Dynamic Amplification Factor (DAF)
What is Dynamic Amplification Factor?
The Dynamic Amplification Factor (DAF) is the ratio of the maximum dynamic load to the static load during a lifting operation. A DAF of 1.0 means no dynamic effect — the crane sees only the static weight of the payload. A DAF of 2.0 means the peak dynamic load is twice the static weight.
Practical application: For practical application of this topic, see POLARIS crane shock absorber and engineering studies and analysis.
In offshore lifting, waves cause the crane tip to move up and down while the payload hangs below. This relative motion creates dynamic forces in the lifting system — tension spikes when the crane tip accelerates upward, and slack when it drops. The DAF captures how much worse these dynamic forces are compared to a calm-water lift.
Typical DAF values for offshore lifts without compensation range from 1.2 to 2.5, depending on sea state, crane stiffness, and sling length. With a heave compensator installed, the DAF can be reduced to 1.05–1.3, which means smaller cranes can lift the same payload or the same crane can operate in rougher seas.
What causes DAF in real crane lifts?
In real crane lifts, DAF is usually caused by relative motion. The crane tip, hook, wire, slings and payload do not all move together. When the system suddenly takes up that motion, the wire and rigging behave like springs and the velocity difference becomes a tension spike.
Supply-vessel deck lift. A cargo container on a supply vessel follows the vessel heave and roll, while the crane tip follows the crane vessel or platform. If the hook is moving up as the deck or container is moving down, the sling can go from slack or low tension to fully loaded in a fraction of a second. This snap load can be much higher than the static container weight.
Splash-zone crossing. During a splash-zone crossing, buoyancy, drag, added mass and wave particle velocity change quickly as the payload passes through the free surface. The hook load can rise and fall rapidly, especially when the crane, wire and payload dynamics line up with the wave period.
Other common triggers include sudden lift-off from deck, landing impact, snagging, fast crane motion, emergency stops and resonance in the crane-wire-payload system.
How to reduce DAF
- Shock absorbers for snap loads. A POLARIS crane shock absorber adds stroke and damping between the crane and payload. It absorbs kinetic energy from sudden hook-load changes, deck lift-off and overload events before they become peak crane load.
- Passive heave compensation for splash-zone crossings. A passive heave compensator reduces relative motion between the crane hook and subsea payload. This keeps rigging tension smoother through the splash zone and reduces the dynamic amplification the crane sees.
- Choose the compensator by operation. RIGEL and CYGNUS cover simpler passive cases, while ANTARES is used for complicated or multi-step subsea lifts with changing buoyancy. For precision topside motion compensation, VEGA may be the better first-pass product.
- Control the lift as well as the equipment. Lower crane speed, avoid resonant sea states, plan weather windows and use soft lift-off procedures. The equipment reduces DAF, but the operation still sets the starting conditions.
For product choice, start with the heave compensator selection guide or compare the crane demand in the crane load chart.
How to Calculate DAF
The simplest DAF estimate comes from DNV-OS-H205 (now DNV-ST-N001), which gives:
DAF = 1 + aheave / g
where aheave is the maximum vertical acceleration at the crane tip and g is gravitational acceleration (9.81 m/s²). For a sinusoidal heave motion with amplitude ζ and period T:
aheave = ζ × (2π/T)²
For example, with 1.5 m heave amplitude and 8 s period: aheave = 1.5 × (2π/8)² = 0.93 m/s², giving DAF = 1 + 0.93/9.81 = 1.09. This is the crane-tip DAF only — the hook DAF is higher because the sling and payload form a spring-mass system that amplifies the crane tip motion, especially near resonance.
More accurate DAF calculations require modelling the full dynamic system: crane boom stiffness, wire rope elasticity, sheave friction, sling arrangement, and payload hydrodynamic properties. Tools like OrcaFlex are commonly used for this.
DAF and Heave Compensator Selection
The primary engineering benefit of a heave compensator is DAF reduction. By decoupling the payload from the crane tip motion, the compensator absorbs the dynamic forces that would otherwise be transmitted through the lifting system.
A well-tuned passive heave compensator typically reduces DAF by 60–90%, meaning a lift that would see DAF 2.0 without compensation drops to DAF 1.1–1.4 with compensation. This has direct cost implications:
- Smaller crane capacity needed for the same payload
- Wider weather windows — lift in Hs 2.5 m instead of Hs 1.0 m
- Reduced risk of sling overload and dropped objects
- Lower dynamic loads on subsea structures during landing
For heavy subsea lifts where DAF control is critical, an adaptive passive compensator like ANTARES offers the best balance of DAF reduction and operational simplicity.
Related on Norwegian Dynamics
- Crane Load Chart — Velocity formula, DAF derating, worked example.
- Passive Heave Compensation Basics — Equations, derivation and the efficiency calculator.
- DNV Standards for Offshore Lifting — ST-0378, ST-N001, RP-N103 and how they apply to compensators.
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