Journal ArticleDOI
Structural damage identification using transfer matrix with lumped crack properties
P. Nandakumar,K. Shankar +1 more
TLDR
In this paper, a beam element with multiple cracks is modeled as an element of zero length and mass, but with elastic properties, and a transfer matrix (TM) approach is used to detect the cracks.Abstract:
A novel damage detection scheme is developed for detecting multiple cracks in beams, based on a transfer matrix (TM) approach. Lumped Crack TM of a beam element with multiple cracks is derived based on lumped crack properties. A cracked beam element is assumed as two intact beam elements connected with a hinge or torsional spring. The crack is modelled as an element of zero length and mass, but with elastic properties. Lumped crack approach is simpler for multiple cracks than the possible alternative methods. The state vector at a node includes displacements, forces and moments at that node; when it is multiplied with TM the state vector at the adjacent node can be obtained. The crack identification strategy used here, involves measuring the initial state vector at a node, in the zone of interest. The displacements at the adjacent nodes are measured and these are predicted using TM. Using an optimization algorithm the unknown crack parameters in the TM are solved by minimizing the deviation between measur...read more
Citations
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Journal ArticleDOI
Experimental research and finite element analysis on the dynamic characteristics of concrete steel bridges with multi-cracks
TL;DR: In this paper, the authors considered the high-order vibration characteristics of structures with multi-cracks and established finite element models for concrete steel beam and bridge with cracks under three different conditions and obtained vibration frequency and three order modes through simulation.
Journal ArticleDOI
Structural parameter estimation and damage detection using experimental transfer function data
TL;DR: In this paper, the capabilities of an enhanced sensitivity relation for the structural model updating are validated using a subset of the measured frequency response function (FRF) and natural freq...
Journal ArticleDOI
Free vibration of the double tapered cracked beam
Mehmet Haskul,Murat Kisa +1 more
TL;DR: In this paper, the free vibration analysis of a double tapered beam having linearly varying both thickness and width, by using finite element and component mode synthesis methods, is presented.
Journal ArticleDOI
Crack damage detection of structures using spectral transfer matrix
P. Nandakumar,K. Shankar +1 more
TL;DR: In this paper, a novel spectral transfer matrix for a cracked beam element is developed and the same matrix is used to identify the crack parameters on the beam structures, where the same spectral transfer matrices are used to detect the cracks in the beam elements.
References
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Journal ArticleDOI
On Using the Transfer Matrix Formulation for Transient Analysis of Nonlinear Rotor Bearing Systems
A. Liew,N. S. Feng,Eric J. Hahn +2 more
TL;DR: In this paper, transient analysis can be performed while maintaining the transfer matrix lumped parameter discretization of the rotor and involve solving simultaneously the differential equations for every degree of freedom.
Journal ArticleDOI
Condensed Model Identification and Recovery for Structural Damage Assessment
Abstract: This study aims to develop a system identification methodology for determining structural parameters of linear dynamic system, taking into consideration of practical constraints such as insufficient sensors. A new methodology called the condensed model identification and recovery method is presented for identification of full stiffness matrices for damage assessment based on incomplete measurement. With the proposed methodology, it is possible to obtain several condensed stiffness matrices, so as to identify individual stiffness coefficients for the structure. Three different model condensation methods, namely static condensation, dynamic condensation, and system equivalent reduction expansion process, are adopted. Having identified the condensed model, the stiffness parameters in the entire system are recovered by extracting sufficient information with either fixed sensor or repositioned sensor approach. The efficiency of the proposed technique is shown by numerical simulation study for multistory shear buildings subjected to random forces, accounting for effects of signal noise. In addition, laboratory experiments are carried out to illustrate the performance of the proposed method. It is shown both numerically and experimentally that the proposed methodology gives reasonably accurate identification in terms of locating and quantifying structural damage.
Journal ArticleDOI
Identification of structural parameters using consistent mass transfer matrix
P. Nandakumar,K. Shankar +1 more
TL;DR: In this paper, the stiffness parameters of structural members are identified by a novel inverse scheme based on consistent mass transfer matrix (TM), and the results are experimentally verified using a beam element.
Journal ArticleDOI
Theory and Problems of Dynamic Structural Analysis
Journal ArticleDOI
Damage identification using combined transient power flow balance and acceleration matching technique
TL;DR: In this paper, a multiobjective optimization formulation is presented to detect and quantify crack damage in beam structures at variable locations. But, the results demonstrate that improvement in accuracy of damage detection is achieved by the combined method, when compared with previous acceleration only matching method as well as other methods.