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Nonlinear static analysis (push over) with seismic isolators in the workshops of the Technic= al University of Ambato

 

3D"Interfaz
 


1=

Byron Leonardo Lopez Sánchez

Universi= dad Técnica de Ambato

2=

Josè Andrès Sanc= hez Ruales

Universidad Técnica de Ambato

3=

Christian Fabián Frías Córdova

Universi= dad Técnica de Ambato

4=

Edmundo Sebastiàn Villegas Suarez

 =

 =

 

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Artículo= de Investigación Científica y Tecnológica

Enviado: 14/10/2023

Revisado: 09/11/2023

Aceptado: 10/12/2023

Publicado:24/01/2024

DOI: https://doi.or= g/10.33262/cienciadigital.v8i1.2836     

 

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Cítese:

 

 

Lopez Sánchez, B. L., Sanchez Ruales, J. A., Frías Córdova, C. F., & Villegas Suarez, E. S. (2024). Análisis estático no lineal (push over) con aisladores sísmicos en los talleres de la Universi= dad Técnica De Ambato . Ciencia Digital, 8(1), 75-98. https://doi.org/10.= 33262/cienciadigital.v8i1.2836

 

 

 

CIENCIA DIGITAL, es una revista multidisciplinaria, trimestral, que se publicará en soporte electrónico t= iene como misión contribuir a la   formación de profesionales competentes con visión humanística y crítica que sean capaces de exponer = sus resultados investigativos y científicos en la misma medida que se promueva mediante su intervención cambios positivos en la sociedad. https://cienci= adigital.org

3Deditorial1.pngLa revista es editada por la Editorial Ciencia Digital (Editorial de prestigio registrada en la Cámara Ecuatoriana de Libro con No de Afiliación 663) www.celibro.org.ec

 

 

 

Esta revista e= stá protegida bajo una licencia Creative Commons Atribución-NoComercial-CompartirIgual 4.0 International. Copia de la licencia: https://creativecommons.org/licenses/by-nc-sa/4.0/deed.es

 

Palabras claves: Análisis estático, push over, aisladores, sísmicos talleres

 

 

Resumen

En el presente artículo se realiza un análisis del comportamiento estructural de dos estructuras con y sin la utilización de aisladores sísmicos. La una estructura se encuentra en el taller de la Facultad de Ingeniería Civil y= Mecánica (FICM) mientras que la otra está en el taller de la Facultad de Ingenierí= a en Sistemas, Electrónica e Industrial (FISEI), las dos pertenecientes a la Universidad Técnica de Ambato. Las estructuras tienen un sistema estructu= ral de pórticos especiales sismo resistentes de acero laminado en caliente con diagonales rigidizadoras. Primeramente, se realizó un marco metodológico.= Posteriormente, para el análisis del comportamiento estructural se muestran los resultado= s del período fundamental de vibración, validación del análisis dinámico, deriv= as de piso, análisis estático no lineal, curva de capacidad, punto de desemp= eño, características del aislador elastomérico con núcleo de plomo, modelamien= to en el software de ingeniería ETABS, comparación de resultados del período= de vibración, comparación de derivas inelásticas, comparación de los desplazamientos, entre otros. Se concluye que, para el taller de la FICM = la estructura empotrada presentó un desplazamiento máximo para un sismo de diseño de 1.162 cm, en la estructura con base asilada se redujo un 50.76%= con un desplazamiento de 0.572 cm; mientras que, para el taller FISEI la estr= uctura empotrada presentó un valor de 1.294 cm, y con la implantación de aislado= res se reduce un 63.49% con un valor de 0.473 cm. Por lo tanto, con la incorporación de aisladores sísmicos las estructuras tienen mayor capacid= ad de disipación de energía.

 

 

K= eywords: Static analysis, push over, isolators, seismic workshops<= o:p>

<= o:p> 

Abstract

In this article,= an analysis of the structural behavior of two structures with and without the use of seismic isolators is carried out. One structure is located in the workshop of the Faculty of Civil and Mechanical Engineering (FICM) while = the other is in the workshop of the Faculty of Systems, Electronic and Indust= rial Engineering (FISEI), both belonging to the Technical University of Ambato. The structures have a structural system of special earthquake-resistant hot-rolled steel frames with stiffening diagonals. First, a methodological framework was created. Subsequently, for the analysis of structural behav= ior, the following are presented: the results of the fundamental period of vibration, validation of the dynamic analysis, floor drifts, nonlinear st= atic analysis, capacity curve, performance point, characteristics of the elastomeric insulator with lead core, modeling in the ETABS engineering software, comparison of vibration period results, comparison of inelastic drifts, comparison of displacements, among others. It is concluded that, = for the FICM workshop, the embedded structure presented a maximum displacement for a design earthquake of 1.162 cm, in the structure with a fixed base it was reduced by 50.76% with a displacement of 0.572 cm; while, for the FIS= EI workshop, the embedded structure presented a value of 1.294 cm, and with = the implementation of insulators it is reduced by 63.49% with a value of 0.473 cm. Therefore, with the incorporation of seismic isolators, the structures have a greater energy dissipation capacity.

