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Dynamic optimization analysis for equipment setup problems in endurance cycling

S A Kautz1, M L Hull

  • 1Rehabilitation Research and Development Center, Department of Veterans Affairs Medical Center, Palo Alto, CA 94303-1200, USA.

Journal of Biomechanics
|November 1, 1995
PubMed
Summary
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This study developed a dynamic optimization framework for endurance cycling equipment setup, finding an optimal chainring shape that reduced cycling cost. However, the shape requires higher peak joint moments, suggesting further physiological analysis is needed.

Area of Science:

  • Biomechanics
  • Mechanical Engineering
  • Sports Science

Background:

  • Endurance cycling performance is influenced by equipment setup, particularly the chainring.
  • Optimizing chainring design can potentially reduce the physiological cost of cycling.

Purpose of the Study:

  • To develop a dynamic optimization framework for analyzing equipment setup in endurance cycling.
  • To determine an optimal chainring shape using this framework.

Main Methods:

  • A mathematical model of pedaling motion was derived.
  • Chainring optimization was formulated as an optimal control problem.
  • A cost functional was used to evaluate chainring shapes.

Main Results:

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  • The optimization produced a chainring shape that reduced the cost of endurance cycling at 250 W and 90 rpm.
  • This optimal shape leveraged mechanical interactions during pedaling.
  • The model predicted increased peak joint moments during high joint velocity phases.

    • Conclusions:

    • The developed framework can optimize chainring design for reduced cycling cost.
    • The 'optimal' shape contradicts expectations from muscle mechanics.
    • Further research with physiologically based cost functionals is necessary for endurance cycling analysis.