Understanding Key Loudspeaker Parameters(13): Mechanical Compliance (Cms) in Loudspeakers

Understanding Key Loudspeaker Parameters(13): Mechanical Compliance (Cms) in Loudspeakers

Published by IWISTAO

Mechanical Compliance (Cms) is one of the most important Thiele–Small parameters in loudspeaker engineering. Cms describes how easily the loudspeaker’s suspension system allows the cone to move. It has a profound influence on resonance frequency (fo), low-frequency extension, linear excursion, and enclosure requirements. If the moving mass (Mms) is the “weight,” Cms is the “spring,” and together they define the core of a driver's low-frequency behavior.

1. What Is Cms?

Cms represents the elasticity or flexibility of the loudspeaker’s suspension system, including:

• Surround
• Spider
• Bonding adhesives
• Air trapped under the dust cap

It is measured in meters per Newton (m/N), indicating how far the diaphragm moves per unit of applied force.

• High Cms → soft suspension → cone moves easily
• Low Cms → stiff suspension → cone resists movement

2. Relationship Between Cms and Stiffness (Kms)

Cms is the inverse of mechanical stiffness:

Kms = 1 / Cms

Thus:

• High Cms → low stiffness
• Low Cms → high stiffness

3. How Cms Affects Resonant Frequency (fo)

The speaker’s fundamental resonance frequency is determined by Cms and Mms:

fo = 1 / (2π × √(Mms × Cms))

• High Cms → low fo → deeper bass
• Low Cms → high fo → limited bass

 

4. Typical Cms Values

Driver Type	Typical Cms	Behavior
Small Full-Range	0.3–0.7 mm/N	Stiff for control
Midrange	0.5–1.0 mm/N	Balanced compliance
6.5″ Woofer	0.8–1.5 mm/N	Good LF performance
10–12″ Subwoofer	1.5–3.0 mm/N	Soft suspension for deep bass
15–18″ SPL Woofer	0.4–1.2 mm/N	Stiff for high power handling

5. How Cms Influences Loudspeaker Behavior

a. Low-Frequency Extension

High Cms drivers resonate at lower frequencies, producing deeper bass. Low Cms drivers have higher fo and are more suitable for midbass or professional applications.

b. Excursion and Air Displacement (Vd)

Soft suspensions allow greater cone travel but may reduce mechanical control at high power. Stiff suspensions offer better linearity and durability.

c. Efficiency and Sensitivity

High Cms can improve low-frequency sensitivity, while low Cms often reduces sensitivity but increases power handling.

d. Enclosure Volume (Vas)

Cms directly determines Vas (Equivalent Compliance Volume):

Vas = ρ × c² × Sd² × Cms

This means:

• High Cms → large Vas → requires bigger enclosures
• Low Cms → small Vas → works in compact boxes

e. Transient Response

• Low Cms: fast, tight, punchy
• High Cms: deeper, slower, more resonant

f. Distortion Control

Low Cms suspensions maintain better cone control at high excursion, reducing distortion. High Cms can increase non-linear behavior if the suspension lacks sufficient restoring force.

6. What Determines Cms?

a. Surround Material

• Foam → high Cms (soft)
• Rubber → medium-to-low Cms
• Accordion cloth → low Cms (very stiff)

b. Spider Design

• Light fabric → high Cms
• Stiffer, resin-filled spider → low Cms
• Dual spiders → reduce Cms, improve control

c. Cone Mass

Heavier cones often require higher Cms to achieve low fo.

d. Break-In Effect

Cms increases over time as the suspension loosens — usually 5–20% after 10–50 hours of operation.

7. Measuring Cms

Cms is calculated once fo and Mms are known:

Cms = 1 / ((2π × fo)² × Mms)

Measurement software such as DATS, ARTA, CLIO, and REW estimates Cms automatically.

8. Real-World Cms Examples

Driver	Cms	fo	Notes
3″ Full-Range	0.35 mm/N	110 Hz	Very stiff suspension
6.5″ Woofer	1.00 mm/N	55 Hz	Balanced low-end behavior
8″ Woofer	1.40 mm/N	38 Hz	Good bass extension
12″ Subwoofer	2.50 mm/N	26 Hz	High Cms for deep LF response
15″ SPL Driver	0.55 mm/N	40 Hz	Low Cms for extreme power handling

9. Choosing the Right Cms

High Cms (soft suspension) is ideal for:

• Subwoofers
• Deep bass extension
• Large vented enclosures
• Low-resonance designs

Medium Cms suits:

• Hi-Fi woofers
• Bass-reflex systems
• Balanced transient and LF response

Low Cms (stiff suspension) is recommended for:

• Pro audio woofers
• High-SPL systems
• Small sealed enclosures
• High-power durability

Conclusion

Mechanical Compliance (Cms) is a foundational parameter defining how freely a loudspeaker's cone moves under force. It influences resonance, low-frequency reach, distortion, transient response, and enclosure size. By carefully balancing Cms with Mms, Bl, and suspension design, engineers can achieve powerful, accurate, and reliable low-frequency performance in any speaker application.