Damage identification in plate structures based on the topological derivative method

2021 ◽  
Vol 65 (1) ◽  
Author(s):  
A. A. M. da Silva ◽  
A. A. Novotny
Keyword(s):  
Damage Identification ◽  
Topological Derivative ◽  
Plate Structures ◽  
Derivative Method

Brittle fracture on plates governed by topological derivatives

2021 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Marcel Xavier ◽  
Nicolas Van Goethem
Keyword(s):  
Brittle Fracture ◽  
Crack Nucleation ◽  
Simple Algorithm ◽  
Topological Derivative ◽  
Mindlin Plate ◽  
Multiple Cracks ◽  
Plate Structures ◽  
Content Type ◽  
Fracture Modeling ◽  
Derivative Method

PurposeIn the paper an approach for crack nucleation and propagation phenomena in brittle plate structures is presented.Design/methodology/approachThe Francfort–Marigo damage theory is adapted to the Kirchhoff and Reissner–Mindlin plate bending models. Then, the topological derivative method is used to minimize the associated Francfort–Marigo shape functional. In particular, the whole damaging process is governed by a threshold approach based on the topological derivative field, leading to a notable simple algorithm.FindingsNumerical simulations are driven in order to verify the applicability of the proposed method in the context of brittle fracture modeling on plates. The obtained results reveal the capability of the method to determine nucleation and propagation including bifurcation of multiple cracks with a minimal number of user-defined algorithmic parameters.Originality/valueThis is the first work concerning brittle fracture modeling of plate structures based on the topological derivative method.

scholarly journals Damage Identification in Plate Structures Using Sparse Regularization Based Electromechanical Impedance Technique

Sensors ◽  
2020 ◽  
Vol 20 (24) ◽  
pp. 7069
Author(s):  
Xingyu Fan ◽  
Jun Li
Keyword(s):  
Resonance Frequency ◽  
Structural Damage ◽  
Damage Identification ◽  
Physical Parameters ◽  
Inverse Identification ◽  
Plate Structures ◽  
Frequency Shifts ◽  
Sparse Regularization ◽  
Electromechanical Impedance ◽  
Damage Quantification

This paper proposes a novel structural damage quantification approach using a sparse regularization based electromechanical impedance (EMI) technique. Minor structural damage in plate structures by using the measurement of only a single surface bonded lead zirconate titanate piezoelectric (PZT) transducer was quantified. To overcome the limitations of using model-based EMI based methods in damage detection of complex or relatively large-scale structures, a three-dimensional finite element model for simulating the PZT–structure interaction is developed and calibrated with experimental results. Based on the sensitivities of the resonance frequency shifts of the impedance responses with respect to the physical parameters of plate structures, sparse regularization was applied to conduct the undetermined inverse identification of structural damage. The difference between the measured and analytically obtained impedance responses was calculated and used for identification. In this study, only a limited number of the resonance frequency shifts were obtained from the selected frequency range for damage identification of plate structures with numerous elements. The results demonstrate a better performance than those from the conventional Tikhonov regularization based methods in conducting inverse identification for damage quantification. Experimental studies on an aluminum plate were conducted to investigate the effectiveness and accuracy of the proposed approach. To test the robustness of the proposed approach, the identification results of a plate structure under varying temperature conditions are also presented.

Nondestructive damage identification in plate structures using changes in modal compliance

2005 ◽  
Vol 38 (7) ◽  
pp. 529-540 ◽  
Author(s):  
Sanghyun Choi ◽  
Sooyong Park ◽  
Sungwon Yoon ◽  
Norris Stubbs
Keyword(s):  
Damage Identification ◽  
Plate Structures

A damage identification approach for plate structures based on frequency measurements

2013 ◽  
Vol 28 (4) ◽  
pp. 321-341 ◽  
Author(s):  
Zhibo Yang ◽  
Xuefeng Chen ◽  
Jie Yu ◽  
Rui Liu ◽  
Zhonghua Liu ◽  
...  
Keyword(s):  
Damage Identification ◽  
Plate Structures ◽  
Frequency Measurements ◽  
Identification Approach

Tuning Criterion of Variable Piezoelectric Circuitry for Frequency-Shift-Based Damage Identification Enhancement

Aerospace ◽  
2006 ◽  
Author(s):  
L. J. Jiang ◽  
J. Tang ◽  
K. W. Wang
Keyword(s):  
Frequency Shift ◽  
Piezoelectric Transducer ◽  
Structural Damage ◽  
Damage Identification ◽  
Measurement Data ◽  
Frequency Measurement ◽  
Damage Effect ◽  
Plate Structures ◽  
Curve Veering ◽  
Selection Of

