The software will be released on January 20.
(Sorry, before January 20 I no longer have any available slots for publication.)Β
See also the CSV calculations, βData CSV format (updated 02/12/2025)β, provided by Fred at this page:
https://fredvol.bitbucket.io/Misc/jerk_analysis/p1/report_jerk.htmlΒ
β¦and the data from this website:
https://fredvol.bitbucket.io/Misc/jerk_analysis/p2/report_jerk_p2.html
DRI_EN describes the dynamic response of the system in energy terms.
In the files, it is computed from the accelerationβtime signal, taking into account:
acceleration magnitude
impulse duration
cumulative energy contribution
π DRI_EN quantifies how much dynamic energy is transmitted during the impact, going beyond the simple peak acceleration value (G-peak).
Higher DRI_EN values indicate:
more severe impacts
higher transmitted energy
reduced damping capability of the system
DRI_BIOM is derived from the same dynamic data as DRI_EN but applies a biomechanical interpretation.
In the files:
the dynamic signal is weighted according to human-body response models
the resulting index better represents potential physiological stress
π In short:
DRI_EN β energetic severity of the impact
DRI_BIOM β biomechanical relevance of the impact
The FAR (Force Attenuation Ratio) quantifies the ability of the system to attenuate and reduce the transmitted force during an impact.
In the analyzed files, FAR is derived from the comparison between:
the input force (or acceleration-derived force) generated by the impact
the force effectively transmitted through the system
π FAR expresses how much of the original impact force is mitigated by the protection system.
High FAR values indicate:
strong force attenuation
effective load distribution
reduced stress transmitted to the protected structure or body
Low FAR values indicate:
limited force reduction
more direct transmission of impact loads
FAR complements DRI_EN and DRI_BIOM by focusing specifically on force reduction, rather than energy or biomechanical response alone.
This value indicates the operating effectiveness threshold of the protection system relative to the peak acceleration.
xx% G-peak β percentage of the measured peak acceleration
β xx g β corresponding approximate acceleration value
π Up to this threshold:
energy absorption remains efficient
DRI_EN and DRI_BIOM increase in a controlled manner
Beyond this level, protective efficiency may progressively decrease.
The LEAI measures the systemβs ability to absorb energy at low impact levels.
π A high LEAI indicates:
early activation of the protective syste
effective absorption during moderate impacts
DRI_EN β energetic intensity of the impact
DRI_BIOM β biomechanical relevance of the impact
FAR β how effectively impact forces are attenuatedΒ
Effective up to xx% G-peak β protection effectiveness limit
Overall Protection Effectiveness β overall quality of protection
LEAI β low-energy absorption capability
JERK measures how abruptly acceleration changes: sharp hits, sudden shocks, and discontinuities. It reflects impact harshness, not energy absorption.
LEAI measures how much energy is absorbed over time under low-intensity conditions. Sudden spikes matter little; smooth, prolonged absorption counts most.
Key intuition:
JERK β derivative of acceleration β highlights abruptness.
LEAI β integral of absorbed energy β rewards gradual, sustained response.
Example:
Slow, long acceleration β low jerk, high LEAI
Sudden, short spike β high jerk, low LEAI
In short:
π Jerk tells you how βsharpβ the hit is.
π LEAI tells you how well the system absorbs it gradually.
Current paragliding harness certification standards focus primarily on high-energy impacts associated with severe crashes. However, the vast majority of real-world pilot loads arise from low-energy vertical impacts, such as hard landings, micro-drops, flare misjudgments, and repeated βculatesβ.
To address this gap, the Low-Energy Absorption Index (LEAI) has been introduced as a complementary biomechanical metric designed to quantify how effectively a harness attenuates small and moderate impact energy before critical acceleration thresholds are reached.
Traditional indices such as DRI_EN, DRI_BIOM, and FAR spinal load are optimized for injury prevention under high-severity events. While essential, these metrics are relatively insensitive to:
Initial impact sharpness
Early jerk behavior
Progressive vs impulsive energy absorption
Pilot comfort and cumulative spinal loading
In practice, pilots experience far more low-amplitude, short-duration impacts than catastrophic ones. A harness that performs well at certification g-levels may still transmit excessive load during everyday operations.
LEAI was designed to capture this missing dimension.
The Low-Energy Absorption Index evaluates how much mechanical βviolenceβ is transmitted to the pilot before a given acceleration threshold is exceeded.
