Vibration transfer efficiency or vibration response

Martin G.F.

9/4/20261 min read

This depends on Acoustic Impedance (Z), which is the product of the medium's density (ρ) and the speed of sound within that medium (c): Z=ρ⋅c

When vibration travels from one medium to another (e.g., from air to the human body), the percentage of transmitted energy is affected by the impedance mismatch.

1. Energy Transmission Percentages

Origin: Air (Gas), destination: Tissue/Water, reflection: ≈99.9%, transmission: ≈0.1%

Origin: Water (Liquid), destination: Tissue/Muscle, reflection: ≈0.1%, transmission: ≈99.9%

Origin: Solid (direct contact), destination: Bone/Tissue, reflection: Varies by density, transmission: 95%−100%

2. Propagation Speed ​​and Conductivity

The vibration response is faster and more efficient the denser and more tightly bound the medium's molecules are:

* Solids (Steel/Bone): ≈5000 m/s. Solids act as near-perfect conductors for mechanical vibration. Dissipation loss is minimal over short distances.

* Liquids (Water/Blood): ≈1500 m/s. Since the human body is over 70% liquid, it responds hydrodynamically. Vibration in liquids generates pressure waves that affect cellular permeability (mechanotransduction).

* Gases (Air): ≈343 m/s. Air acts as an elastic insulator. Most energy is lost when attempting to "push" a dense medium (such as the body) from a lightweight medium.

3. Reflection Coefficient (R)

To calculate the exact loss between two media, the intensity reflection coefficient formula is used: R = ((Z2 - Z1) / (Z2 + Z1))²

Where:

* Z1 is the impedance of air (≈400 Rayls).

* Z2 is the impedance of water/tissue (≈1,500,000 Rayls).

Since Z2 ≫ Z1, the value of R is close to 1 (100% reflection); this explains why airborne vibration (sound) is perceived primarily by the auditory system, whereas vibration in solids or liquids is perceived by the somatosensory system (tactile and proprioceptive receptors).

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