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September 10, 2025European Journal of Pure and Applied MathematicsOpen Access

Hamilton-Jacobi Framework for Nonholonomic Dynamics

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KNKhaled I. Nawafleh

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Overview

This analysis reveals equations of motion from variational action in nonholonomic dynamics, suggesting innovative applications.

Key Points

  • The generalized Hamilton-Jacobi equations are derived for systems with nonholonomic constraints, enhancing understanding of their dynamics.
  • Evidence shows that equations from d’Alembert’s principle align with those derived from the variational action principle.
  • The proposed framework is illustrated through the analysis of a rolling disk on a plane and a knife edge on an inclined surface.
  • These findings may enable new approaches to solve complex dynamics in constrained mechanical systems.

Cite This Study

Khaled I. Nawafleh (2025) studied this question.

synapsesocial.com/papers/68c1a77a54b1d3bfb60e0b9fhttps://doi.org/10.29020/nybg.ejpam.v18i3.6091
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