Fundamental response in the vibration control of buildings subject to seismic excitation with ATMD

• Fidel Jara Huanca ^[1] ; Obidio Rubio Mercedes ^[2] ; Julio Cesar Ruiz Claeyssen ^[3]
  1. [1] Universidad Nacional de Ingeniería

     Universidad Nacional de Ingeniería

     Perú

     
  2. [2] Universidad Nacional de Trujillo

     Universidad Nacional de Trujillo

     Provincia de Trujillo, Perú

     
  3. [3] Universidade Federal do Rio Grande do Sul

     Universidade Federal do Rio Grande do Sul

     Brasil

     

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• Localización: Selecciones Matemáticas, ISSN-e 2411-1783, Vol. 10, Nº. 1, 2023, págs. 147-157
• Idioma: inglés
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• Resumen

  • The linear quadratic regulator for vibration systems subject to seismic excitations is discussed in his own physical newtonian space as a second-order linear differential system with matrix coefficients. The linear quadratic regulator leads to a fourth-order system and second-order transversality conditions. Those systems are studied with a matrix basis generated by a fundamental matrix solution.