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<p>This paper studies the asymptotic behavior of a suspension bridge model. We consider a thermoelastic dissipation combined with internal damping on the vertical displacement of the vibrating spring standing for the main cable. We prove exponential stability using the semigroup approach under a suitable relationship between the system coefficients (equal wave propagation). Otherwise, we prove polynomial stability with optimal rate.</p>

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Suspension bridges with thermoelasticity acting on the shear force

  • 期刊论文

  • 发表日期：

    2025年4月5日

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  • L. G. R. Miranda,
  • A. J. A. Ramos,
  • C. A. Nonato,
  • C. A. Raposo,
  • F. A. F. Nascimento

摘要

This paper studies the asymptotic behavior of a suspension bridge model. We consider a thermoelastic dissipation combined with internal damping on the vertical displacement of the vibrating spring standing for the main cable. We prove exponential stability using the semigroup approach under a suitable relationship between the system coefficients (equal wave propagation). Otherwise, we prove polynomial stability with optimal rate.