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Young-Hoo Kwon, Chris Como, Ki Hoon Han, Sangwoo Lee, & Kunal Singhal Biomechanics Laboratory, Texas Woman’s University, Denton, TX. Decomposition of the Clubhead Velocity: Assessment of the Contributions of the Joint/Segment Motions in Golf Drives.
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Young-Hoo Kwon, Chris Como, Ki Hoon Han, Sangwoo Lee, & Kunal Singhal Biomechanics Laboratory, Texas Woman’s University, Denton, TX Decomposition of the Clubhead Velocity:Assessment of the Contributions of the Joint/Segment Motions in Golf Drives 6th World Scientific Congress of Golf, Phoenix, AZ
Planar Double-Pendulum Model Triple-pendulum model X-Factor Stretch-Shortening Cycle (Cochran & Stobbs, 1968; Hume et al., 2005; Hellstrom, 2009)
Planarity & Functional SP Motion Planes L Shoulder R Shoulder MD R Elbow MF L Hand FSP FSP (Kwon et al., 2012)
New Double-Pendulum Model • Hand Path Determined by: • Trunk motion & • Arm motions Projected Clubhead New Hub • Trunk Motion: • Flexion/extension • Lateral flexion • Rotation • Elevation/depression Projected Hand • Arm Motions: • Shoulder motions • Elbow motions
New Kinematic Sequence: Joint Angular Velocities Meaningfulness of the trunk rotation and the X-factor?
X-Factor Studies • Trends: • Comparison among different skill levels (Cheetham et al. 2000; Zheng et al., 2007; Cole & Grimshaw, 2009) • Comparison among different ball velocity groups (Myers et al., 2007) • Comparison among different effort levels (Meister et al., 2011) • Correlation/regression (Myers et al., 2007; Chu et al., 2010) • Training effects (Lephart et al., 2007) • Methodology (Joyce et al., 2010) *p < 0.05 • Issues: • ANOVA/correlation/regression with heterogenous samples • No direct relationship between CH velocity and X-factor • Influence of the planar swing model / stretch-shorting cycle • Projected to the horizontal plane
Purposes To assess the contributions of the joint/segment motions to the clubhead velocity: • Homogenous sample • Normalized CH velocity • Direct relationship between the CH velocity and the trunk motion To assess the relationship between the X-factor parameters and the CH velocity: • Projected to the functional swing plane • Homogenous sample • Normalized CH velocity
Participants • 18 Male Skilled Golfers: • Recruited from North Texas (Dallas) area • Handicap: -0.6 ± 2.1 • Height: 1.81 ± 0.05 m • Mass: 82.6 ± 10.4 kg • Clubhead Velocity: • 45.48 ± 2.85 m/s (102.3 ± 6.4 mph; CV = 6.3%) • 25.21 ± 1.82 BH/s (CV = 7.2%)
Data Collection • Motion Capture: • 10-camera VICON system (Centennial, CO) • Captured at 250 Hz • ‘TWUGolfer’ marker set (65 markers) • 2 AMTI force plates (250 Hz) • 4 different types of trials (ball plate, club, static posture, & motion trials) captured • Laboratory Study: • Wiffleballs • Ball mat • 5 driving trials per golfer collected
Data Processing • ‘TWUGolfer’ Body Model: • 89 points • 13 joints / 24 computed points • 18 bodies / 6 additional reference frames • Data Processing: • C3D importing • Kwon3D (Visol, Seoul, Korea) • Cutoff frequency: 20/10 Hz • Interpolated to 2,000 Hz
Events BI ED MD TB MF Mid FT Mid DS Ball Impact Top of BS Early DS
Functional Swing Plane (FSP) FSP (Kwon et al., 2012): • Plane formed by the clubhead trajectory (MD to MF) • Projected trajectory Moving FSP Reference Frame: • Instantaneous rotation centers & arms • Normal, tangential, & radial axis n ro X-Factor Computation: • Shoulder & hip lines • Projected to the FSP frame
