Every mechanical floor in a tower sits directly above somebody's bedroom and directly below somebody's boardroom. The plant on it runs continuously, is bolted to a structure specifically engineered to be light and flexible, and radiates into a building where sound travels through concrete far better than through air. Yet vibration isolation is routinely specified as a line item — "spring isolators, 25 mm deflection" — copied between projects without anybody checking the one number that decides whether it works at all. And when it is wrong the result is not slightly worse: below a critical ratio, an isolator does not reduce transmission, it amplifies it. A 6 mm rubber pad under a 600 rpm machine delivers 29 % isolation; under a slower machine it makes things worse than a rigid mount.

1 · Why towers are acoustically unforgiving

2 · The one equation that decides everything

A machine on isolators is a mass on a spring. Its natural frequency depends only on how far the isolator deflects under the load:

\[ f_n \;=\; \frac{15.76}{\sqrt{\delta}} \quad(\text{Hz},\ \delta\ \text{in mm}), \qquad T \;=\; \frac{1}{\left|(f/f_n)^2 - 1\right|} \]

where \(T\) is transmissibility — the fraction of the disturbing force that reaches the structure — and \(f\) is the disturbing frequency, usually the running speed. The behaviour has three regions, and only one of them is useful:

The specification that guarantees failure Specifying an isolator by type — "neoprene pads" or "spring mounts" — instead of by static deflection is the single most common error in this field, because deflection is the only property in the equation. A 6 mm neoprene pad has a natural frequency of 6.4 Hz, so it needs the machine to run above 9.1 Hz (546 rpm) just to isolate at all, and provides only 29 % isolation at 600 rpm. The same pad under a 300 rpm cooling tower gearbox sits near resonance and makes the problem worse. Always specify the minimum static deflection, and always check it against the lowest speed the machine will run at — which, on a variable-speed drive, is not the nameplate speed.

3 · Interactive: isolation efficiency vs static deflection

Set the machine speed and the isolator deflection. The curve is the fraction of vibration transmitted into the structure; the peak on the left is resonance. Note where variable-speed operation puts you — a machine isolated correctly at 1,450 rpm may be sitting on the resonant peak at 30 % speed.

Vibration transmissibility vs isolator static deflection
fn = 15.76/√δ with δ in mm. T = √(1+(2ζr)²) ⁄ √((1−r²)²+(2ζr)²), with r = f/fn and ζ the damping ratio. Isolation efficiency = (1 − T). The shaded band is the deflection range in which the turndown speed sits below f/fn = √2 — amplification, not isolation.
Disturbing frequency = speed ÷ 60. Use the lowest speed a VFD will hold.
The only isolator property that matters. Springs 25–75 mm; neoprene 5–10 mm.
Steel springs ≈ 0.02–0.05; neoprene ≈ 0.08–0.12. Damping limits the resonant peak but slightly worsens isolation.
Minimum VFD speed — checks the isolator at the machine's slowest running point.
Natural frequency
3.15 Hz
Frequency ratio
7.67
Isolation
97.8 %
At turndown
87.6 %
Verdict

A 1,450 rpm pump on 25 mm springs gives 97.8 % isolation — a frequency ratio of 7.7, comfortably clear of resonance. Drop the deflection to 6 mm and it falls to 91.9 %; that sounds close, but the transmitted force has nearly quadrupled. Now drag the machine speed down to 400 rpm on the same 6 mm pad and the ratio falls below √2 — the mount amplifies. This is exactly what happens to a variable-speed machine at low turndown, and it is why the isolator must be selected for the slowest speed the drive will hold, not the nameplate.

4 · Flanking paths — where the isolation actually leaks

A perfectly isolated machine still transmits if anything rigid connects it to the structure. In order of how often they are the cause:

Flexible connectors deserve a warning of their own: they are for vibration, never for correcting misalignment, and a connector installed in tension or offset transmits more than the rigid pipe it replaced.

5 · Interactive: plant-room level and the partition you need

Equipment sound power sets the level inside the plant room; the room's absorption modifies it; and the difference between that and the target next door is the transmission loss the separating construction must deliver.

