Modal Data Identification of the Prestressed Concrete Bridge Using Variational Mode Decomposition (original) (raw)

Multi-variate Empirical Mode Decomposition (MEMD) for ambient modal identification of RC road bridge

2020

In this paper, an adaptive MEMD based modal identification technique for linear time-invariant systems is proposed employing multiple vibration measurements. Traditional empirical mode decomposition (EMD) suffers from mode-mixing during sifting operations to identify intrinsic mode functions (IMF). MEMD performs better in this context as it considers multi-channel data and projects them into a n-dimensional hypercube to evaluate the IMFs. Using this technique, modal parameters of the structural system are identified. It is observed that MEMD has superior performance compared to its traditional counterpart. However, it still suffers from mild mode-mixing in higher modes where the energy contents are low. To avoid this problem, an adaptive filtering scheme is proposed to decompose the interfering modes. The Proposed modified scheme is then applied to vibrations of a reinforced concrete road bridge. Results presented in this study show that the proposed MEMD based approach coupled with...

A comparison of operational modal parameter identification methods for a multi-span concrete motorway bridge

Proceedings of the New Zealand Society for Earthquake Engineering Annual Conference 2015, Rotorua, New Zealand, April 10–12, 2015, pp. 1-8, doi: 10.13140/RG.2.1.1647.5680, 2015

Operational modal analysis deals with the estimation of modal parameters using vibration data obtained from unknown or ambient excitation sources in operational rather than laboratory conditions. The paper compares three operational modal parameter identification approaches for identifying modal parameters of a multi-span concrete motorway bridge when subjected to either ambient or broad-band linear chirp excitation. The algorithms examined include the frequency-domains methods, peak picking and frequency domain decomposition, as well as the time-domains method stochastic subspace identification (SSI). The results show that natural frequencies can be identified from either the frequency domain methods or the time domain methods with high accuracy. On the other hand, the damping identification results given by SSI have large scatter. In terms of mode shapes, SSI technique is more robust for dealing with noisy testing data from real-world bridges since it produces smoother vibration m...

Modal systems identification of an eleven-span concrete motorway off-ramp bridge using various excitations

Engineering Structures, 2020

This paper addresses and evaluates the influence of different types of dynamic excitation sources on identifiability and reliability of modal parameter identification of an eleven-span, post-tensioned, curved concrete motorway off-ramp bridge. The excitation sources included ground vibration waves generated by traffic on nearby motorways, people jumping on the bridge deck, broad-band linear chirp excitation induced by two light electro-dynamic shakers, and stepped sinusoidal sweeping forcing induced by a rotating eccentric mass shaker. Experimental modal analysis, operational modal analysis (OMA) and OMA with exogenous input system identification by a subspace state-space identification algorithm were carried out to extract the modal characteristics of the bridge. Numerical frequencies and mode shapes were also calculated from a detailed shell-element bridge model with the purpose of serving for the corroboration of the experimental modal properties. Through comprehensive cross-comparisons, it was revealed that the natural frequency discrepancies across different excitation methods were small (within ±1.5% relative difference), whist the consistency of the estimated damping ratios was poorer (up to 1.4% absolute difference). Eccentric mass shaker testing enabled identification of all modes predicted by the numerical model but used very heavy equipment. On the other hand, in ambient testing about one-third of the modes were missed, including the fundamental lateral mode. Electrodynamic shaker testing proved attractive as it only missed one mode and achieved its good performance with shakers that could be moved on site with relative ease.

A study on the application of modal parameter identification using Kalman filter to a reinforced concrete bridge

Doboku Gakkai Ronbunshu, 1992

System identification using Kalman filter was applied to an in-situ reinforced concrete bridge to identify its modal properties. A field vibration test was conducted to obtain vibration response data for the purpose of the identification. Using a step-by-step parameter identification technique based on modal analysis of a linear multi-degree of freedom system, the estimation of the modal parameters, which are the dominant natural frequencies and the corresponding damping ratios, was examined. The results from the system identification are presented and compared with those obtained from spectra analysis.

Modal identification of a prestressed concrete bridge through ambient vibration tests

In this paper a general procedure is developed for the optimization of a hybrid control system for tall buildings subjected to wind-induced vibrations. The control system is conceived to mitigate the flexural and torsional response and satisfy serviceability limits. The hybrid control system is made of one active tuned mass damper with two longitudinal and one torsional degrees of freedom. The passive device, that is, the active tuned mass damper without active control actuators, is preliminarily designed to minimize the response of the flexural and torsional modes. The introduction of the control actuators improves the performances of the device especially for the torsional response. The feedback information necessary to compute the control forces is provided by a limited number of accelerometers arranged over the building’s height. The Kalman observer provides the estimate of the states of the system known the measured accelerations and the covariances of the wind forces. The redu...