A new concept of using piezoelectric transducer circuitry with tunable inductance to enhance the performance of frequency-shift-based damage identification method has been recently proposed. While previous work has shown that the frequency-shift information used for damage identification can be significantly enriched by tuning the inductance in the piezoelectric circuitry, a fundamental issue of this approach, namely, how to tune the inductance to best enhance the damage identification performance, has not been addressed. Therefore, this research aims at advancing the state-of-the-art of such a technology by proposing guidelines to form favorable inductance tuning such that the enriched frequency measurement data can effectively capture the damage effect. Our analysis shows that when the inductance is tuned to accomplish eigenvalue curve veering, the change of system eigenvalues induced by structural damage will vary significantly with respect to the change of inductance. Under such curve veering, one may obtain a series of frequency-shift data with different sensitivity relations to the damage, and thus the damage characteristics can be captured more effectively and completely. When multiple tunable piezoelectric transducer circuitries are integrated with the mechanical structure, multiple eigenvalue curve veering can be simultaneously accomplished between desired pairs of system eigenvalues. An optimization scheme aiming at achieving desired set of eigenvalue curve veering is formulated to find the critical inductance values that can be used to form the favorable inductance tuning for multiple piezoelectric circuitries. In the numerical analyses of damage identification, an iterative second-order perturbation-based algorithm is used to identify damages in beam and plate structures. Numerical results show that the performance of damage identification is significantly affected by the selection of inductance tuning, and only when the favorable inductance tuning is used, the locations and severities of structural damages can be accurately identified.

scholarly journals Pollution Sources Reconstruction Based on the Topological Derivative Method

2020 ◽  
Author(s):  
L. Fernandez ◽  
A. A. Novotny ◽  
R. Prakash ◽  
J. Sokołowski
Keyword(s):  
Pollution Sources ◽  
Topological Derivative ◽  
Derivative Method

Vibration-based damage identification of plate structures via curvelet transform

2009 ◽  
Vol 327 (3-5) ◽  
pp. 593-603 ◽  
Author(s):  
A. Bagheri ◽  
G. Ghodrati Amiri ◽  
S.A. Seyed Razzaghi
Keyword(s):  
Damage Identification ◽  
Curvelet Transform ◽  
Plate Structures

Topology optimization of structures subject to self-weight loading under stress constraints

2021 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Renatha Batista dos Santos ◽  
Cinthia Gomes Lopes
Keyword(s):  
Topology Optimization ◽  
Stress Constraints ◽  
Topological Derivative ◽  
The Self ◽  
Von Mises Stress ◽  
Stress Constraint ◽  
Content Type ◽  
Derivative Method ◽  
Von Mises ◽  
Weight Loading

PurposeThe purpose of this paper is to present an approach for structural weight minimization under von Mises stress constraints and self-weight loading based on the topological derivative method. Although self-weight loading topology has been the subject of intense research, mainly compliance minimization has been addressed.Design/methodology/approachThe resulting minimization problem is solved with the help of the topological derivative method, which allows the development of efficient and robust topology optimization algorithms. Then, the derived result is used together with a level-set domain representation method to devise a topology design algorithm.FindingsNumerical examples are presented, showing the effectiveness of the proposed approach in solving a structural topology optimization problem under self-weight loading and stress constraint. When the self-weight loading is dominant, the presence of the regularizing term in the formulation is crucial for the design process.Originality/valueThe novelty of this research work lies in the use of a regularized formulation to deal with the presence of the self-weight loading combined with a penalization function to treat the von Mises stress constraint.

Application of Extreme Learning Machine to Damage Detection of Plate-Like Structures

2017 ◽  
Vol 17 (07) ◽  
pp. 1750068 ◽  
Author(s):  
S. S. Kourehli
Keyword(s):  
Damage Detection ◽  
Extreme Learning Machine ◽  
Damage Identification ◽  
Mode Shapes ◽  
Effective Technique ◽  
Plate Structures ◽  
Modal Data ◽  
Plate Elements ◽  
Damage States ◽  
Learning Machine

An effective method for damage detection of plate structures using the extreme learning machine (ELM) is proposed in this study. With the ELM, the mode shapes and natural frequencies of a damaged plate are treated as the input and the damage states in the plate elements as the output. The proposed method was applied to two numerical examples, namely, a cantilever and a plate with four-fixed supports containing one or several damages with and without noise in the modal data. The results obtained reveal that the methodology can be used as an effective technique for the damage identification of plate structures using the modal data and ELM.

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