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Updated: Jun 8, 2025

Simulation of Human-induced Vibrations Based on the Characterized In-field Pedestrian Behavior
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Walking Cadence of 9-Year-Olds Predictable as Resonant Frequency of a Force Driven Harmonic Oscillator

Kenneth G Holt1, Suh Fang Jeng1, Linda Fetters1

  • 1Department of Physical Therapy, Sargent College of Applied Health Professions, Boston University, 635 Commonwealth Ave., Boston, MA 02215.

Pediatric Exercise Science
|November 8, 2024
PubMed

Insights

Children

Area of Science:

  • Biomechanics
  • Pediatric Gait Analysis

Background:

  • Preferred stride frequency (PSF) in adults aligns with the resonant frequency of a force-driven harmonic oscillator (FDHO).
  • Understanding pediatric gait dynamics is crucial for developmental and clinical insights.

Purpose of the Study:

  • To investigate if the resonance formula applicable to adult preferred stride frequency (PSF) can predict the PSF in 9-year-old children.
  • To assess the applicability of adult gait resonance models to pediatric populations.

Main Methods:

  • Subjects (9-year-old children) walked at a self-selected comfortable pace.
  • Stride frequency was determined by timing 20 strides, and stride period was calculated.
  • A resonance-based prediction model was applied, using the center of mass of the foot, shank, and thigh to determine the simple pendulum equivalent (SPE) length.

Main Results:

  • The resonance formula, when adjusted by a constant of 2 and the gravitational constant, accurately predicts children's cadence.
  • This indicates that the fundamental principles of resonant frequency apply to pediatric gait as well as adult gait.
  • The simple pendulum equivalent (SPE) model effectively captures the dynamics of children's preferred stride frequency.

Conclusions:

  • The established resonance formula for adult preferred stride frequency (PSF) can be adapted to predict the cadence of 9-year-old children.
  • This finding suggests a universal biomechanical principle governing gait frequency across different age groups.
  • The study validates the use of the simple pendulum equivalent (SPE) model in pediatric biomechanics research.

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