Decaimiento Polinomial y Modelaje Numérico Computacional de la viga de Timoshenko con disipación parcial

• Acasiete Quispe, Frank Henry ^[2] ; Pino Romero, Neisser ^[1]
  1. [1] Universidad Nacional Mayor de San Marcos

     Universidad Nacional Mayor de San Marcos

     Perú

     
  2. [2] Laboratorio Nacional de Computación Científica, MCTIC, Petrópolis- Brasil
• Localización: Selecciones Matemáticas, ISSN-e 2411-1783, Vol. 5, Nº. 2 (Agosto - Diciembre), 2018, págs. 164-174
• Idioma: español
• DOI: 10.17268/sel.mat.2018.02.04
• Títulos paralelos:
  • Polynomial Decay and Computational Numerical Modeling of Timoshenko beam with partial dissipation
• Enlaces
  • Texto completo (pdf)
• Resumen
  • español

    Estudiamos la estabilización uniforme de una clase de sistemas Timoshenko con disipación parcial de la viga. Nuestro resultado principal es demostrar que el semigrupo asociado a este modelo tiene decaimiento polinomial. Demostramos que el semigrupo decae polinomialmente a cero. El sistema decae polinomialmente con una tasa que depende de los coeficientes del problema. Además mostramos el modelamiento computacional del sistema mostrando los resultados obtenidos teóricamente.

  • English

    We studied the uniform stabilization of a class of Timoshenko systems with partial dissipation of the beam. Our main result is to prove that the semigroup associated to this model has polynomial decay. Moreover, we prove that the semigroup decays polynomially to zero. The system decays polynomially with rate dependingon the coeficients of the problem. We also show the computational modeling of the system showing the results obtained theoretically.

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