Mass, stiffness, and friction each resist a distinct kinematic quantity
Evidence
The impedance will depend on the frequency of this forcing. If the period (time interval between repetition of the periodic force) of the forcing is very short (high frequency), then the force is changing suddenly; not much movement of the object takes place because such a short time elapses between reversals of the force. The impedance will tend to be mass dominated. If the frequency is low and the forcing period is very long, then the force is being applied slowly; the impedance will tend to be stiffness dominated. — Eric J. Heller, Why You Hear What You Hear- An…, 87 (
#expands, via linked claim)
If the force is applied slowly, acceleration is weak. The force is then usually governed by compressibility or springiness, which therefore gives stiffness-dominated impedance. If a force is applied suddenly, the object hardly has time to move and sense its stiffness, but the mass of the object is felt immediately; the impedance is mass dominated. — Eric J. Heller, Why You Hear What You Hear- An…, 86 (
#expands, via linked claim)
Categorization
- XREF: connects to: Friction acts like rent proportional to the energy an oscillator stores; Impedance equals applied force divided by attained velocity; Instrument stiffness versus tension determines how widely its modes are spaced (+3 more)
Related
- Slow forcing gives stiffness-dominated impedance; sudden forcing gives mass-dominated impedance (similarity 0.90)
- Mass, stiffness, and friction each dominate different frequency ranges (similarity 0.89)
- Mass dominates impedance at high frequencies, stiffness at low frequencies (similarity 0.88)
- Impedance equals applied force divided by attained velocity (similarity 0.83)
- Impedance rests on mass, stiffness, and friction as the three universal properties of matter (similarity 0.82)
- All acoustic impedances are ratios of force to velocity (similarity 0.82)
- High-frequency forcing is resisted by mass while low-frequency forcing is resisted by spring stiffness (similarity 0.81)
- Impedance is force divided by velocity and measures a body’s response to force. (similarity 0.81)
- Velocity response is the convenient quantity for impulse power (similarity 0.80)
- Instrument stiffness versus tension determines how widely its modes are spaced (similarity 0.78)
Broader Connections
- Impedance equals applied force divided by attained velocity
#expands(0.75) - Mass dominates impedance at high frequencies, stiffness at low frequencies
#expands(0.75) — Eric J. Heller, Why You Hear What You Hear- An…, 87 - Instrument stiffness versus tension determines how widely its modes are spaced
#exemplifies(0.72) - Slow forcing gives stiffness-dominated impedance; sudden forcing gives mass-dominated impedance
#expands(0.72) — Eric J. Heller, Why You Hear What You Hear- An…, 86 - Medium inertia produces a time lag in disturbance propagation through a material
#expands(0.72)