 

 

 

Introducció= n

El Ecuador = se encuentra en una región con un alto peligro de eventos sísmicos y volcánico= s, teniendo como último evento el 16 de abril de 2016 en las provincias de Man= abí y Esmeraldas un sismo de magnitud 7.8. El sismo causó alrededor de 700 fallecidos, más de 7000 heridos, 22.000 personas refugiadas, edificios destruidos o inhabitables y pérdidas económicas de alrededor de tres mil millones de dólares (Instituto Geofísico – EPN, 2020).

En el Campus Universitario del Valle de los Chillos, Cantón Rumiñahui, Provincia de Pichincha, se encuentran estructuras con aisladores sísmicos. La construcci= ón tiene una superficie de 23338 metros cuadrados y se compone de 8 bloques arquitectónicos, de los cuales, 6 incluyen aisladores sísmicos de triple péndulo de fricción FPT. Según la investigación de Aguiar & Pazmiño (20= 16) se espera que las experiencias realizadas sean útiles para los proyectistas= estructurales, ya que, la presencia de aisladores sísmicos ha contribuido al desarrollo de= la Ingeniería Sismo Resistente.

En el país = los talleres industriales no cumplen con todas las normas de construcción vigen= tes. Esta situación hace propicia para que los ingenieros estructurales deban te= ner en cuenta la importancia del uso de aisladores de base, más aún, si el Ecua= dor se encuentra en el cinturón de fuego del Pacífico.

La falta de estudios y evaluaciones del momento de ocurrencia de una actividad sísmica = ha hecho que sea necesario la aplicación de criterios de análisis estático no lineal en los talleres de la Facultad de Ingeniería Civil y Mecánica y de la Facultad de Ingeniería en Sistemas Electrónica e Industrial, utilizando un software especializado de elementos finitos (ETABS), basado en normativas de construcción vigentes. Un análisis estático no lineal se utiliza para comprender de manera aproximada cómo funcionan las estructuras cuando se ven sometidas a movimientos sísmicos y sobrepasan su capacidad elástica.

La realizac= ión de una evaluación estructural es fundamental, por lo que, se llevó a cabo un análisis estático no lineal mediante el uso de software de elementos finitos (ETABS), una revisión de todos los aspectos relacionados con el diseño y el estado actual de los talleres de la Facultad de Ingeniería Civil y Mecánica (FICM), así como, de la Facultad de Ingeniería en Sistemas, Electrónica e Industrial (FISEI), cumpliendo con la norma ecuatoriana de la construcción<= span style=3D'mso-spacerun:yes'>  NEC 2015, así como con normas internaci= onales como AISC 360, FEMA 440 y AISC 358.

En la investigación se compararon los planos estructurales con las estructuras in situ, se realizaron ensayos no destructivos, se inspeccionó y midió los cordones de soldadura, para detectar discontinuidades en la superficie se aplicó tintas penetrantes, se inspeccionó componentes soldados mediante ens= ayos con ultrasonido y se realizó ensayos con martillo.

En la simul= ación se utilizó un aislador elastomérico de núcleo de plomo (LRB) con capas intercaladas de neopreno y placas de acero con un núcleo cilíndrico de plom= o en el centro. Las placas de acero proporcionan rigidez vertical para resistir cargas verticales, mientras que el núcleo de plomo proporciona rigidez horizontal para evitar el movimiento durante cargas de servicio y disipa energía en forma de calor al deformarse.

En función = de la Norma Prequalified Connections for Special and Intermediate Steel Moment Frames for Seismic Applications (ANSI/AISC, 2016) se analizaron las juntas soldadas de las conexiones de patín soldado sin refuerzo y alma soldada (WU= F-W). Además, con la información recolectada se simu= ló las estructuras mediante el software ETABS 2018.

Por último,= se llevó a cabo una comparación del comportamiento estructural de los talleres= de la FICM y de la FISEI, que están actualmente construidos bajo un sistema de pórticos especiales sismoresistentes de acero laminado en caliente con diagonales rigidizadores y conexiones precalificadas (conexión de patín sod= ado sin refuerzo y alma soldada (WUF-W).