Modal identification and model updating of a reinforced concrete bridge

Smart Structures and Systems, 2005

This paper summarizes the application of a rational methodology for the assessment of older reinforced concrete Tunisian bridges. This methodology is based on ambient vibration measurement of the bridge, identification of the structure's modal signature and finite element model updating. The selected case study is the SidiBouAli river bridge which is an eight-span simply supported bridge with a continuous slab. Each span has a length of 25 m and is supported by rubber bearings at the supports. Ambient vibration tests with output-only measurements were conducted on the bridge using a data acquisition system with nine force-balance accelerometers placed at selected locations of the bridge. The Enhanced Frequency Domain Decomposition technique, known to be robust with respect to the complex non-stationary nature of the unmeasured excitation, was applied to extract the dynamic characteristics of the bridge. For model updating, it was assumed that the parameters that can be changed in the model are the concrete modulus of elasticity and the rubber bearing stiffness. The first parameter indicates any possible damage in the bridge and the second parameter reflects the changes in boundary conditions. The application of the proposed methodology led to a relatively faithful linear elastic finite element model of the selected bridge.

Data processing in subspace identification and modal parameter identification of an arch bridge

Mechanical Systems and Signal Processing, 2007

A data-processing method concerning subspace identification is presented to improve the identification of modal parameters from measured response data only. The identification procedure of this method consists of two phases, first estimating frequencies and damping ratios and then extracting mode shapes. Elements of Hankel matrices are specially rearranged to enhance the identifiability of weak characteristics and the robustness to noise contamination. Furthermore, an alternative stabilisation diagram in combination with component energy index is adopted to effectively separate spurious and physical modes. On the basis of identified frequencies, mode shapes are extracted from the signals obtained by filtering measured data with a series of band-pass filters. The proposed method was tested with a concrete-filled steel tubular arch bridge, which was subjected to ambient excitation. Gabor representation was also employed to process measured signals before conducting parameter identification. Identified results show that the proposed method can give a reliable separation of spurious and physical modes as well as accurate estimates of weak modes only from response signals. r

Modal parameter identification of a multiple-span post-tensioned concrete bridge using hybrid vibration testing data

Engineering Structures, 2020

The paper describes and evaluates application of output-only system identification to an eleven-span post-tensioned concrete bridge using hybrid excitation. A linear chirp sweeping force, induced by two lightweight electro-dynamic shakers, augmented environmental sources to excite the bridge during the hybrid testing exercise. To obtain the modal characteristics of the structure, two output-only time domain system identification methods were employed, namely auto-regressive (AR) time series model and eigensystem realization algorithm with observer/Kalman identification (ERA-OKID), with the traditional data-driven stochastic subspace identification method (SSI-data) providing a comparative benchmark. The accuracy and efficiency of both system identification algorithms when used on hybrid testing data are investigated and compared to the results from purely ambient vibration testing data. The study demonstrates that using both output-only identification algorithms the collected vibration responses induced by the proposed hybrid vibration testing methodology can be used for extracting modal parameters with enhanced accuracy and reliability (i.e. more identified modes) for the large-scale post-tensioned concrete bridge due to the increase in the excitation strength and better coverage of the relevant frequency bands. Compared to the classical SSI-data, the AR and ERA-OKID techniques were able to identify more modes at reduced computational cost when applied to voluminous data from multi-channel measurements.

Signal Processing Methodology of Response Data from a Historical Arch Bridge toward Reliable Modal Identification

Infrastructures

The paper is part of a case study concerning the structural assessment of a historical infrastructure in the local territory, a road three-span reinforced concrete arch bridge over a river, built by the end of World War I (1917). The purpose of the paper is twofold: first, in-situ acquired response data are systematically analysed by specific signal processing techniques, to form a devoted methodological procedure and to extract useful information toward possible interpretation of the current structural conditions; second, the deciphered information is elaborated, in view of obtaining peculiar conceptualisations of detailed features of the structural response, as meant to achieve quantitative descriptions and modelling, for final Structural Health Monitoring (SHM) and intervention purposes. The proposed methodology, integrating self-implemented and adapted classical signal processing methods, and refined techniques, such as Wavelet analysis and ARMA models, assembles a rather genera...

Post-Processing Ambient and Forced Response Bridge Data to Obtain Modal Parameters

2001

In this paper, post-processing methods were applied to three different sets of multiple channel time domain vibration response data taken from the Z24 highway bridge in Switzerland. The objective of this exercise was to compare the mode shapes resulting from each of these data sets with one another. Ideally, all of the tests should yield the same mode shapes, although perhaps not all modes would be excited in each case. The three different test cases were; Case 1: Two shaker response data, including the simultaneously measured excitation forces. The shakers were driven by uncorrelated random signals. Case 2: Impact response data, including three reference responses but no measured forces. The impact force was provided by a 100 kg. drop weight impactor. Case 3: Ambient response data, including three reference (fixed) responses. Excitation was provided by automobile traffic on an adjoining bridge. Excitation forces were measured in Case 1, so multiple reference Frequency Response Func...