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Elbow_Opt_Lin_Mod

# Elbow_Opt_Lin_Mod - at the elbow(a good healthy synovial...

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Bicep Brachioradialis PCSA (cm2) 4.5 1.5 250 0 250 750 500 500 F 1 F 2 478.7 775 2 3 4 (bicep) (brachio) 4 Constraint conditions 2 3 4 F 1 + 6.475 F 2 = 3100 N 0 0 F 1 F 2 biceps brachii brachioradialis a 1 = 4 cm b = 15 cm c = 35 cm W = 20 N W O = 80 N a 2 = 25 cm Elbow @ 90° Bicep pulls vertical. Brachioradilis angle = 15° W W O F M 1 R y R x a 1 b c F M 2 a 2 What are the forces required in the biceps and brachioradialis to hold up the weight? θ 2 x y The Classic Elbow Problem as an Optimization Problem! Minimize: Subject to: Objective function 1 Re-cast in terms of optimization: S i = F 1 4.5 + F 2 1.5 S = Muscle stress = force/PCSA Equation from Cons. Ang. Momentum, written
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Unformatted text preview: at the elbow (a good, healthy synovial joint) Physiologic constraints "Muscles can't push!" (total muscle stress) BE 330 - December 9, 2008 E This line represents the objective function traveling through our solution space. It's a linear objective function, so yes, a line in solution space makes sense. It has a slope of -1/3 which we found by re-writing our objective function in the form: y = mx + b....
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