En la prese= nte investigación se realizó un diseño utilizando aisladores sísmicos en las es= tructuras de acero, ya que, mejoran el comportamiento de las mismas y consecuentement= e se protege la vida de todos los ocupantes.

El objetivo= de la presente investigación es el de realizar un análisis estático no lineal (push over) con aisladores sísmicos en los talleres de la Universidad Técni= ca De Ambato.

En el desar= rollo de este tema de investigación se utilizó una metodología aplicativa y descr= iptiva, debido a que utilizó herramientas computacionales para realizar los diagnósticos estructurales ante eventos sísmicos de las dos estructuras a estudiar. Las investigaciones y ensayos se realizaron en los talleres de la= FICM y de la FISEI, ubicadas en el Campus Huachi de la Universidad Técnica de Am= bato.

Marco metodológico

Hipótesis

El comportamiento estructural de los talleres de la FICM y de la FISEI, con la inclusión de aisladores sísmicos, mediante análisis estático no lineal (PUSH OVER), será mejor en comparación al comportamiento de esas mismas estructur= as sin la inclusión de aisladores sísmicos.

Población

El estudio y los ensayos se realizaron en los talleres de la FICM y de la FISEI, ubicado= s en los predios de la Universidad Técnica de Ambato, Campus Huachi Chico.<= /o:p>

Recolección de información

Se realizó = un trabajo de campo donde se recolectó in situ información estructural de los talleres. Las investigaciones seleccionadas en el transcurso del desarrollo= del proyecto de investigación ayudaron en interpretación de los resultados obtenidos.

Procesamiento de información

La informac= ión que fue recolectada, seleccionada y procesada sirvió para realizar los diseños estructurales de los talleres. Con los diseños se procedió a la simulación = mediante un análisis PUSH OVER en ETABS 2018, con y sin la inclusión de aisladores sísmicos. El propósito de la simulación fue para determinar el estado actua= l de las estructuras y con la inclusión de aisladores sísmicos analizar su compo= rtamiento

Resultados alcanzados

En el análi= sis estructural se determino el nivel de riesgo que presentan los talleres de la FICM y de la FISEI. También fueron calculadas las características estructur= ales ante un posible fenómeno sísmico.

Planos Arquitectónicos=

Se obtuvo l= os respectivos planos arquitectónicos y planos estructurales de los talleres d= e la FICM y de la FISEI. Los planos fueron proporcionados por la Dirección de Infraestructura Física de la Universidad Técnica de Ambato.

En la Figur= a 1 Render del modelo del taller de la FICM se presenta el diseño estructural realizado en el software ETABS 2018.

Figura 1. Render del model= o del taller de la FICM

Fuente: Elaboración propia basada= en (ETABS, 2018)

En la Figur= a 2 Render del modelo del taller de la FISEI se presenta el diseño estructural realizado en el software ETABS 2018.

Figura 2. Render del model= o del taller de la FISEI

Fuente: Elaboración propia basada= en (ETABS, 2018)

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Resultados =

Resultados de la estructura analizada con base fija

Análisis lineal de la estructura en estado actual

El software ETABS se utilizó para modelar el taller de la FICM y el taller de la FISEI.= El análisis lineal se realizó siguiendo los estándares establecidos en la Norm= a Peligro Sísmico Diseño Sismo Resistente (Norma Ecuatoriana de la Construcción, 2014).

 

 

Período fundamental de vibración:

En la verificación del período de vibración (T) se debe comprobar que el valor de= T que se obtiene por el método 2 mediante análisis lineal, como se presenta e= n la Tabla 1 Período Fundamental Método 2, no supere en un 30% al valor de Ta obtenido del método 1

Tabla 1. Período Fundamen= tal Método 2

Fuente: Elaboración propia

Debido a qu= e el valor del período es menor que el 30% del período obtenido por el método 1 = los dos talleres cumplen con este análisis estructural como se muestra en la Ta= bla 2 Verificación del período fundamental.

Tabla 2. Verificación del período fundamental

Fuente: Elaboración propia

Participaci= ón de la masa modal

Es necesario verificar que los dos primeros modos de vibración tengan un movimiento traslacional y que el tercer modo de vibración se espera que sea torsional = para que la estructura funcione correctamente.

