Anatomy of the vibration characteristics in old arch dams by random field theory

Abstract Determining vibration characteristics constitutes the first step in calibrating the finite element model in an old arch dam analysis. These characteristics provide the required information for a proper dynamic analysis of the coupled fluid-structure system used for risk assessment purposes. This paper investigates the detailed vibration characteristics of arch dams with heterogeneous material by applying random field theory. A group of six double-curvature arch dams are studied herein. The spatial material distribution using different correlation lengths is compared, and the response dispersion is quantified. An experimental meta-model design is developed for a specific class of dams, with an approximate analytical solution being derived. Ultimately, an iterative, random field-based system identification technique is proposed for old arch dams.

[1]  J. Rhazi Evaluation of Concrete Structures by the Acoustic Tomography Technique , 2006 .

[2]  Ignacio Escuder-Bueno,et al.  Advances on the Failure Analysis of the Dam—Foundation Interface of Concrete Dams , 2015, Materials.

[3]  Temel Türker,et al.  Vibration based damage identification of concrete arch dams by finite element model updating , 2014 .

[4]  Victor E. Saouma,et al.  Random finite element method for the seismic analysis of gravity dams , 2018, Engineering Structures.

[5]  C. Lanczos An iteration method for the solution of the eigenvalue problem of linear differential and integral operators , 1950 .

[6]  Colin Anthony Taylor,et al.  EFFECTIVE AMBIENT VIBRATION TESTING FOR VALIDATING NUMERICAL MODELS OF CONCRETE DAMS , 1999 .

[7]  Marco Cavazzuti,et al.  Optimization Methods: From Theory to Design Scientific and Technological Aspects in Mechanics , 2012 .

[8]  Charles R. Farrar,et al.  A summary review of vibration-based damage identification methods , 1998 .

[9]  Mohammad Amin Hariri-Ardebili,et al.  MCS-based response surface metamodels and optimal design of experiments for gravity dams , 2018, Structure and Infrastructure Engineering.

[10]  Armen Der Kiureghian,et al.  The stochastic finite element method in structural reliability , 1988 .

[11]  José M. Soria,et al.  Ambient modal testing of a double-arch dam: the experimental campaign and model updating , 2016 .

[12]  D. V. Griffiths,et al.  Risk Assessment in Geotechnical Engineering , 2008 .

[13]  I. U. Ojalvo,et al.  Vibration modes of large structures by an automatic matrix-reductionmethod , 1970 .

[14]  Victor E. Saouma,et al.  Probabilistic seismic demand model and optimal intensity measure for concrete dams , 2016 .

[15]  Alemdar Bayraktar,et al.  Estimation of Elasticity Modulus of a Prototype Arch Dam Using Experimental Methods , 2012 .

[16]  Ferri P. Hassani,et al.  Application of nondestructive evaluation techniques on concrete dams , 1997 .

[17]  George Stavrakakis,et al.  Assessment of the dynamic properties of highly saturated concrete using one-sided acoustic tomography. Application in the Marathon Dam , 2002 .

[18]  Michael K. Sharp,et al.  Dynamic Testing and Numerical Correlation Studies For Folsom Dam , 2005 .

[19]  L. Faravelli Response‐Surface Approach for Reliability Analysis , 1989 .

[20]  Alemdar Bayraktar,et al.  Finite element model calibration of berke arch dam using operational modal testing , 2011 .

[21]  Mahmoud R. Mivehchi,et al.  EFFECTIVE TECHNIQUES FOR ARCH DAM AMBIENT VIBRATION TEST: APPLICATION ON TWO IRANIAN DAMS , 2003 .

[22]  Patrick Paultre,et al.  Seismic Fragility of Concrete Gravity Dams with Spatial Variation of Angle of Friction: Case Study , 2016 .

[23]  A. Olsson,et al.  On Latin Hypercube Sampling for Stochastic Finite Element Analysis , 1999 .

[24]  G. Baecher Reliability and Statistics in Geotechnical Engineering , 2003 .

[25]  John F. Hall,et al.  Problems encountered from the use (or misuse) of Rayleigh damping , 2006 .

[26]  Luca Piroddi,et al.  Ambient Vibration Tests of an Arch Dam with Different Reservoir Water Levels: Experimental Results and Comparison with Finite Element Modelling , 2014, TheScientificWorldJournal.

[27]  L. Olson,et al.  Sonic Pulse Velocity Testing To Assess Condition Of A Concrete Dam , 2001 .

[28]  Armando Miguel Awruch,et al.  Reliability of reinforced concrete structures using stochastic finite elements , 2002 .

[29]  Dan M. Frangopol,et al.  Improved assessment of mass concrete dams using acoustic travel time tomography. Part II — application , 2000 .

[30]  Jianbo Li,et al.  Seismic failure modeling of concrete dams considering heterogeneity of concrete , 2011 .