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Download How Biomechanics Can Improve Sports Performance
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D. Gordon E. Robertson, PhD Fellow, Canadian Society for Biomechanics Emeritus Professor, University of Ottawa Study of forces and their effects on living bodies Types of forces External forces ground reaction forces applied to other objects or persons fluid forces (swimming, air resistance) impact forces Internal forces muscle forces (strength and power) force in bones, ligaments, cartilage Temporal Kinematic Kinetic Direct Indirect Electromyographic Modeling/Simulation Quantifies durations of performances in whole (race times) or in part (splits, stride times, stroke rates, etc.) Instruments include: stop watches, electronic timers timing gates frame-by-frame video analysis Easy to do but not very illuminating Necessary to enable kinematic studies Donovan Bailey sets world record (9.835) despite slowest reaction time (0.174) of finalists Race times Reaction times Position, velocity (speed) & acceleration Angular position, velocity & acceleration Distance travelled via tape measures, electronic sensors, trundle wheel Linear displacements point-to-point linear distance and direction Angular displacements changes in angular orientations from point-topoint using a specified system (Euler angles, Cardan angles etc.). Order specific. Instrumentation includes: tape measures, electrogoniometers speed guns, accelerometers motion capture from video or other imaging devices (cinefilm, TV, infrared, ultrasonic, etc.) GPS, gyroscopes, wireless sensors Cheap to very expensive Cheap yields low information e.g., stride length, range of motion, distance jumped or speed of object thrown or batted Expensive yields over-abundance of data e.g., marker trajectories and their kinematics, segment, joint, and total body linear and angular kinematics, in 1, 2, or 3 dimensions and multiple angular conventions Are essential for later inverse dynamics and other kinetic analyses a running/sprinting stride length b stance phase, left foot swing phase, left foot Notice that running footprints are typically on the midline unlike walking when they are on either side one gait cycle step length left foot right foot flight phase right foot-strike left foot-strike right toe-off left toe-off Stride velocity = stride length / stride time Stride rate = 1 / stride time time Hip locations of last 60 metres of 100-m race Male 10.03 s accelerated to 60 m before maximum speed of 12 m/s Female 11.06 s accelerated to 70 m before maximum speed of 10 m/s Both did NOT decelerate! 100 male: 12 m/s 90 80 70 female: 10 m/s 60 50 40 5 6 7 8 9 Race time (s) 10 11 Direct measures such as electrogoniometry (for joint angles) or accelerometry are relatively inexpensive but can yield real-time information of selected parts of the Insidebody headform (below) is a 3D accelerometer and 3 pairs Accelerometry is particularly useful forsensors for 3D of linear evaluating impacts to the body angular acceleration headform with 9 linear accelerometers to quantify 3D acceleration Multiple infrared cameras or infrared markers Motion capture system Usually multiple force platforms Subject has 42 reflective markers for 3D tracking of all major body segments and joints X, Y, Z linear velocities of stick head Forward and vertical velocities of centre of gravity Sagittal, transverse, and axial rotational velocities of L5/S1 and hip joints Forces or moments of force (torques) Impulse and momentum (linear and angular) Mechanical energy (potential and kinetic) Work (of forces and moments) Power (of forces and moments) Two for force and deformation Direct dynamometry ways Instron of obtaining kinetics compression tester measures of bones, muscles, Use of instruments to directly ligaments, etc., under load measure external and even internal forces Indirect dynamometry via inverse dynamics Indirectly estimate internal forces and moments of force (U. from Gait laboratory of directly Sydney) measured kinematics, body segment with 10 Motion Analysis cameras walkwaymeasured with parameters and and externally five force platforms forces Measurement of force, moment of force, or power Instrumentation includes: Force transducers Pressure mapping sensors Force platforms strain gauge, LVDTs, piezoelectric, piezoresistive strain gauge, piezoelectric, Hall effect Isokinetic for single joint moments and powers, concentric, eccentric, isotonic Strain gauge: inexpensive, range of sizes, and applications dynamic range is limited, has static capability, easy to calibrate can be incorporated into sports equipment Examples: bicycle pedals, oars and paddles, rackets, hockey sticks, and bats Subject used a Gjessing rowing ergometer with a strain gauge force transducer on cable that rotates a flywheel having a 3 kilopond resistance Force tracing visible in real-time to coach and athlete Increased impulse means better performance Applies to cycling, canoeing, swim or track starts Pressure mapping sensors: moderately expensive, range of sizes and applications, poor dynamic response can be incorporated between person and sport environment (ground, implement) Examples: shoe insoles, seating, gloves Piezoelectric: inexpensive, range of size and application poor static capability, difficult to calibrate suitable for laboratory testing or in sports arenas Examples: load cells, force platforms Helmet and 5-kg headform dropped from fixed height onto an anvil. Piezoresistive force transducer in anvil measures linear impact (impulse) and especially peak force Peak force is reduced when impulse is spread over time or over larger area by helmet and liner materials Typically measure three components of ground reaction force, location of force application (called centre of pressure), and the free (vertical) moment of force Piezoelectric: expensive, wide force range, high dynamic response, poor static response Strain gauge: moderately expensive, narrow force range, moderate dynamic response, excellent statically Instantaneous ground reaction force vectors are located at the centres of pressure Force signatures show pattern of ground reaction forces on each force platform process by which all forces and moments of force across a joint are reduced to a single net force and moment of force the net force is primarily caused by remote actions such as ground reaction forces or impact forces free body joint kinetics diagram are the net momentsimplified of force, with