Las dos estructuras muestran un comportamiento traslacional en los dos primeros mod= os de vibración y un comportamiento torsional en el tercer modo de vibración, = por lo que, no hay problemas de torsión. La Tabla 3 muestra los factores de participación de masa nodal y % de torsión

 

Tabla 3. Factores de part= icipación de masa modal y % de torsión

Fuente: Elaboración prop= ia

Acumulación= de la masa modal

Según la No= rma Ecuatoriana de la Construcción todos los modos de vibración deben acumulars= e en cada una de las direcciones horizontales el 90% de la masa total de la edificación. La acumulación del 90% de masa para el taller FICM se da en el onceavo modo de vibración para las dos direcciones en X e Y. Para el taller= FISEI se da la acumulación en el décimo para la dirección X y en el onceavo modo = para la dirección Y. Para ambos casos cumplen ya que se encuentran en los modos = establecidos para el análisis.

Validación = del análisis dinámico

La Norma Ecuatoriana de la Construcción establece en la sección 6.2.2 el valor límite del cortante dinámico cuando se realiza un análisis dinámico espectral. Este valor que se aplica en la base de las estructuras no debe superar el 80% pa= ra estructuras regulares o el 85% para estructuras irregulares del cortante obtenido por el método estático.

La Tabla 4 = Validación del Análisis Dinámico presenta el cortante basal dinámico en dirección X &a= mp; Y, el mismo que supera el 85% del cortante estático para estructuras irregulares validando el análisis dinámico.

Tabla 4. Validación del Análisis Dinámico

Fuente: Elab= oración propia

 

 

 

Derivas de piso

Derivas provocadas por el cortante estático

Las derivas inelásticas generadas por el cortante estático no supera el límite máximo d= el 2%. Presentando un valor máximo de 0.58% en la dirección Y para el Taller d= e la FICM y un valor máximo de 0.61% en la dirección Y para el taller de la FISE= I.

En la Figur= a 3 Derivas inelásticas por cortante estático del taller de la FICM se muestran los val= ores de derivas inelásticas por cortante estático de la estructura del taller.

Figura 3. Derivas inelásti= cas por cortante estático del taller de la FICM

Fuente: Elaboración prop= ia

En la Figur= a 4 Derivas inelásticas por cortante estático del taller de la FISEI se muestran los valores de derivas inelásticas por cortante estático de la estructura d= el taller.

Figura 4. Derivas inelásti= cas por cortante estático del taller de la FISEI

Fuente: Elaboración prop= ia

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 =

Derivas provocadas por el cortante dinámico

Las derivas inelásticas generadas por el cortante dinámico no supera el límite máximo d= el 2%. Presentando un valor máximo de 0.57% en la dirección Y para el Taller F= ICM y un valor máximo de 0.57% en la dirección Y para el taller FISEI.

En la Figur= a 5 Derivas inelásticas por cortante dinámico del taller FICM se muestran los valores de derivas inelásticas por cortante dinámico de la estructura del taller.

Figura 5. Derivas inelásti= cas por cortante dinámico del taller FICM

Fuente: Elaboración prop= ia

En la Figur= a 6 Derivas inelásticas por cortante dinámico del taller FISEI se muestran los valores de derivas inelásticas por cortante dinámico de la estructura del taller.

Figura 6. Derivas inelásti= cas por cortante dinámico del taller FISEI

Fuente: Elaboración prop= ia

Análisis es= tático no lineal

En primer lugar, se llevó a cabo un análisis estático no lineal para evaluar el desem= peño sísmico de las dos estructuras. El objetivo del análisis es determinar la c= urva de capacidad y obtener el punto de desempeño para los niveles de amenaza sísmica referenciados en la Norma Ecuatoriana de Construcción. Para lograr = este objetivo, se utiliza la metodología establecida en la Norma Improvement of Nonlinear Static Seismic Analysis Procedures FEMA 440 (Federal Emergency Management Agency, 2005).

Para las vi= gas, columnas y riostras, que son elementos que resisten cargas laterales, se colocan rotulas plásticas en los extremos de cada uno, indicando la zona do= nde se espera fluencia de la sección, lo que permite definir la capacidad individual de cada sección que integra la estructura. Según la Norma Prestandard and commentary for the seismic rehabilitation of buildings FEMA 356 (Federal Emergency Management Agency, 2000) se ubica entre el 5 % y el 95 %.

Asignación = de rótulas plásticas

Las rotulas plásticas se asignan a cada elemento que resiste las carg= as laterales como son vigas, columnas y riostras, estas están ubicadas en los extremos de cada una donde se espera la fluencia de la sección que permite definir la capacidad individual de cada sección que integra la estructura. = De acuerdo con la Norma Prestandard and commentary for= the seismic rehabilitation of buildings FEMA 356 se ubica a un 5% y al 95%.

