DYNAMIC ANALYSIS OF CONCRETE ARCH BRIDGES UNDER HIGH SPEED TRAIN LOADS ...

86 Pages·2012·2.46 MB·English

MASTER THESIS
DYNAMIC ANALYSIS OF CONCRETE ARCH
BRIDGES UNDER HIGH SPEED TRAIN LOADS
Case study: viaduct over the Almonte river
By:
Mar´ıa Mac´ıas Infantes
Civil Engenieer
Advisor:
Dr. Alejandro E. Mart´ınez Castro
Department of Structural Mechanics and Hydraulic Engineering
ETS de Caminos, Canales y Puertos
University of Granada
Granada, September 2017
ThisworkhasbeendoneasapartoftheMaster’sDegreeinStructures
at the University of Granada. The work has been supervised by Prof.
Dr. Alejandro E. Mart´ınez Castro, who has developed the main tool
used in this research. On this work I have included the results of my
ownwork.
The work presented here includes a review of the state of the art of
the methods to obtain the dynamic response of a bridge under high
speed train loads. A semi-analytic method proposed by the tutor of
this thesis has been used through a complete case study of a concrete
archbridge.
Mar´ıaMac´ıasInfantes
ii
Abstract
Thisworkanalysesthedynamicresponseofhigh-speedrailway(HSR)
bridges through a case study: the viaduct over the Almonte River on
theHSRlinefromMadridtoLisbon. Themainobjectiveistodevelop
a methodology for the dynamic analysis of HSR arch bridges based
on the semi-analytic method proposed by Martinez-Castro et al. and
analyzetheirspecificbehavior.
Firstly, it is refered the way the dynamic study of HSR bridges is
treatedininstructions. Alsothesemi-analyticmethodisdescribed.
Secondly, five different finite element models of the Almonte bridge
are developed, including one considering the soil-structure interac-
tion.
Finally, the dynamic response of the bridge is analysed through the
different models and conclusions are drawn on the suitability of the
differentmodels.
Keywords: high-speedrailwaybridges,dynamicanalysis,semi-analytic
method,dynamicimpedances,FiniteElementmodels.
iii
Resumen
El presente trabajo se encarga de analizar la respuesta dina´mica de
puentesdeferrocarrilparaaltavelocidad(AV)atrave´sdelestudiode
un caso pra´ctico: el viaducto sobre el r´ıo Almonte de la l´ınea de AV
Madrid-Lisboa. El objetivo principal es desarrollar una metodolog´ıa
paraelana´lisisdina´micodepuentesarcodeferrocarrilparaAVbasa-
daenelme´todosemi-anal´ıticopropuestoporMart´ınez-Castroetal.y
analizarsucomportamientoespec´ıfico.
En primer lugar se resume co´mo se aborda en la normativa el estu-
dio dina´mico de puentes de ferrocarril y se describe el me´todo semi-
anal´ıtico.
En segundo lugar se realizan cinco modelos diferentes de elementos
finitos del puente sobre el r´ıo Amonte, incluido uno considerando la
interaccio´nsuelo-estructura.
Por u´ltimo se analiza la respuesta dina´mica del puente a trave´s de los
diferentes modelos y se sacan conclusiones sobre la idoneidad de los
diferentesmodelos.
Palabras clave: Puentes de ferrocarril para alta velocidad, ana´lisis
dina´mico, me´todo semi-anal´ıtico, impedancias dina´micas, modelos
deElementosFinitos.
iv
Acknowledgements
IwouldliketoexpressmygratitudetoProf. Dr. AlejandroE.Mart´ınez
Castroforhisguidanceandforalltheknowledgeprovidedduringthis
months.
Dedicated to my family and my partner for all the support and en-
couragementtheyalwaysgiveme.