actualasmuscle a also single called net forces, force and ligament a moment torque, is primarily caused by the muscles forces, of forcebone-on-bone (in blue) crossing the joint thus is highly related to forces anditjoint force the coordinationmoment of theof motion, injury mechanisms and performance requires linear and angular kinematics of the segments and knowledge of the segment’s head is an ellipsoid, inertial properties trunk and pelvis are inertial properties are usually obtained by elliptical cylinders, other segments using proportions toare estimate the segment’s frusta of cones mass and then equations based on the mass being equally distributed in a representative geometrical solid (e.g., ellipsoid, frustum of a cone, or elliptical cylinder) based on the segment’s markers generally analyses start with a distal segment what is either free swinging or in contact with a force platform or force transducer then the next segment in the kinematic chain is analyzed process continues to the trunk and then starts again at another limb Net forces add no work nor do they dissipate energy then can: transfer energy from one segment to another passively Net moments of force can: generate energy by doing positive work at a joint dissipate energy by doing negative work across a joint transfer energy across a joint actively (meaning that muscles are actively recruited unless joint is fully extended or flexed) Power Pforce = F · v Power of the net force is: of net moment of force is: Pmoment = M · w Work done by net moment of force is computed by integrating the moment power over time Wmoment = Pmoment dt Work done by net force is zero male sprinter (10.03 s 100-m) at 50 m into race stride length approximately 4.68 metres horizontal velocity of foot in mid-swing was 23.5 m/s (84.6 km/h)! only swing phase could be analyzed since no force platform in track knee extensor moment did negative work (red) during firstangular half ofvelocity swing (likely not muscles) knee flexors did negative moment of force work (blue) during second half to prevent full extension (likely due moment power to hamstrings) little or no work (green) done by knee moments swing phase hip flexor moment did positive work (red) during first part of swing (rectus femoris, iliopsoas) hip extensor moment did negative work mid-swing (green) then positive work (blue) for extension (likely gluteals) knee flexors (rectus femoris and iliopsoas) are NOT responsible for knee flexion during mid-swing hip flexors are responsible for both hip flexion AND knee flexion during swing hip flexors are most important for improving stride length hip extensors (gluteals) are necessary for leg extension while knee flexors (hamstrings) prevent knee locking before landing foot lifts at green arrow, impact at red arrow foot velocity at impact was 8.6 m/s (31 km/h) 2000 Knee power 1500 Hip power 1000 500 0 -500 -1000 -1500 -2000 0.00 0.20 0.40 0.60 0.80 1.00 Time (s) knee extensors do no work, knee flexors (red) instead do negative work to prevent hyperextension hip flexors do positive work (green) then extensors do negative work (blue) to create “whip action” Benefits: can attribute specific muscle groups to the total work done within the body can exhibit coordination of motion Drawbacks: net moments are mathematical constructs, not measures physiological structures cannot validate with direct measurements cannot detect elastic storage and return of energy cannot quantify multi-joint transfers (biarticular muscles) process of measuring the electrical discharges due to active muscle recruitment only quantifies the active component of muscle, passive component is not recorded levels are relative to a particular muscle and particular person therefore need method to compare muscle/muscle or person/person not all subjects can perform maximal voluntary contractions (MVCs) to permit normalization effective way to identify muscle is recruitment Types: cable cable telemetry reliable less expensive encumbers subject reliable less expensive less cabling telemetry unreliable more expensive no cabling Types: surface (best for sports) fine wire reliable less expensive noninvasive unreliable more expensive invasive needle (best for medical) unreliable more expensive painful experience male lacrosse player release velocity 20 m/s (72 km/h) duration from backswing to release 0.45 s hybrid style throw 8 surface EMGs of (L/R erector spinae, L/R external obliques, L/R rectus abdominus, and L/R internal obliques) four force platforms maximum speed throws into a canvas curtain left erector spinae • erector spinae right erector spinae quiet at release left external obliques • ext. obliques right external obliques highly active left rectus abdominus • rect. abd. only right on rectusnear abdominus release left internal obliques • noticeable left/ right right internal obliques asymmetry start of throw release Benefits identifies whether a particular muscle is active or inactive can help to identify pre-fatigue and fatigue states Drawbacks encumbers the subject difficult to interpret cannot identify what contribution muscle is making (concentric, eccentric, isometric) should be recorded with kinematics musculoskeletal models measure internal muscle, ligament and bone-on-bone forces difficult to construct, validate, and apply forward dynamics predicts kinematics based on the recruitment pattern of muscle forces difficult to construct, validate, and apply computer simulations requires appropriate model (see above) and accurate input data to drive the model can help to test new techniques without injury risk kinematics are useful for distinguishing one technique from another, one trial from another, one athlete from another kinematics yields unreliable information about how to produce a motion direct kinetics are useful as feedback to quickly monitor and improve performance direct kinetics does not quantify which muscles or coordination pattern produced the motion inverse dynamics and joint power analysis identifies which muscle groups and coordination pattern produces a motion cannot directly identify specific muscles, biarticular contractions, or elasticity electromyograms yield level of specific muscle recruitment and potentially fatigue state electromyograms are relative measures of activity and cannot quantify passive muscle force, should be used with other measures School of Human Kinetics, University of Ottawa, Ottawa, Ontario Canadian beaver in winter, Gatineau Park, Gatineau, Quebec Muchas Gracias