Unlike peak-based metrics, LEAI focuses on the early phase of the impact, where the harness should ideally:
Delay acceleration buildup
Reduce jerk
Spread energy over time
A low LEAI value indicates gradual, progressive absorption.
A high LEAI value indicates rigid or impulsive load transfer.
Human tolerance to acceleration is strongly time-dependent. Short exposures to moderate g-levels are usually harmless, while sharp transitions cause discomfort and cumulative spinal fatigue.
For this reason, LEAI is evaluated at multiple acceleration ceilings:
Index - Threshold - Physical Meaning
LEAI-5 - 5 g - Micro-impacts, flare errors, minor culates
LEAI-10 - 10 g - Typical hard landings
LEAI-15 - 15 g - Severe but non-catastrophic vertical impacts
LEAI-20 - 20 g - Upper bound before injury-oriented metrics dominate
For each LEAI threshold GlimG_{lim}Glimβ:
Identify the time interval from impact onset to the first crossing of GlimG_{lim}Glimβ
Analyze the acceleration-time history within this window
Penalize:
High early jerk
Rapid acceleration buildup
Concentrated impulse
In simplified biomechanical terms, LEAI reflects:
How fast acceleration rises
How abruptly energy is transmitted
How early the pilot experiences significant load
This makes LEAI particularly sensitive to differences between:
Airbags vs foam protectors
Progressive vs stiff harness architectures
LEAI does not replace established safety metrics. Instead, it complements them:
Index - Primary Focus
DRI_EN - Certification compliance
DRI_BIOM - Injury probability
FAR spinal load - Structural spinal tolerance
LEAI - Early-phase energy absorption & comfort
A harness may pass certification limits while still scoring poorly in LEAI, revealing deficiencies invisible to traditional tests.
LEAI values are relative indicators, not absolute injury predictors.
General interpretation:
Low LEAI β Progressive damping, comfort-oriented design
Moderate LEAI β Acceptable but noticeable impact transmission
High LEAI β Rigid response, poor micro-impact absorption
This makes LEAI especially useful for:
Comparative harness testing
Design optimization
Informing pilots about comfort vs protection trade-offs
From a pilotβs perspective, LEAI addresses questions that certification does not answer:
Why does one harness βfeel softerβ on landing?
Why do repeated small impacts cause fatigue or back pain?
Why does an airbag feel better even when peak g is similar?
LEAI translates these subjective impressions into a quantifiable engineering metric.
The Low-Energy Absorption Index fills a long-standing gap between certification safety and real-world usability.
By focusing on early-phase dynamics and moderate acceleration thresholds, LEAI provides:
A clearer picture of harness damping behavior
Better discrimination between modern protection systems
A new design target for future harness development
LEAI does not redefine safety limits β it refines our understanding of impact quality.
Let us recall the key concept:
SIC_eq = 1 β biomechanical reference threshold of the model
(i.e. the onset of significant injury risk)
Very effective energy absorption
Impact well below the reference threshold
Deceleration well distributed over time
Low spinal loads and limited jerk
Biomechanical comfort and safety zone
Typical of highly progressive harness designs
π No biomechanical criticality expected
Good energy absorption
Impact close to, but still below, the reference threshold
Body response remains within physiological limits
Possible micro-stresses without injury
π Still a safe zone, but with reduced margin compared to Class A
Critical zone (onset of biomechanical risk)
SIC_eq β 1 corresponds to the model threshold
Possible exceedance of physiological tolerance under real conditions
Injury risk depends on:
body posture
impact repetition
individual variability
π This is where real injury risk begins
π Class C = βcautionβ zone, not yet catastrophic
Poor absorption / severe impact
Impact well beyond the biomechanical threshold
High probability of:
vertebral compression
disc and ligament damage
acute pain
π Probable injury zone
π The model remains informative, but the body is already outside the comfort range
Extreme impact / out-of-scale condition
Very violent impact
Numerical value is no longer proportional to real injury severity
From a biomechanical perspective:
human energy absorption capacity has already been exceeded
differences between values such as 3, 4, or 6 do not significantly change the clinical outcome
π Severe or potentially catastrophic injury zone
π At this level, the value only indicates βfar beyond the limitβ
π The meaningful biomechanical limit is SIC_eq β 1
<1 β physiological regime
β1 β injury risk threshold
>1 β increasing real injury risk
>2 β injury likely
>3 β biomechanically out of scale
π Therefore, the true βhumanβ threshold lies between Class B and Class C, not between Class D and Class E