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The consumables and the equipment used are listed in the Table of Materials.
1. Overview of data collection
Herein, four different helmet models from two manufacturers were utilized. These included the 2022 edition of the SpeedFlex (Riddell, Rosemont, IL), denoted by H1; the Zero 2 (Vicis, Seattle, WA), denoted by H2; the Zero 2 Trench (Vicis, Seattle, WA), denoted by H2T, designed for offensive and defensive line players; and the Zero 2 Quarterback (Vicis, Seattle, WA), denoted by H2Q, designed for quarterbacks, although it should be noted that the differences between H2 and H2Q were not obvious. For each helmet model, three separate helmets were tested for a total of 12 helmets.
The current study followed the basic procedure developed by Cummiskey et al.34,44, and McIver et al.35. Consistent with these previous studies, a 50th percentile Hybrid III head and neck assembly testing rig, secured to a steel baseplate, was used to quantify forces and accelerations resulting from direct impacts to the bare head form as well as each of three helmets of each tested model. The impact mitigation, as defined here, was simply a measure of the decrease in acceleration due to the presence of the helmet.
2. Detailed process of data collection
After ensuring the DAQ and the computer that runs the LabView code were properly connected to power, all the sensors were plugged into the DAQ.
3. Software initialization
The custom LabView program, entitled "Hammer_Time_2017.vi" was double-clicked to initiate the start of the data collection. Basic data were then entered into the appropriate fields, including the path for the final data file, number of hits per file (typically five), number of files per location (typically four), and the headgear profile. Once the data were entered, the LabView code was initiated by pressing Run.
As a preliminary evaluation of the entire system, the modal impulse hammer was used to strike the front, top, and side in order to confirm that the hammer and all nine accelerometers were successfully collecting data.
4. Impact delivery
During the delivery of each impact, resultant accelerations at the center of mass (CoM) were measured using a nine-accelerometer array in a 3-2-2-2 setup, as defined by Padgaonkar et al.45. A 200 ms time series was collected for each normal and oblique impact with a 70 ms pre-trigger, providing 130 ms of acceleration and impact force measurements, with all signals collected at 5120 Hz.
5. Impact types
Fourteen impact types (Figure 1) were evaluated for all test cases (bare head form and each helmet model), representing two angles of incidence (normal and oblique) at each of seven impact locations (Front, Front Boss, Side, Rear Boss, Rear, Top, and the SpeedFlex Cut Out). Normal impacts were delivered perpendicular to the surface, and oblique impacts were delivered at an angle of approximately 45o to the normal direction. These impact types are hereafter denoted by: (1) Front-Normal, (2) Front-Oblique, (3) Front Boss-Normal, (4) Front Boss-Oblique, (5) Side-Normal, (6) Side-Oblique, (7) Rear Boss-Normal, (8) Rear Boss-Oblique, (9) Rear-Normal, (10) Rear-Oblique, (11) Top-Normal, (12) Top-Oblique, and, at the location of the SpeedFlex Cut Out, both (13) Cut Out-Normal and (14) Cut Out-Oblique (Figure 1). To simplify the discussion of the position-specific impact mitigation characteristics, two aggregated regions were also defined: the Frontal Aspect of the helmet encompassed impact types 1, 2, 3, 4, 13, and 14; and the Rear Aspect of the helmet consisted of impact types 7, 8, 9, and 10.
Impacts were first administered to the bare head form using a modally tuned impulse hammer (PCB Piezotronics, Inc.; Depew, NY) as described by Cummiskey et al.34,44, to record the applied force during impact.
For each hit, the impact of the modal impulse hammer triggered the 200 ms acquisition window. After the data were visually inspected to ensure that there were no recording errors, the Save button was pressed to write the data to a file. Due to the violence of the experiments, most recording errors result from loose wires, a broken hammer cable, or broken accelerometer wires. For five hits per file, and four files per location, a total of twenty impacts were recorded at each location at levels 1 (2-4 Ns), 2 (5-7 Ns), 3 (8-10 Ns), 4 (11-13 Ns), 5 (> 14 Ns), with three repeats.
Subsequent to the acquisition of a bare head form reference set, three examples of each helmet were serially fitted to the head form, according to manufacturer specifications. All 14 impact types were delivered to each of the three helmets (Figure 2). These procedures resulted in a total of 840 data points being collected for each helmet model. Note that for the collection of the last, largest hammer strike at each location, a high-speed camera was used to document the blow at a frame rate of 959 Hz (Figure 3).
6. Post-processing
This study focuses on two important output parameters that result from impacts delivered to a Hybrid III head form: the peak translational and peak rotational accelerations, ap,and
, respectively. For the purposes of comparison, these parameters were recast in dimensionless form,
, and
, respectively, as described by Cummiskey et al.34,
(1)
(2)
where t* is the difference between a reference time (100 ms) and the impact duration as measured by the impulse hammer, and wn is the width of the neck. The impulse delivered to the head form (bare or helmeted) was also converted into a dimensionless input variable,
, and given by,
(3)
where mh is the mass of the head form, and F(t) is the impact force as a function of time, integrated over the duration of the impact.
Acceleration traces were collected and processed using a custom MATLAB program. After collection, all traces were passed through a fourth-order Butterworth low-pass filter (750 Hz cutoff frequency) to reduce noise. Kinematic equations were then used to calculate resultant translational and rotational acceleration at the CoM44,45. These values were output as dimensionless quantities to assess the response of the head form34. Peak Translational Acceleration (PTA) and Peak Rotational Acceleration (PRA) were output as trace data for each recorded impact.
7. Statistical analysis
The current study also followed the data reduction and statistical analysis pipeline developed previously34,35. Briefly, both
, and
, were shown to be related to the dimensionless impulse,
, by a power law relationship46. For the translational acceleration, this model has the form,
(4)
A similar approach was used to model the dimensionless rotational acceleration. A modified version of Grubb's method was then used to remove outliers, and a final curve fit was generated34. An ANCOVA test with an α level of 0.05 was used to examine differences between the regression coefficients for each helmet, with a Tukey post-hoc test and Holm-Sidak p-value correction34,47.
The final intermediate asymptotic curves generated by this process were utilized to determine the impact mitigation for each helmet. Once the area under each curve was calculated using a total of 100 evenly spaced values spanning the distance between the minimum and maximum values for
, it was possible to determine the effectiveness of the helmet at each location (Figure 4),
(5)
This process was repeated for the peak rotational accelerations. With a maximum value of one (representing 100% attenuation), the higher the impact attenuation, the better the helmet performed. A change in mitigation of 0.05 was used as a threshold value, representing a physically meaningful effect size. Such an increase corresponds to 5% of the maximum possible mitigation and would roughly eliminate the effects of 25-50 head impacts for a typical athlete participating in an entire season of contact and accumulating a typical number of 500-1,000 head impact exposures1,12.