Enhanced Singular Value Truncation Method for Non-Destructive Evaluation of Structural Damage Using Natural Frequencies

Yang, Qiuwei; Wang, Chaojun; Li, Na; Wang, Wei; Liu, Yong

doi:10.3390/ma12071021

Cited by 7 publications

(4 citation statements)

References 36 publications

(49 reference statements)

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“…An enhanced singular value truncation method is proposed in paper [22] to evaluate structural damage more effectively by using a few lower order natural frequencies. The main innovations of the enhanced singular value truncation method lie in two aspects.…”

Section: Description Of the Articles Presented In The Issuementioning

confidence: 99%

“…In the numerical examples, it was found that the proposed method can successively obtain more accurate damage evaluation results compared with the traditional singular value truncation method. In the experimental example, it was shown that the proposed method possesses more precise and fewer calculations compared with the existing optimization algorithms [22].…”

Section: Description Of the Articles Presented In The Issuementioning

confidence: 99%

See 1 more Smart Citation

Non-Destructive Testing of Materials in Civil Engineering

Schabowicz

2019

Materials

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This issue was proposed and organized as a means to present recent developments in the field of non-destructive testing of materials in civil engineering. For this reason, the articles highlighted in this editorial relate to different aspects of non-destructive testing of different materials in civil engineering, from building materials to building structures. The current trend in the development of non-destructive testing of materials in civil engineering is mainly concerned with the detection of flaws and defects in concrete elements and structures, and acoustic methods predominate in this field. As in medicine, the trend is towards designing test equipment that allows one to obtain a picture of the inside of the tested element and materials. Interesting results with significance for building practices were obtained.

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Section: Description Of the Articles Presented In The Issuementioning

confidence: 99%

Section: Description Of the Articles Presented In The Issuementioning

confidence: 99%

Non-Destructive Testing of Materials in Civil Engineering

Schabowicz

2019

Materials

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“…The natural frequency of a mechanical system is a core parameter of reflecting dynamic characteristics, which plays an important role in many dynamic research fields such as vibration control, fault diagnosis, and structural optimization design [1][2][3][4][5][6]. Determining or calculating natural frequency is one of the main tasks of structural dynamic analysis, which has great theoretical value and practical engineering applications background [7].…”

Section: Introductionmentioning

confidence: 99%

Effect of Additional Mass on Natural Frequencies of Weight-Sensing Structures

Guo,

Zhong,

Zhang

et al. 2023

Sensors

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The phenomena of variability and interference in the natural frequencies of weight-sensing structures applied in complex working conditions must solve the problem of reducing or eliminating resonance under low-frequency vibrations to maximize stability, accuracy and reliability. The influence laws of the additional mass with relevant characteristics on the natural frequencies, which include the components of mass, stiffness and center-of-mass distribution, etc. Firstly, the theoretical formulas of the mathematical model are given based on different characteristics of the weight-sensing structure, and various combinations of additional masses on the weight-sensing structures are adjusted in the X-, Y-, and Z-directions. The key factors to be specifically considered in the theoretical formulas are discussed through simulation analysis and experimental validation. Secondly, the locking strength of the fastening screws of some components was changed, and another component was placed on the experimental platform in the experiment. The results show that the mass, center-of-mass, stiffness distribution and other factors of the additional mass have different effects on the natural frequencies, which are important for the demand for high-precision, high-stability weighing measurement. The results of this research can provide an effective scientific evaluation basis for the reliable prediction of natural frequencies.

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“…In structural vibration modal analysis, the eigenvalue (square of frequency) and eigenvector (mode shape) are the two important parameters and their sensitivities are often used in many engineering problems such as structural vibration control [1][2][3][4][5][6], optimization design [7][8][9], model updating [10][11][12][13][14] and damage identification [15][16][17]. From the current research literature, the calculation formula of eigenvalue sensitivity is simple, but the calculating formula for eigenvector sensitivity is complicated.…”

Section: Introductionmentioning

confidence: 99%

An Exact Method for Calculating the Eigenvector Sensitivities

Yang

Peng

2020

Applied Sciences

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Eigenvector sensitivities are often used in many engineering problems such as structural vibration control, optimization design, model updating and damage identification. So far, modal superposition method and Nelson’s method are the two main methods for exactly calculating eigenvector sensitivities. However, modal superposition method has a great limitation in applications because it needs all the eigenvectors in its calculation. Although Nelson’s method does not need to use all the eigenvectors, there is no unified sensitivity calculation formula for each eigenvector. In this paper, a new exact method for calculating the eigenvector sensitivity is proposed. The explicit expressions for the first-order and second-order sensitivities of eigenvectors are derived, and strict proof is given. The developed eigenvector sensitivity formulas are simple and convenient in programming. The proposed method is as powerful as Nelson’s method, but much more easy to use. Two numerical examples are used to demonstrate the proposed method and the results show that the developed eigenvector sensitivity formulas are exact and reliable.

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Enhanced Singular Value Truncation Method for Non-Destructive Evaluation of Structural Damage Using Natural Frequencies

Cited by 7 publications

References 36 publications

Non-Destructive Testing of Materials in Civil Engineering

Non-Destructive Testing of Materials in Civil Engineering

Effect of Additional Mass on Natural Frequencies of Weight-Sensing Structures

An Exact Method for Calculating the Eigenvector Sensitivities

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