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<p>This paper investigates the energy decay of a nonlinear Euler-Bernoulli beam, focusing on longitudinal boundary control and viscoelastic damping in the transverse directions. Using the Faedo-Galerkin method, the study demonstrates the existence and uniqueness of solutions. A Lyapunov function is constructed to analyze the stability of the beam.</p>

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General energy decay and stability analysis of a nonlinear euler-bernoulli beam with a boundary control and viscoelastic damping

  • 期刊论文

  • 发表日期：

    2025年5月31日

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  • Billal Lekdim,
  • Ahmed Bchatnia,
  • Foued Mtiri

摘要

This paper investigates the energy decay of a nonlinear Euler-Bernoulli beam, focusing on longitudinal boundary control and viscoelastic damping in the transverse directions. Using the Faedo-Galerkin method, the study demonstrates the existence and uniqueness of solutions. A Lyapunov function is constructed to analyze the stability of the beam.