Decomposition of CH Velocity Wrist (2 + 1 DOFs) Elbow (1) 1 Shoulder Joint (3) A 4 Mid-Shoulder (1) D 5 C L4/L5 (3) E B Pelvis Rotation (3) 3 6 2 F Mid-Hip Translation 7 Time Function: Max contribution Contribution at BI Contribution
Tangential Velocity Contribution 100% TB: 0% ED: 67.0% 46.9% MD: 86.9% 16.8% BI: 100% 19.2% 15.7% (1) (12) 18.5% (5)
Velocity Contribution vs. Max CH Velocity (p < 0.05) r = 0.724 r = 0.539 r = 0.501 r = -0.475 (1) (3)
X-Factor Parameters X-Factor Stretch 1.5 ± 2.2 deg
X-Factor Parameters CV = (15, 79, 18)% CV = (10, 31, 11)% CV = (21, 25, 17)% vs. Max CH Velocity r = -0.461* (*p < 0.05) r = -0.486* r = -0.568*
Discussion • Velocity Contribution: • Wrist motion: the main source of the CH velocity • Pelvis motion: larger contributions than the trunk motion • Wrist & pelvis contributions: correlated to the max CH velocity • Trunk motion: no notable contribution / correlation to the max CH velocity • Velocity Decomposition: • Decomposed velocities causal relationships • 3-D modeling studies needed: to establish the causal relationship
Discussion (cont.) • X-Factor: • Not the X-factor but the hip & shoulder parameters were correlated to the max CH velocity. • Direct relationship between max CH velocity and X-factor is questionable. • Inter-group difference in X-factor may mean fundamental differences in swing style. • The X-factor could be an indicator of the golfer’s skill level.
Discussion (cont.) • Golf swing: • a planar motion around a hub (Cochran & Stobbs, 1968) • Planar perspective, X-factor, & SSC: • Popular menus • Time to reassess their meaningfulness • Trunk & arms: work together to achieve a planar CH motion in the delivery zone • Future studies: trunk-arm coordination
Conclusion Velocity decomposition revealed that contribution of the trunk motion to the max CH velocity was minor. Not the X-factor, but the hip and shoulder line position/ROM showed significant correlations to the max CH velocity. The link between the X-factor/stretch-shortening cycle perspective and CH velocity generation is questionable. Future studies need to focus on hip and shoulder line position/ROM vs. downswing motion patterns.
Thank you for your attention!
Trial Types Static Posture Motion Trial Processed Motion Trial Club Ball Plate
Kinematic Chain Analysis CH Velocity: 1 A 4 D 5 C E B 3 6 2 F 7 Relative Velocity of CH to Wrist:
Segment Perspective: 1 1 A A 4 4 D D 5 5 C C E E B B 3 3 6 6 2 2 F F 7 7 Joint Perspective:
Decomposition of CH Velocity Wrist (2 + 1 DOFs) Elbow (1) 1 Shoulder Joint (3) A 4 Mid-Shoulder (1) D 5 C L4/L5 (3) E B Pelvis Rotation (3) 3 6 2 F Mid-Hip Translation 7 Time Function: Max contribution Contribution at BI Contribution
Normal Velocity Contribution Up Down
Radial Velocity Contribution Toward
Golf Performance Factors Goal: • Accuracy & consistency in distance & direction • Maximization of the distance Impact Conditions: • Motion of the clubhead (velocity) • Orientation of the clubface at impact • Location of impact on the clubface • Distance: function of the CH velocity at impact
X-Factor Studies (cont.) • Issues: • Heterogenous samples • No direct relationship between CH velocity and X-factor • Influence of the planar swing model / stretch-shorting cycle • No normalization of the CH velocity to body size
X-Factor Parameters Correlation: vs. Max Clubhead Velocity (BH/s)
Velocity Contribution vs. Max CH Velocity r = 0.997* (*p < 0.05) r = 0.724* r = 0.633* r = 0.539* r = 0.501* r = -0.475*
Inter-Joint/Segment Correlations (p < 0.05)
Accumulated Contribution 100% 29.9% 17.1% 19.3% 25.6%
Trajectory Contribution vs. Max CH Velocity (*p < 0.05) r = 0.468* r = 0.544*