Four Bar Linkage in Exercise Equipment

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Presentation transcript:

Four Bar Linkage in Exercise Equipment Group C Robert “SolidEdge” Desjardins Stephanie Louttit Mark Szymanski Christopher “GUI” Wirz

Overview Four Bars in Exercise Equipment Elliptical Gait Grashof & DOF SolidEdge Simulation Instant Centers MATLab Simulation Varying Parameters

Four Bars in exercise machines!

Four Bars in exercise machines!

Four Bars in exercise machines!

Elliptical Exerciser - Classification r1 + r2 < r3 + r4 Grashof Class I Kinematic Chain Crank-Rocker r2

Elliptical Exerciser - DOF J1 = 4 DOF = 3(L – 1) – 2(J1) –J2 DOF = 3(4 – 1) – 2(4) DOF = 1 d 4 1 a c 2 3 b

Elliptical Exercisers A combination of a stair climber and a cross-country ski machine that you stand on and pedal No impact Less likely to injure joints than on a treadmill Lower perceived exertion for equivalent workout intensity

Walking/Running When walking, feet naturally follow path of ellipse While foot 1 is flat on the ground, foot 2 is in the air moving parallel to the ground When running, feet pound (impulse) on the ground potentially causing joint injury

Elliptical Elliptical exercisers eliminate impact with the ground by following the natural motion of the feet

Elliptical Exerciser SolidEdge Simulation

Elliptical Exerciser SolidEdge Simulation

Elliptical Exerciser SolidEdge Simulation – Velocity Plots

Instant Centers

Elliptical Exerciser MATLab Simulation Matlab GUI for elliptical.zip

Normal “Standard” “Plebian” This is the motion profile for the elliptical machine

Varying Parameters r1 r2 r3 r4 r5 t1 t5 Normal 50 8 33 34 12 40 167 Model 5 60 180 Vince 16 Arnold 220 Bush 47 145 Krovi 200 But then we got the celebrities to try out our new elliptical machines!

Model

Vince Vaughn

Arnold Schwarzenegger

President Bush

Dr. Venkat Krovi

Conclusions Most elliptical exercisers are not adjustable for different heights and stride lengths of people By varying r2, the stride length can be tuned to different criterion Further research could be performed in changing the shape of the foot path for example: from elliptical to figure eight

Questions