Terrestrial laser scanning and limit analysis of masonry arch bridges

Abstract Masonry arches are one of the most common and extended structural shapes present in the worldwide architectural heritage. When handling with these structures at least two demands are addressed to the scientific community: (i) development of reliable and affordable methods for documenting historic infrastructures and (ii) improvement of structural analysis for appraising the actual structural condition of the bridge. In relation to the first item, 3D laser scanning is an exponent of the evolution of the non contact techniques for built up structures survey and documentation. In relation to the structural stage, the limit analysis is still the most extended method among engineers and technicians and some of the most common software package for masonry arch bridges work within the assumptions of limit analysis. However computations should be adapted to work on the base of the real geometry instead of on idealized geometry in order to benefit from the advanced 3D surveying techniques and get more reliable results. In this article we describe a methodology based on using TLS to obtaining the real 3D geometry of the whole bridge and the arches. The collapse load value and position, as well as the hinges position and reaction forces are obtained within the assumptions of the limit analysis but on the base of the resulting survey. The methodology is applied in a mediaeval bridge.

[1]  Santiago Sánchez-Cervera Huerta,et al.  The Analysis of Masonry Architecture: A Historical Approach , 2008 .

[2]  Jacques Heyman,et al.  The stone skeleton , 1995 .

[3]  P. Lourenço,et al.  Three-dimensional limit analysis of rigid blocks assemblages. Part I: Torsion failure on frictional interfaces and limit analysis formulation , 2005 .

[4]  P. Arias,et al.  Terrestrial laser scanning used to determine the geometry of a granite boulder for stability analysis purposes , 2009 .

[5]  Henrique Lorenzo,et al.  3D Modeling and Section Properties of Ancient Irregular Timber Structures by Means of Digital Photogrammetry , 2007, Comput. Aided Civ. Infrastructure Eng..

[6]  Takeshi Oishi,et al.  Flying Laser Range Sensor for Large-Scale Site-Modeling and Its Applications in Bayon Digital Archival Project , 2008, International Journal of Computer Vision.

[7]  Hans-Gerd Maas,et al.  Automatic forest inventory parameter determination from terrestrial laser scanner data , 2008 .

[8]  Hojjat Adeli,et al.  A New Approach for Health Monitoring of Structures: Terrestrial Laser Scanning , 2007, Comput. Aided Civ. Infrastructure Eng..

[9]  L. Schueremans,et al.  The use of 3D-laser scanning in assessing the safety of masonry vaults—A case study on the church of Saint-Jacobs , 2009 .

[10]  Christian Freigang,et al.  La construcción medieval , 1999 .

[11]  Geraldine S. Cheok,et al.  Fast automatic registration of range images from 3D imaging systems using sphere targets , 2009 .

[12]  S. Fernández,et al.  Arcos, bóvedas y cúpulas. Geometría y equilibrio en el cálculo tradicional de estructuras de fábricaArcos, bóvedas y cúpulas. Geometría y equilibrio en el cálculo tradicional de estructuras de fábrica , 2004 .

[13]  E. González,et al.  Stability and repair works in a cave built with brick arches and vaults in Chinchón (Madrid) , 2009 .

[14]  Diego González-Aguilera,et al.  3D Digital Surveying and Modelling of Cave Geometry: Application to Paleolithic Rock Art , 2009, Sensors.

[15]  Luis M. Macareno,et al.  Analysis and characterization of the behaviour of a variable geometry structure , 2007 .

[16]  M. Crosetto,et al.  Deformation measurement using terrestrial laser scanning data and least squares 3D surface matching , 2008 .

[17]  Steffen Franke,et al.  Strain analysis of wood components by close range photogrammetry , 2007 .

[18]  P. Abrahams,et al.  Three-dimensional (3D) visualisation: the application of terrestrial laser scanning in the investigation of historical Scottish farming townships , 2009 .

[19]  Yahya Alshawabkeh,et al.  Developing a documentation system for desert palaces in Jordan using 3D laser scanning and digital photogrammetry , 2009 .

[20]  Hyun-Moo Koh,et al.  Toward a Balanced Heritage Management Plan for Old Stone Bridges Considering the Embedded Cultural Significance , 2009 .

[21]  Paul J. Besl,et al.  A Method for Registration of 3-D Shapes , 1992, IEEE Trans. Pattern Anal. Mach. Intell..

[22]  Paulo B. Lourenço,et al.  Computations on historic masonry structures , 2002 .

[23]  Luigi Gambarotta,et al.  Eccentrically loaded brickwork: Theoretical and experimental results , 2008 .

[24]  Georgios E. Stavroulakis,et al.  Influence of the geometry and the abutments movement on the collapse of stone arch bridges , 2008 .

[25]  Yuriy Reshetyuk,et al.  Self-calibration and direct georeferencing in terrestrial laser scanning , 2009 .