Rotulas plásticas para vigas: Su asignación se toma a partir de lo descrito en el artículo ASCE 41-13: Seismic evaluation and retrofit rehabilitation of existing buildings (Pekelnicky et al., 2012), tomando en cuenta que estos elementos tienen un comportamiento a la flexión.

Rotulas plásticas para columnas: Su asignación se toma a partir de lo= descrito en el artículo ASCE 41-13: Seismic evaluation and retrofit rehabilitation of existing buildings (Pekelnicky et al., 2012), tomando en cuenta que estas secciones se comportan a flexo-compresión.

Rotulas plásticas de riostras: Su asignación se toma a partir de lo descrito en el artículo ASCE 41-13: Seismic evaluation and retrofit rehabilitation of existing buildings (Pekelnicky et al., 2012), tomando en cuenta que estos elementos tienen un comportamiento a tracción y compresión= .

Resultados del análisis estático no lineal Pushover=

Curva de capacidad

Como result= ado del análisis no lineal se determina la curva de capacidad para las dos dire= cciones de análisis para cada estructura, dicha curva representa la relación del co= rtante total en la base con su respectivo desplazamiento del último piso, hasta qu= e la edificación llegue al colapso.

La Figura 7= representa la curva de capacidad para el Taller FICM, donde la curva en la dirección X= se obtiene un cortante basal último de 1453.144 ton con un desplazamiento de 2= 9.46 cm y para la dirección Y el cortante basal último es de 1617.01 ton con un desplazamiento último de 21.45 cm. Los valores representan la capacidad máx= ima de la estructura una vez que pase este límite producirá el colapso de la mi= sma.

Figura 7. Curva de capacid= ad del Taller de la FICM

Fuente: Elaboración prop= ia

La Figura 8= Curva de capacidad del taller de la FISEI muestra en la dirección X un cortante b= asal último de 1413.52 ton con un desplazamiento de 25.0 cm, mientras en la dirección Y el cortante basal último es de 1608.75 ton con un desplazamiento último de 16.76 cm. Los valores representan la capacidad máxima de la estructura, una vez que sobrepase este límite se producirá el colapso de la misma.

Figura 8. Curva de capacid= ad del taller de la FISEI

Fuente: Elaboración prop= ia

Punto de desempeño

Mediante el método de la linealización equivalente propuesto por la Norma de la Federal Emergency Management Agency (2005) se determinan los puntos de desempeño. El método consiste en un procedimiento gráfico que compara la capacidad de la estructura para resistir fuerzas laterales con la demanda sísmica. Los valo= res de desplazamiento y fuerza de corte de cada punto de desempeño se obtuvieron del software ETABS 2018.

En la Tabla= 5 Puntos de desempeño en la dirección X del taller de la FICM se presentan los valor= es de cada punto de desempeño para la dirección X, con su valor de fuerza de c= orte y desplazamiento que corresponde a cada nivel de amenaza sísmica.

Tabla 5. Puntos de desemp= eño en la dirección X del taller de la FICM

Fuente: Elaboración prop= ia

En la Tabla= 6. Puntos de desempeño en la dirección Y del taller de la FICM se presentan los valores de cada punto de desempeño para la dirección Y, con su valor de fue= rza de corte y desplazamiento que corresponde a cada nivel de amenaza sísmica.<= o:p>

Tabla 6. Puntos de desemp= eño en la dirección Y del taller de la FICM

Fuente: Elaboración prop= ia

En la Tabla= 7 Puntos de desempeño en la dirección X del taller de la FISEI se presentan los valo= res de cada punto de desempeño para la dirección X, con su valor de fuerza de c= orte y desplazamiento que corresponde a cada nivel de amenaza sísmica.

Tabla 7. Puntos de desemp= eño en la dirección X del taller de la FISEI

Fuente: Elaboración prop= ia

En la Tabla= 8 Puntos de desempeño en la dirección Y del taller de la FISEI se presentan los valo= res de cada punto de desempeño para la dirección Y, con su valor de fuerza de c= orte y desplazamiento que corresponde a cada nivel de amenaza sísmica.

 

Tabla 8. Puntos de desemp= eño en la dirección Y del taller de la FISEI

Fuente: Elaboración prop= ia basada

Resultados de la estructura analizada con aisladores sísmicos

Características del aislador elastomérico con núcleo de plomo para los talleres de la FICM y la FISEI

Para el análisis sísmico se va a utilizar el aislador de tipo elastomérico con núcl= eo de plomo. En la Tabla 9 se presentan las propiedades geométricas del aislad= or.

