
| 0.80 | 2.5707 |
| 1.00 | 5.0990 |
| 1.20 | 2.0519 |
| 1.40 | 1.0385 |
| 1.60 | 0.6593 |
| 1.80 | 0.4685 |
| 2.00 | 0.3559 |
| 2.20 | 0.2827 |
| 2.40 | 0.2319 |
| 2.60 | 0.1949 |
| 2.80 | 0.1670 |
| 3.00 | 0.1454 |
| 3.20 | 0.1282 |
| 3.40 | 0.1143 |
| 3.60 | 0.1028 |
| 3.80 | 0.0933 |
| 4.00 | 0.0853 |