Velocity response is the convenient quantity for impulse power

Evidence

Resonance for an oscillator corresponds to alignment (in-phase condition) of force and velocity. But force causes acceleration, which increases the velocity, so resonance corresponds to constructive addition of velocity to preexisting velocity. This applies universally, to a single oscillator, a complex structure such as a string, a membrane, a plate, a solid, and even to air. — Eric J. Heller, Why You Hear What You Hear- An…, 1012 (#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 (#qualifies, via linked claim)

Categorization

• XREF: connects to: Impulse velocity response serves as a ready-made autocorrelation; Impedance equals applied force divided by attained velocity; Resonance is universal constructive addition of force-driven velocity — Eric J. Heller, Why You Hear What You Hear- An…, 1012 (+2 more)

Related

• Resonance is universal constructive addition of force-driven velocity (similarity 0.86)
• Force and acceleration are in phase yet work requires force and velocity in phase (similarity 0.85)
• Impedance equals applied force divided by attained velocity (similarity 0.85)
• Slow forcing gives stiffness-dominated impedance; sudden forcing gives mass-dominated impedance (similarity 0.84)
• Impedance is the ratio of force to velocity (similarity 0.84)
• Velocity, not displacement, is the convenient quantity for impulse analysis (similarity 0.84)
• Impedance is force divided by velocity and measures a body’s response to force. (similarity 0.83)
• Resonance lowers impedance dramatically at an oscillator’s natural frequency (similarity 0.83)
• All acoustic impedances are ratios of force to velocity (similarity 0.82)
• Vortex shedding causes violent oscillation through cooperative lockin resonance (similarity 0.82)
• Resonance occurs where impedance vanishes, yielding huge response (similarity 0.82)
• Resonance occurs when the driving force and velocity align in phase (similarity 0.82)
• Resonance is one universal phenomenon across all wave types involving structure, drive, and phase (similarity 0.80)
• Mass, stiffness, and friction each resist a distinct kinematic quantity (similarity 0.80)
• Mass dominates impedance at high frequencies, stiffness at low frequencies (similarity 0.79)

Broader Connections

• Resonance is universal constructive addition of force-driven velocity #expands (0.80) — Eric J. Heller, Why You Hear What You Hear- An…, 1012
• Impedance equals applied force divided by attained velocity #expands (0.78)
• Slow forcing gives stiffness-dominated impedance; sudden forcing gives mass-dominated impedance #qualifies (0.75) — Eric J. Heller, Why You Hear What You Hear- An…, 86