Tabla 9. Propiedades geométricas del aislador

Fuente: Catalogo de proveedor Dynamic Isolation Systems

En la Tabla= 10 se presentan las características físicas y mecánicas del aislador elastomér= ico con núcleo de plomo para los talleres de la FICM y= la FISEI, además se presentan las propiedades dinámicas que se utilizó para la modelación en el software ETABS 2018.

Tabla 10. Características físicas y mecánicas de aislador elastomerico con núcleo de plomo.

Fuente: Elaboración propia

Modelamiento en el software de ingeniería ETABS

La comproba= ción de los resultados con la implantación de los aisladores se realiza mediante= la modelación en el software ETABS 2018, para lo cual, se coloca los aisladore= s en la estructura a través de un Link/ Support properties,

En la Figur= a 9 Modelación del taller de la FICM base aislada se muestra la modelación en tres dimensi= ones con el software de ingeniería estructural ETABS.

Figura 9. Modelación del t= aller de la FICM base aislada

Fuente: Elaboración propia basada= en (ETABS, 2018)

En la Figur= a 10 Modelación del taller de la FISEI base aislada se muestra la modelación en = tres dimensiones con el software de ingeniería estructural ETABS.

Figura 10. Modelación del t= aller de la FISEI base aislada

Fuente: Elaboración propia basada= en (ETABS, 2018)

Resultados = del análisis estructural

Período de vibración fundamental de la estructura aislad= a:

Las siguien= tes tablas muestran períodos altos debido al uso de aisladores de base. Las mas= as que participan en los modos de traslación deben representar al menos el 90%= de su participación. Si no lo hacen, se deberá realizar una nueva distribución= de sus rigideces.

Los dos primeros modos de vibración de los talleres de la   FICM tienen un movimiento traslacional. La dirección X y la dirección Y tienen una participación superior al 90% en el segundo modo. Además, el tiempo de análisis es T =3D 2.824 s.

En la Tabla= 11 se presentan los modos de vibración y participación de masas del taller de = la FICM con aisladores.

Tabla 11. Modos de vibración y participación de masas del tal= ler de la FICM con aisladores.

Fuente: Elaboración prop= ia

Los dos primeros modos de vibración de los talleres de la   FISEI producen un movimiento traslacional, mientras que el terc= er modo presenta una participación mayor al 90% para la dirección X y el segun= do modo para la dirección Y. Además, el tiempo de análisis es de T =3D 2.798 s= . En la Tabla 12 se presentan los modos de vibración y participación de masas del Taller FISEI con aisladores.

Tabla 12. Modos de vibraci= ón y participación de masas del Taller FISEI con aisladores

Fuente: Elaboración prop= ia

Comparación de resultados

-      = Comparación de resultados del período de vibración:

En la Tabla= 13 se presentan los resultados del período de vibración de los dos talleres pa= ra cada sistema estructural. Como se puede observar se genera un incremento en= los períodos de vibración de los dos talleres con los aisladores, ya que, este análisis considera la flexibilidad en el nivel donde se ubicó el aislador formando un modelo de acoplamiento uniforme entre la base y el nivel del aislador. Esto produce un modelo más flexible en relación con los talleres = de base fija.

Tabla 13. Período de vibra= ción para los diferentes sistemas estructurales

Fuente: Elaboración prop= ia

-      = Comparación de derivas inelásticas:

Para compar= ar los dos sistemas analizados, la estructura empotrada en su base y la estruc= tura aislada, las derivas de piso son un parámetro crucial. Las máximas derivas = de piso del sistema empotrado se determinaron por el espectro sismo de diseño (DBE) y el espectro sismo máximo considerado (MCE) para cada dirección de análisis. Al comparar estas derivas con las del sistema aislado se puede ver que presenta una reducción en las mismas.

En la Figur= a 11 Derivas inelásticas del taller de la FICM convencional y aislado en direcci= ón X se observa que para una estructura empotrada la deriva máxima es del 0,22% = en el segundo piso. Cuando se implementan los aisladores se observa una reducc= ión del 64% en un sismo de diseño con un valor máximo de 0,08%, mientras que, p= ara un sismo máximo considerado, la reducción es del 45% con un valor máximo de 0,12%.

Figura 11. Derivas inelásticas del taller de la FICM convenci= onal y aislado en dirección X

3D"Gráfico,

Fuente: Elaboración propia

En la Figur= a 12 Derivas inelásticas del taller de la FICM convencional y aislado en direcci= ón Y se observa un valor máximo de deriva de 0,58% en el tercer piso para una estructura empotrada, mientras que con la implementación de aisladores se observa una reducción del 62% en un sismo de diseño con un valor máximo de 0,22%, y una reducción del 43% en un sismo máximo considerado con un valor máximo de 0,33%.

