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<p>This paper presents the construction of a&#xa0;mathematical model for a&#xa0;mechanical system consisting of a&#xa0;rigid body attached to two Euler–Bernoulli beams. The equations of motion are derived using the Hamilton–Ostrogradsky variational principle. The resulting mathematical model is a&#xa0;hybrid system of differential equations, for which we discuss the applicability of a&#xa0;unified approach—previously developed for systems with a&#xa0;single beam—to the analysis of free vibrations in this more complex configuration.</p>

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Hybrid System of Differential Equations Describing a Rigid Body Attached to Two Elastic Rods

  • 期刊论文

  • 发表日期：

    2026年1月16日

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  • Arsalan D. Mizhidon,
  • Aldar K. Hamhanov

摘要

This paper presents the construction of a mathematical model for a mechanical system consisting of a rigid body attached to two Euler–Bernoulli beams. The equations of motion are derived using the Hamilton–Ostrogradsky variational principle. The resulting mathematical model is a hybrid system of differential equations, for which we discuss the applicability of a unified approach—previously developed for systems with a single beam—to the analysis of free vibrations in this more complex configuration.