Muchasgracias.
v
Contents
Declaration ii
Abstract iii
Acknowledgement v
Contents vi
ListofFigures x
ListofTables xiii
1 Introduction 1
1.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1
1.2 Objectivesandmaincontributions . . . . . . . . . . . . . . . . . 5
1.3 Organizationofthisdocument . . . . . . . . . . . . . . . . . . . 6
2 Dynamicanalysisofrailwaybridges 7
vi
CONTENTS
2.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7
2.2 ThedynamicprobleminSpanishregulation . . . . . . . . . . . . 8
2.2.1 Envelopedofimpactcoefficientsmethod . . . . . . . . . 9
2.2.2 Actualtrainsimpactcoefficientmethod . . . . . . . . . . 9
2.2.3 Dynamicsignaturemethod . . . . . . . . . . . . . . . . . 9
2.2.4 Generaltimedomainintegrationmethod . . . . . . . . . 10
2.3 Approachestomovingloadproblems . . . . . . . . . . . . . . . 11
2.3.1 Researchandrecentpapers . . . . . . . . . . . . . . . . . 11
2.3.2 Theoreticalbackground: timedomainintegrationmethods 12
2.3.3 Step-by-stepintegrationmethods . . . . . . . . . . . . . 13
2.3.3.1 Disadvantages . . . . . . . . . . . . . . . . . . 15
3 Semi-analyticsolutionformovingload 16
3.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16
3.2 Formulationandsemi-analyticsolutionforbeams . . . . . . . . . 17
3.2.1 Governingequation . . . . . . . . . . . . . . . . . . . . . 18
3.2.2 Spatialdiscretization . . . . . . . . . . . . . . . . . . . . 19
3.2.3 Semi-analyticsolution . . . . . . . . . . . . . . . . . . . 22
3.3 Generalizationoftheformulation . . . . . . . . . . . . . . . . . . 26
3.4 Advantagesofthemethod . . . . . . . . . . . . . . . . . . . . . 27
vii
CONTENTS
4 Casestudy: Almonteriverviaduct 30
4.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30
4.2 AboutviaductovertheAlmonteriver . . . . . . . . . . . . . . . 32
4.3 Numericalmodels . . . . . . . . . . . . . . . . . . . . . . . . . . 35
4.3.1 Geometryandfiniteelementmesh . . . . . . . . . . . . . 38
4.3.2 Materialsanddeadloads . . . . . . . . . . . . . . . . . . 47
4.4 Dynamicanalysisintimedomain . . . . . . . . . . . . . . . . . . 48
4.4.1 Trafficloadsonbridges . . . . . . . . . . . . . . . . . . . 48
4.4.2 Serviceabilitylimitstaterequirements . . . . . . . . . . . 49
4.4.3 Settingsofthemodalanalysis . . . . . . . . . . . . . . . 49
4.4.4 Settingsofthesemi-analyticmethod . . . . . . . . . . . . 50
5 Results 51
5.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51
5.2 Modalanalysis . . . . . . . . . . . . . . . . . . . . . . . . . . . 52
5.3 1DmodelVs2Dmodel . . . . . . . . . . . . . . . . . . . . . . . 54
5.4 ArchmodelVsCompletemodel . . . . . . . . . . . . . . . . . . 59
5.5 ModelwithSSIVsModelwithoutSSI . . . . . . . . . . . . . . . 66
6 Conclusionsandfutureworks 68
6.1 Concludingremarks . . . . . . . . . . . . . . . . . . . . . . . . . 68
viii
CONTENTS
6.2 Futureworks . . . . . . . . . . . . . . . . . . . . . . . . . . . . 70
Bibliography 71
ix
List of Figures
1.1 Main events in the HSR history. Source: http://uic.org/
High-Speed-History. . . . . . . . . . . . . . . . . . . . . . . 2
1.2 MapoftheSpanishhigh-speedrailwaynetwork. Source: https:
//es.wikipedia.org/wiki/Archivo:HighSpeedSpain.svg. 3
3.1 Non-uniformbeamtraversedbyamovingload. . . . . . . . . . . 18
3.2 SignconventionfortheshearforceV(x,t),bendingmomentM(x,t)
andloadp(x,t). Source: [1]. . . . . . . . . . . . . . . . . . . . . 19
3.3 Positive nodal forces and moments in the linear element. Source:
[1] . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20
3.4 Lineloadandpost-processingpointsscheme. . . . . . . . . . . . 27
4.1 TheviaductovertheAlmonteriverinconstructionphase. Source:
FCCConstruccion,S.A.officialwebsite(http://www.ciudadfcc.
com/). . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31
4.2 Perspective drawing of the Almonte bridge. Source: construction
blueprints. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33
4.3 Main view, bird’s-eye view and arch cross-sections of the Al-
montebridge. Source: constructionblueprints. . . . . . . . . . . . 34
x