Plant-room sound pressure and required partition performance
Lp = Lw + 10·log₁₀(Q/4πr² + 4/R), R = Sα/(1−α). Required TL = Lp,source − Lp,target + 10·log₁₀(Swall/Aroom).
Lw of the machine. A large chiller or fan can exceed 105 dB.
Bare concrete ≈ 0.03–0.05; acoustically lined ≈ 0.25–0.40.
Total internal surface of the plant room.
NR 25 residential/hotel bedroom, NR 35 office, NR 40 circulation.
Level at 3 m
86.2 dB
Reverberant level
85.6 dB
Required TL
55 dB
If lined (α 0.35)
50 dB
Construction

A 95 dB machine in a lightly absorbent plant room produces about 86 dB, and separating that from an NR 30 space needs roughly 55 dB of transmission loss — beyond a single blockwork wall and firmly into double-leaf or heavy composite territory. Line the plant room to α = 0.35 and the requirement drops by about 6 dB, which is often the difference between a buildable partition and an impossible one. Absorption inside the plant room is almost always cheaper than transmission loss in the wall, and it is the first move to make — but note that it does nothing at all for structure-borne transmission, which is the isolator's job.

6 · Interactive: variable speed as a noise control measure

Slowing a fan or pump reduces its sound power steeply — roughly 50·log₁₀ of the speed ratio for a fan. This is the most under-used acoustic tool in a building, because it costs nothing once the drive is there.

Sound power and shaft power vs speed
ΔLw ≈ 50·log₁₀(N/N₀) for a fan (55 for some pump types); shaft power follows the cube law. Both fall together, which is why part-speed operation is quiet as well as cheap.
Manufacturer’s Lw at design duty.
Typical part-load operating point.
50 for most fans, 55 for some centrifugal pumps.
To show the energy saving alongside.
Sound power now
84.3 dB
Reduction
7.7 dB
Shaft power
26 kW
Power saved
66 %
Perceived

Running a fan at 70 % speed drops its sound power by 7.7 dB — close to halving the perceived loudness — while cutting shaft power by 66 %. That is a free acoustic result, and it argues strongly for selecting fans and pumps that will spend their lives at part speed rather than selecting tight to the duty and running them flat out. It also argues for oversizing the duct rather than the fan: lower velocity means less regenerated noise at every bend, damper and terminal, and regenerated noise is the one source a silencer cannot fix because it is created downstream of it.

7 · Installation & execution tricks

8 · The design & installation checklist

The one-line summary Vibration isolation is governed by one ratio — the disturbing frequency over the mount's natural frequency — and below √2 the isolator amplifies rather than isolates. Specify static deflection, never isolator type, and check it at the slowest speed a variable-speed machine will hold, because that is where a mount selected at nameplate speed sits on the resonant peak. Then remember that the isolators are usually not the failure: the failure is a rigidly clamped riser, a grout bridge under an inertia base, or a mortar fire-stop acting as a sound bridge — so design every flanking path, line the plant room before thickening the wall, and inspect the deflections under load before the ceiling goes up.

References & standards

  1. ASHRAE Handbook — HVAC Applications, Noise and Vibration Control chapter — transmissibility, isolator selection tables, plant room treatment and flanking paths.
  2. CIBSE Guide B4 — Noise and Vibration Control for Building Services Systems; and CIBSE Guide A for indoor design criteria.
  3. Institute of Acoustics / ANC guidance on building services noise, and BS 8233 Guidance on sound insulation and noise reduction for buildings.
  4. ISO 1996 and ISO 3382 series — measurement of environmental and room acoustic parameters; ISO 717 for airborne sound insulation rating.
  5. ASHRAE Design Guide for Tall, Supertall, and Megatall Building Systems, 2nd ed. — plant location and acoustic separation on mechanical floors.
  6. AMCA 300 / ISO 3744 — fan sound power determination; and Eurovent guidance on equipment sound data.
  7. SMACNA Seismic Restraint Manual — restraint and snubber arrangements compatible with vibration isolation.
  8. Beranek, L.L. & Vér, I.L. Noise and Vibration Control Engineering — theory of isolation, structure-borne transmission and room acoustics.
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