scholarly journals Structural Damage Identification and Location Using Grammian Matrices

2012 ◽  
Vol 19 (3) ◽  
pp. 287-299 ◽  
Author(s):  
D.D. Bueno ◽  
C.R. Marqui ◽  
V. Lopes Jr. ◽  
M.J. Brennan ◽  
Daniel J. Inman
Keyword(s):  
Structural Damage ◽  
Simple Structure ◽  
Damage Identification ◽  
Dynamic Properties ◽  
State Space Model ◽  
Experimental Tests ◽  
Reduced Order ◽  
Monitoring Applications ◽  
Controllability Grammian ◽  
Order State

In this paper, an approach using observability and controllability grammian matrices is proposed to determine if structural damage has occurred together with an estimate of its location. The theory is outlined and simulations are carried out on a simple structure to demonstrate the method. Experimental tests were also carried out to demonstrate the validity of the approach using real signals. The dynamic properties of the structure are identified using the eigensystem realization algorithm (ERA) and a reduced order state-space model of the system subsequently constructed. Either the observability or controllability grammians can then be used depending on the number of sensors available. It is shown that these are sensitive to both the degree and location of the damage and offer promise for structural health monitoring applications.

Reduced-Order State Space Model for Dynamic Phasors in Active Distribution Networks

2020 ◽  
Vol 11 (3) ◽  
pp. 1928-1941
Author(s):  
Huifang Wang ◽  
Kuan Jiang ◽  
Mohammad Shahidehpour ◽  
Benteng He
Keyword(s):  
State Space ◽  
State Space Model ◽  
Distribution Networks ◽  
Reduced Order ◽  
Space Model ◽  
Dynamic Phasors ◽  
Active Distribution Networks ◽  
Order State

scholarly journals A reduced order state space model for aeroelastic analysis in time domain

2017 ◽  
Vol 69 ◽  
pp. 428-440 ◽  
Author(s):  
Clayton R. Marqui ◽  
Douglas D. Bueno ◽  
Luiz C.S. Goes ◽  
Paulo J.P. Gonçalves
Keyword(s):  
State Space ◽  
Time Domain ◽  
State Space Model ◽  
Reduced Order ◽  
Space Model ◽  
Aeroelastic Analysis ◽  
Order State

A pseudo-modal structural damage index based on orthogonal empirical mode decomposition

2019 ◽  
Vol 233 (23-24) ◽  
pp. 7545-7564 ◽  
Author(s):  
Egidio Lofrano ◽  
Francesco Romeo ◽  
Achille Paolone
Keyword(s):  
Empirical Mode Decomposition ◽  
Structural Damage ◽  
Degrees Of Freedom ◽  
Damage Identification ◽  
Damage Index ◽  
Experimental Tests ◽  
Intrinsic Mode Functions ◽  
Mode Decomposition ◽  
Identification Technique ◽  
Output Only

A structural damage identification technique hinged on the combination of orthogonal empirical mode decomposition and modal analysis is proposed. The output-only technique is based on the comparison between pre- and post-damage free structural vibrations signals. The latter are either kinematic (displacements, velocities or accelerations) or deformation measures (strains or curvatures). The response data are decomposed by means of the orthogonal empirical mode decomposition to derive a finite set of orthogonal intrinsic mode functions; the latter are used as a multi-frequency and data-driven basis to build pseudo-modal shapes. A new damage index, the so-called pseudo-mode index, is introduced to compare the response obtained for the two states of the structural system and detect potential damages. The performance of the devised index in detecting a localised damage is shown through numerical and experimental tests on two structural models, namely a 4-degrees-of-freedom system and a two-hinged parabolic arch.

scholarly journals Residual Mode Vector-Based Structural Damage Identification with First-Order Modal Information

2021 ◽  
Vol 2021 ◽  
pp. 1-10
Author(s):  
Shuai Luo ◽  
Zhenxin Zhuang ◽  
Wei Wang ◽  
Ping Jiang
Keyword(s):  
Structural Damage ◽  
Damage Identification ◽  
Dynamic Properties ◽  
Good Condition ◽  
Quantitative Relationship ◽  
Service Condition ◽  
Damage Parameter ◽  
First Order ◽  
Damage Location ◽  
Structural Damage Identification