Figura 12. Derivas inelásticas del taller de la FICM convencio= nal y aislado en dirección Y

3D"Gráfico,

Fuente: Elaboración prop= ia

En la Figur= a 13 Derivas inelásticas del taller de la FISEI convencional y aislado en direcc= ión X se observa que la estructura empotrada tiene un valor máximo de deriva de 0,26% en el primer piso, mientras que la implementación de aisladores reduc= e un 69% para un sismo de diseño con un valor máximo de 0,08%, y para un sismo máximo considerado se reduce un 58% con un valor máximo de 0,11%.

Figura 13. Derivas inelásticas del taller de la FISEI convencional y aislado en dirección X

Fuente: Elaboración prop= ia

En la Figur= a 14 Derivas inelásticas del Taller de la FISEI convencional y aislado en direcc= ión Y se observa que la estructura empotrada presenta un valor máximo de deriva= del 0,61% en el segundo piso, mientras que la implementación de aisladores prod= uce una reducción del 64 % en un sismo de diseño con un valor máximo del 0,22%,= y una reducción del 46 % en un sismo máximo considerado con un valor máximo d= el 0,33%. Todos estos resultados cumplen con los valores especificados en NEC-= 15. 4.2.5.5.

Figura 14. Derivas inelásticas del Taller de la FISEI convenci= onal y aislado en dirección Y

Fuente: Elaboración prop= ia

-      = Comparación de los desplazamientos máximos

Se determina los desplazamientos máximos obtenidos por efecto del sismo en dirección X e= Y, los dos resultados son comparados con respecto a la estructura con base emp= otrada considerando que el edificio se moverá, aunque el mismo se encuentre aislad= a.

En las siguientes figuras se puede observar que los desplazamientos en la estructu= ra empotrada en la base son aproximadamente el doble a comparación con la estructura con aislación, tanto con el sismo de diseño como también para el sismo máximo c= onsiderado; permitiendo obtener una mejor idea del comportamiento de la estructura fren= te a un sismo.

Desplazamiento del taller FICM:

En la Tabla= 14 Desplazamiento en la dirección X y porcentaje de reducción con sistema de aislación en el taller de la FICM con un sismo de diseño se obtiene un desp= lazamiento máximo de 0.572 cm reduciendo un 50.76% en comparación de una estructura em= potrada y para un sismo máximo considerado un valor máximo de 0.858 con una reducci= ón del 26.15%.

 

 

 

 

Tabla 14. Desplazamiento e= n la dirección X y porcentaje de reducción con sistema de aislación en el taller= de la FICM

Fuente: Elaboración prop= ia

En la Tabla= 15 Desplazamiento en la dirección Y y porcentaje de reducción con sistema de aislación en el taller de la FICM con un sismo de diseño se obtiene un desp= lazamiento máximo de 1.440 cm reduciendo un 46.70 % en comparación de una estructura empotrada y para un sismo máximo considerado un valor máximo de 2.159 cm con una reducción del 20.05 %.

Tabla 15. Desplazamiento e= n la dirección Y y porcentaje de reducción con sistema de aislación en el taller= de la FICM

Fuente: Elaboración prop= ia

Desplazamiento del Taller FISEI:

En la Tabla= 16 Desplazamiento en la dirección X y porcentaje de reducción con sistema de aislación en el taller de la FISEI con un sismo de diseño se obtiene un desplazamiento máxi= mo de 0.473 cm reduciendo un 63.49% en comparación de una estructura empotrada= y para un sismo máximo considerado un valor máximo de 0.921 cm con una reducc= ión del 28.82 %.

Tabla 16. Desplazamiento e= n la dirección X y porcentaje de reducción con sistema de aislación en el taller= de la FISEI

Fuente: Elaboración prop= ia

En la Tabla= 17 Desplazamiento en la dirección Y y porcentaje de reducción con sistema de aislación en el taller de la FISEI con un sismo de diseño se obtiene un desplazamiento máxi= mo de 1.368 cm reduciendo un 53.85 % a comparación de una estructura empotrada= y para un sismo máximo considerado un valor máximo de 2.052 cm con una reducc= ión del 30.78 %.

Tabla 17. Desplazamiento e= n la dirección Y y porcentaje de reducción con sistema de aislación en el taller= de la FISEI

Fuente: Elaboración prop= ia

Conclusione= s

·&nb= sp;        Para el Taller FIC= M la estructura empotrada presentó un desplazamiento máximo para un sismo de dis= eño de 1.162 cm, para la estructura con base fija se redujo un 50.76% con un desplazamiento de 0.572 cm. Mientras que para el taller FISEI presenta para= la estructura empotrada un valor de 1.294 cm, y con la implantación de aislado= res se reduce un 63.49% con un valor de 0.473 cm. Por lo tanto, con la incorporación de aisladores sísmicos las estructuras tienen mayor capacidad= de disipación de energía.

