Research article

Stability analysis for a Rao-Nakra sandwich beam equation with time-varying weights and frictional dampings

  • Received: 16 January 2024 Revised: 18 March 2024 Accepted: 25 March 2024 Published: 01 April 2024
  • MSC : 35B40, 93D15, 93D20

  • In this paper, we studied the asymptotic behavior of solutions for a Rao-Nakra sandwich beam equation with time-varying weights and frictional damping terms acting complementarily in the domain. We studied the effect of the three damping on the asymptotic behavior of the energy function. Under nonrestrictive on the growth assumption on the frictional damping terms, we established exponential and general energy decay rates for this system by using the multiplier approach. The results generalized some earlier decay results on the Rao-Nakra sandwich beam equation.

    Citation: Adel M. Al-Mahdi, Maher Noor, Mohammed M. Al-Gharabli, Baowei Feng, Abdelaziz Soufyane. Stability analysis for a Rao-Nakra sandwich beam equation with time-varying weights and frictional dampings[J]. AIMS Mathematics, 2024, 9(5): 12570-12587. doi: 10.3934/math.2024615

    Related Papers:

  • In this paper, we studied the asymptotic behavior of solutions for a Rao-Nakra sandwich beam equation with time-varying weights and frictional damping terms acting complementarily in the domain. We studied the effect of the three damping on the asymptotic behavior of the energy function. Under nonrestrictive on the growth assumption on the frictional damping terms, we established exponential and general energy decay rates for this system by using the multiplier approach. The results generalized some earlier decay results on the Rao-Nakra sandwich beam equation.



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