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Understanding Musculoskeletal Mechanics: Muscle Response and Stress Relaxation

Explore the mechanisms of active muscle response, tension buildup, stress relaxation, creep, and time constants in musculoskeletal systems. Learn about muscle models and parameter determinations.

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Understanding Musculoskeletal Mechanics: Muscle Response and Stress Relaxation

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  1. IE 552 Mechanics of Musculoskeletal System Dr. Andris Freivalds Class #13 IE 552

  2. Active Muscle Response (con’t) TCE = -(Bs + KPE)ε + (Bs + KPE + KSE)/KSE T T = KSE TCE + KSE(Bs + KPE) ε (Bs+KPE+KSE) (Bs+KPE+KSE) ε = (Bs + KPE + KSE) T - TCE KSE(Bs + KPE) (Bs + KPE) IE 552

  3. Tension Buildup TCE = -(Bs + KPE)ε + (Bs + KPE + KSE)/KSE T T = KSE TCE (Bs + KPE + KSE)s IE 552

  4. Tension Buildup (con’t) IE 552

  5. Tension Buildup (Ramp) IE 552

  6. Stress Relaxation in Muscle TCE = (Bs + KPE)ε + (Bs + KPE + KSE)/KSE T IE 552

  7. Stress Relaxation in Muscle (con’t) IE 552

  8. Creep in Muscle TCE = -(Bs + KPE)ε + (Bs + KPE + KSE)/KSE T IE 552

  9. Creep in Muscle (con’t) IE 552

  10. Time Constant in Muscle Response IE 552

  11. Time Constant Corresponds to Tetanic Frequency IE 552

  12. Summary of Muscle Model Parameter DeterminationDashpot B – Initial slope KSE – Slope from Quick Stretch IE 552

  13. Summary of Muscle Model Parameter Determination (con’t) KPE from time constant (τ): • Stress relaxation • Strain relaxation IE 552

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