Damage identification based on the change of dynamic properties is an issue worthy of attention in structure safety assessment, nevertheless, only a small number of discontinuous members in existing structure are damaged under service condition, and the most remaining members are in good condition. According to this feather, we developed an effective damage location and situation assessment algorithm based on residual mode vector with the first mode information of targeted structure, which utilized the quantitative relationship between first natural modes of global structure with the change of the element stiffness. Firstly, the element damage location is determined with exploitation of the sparseness of element stiffness matrices based on the discontinuity of damaged members. Then, according to the distribution characteristics of the corresponding residual mode vector, the nodal equilibrium equation about the damage parameter is established based on the residual mode vector, and the damage coefficients of structural elements are evaluated with the proposed equations. Two numerical examples are given to verify the proposed algorithm. The results showed that the proposed damage identification method is consistent with the preset damage. It can even accurately identify large-degree damages. The proposed algorithm only required the first-order modal information of the target structures and held few requirements of analysis resource; hence when compared with existing methods, it has obvious advantages for structural damage identification.

On Dynamic Characteristic of Damaged Elastomeric Vibration Isolators

2015 ◽  
Vol 801 ◽  
pp. 159-164
Author(s):  
Silviu Nastac ◽  
Carmen Debeleac ◽  
Adrian Leopa
Keyword(s):  
Computer Simulation ◽  
Structural Damage ◽  
Structural Integrity ◽  
Dynamic Method ◽  
Damage Identification ◽  
Experimental Tests ◽  
Behavioral Changes ◽  
Operational Performance ◽  
Vibration Isolators ◽  
Theoretical Approaches

This paper deals with structural damage identification at vibration isolators with elastomeric-based composite, through continuous or periodical evaluation of behavioral changes of the dynamic characteristics. It has supposed only structural damages of passive isolators, appearing inside the elastomeric core. Theoretical approaches has been provided, computer simulation scenarios regarding some potential critical cases has been developed, and experimental tests has been performed, in order to evaluate main correlation between the levels of structural integrity and the operational performance respectively. Partial results indicate an acceptable sensitivity of this dynamic method with damage detection, and establish next goal of the research in evaluation of the failure imminence and accurately localizing techniques.

scholarly journals A Reduced-Domain Method of Structural Damage Identification: Application to a Spectral Element Beam Model

2003 ◽  
Vol 10 (5-6) ◽  
pp. 313-324 ◽  
Author(s):  
Usik Lee
Keyword(s):  
Structural Damage ◽  
Damage Identification ◽  
Dynamic Stiffness ◽  
Experimental Tests ◽  
Element Model ◽  
Spectral Element ◽  
Beam Specimen ◽  
Identification Algorithm ◽  
Beam Model ◽  
Domain Method

Though there have been many efforts to make the inverse problem of damage identification small by reducing its finite element degrees-of-freedom, there have been few efforts to make it small by reducing its spatial domain of problem. Thus, as the extension of the author's previous work in which the damage identification algorithm was formulated from the dynamic stiffness equation of motion, the present study introduces a spectral element model (SEM)-based reduced-domain method (RDM) of damage identification. In the present RDM, a three-steps process is used to reduce the domain of problem by iteratively searching out and removing damage-free parts of structure in the course of the damage identification analysis. To validate the present RDM, numerically simulated damage identification tests are conducted. The experimental tests for a damaged cantilevered beam specimen show that the present RDM can fairly well locates and quantifies all local damages (i.e., slots) placed along the beam specimen.

Efficient Reduced Order State Space Model Computation for a Class of Second Order Index One Systems

PAMM ◽  
2012 ◽  
Vol 12 (1) ◽  
pp. 699-700 ◽  
Author(s):  
Peter Benner ◽  
Burkhard Kranz ◽  
Jens Saak ◽  
M. Monir Uddin
Keyword(s):  
State Space ◽  
State Space Model ◽  
Second Order ◽  
Model Computation ◽  
Reduced Order ◽  
Space Model ◽  
Order State
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