·      =    Según el análisis lineal realizado a la estructura del taller de la FICM cumple con los requisitos establecidos por la Norma Ecuatoriana de la Construcción. Su per= íodo fundamental de vibración es de 0.317 segundos, menor que el 30% del período obtenido por el método 1, y su comportamiento traslacional es adecuado en l= os dos primeros modos de vibración.

·      =    Según el análisis lineal realizado a la estructura del taller de la FISEI, la estructura cump= le con los requisitos establecidos por la Norma Ecuatoriana de la Construcción= . Su período fundamental de vibración de la estructura es de 0,292 segundos, lo = que es menor al 30% del período obtenido por el método 1. En el chequeo de tors= ión, la estructura presenta un buen comportamiento traslacional en los dos prime= ros modos de vibración.

·      =    La curva de capaci= dad para las dos direcciones del análisis y el punto de desempeño se obtuvieron= a partir del análisis estático no lineal de los talleres de la FICM y de la F= ISEI. Estos resultados indican que las dos estructuras cumplen con los niveles de amenaza establecidos por el Comité Visión 2000.

·      =    Se determinó el dimensionamiento del aislador elastomérico con núcleo de plomo LRB con las especificaciones de la noma ASCE 7-16, sus propiedades son obtenidas del catálogo del proveedor Dynamic Isolation Systems con un diámetro de la goma= de 520 mm, diámetro del núcleo de plomo de 90 mm, espesor de la goma de 120 mm= y el espesor de cada capa de goma de 5 mm.

·      =    El período de la estructura con aislador LRB (Elastomérico con núcleo de plomo) se increment= ó a comparación de la estructura empotrada, para el taller FICM con un período aislado de 2.824 segundos y el taller FISEI con un valor de 2.798 segundos,= por lo que, los aisladores son capaces de disminuir la demanda sísmica, con lo = cual, es posible diseñar estructuras elásticas que ya no requieren incursionar en= el rango inelástico.

·      =    Se verifica las derivas de piso de las dos estructuras, concluyendo que para el taller FICM= con un sismo de diseño se redujo un 64% a comparación de la estructura empotrad= a y para un sismo máximo considerado se redujo un 45%, mientras para el taller FISEI se obtuvo una reducción del 69% para un sismo de diseño y un 58% para= un sismo máximo.

Conflicto de intereses

Los autores declaran no tener conflictos de interés.

Referencias bibliográficas

Instituto Geofísico - EPN. (16= de abril de 2020). Instituto Geofísico - EPN. Obtenido de https://www.igepn.edu.ec/interactuamos-con-usted/1810-cuatro-anos-despues-d= el-terremoto-de-pedernales-un-testimonio-sobre-el-peligro-sismico-en-el-ecu= ador

Aguiar, R., & Pazmiño, E. (2016). Detalles constructivos debido a los aisladores sísmicos en las construcciones de la Universidad de Fuerzas Armadas ESPE, en Ecuador. Re= vista Internacional de Ingeniería de Estructuras, vol. 21, pp. 217-256.<= /o:p>

ANSI/AISC. (2016)= . Prequalified Connections for Special a= nd Intermediate Steel Moment Frames for Seismic Applications. USA: ANSI/AI= SC 358-16.

Computers and Structures, Inc. (2018). ETABS. California: CSI.

Norma Ecuatoriana de la Construcción. (2014). Peligro Sísmico Diseño Sismo Resistente. Ecuado= r.

Federal Emergency Management Agency. (2005). Improvement of Nonlin= ear Static Seismic Analysis Procedures FEMA 440. Washington: FEMA.

Federal Emergency Management Agency. (2000). Prestandard and commentary for the seismic rehabilitation of buildi= ngs FEMA 356. Washington: FEMA.

Pekelnicky, R., Engineers, S. D., Chris Poland, S. E., & Engineer= s, N. D. (2012). ASCE 41-13: Seismic evaluation and retrofit rehabilitation of existing buildings. Proceedings of = the SEAOC.

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El artículo que se publica es de exclusiva responsabilidad de los autores y no necesariamente reflejan el pensamiento de la Revista Concienc= ia Digital.

 

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El artículo queda en propiedad de la revista y, por tanto, su publicación parcial y/o total en otro medio tiene = que ser autorizado por el director de la Revista Conciencia Digital.

 

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