A mechanical spring hammer can transmit crank-driven reciprocation to a guided ram through a compliant spring linkage. This calculator evaluates a selected sinusoidal peak-speed proxy, a user-selected speed multiplier, and the associated ram kinetic-energy and cycle-average energy-rate proxies. It does not predict an actual blow or size a hammer.
Spring Hammer · Selected Sinusoidal-Speed Proxy
Explore selected sinusoidal peak-speed, ram kinetic-energy and cycle-average energy-rate proxies.
Equation Used
- Stroke is selected peak-to-peak sinusoidal travel.
- BPM is treated as constant complete cycles per minute.
- ks is a selected speed multiplier, not a spring model result.
- Ram weight is divided by standard gravity 32.174 ft/s² for mass in US customary units.
- Kinetic energy is evaluated at the selected peak-speed proxy.
- Impact losses, workpiece deformation, rebound, contact time, linkage dynamics, motor efficiency, fatigue and safety are excluded.
Former measured-performance and spring-gain wording is removed. ks is an explicit selected speed multiplier.
Selected kinematic ledger
For selected peak-to-peak stroke S and cycle rate f, an ideal sinusoidal ram has peak speed πSf. A selected dimensionless speed multiplier ks scales that reference. The entered ram weight is converted to mass for kinetic-energy arithmetic.
What the calculator determines
Use it to compare selected stroke, rate, mass and speed-multiplier scenarios. Actual impact depends on the full linkage, spring dynamics, contact duration, workpiece, dies, losses and rebound.
Exact selected relationships
vproxy=ks π S(BPM/60); Eproxy=(W/g)vproxy²/2; multiplier energy ratio=ks²; cycle-average energy rate=Eproxy BPM/33000 hp.
Selected-input example
For W=50 lbf, S=6 in, 240 cycles/min and ks=1.6, the calculator evaluates the disclosed speed and kinetic-energy proxies. These are not measured tup speed or delivered blow energy.
Not an impact or machine design
The multiplier is selected rather than derived from spring stiffness, preload, mass, linkage geometry or damping. No efficiency, contact mechanics, delivered work, frame load, fatigue, bearing load or safe operating rate is predicted.
Questions
Is ks a spring-energy gain?
No. It is a selected speed multiplier; ks² is only the resulting kinetic-energy ratio relative to the unscaled speed proxy.
Is cycle-average energy rate motor power?
No. It omits all losses and recovery and is not a drive-motor rating.
References & Further Reading
- Wikipedia contributors. Power hammer. Wikipedia
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