Elisabeth Scheibmeir NONLINEAR SEISMIC ANALYSIS OF A MASONRY ARCH BRIDGE Barcelona, 2012 Nonlinear seismic analysis of a masonry arch bridge DECLARATION Name: Elisabeth Scheibmeir Email: [email protected] Title of the Nonlinear seismic analysis of a masonry arch bridge Msc Dissertation: Supervisor(s): Luca Pelà Year: 2012 I hereby declare that all information in this document has been obtained and presented in accordance with academic rules and ethical conduct. I also declare that, as required by these rules and conduct, I have fully cited and referenced all material and results that are not original to this work. University: Universitat Politècnica de Catalunya Date: 16.07.2012 Signature: ___________________________ Erasmus Mundus Programme ADVANCED MASTERS IN STRUCTURAL ANALYSIS OF MONUMENTS AND HISTORICAL CONSTRUCTIONS i Nonlinear seismic analysis of a masonry arch bridge Erasmus Mundus Programme ADVANCED MASTERS IN STRUCTURAL ANALYSIS OF MONUMENTS AND HISTORICAL CONSTRUCTIONS ii Nonlinear seismic analysis of a masonry arch bridge ACKNOWLEDGEMENTS The present work has been developed at the Universitat Politècnica de Catalunya. Foremost the help of Luca Pelà and Pere Roca have made this study possible. Especially I would like to thank Mr. Luca Pelà for guidance, support and supervision. I would also like to thank all the lecturers who participated during the classes of the “Master of Structural Analysis of Monuments and Historical Buildings” in Guimarães from Sep. 2011 to March 2012 for sharing their great knowledge. This study has been carried out with the financial help of the Erasmus Mundus Program of the European Union, for which the author expresses its gratitude. Erasmus Mundus Programme ADVANCED MASTERS IN STRUCTURAL ANALYSIS OF MONUMENTS AND HISTORICAL CONSTRUCTIONS iii Nonlinear seismic analysis of a masonry arch bridge Erasmus Mundus Programme ADVANCED MASTERS IN STRUCTURAL ANALYSIS OF MONUMENTS AND HISTORICAL CONSTRUCTIONS iv Nonlinear seismic analysis of a masonry arch bridge ABSTRACT Seismic safety evaluation of existing masonry arch bridges in Italy is a major concern brought forward by recent earthquake events in 2009 and 2012. Standard computation methods for seismic safety evaluation include static and dynamic procedures, ranging from linear static to the more sophisticated non-linear dynamic analysis. The difficulty concerning historic masonry lies in the determination of representative material properties and the definition of an appropriate constitutive law, taking into account that masonry, formed as a composite of units and mortar, has some intrinsic complex mechanical properties especially in the nonlinear range. The present work determines the influence of different constitutive material laws and non- elastic parameters for masonry on the seismic performance level of an existing triple-arched masonry arch bridge built after World War II close to the village of San Marcello Pistoiese in Italy. Seismic evaluation has been carried out with the help of DIANA FE software applying the method of static pushover analysis; additionally a nonlinear dynamic analysis has been conducted. The different constitutive models applied include a simple Drucker-Prager criterion and a model combining Drucker-Prager in compression and smeared cracking in tension; furthermore two additional smeared cracking models which combine compressive crushing and tensile cracking incorporated in the FE code were analysed. The variation of the material parameters has been conducted following references found in relevant literature. It will be shown how different laws of energy dissipation and the variation of parameters in order to describe this dissipation qualitatively change the bridges behaviour regarding seismic impact. The study points the necessity of experimental data in the non-linear range for the correct assessment of the safety status and hints how small variations on the applied parameters can change the output of safety evaluation. Keywords: Nonlinear seismic analysis, masonry arch bridge, constitutive material laws Erasmus Mundus Programme ADVANCED MASTERS IN STRUCTURAL ANALYSIS OF MONUMENTS AND HISTORICAL CONSTRUCTIONS v Nonlinear seismic analysis of a masonry arch bridge Erasmus Mundus Programme ADVANCED MASTERS IN STRUCTURAL ANALYSIS OF MONUMENTS AND HISTORICAL CONSTRUCTIONS vi Nonlinear seismic analysis of a masonry arch bridge RESUMEN La evaluación de la seguridad sísmica de puentes de fábrica en Italia es una de las principales preocupaciones puestas de manifiesto por eventos sísmicos recientes en los años 2009 y 2012. Los métodos estándar de cálculo para la evaluación de la seguridad sísmica incluyen procedimientos estáticos y dinámicos, desde la estática lineal, hasta el más sofisticado análisis no lineal dinámico. La dificultad respecto a la albañilería histórica radica en la determinación de propiedades representativas y la definición de una ley constitutiva adecuada, teniendo en cuenta que la albañilería, formado como compuesto de unidades y mortero, tiene algunas propiedades mecánicas intrínsecamente complejas, especialmente en el rango no lineal. El presente trabajo determina la influencia de diferentes leyes constitutivos y parámetros inelásticos de materiales de fábrica sobre el nivel de desempeño sísmico de un puente existente de fábrica en tres arcos, construido después de la Segunda Guerra Mundial cerca del pueblo San Marcello Pistoiese en Italia. La evaluación sísmica se llevó a cabo con la ayuda del programa de elementos finitos DIANA aplicando el método de análisis estático no-lineal; adicionalmente se realizó un análisis dinámico no-lineal. Los diferentes modelos constitutivos aplicados incluyen un simple criterio de Drucker-Prager y un modelo que combina Drucker-Prager en compresión con craqueo manchado en tensión; por otro lado fueron analizados otros dos modelos de craqueo manchado que se componen de un comportamiento de trituración en compresión y craqueo en tensión, incorporados en el código de FE utilizado. La variación de los parámetros de los materiales se llevó a cabo siguiendo referencias de literatura pertinente. El estudio demuestra cómo las diferentes leyes de disipación de energía y la variación de los parámetros aplicados para simular esta disipación de forma cuantitativa cambian el comportamiento del puente ante las acciones sísmicas. El estudio señala la necesidad de obtener datos experimentales en el rango no-lineal para el análisis estructural correcto y cómo pequeñas variaciones en los parámetros aplicados cambian el resultado de la evaluación de seguridad. Palabras clave: Análisis no-lineal sísmica, puente de fábrica en arco, leyes constitutivas de albañilería Erasmus Mundus Programme ADVANCED MASTERS IN STRUCTURAL ANALYSIS OF MONUMENTS AND HISTORICAL CONSTRUCTIONS vii Nonlinear seismic analysis of a masonry arch bridge Erasmus Mundus Programme ADVANCED MASTERS IN STRUCTURAL ANALYSIS OF MONUMENTS AND HISTORICAL CONSTRUCTIONS viii
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