Principal component analysis based three-dimensional operational modal analysis

Wang, Cheng; Guan, Wei; Gou, Jianping; Hou, Feng; Bai, Junqing; Yan, Guozheng

doi:10.3233/jae-141823

Cited by 20 publications

(16 citation statements)

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“…For continuous three-dimensional structures, in finite element analysis and experimental analysis, the three-dimensional system is discretization to D test points, and the time is discretization to T number of sampling points. The displacement response in time domain can be expressed by modal coordinate approximation [13], both the speed signal and the acceleration signal are also suitable to Eq. (20):…”

Section: Three-dimensional Oma and Its Differencesmentioning

confidence: 99%

“…According to the previous method [13], the three directions' modal coordinate responses are same, so the algorithm decomposes modal response signals in one direction which has the maximum vibration. Then through substitution of ( ) ∈ ℝ × into the other two-dimension displacement response signals using Moore-Penrose matrix inverse in Eq.…”

Section: The Assembled Three-dimensional Modal Shapesmentioning

confidence: 99%

“…The process of one-dimensional extending to three-dimensional is a challenge that must be conquered by OMA methods when the researches of scientific and technological apply to engineering applications. In 2014, C. Wang et al built a PCA solution model for three-dimensional structures, and gave a scientific three-dimensional matrix assembly method [13]. However, the PCA model is calculated by EVD and the three-dimensional modal shapes are calculated by reverse matrix substitution, so that method has higher space-time complexity and lower identified accuracy.…”

Section: Introductionmentioning

confidence: 99%

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Three-dimensional operational modal analysis based on self-iteration principal component extraction and direct matrix assembly

Wang¹,

Zhang²

2017

J. vibroeng.

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This paper proposes a self-iteration principal component extraction (SIPCE) and direct matrix assembly method for three-dimensional structures. Different from calculating principal components (PCs) by matrix decomposition in traditional principal component analysis (PCA), SIPCE extracts PCs one by one through self-iteration, so SIPCE has lower space-time complexity. Besides that, it avoids singular-value and ill-posed problems of matrix decomposition. The previous method of solving three-dimensional structures is using modal coordinate response back general reversion of least square algorithm, while the new matrix assembly method calculates three-dimensional modal shapes at one time. So, the new matrix assembly method has less calculation error. The numerical simulation results in a cylindrical shell demonstrate that this method can be practically and effectively applied in operational modal analysis (OMA) of three-dimensional structures. The new method is also robust to noise, and has higher identification accuracy and lower space-time consumption than previous method.

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Section: Three-dimensional Oma and Its Differencesmentioning

confidence: 99%

Section: The Assembled Three-dimensional Modal Shapesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Three-dimensional operational modal analysis based on self-iteration principal component extraction and direct matrix assembly

Wang¹,

Zhang²

2017

J. vibroeng.

Self Cite

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“…Przykładowe rozkłady cech składowych wektora F uzyskane dla defektów z grupy GD1 przedstawiono na rysunku 9. W celu połączenia zawartości informacji z różnych cech oraz zmniejszenia wymiaru bazy danych dla każdego obszaru GD, zastosowano procedury przetwarzania F. Aby zmniejszyć liczbę cech w wekto-rze i uzyskać zbliżony do pierwotnego poziom zmienności cech w bazie, zastosowano analizę głównych składowych [12]. W konsekwencji uzyskano nowy wektor FPCAzawierający cechy zwane składowymi głównymi pc.…”

Section: Fuzja Danychunclassified

Integracja wyników badania aktywną termografią i techniką terahercową na potrzeby oceny defektów w materiałach kompozytowych

Łopato¹,

Szymanik²,

Psuj³

2016

Przegląd Spawalnictwa

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“…Second-Order Blind Identification (SOBI) is a way of the blind source separation technique [10][11], and it has been applied to the field of OMA [12][13][14] since 2007. However, the research on three-dimensional structures of output-only modal analysis with the blind source separation technique is quite rare [15].…”

Section: Introductionmentioning

confidence: 99%

Operational modal analysis of three-dimensional structures by second-order blind identification and least square generalized inverse

Wang¹,

Zhang²

2017

J. vibroeng.

Self Cite

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Most complex engineering structures are three-dimensional in practice. The process of one-dimensional extending to three-dimensional is a challenge that must be conquered by Operational Modal Analysis (OMA) methods when these methods are applied to complex engineering applications supported by scientific researches. This study put forward a new three-dimensional structure OMA method based on Second-Order Blind Identification (SOBI) and general reversion of least square. Firstly, modal coordinates decomposition of one-dimensional structural vibration response signal with SOBI. Secondly, the reasons that modal parameters identified by SOBI including energy uncertainty, order uncertainty and modal missing are explained in theory. Thirdly, the SOBI algorithm is used to decompose the response signals of displacement of a direction whose vibration response is the largest, then the other two directions are calculated by using the least square generalized inverse algorithm, and the modal parameters of three-dimensional structures are identified by the matrix assembly method. Numerical simulation results in a cylindrical shell demonstrated that this novel method is practical and effective by applied to practice in OMA of three-dimensional structures, and robustness to Gauss measurement noise disturbances.

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Principal component analysis based three-dimensional operational modal analysis

Cited by 20 publications

References 0 publications

Three-dimensional operational modal analysis based on self-iteration principal component extraction and direct matrix assembly

Three-dimensional operational modal analysis based on self-iteration principal component extraction and direct matrix assembly

Integracja wyników badania aktywną termografią i techniką terahercową na potrzeby oceny defektów w materiałach kompozytowych

Operational modal analysis of three-dimensional structures by second-order blind identification and least square generalized inverse

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