• Title/Summary/Keyword: Subspace

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Modal flexibility based damage detection for suspension bridge hangers: A numerical and experimental investigation

  • Meng, Fanhao;Yu, Jingjun;Alaluf, David;Mokrani, Bilal;Preumont, Andre
    • Smart Structures and Systems
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    • v.23 no.1
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    • pp.15-29
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    • 2019
  • This paper addresses the problem of damage detection in suspension bridge hangers, with an emphasis on the modal flexibility method. It aims at evaluating the capability and the accuracy of the modal flexibility method to detect and locate single and multiple damages in suspension bridge hangers, with different level of severity and various locations. The study is conducted numerically and experimentally on a laboratory suspension bridge mock-up. First, the covariance-driven stochastic subspace identification is used to extract the modal parameters of the bridge from experimental data, using only output measurements data from ambient vibration. Then, the method is demonstrated for several damage scenarios and compared against other classical methods, such as: Coordinate Modal Assurance Criterion (COMAC), Enhanced Coordinate Modal Assurance Criterion (ECOMAC), Mode Shape Curvature (MSC) and Modal Strain Energy (MSE). The paper demonstrates the relative merits and shortcomings of these methods which play a significant role in the damage detection ofsuspension bridges.

PROJECTIONS AND SLICES OF MEASURES

  • Selmi, Bilel;Svetova, Nina
    • Communications of the Korean Mathematical Society
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    • v.36 no.2
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    • pp.327-342
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    • 2021
  • We consider a generalization of the Lq-spectrum with respect to two Borel probability measures on ℝn having the same compact support, and also study their behavior under orthogonal projections of measures onto an m-dimensional subspace. In particular, we try to improve the main result of Bahroun and Bhouri [4]. In addition, we are interested in studying the behavior of the generalized lower and upper Lq-spectrum with respect to two measures on "sliced" measures in an (n - m)-dimensional linear subspace. The results in this article establish relations with the Lq-spectrum with respect to two Borel probability measures and its projections and generalize some well-known results.

Predictive Control Algorithms for Adaptive Optical Wavefront Correction in Free-space Optical Communication

  • Ke, Xizheng;Yang, Shangjun;Wu, Yifan
    • Current Optics and Photonics
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    • v.5 no.6
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    • pp.641-651
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    • 2021
  • To handle the servo delay in a real-time adaptive optics system, a linear subspace system identification algorithm was employed to model the system, and the accuracy of the system identification was verified by numerical calculation. Experimental verification was conducted in a real test bed system. Through analysis and comparison of the experimental results, the convergence can be achieved only 200 times with prediction and 300 times without prediction. After the wavefront peak-to-valley value converges, its mean values are 0.27, 4.27, and 10.14 ㎛ when the communication distances are 1.2, 4.5, and 10.2 km, respectively. The prediction algorithm can effectively improve the convergence speed of the peak-to-valley value and improve the free-space optical communication performance.

System Realization by Using Inverse Discrete Fourier Transformation for Structural Dynamic Models

  • Kim, Hyeung Y.;W. B. Hwang
    • 제어로봇시스템학회:학술대회논문집
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    • 1998.10a
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    • pp.289-294
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    • 1998
  • The distributed-parameter structures expressed with the partial differential equations are considered as the infinite-dimensional dynamic system. For implementation of a controller in multivariate systems, it is necessary to derive the state-space reduced order model. By the eigensystem realization algorithm, we can yield tile subspace system with the Markov parameters derived from the measured frequency response function by the inverse discrete Fourier transformation. We also review the necessary conditions for the convergence of the approximation system and the error bounds in terms of the singular values of Markov-parameter matrices. To determine the natural frequencies and modal damping ratios, the modal coordinate transformation is applied to the realization system. The vibration test for a smart structure is performed to provide the records of frequency response functions used in the subspace system realization.

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Classification for Imbalanced Breast Cancer Dataset Using Resampling Methods

  • Hana Babiker, Nassar
    • International Journal of Computer Science & Network Security
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    • v.23 no.1
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    • pp.89-95
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    • 2023
  • Analyzing breast cancer patient files is becoming an exciting area of medical information analysis, especially with the increasing number of patient files. In this paper, breast cancer data is collected from Khartoum state hospital, and the dataset is classified into recurrence and no recurrence. The data is imbalanced, meaning that one of the two classes have more sample than the other. Many pre-processing techniques are applied to classify this imbalanced data, resampling, attribute selection, and handling missing values, and then different classifiers models are built. In the first experiment, five classifiers (ANN, REP TREE, SVM, and J48) are used, and in the second experiment, meta-learning algorithms (Bagging, Boosting, and Random subspace). Finally, the ensemble model is used. The best result was obtained from the ensemble model (Boosting with J48) with the highest accuracy 95.2797% among all the algorithms, followed by Bagging with J48(90.559%) and random subspace with J48(84.2657%). The breast cancer imbalanced dataset was classified into recurrence, and no recurrence with different classified algorithms and the best result was obtained from the ensemble model.

Direct position tracking method for non-circular signals with distributed passive arrays via first-order approximation

  • Jinke Cao;Xiaofei Zhang;Honghao Hao
    • ETRI Journal
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    • v.46 no.3
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    • pp.421-431
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    • 2024
  • In this study, a direct position tracking method for non-circular (NC) signals using distributed passive arrays is proposed. First, we calculate the initial positions of sources using a direct position determination (DPD) approach; next, we transform the tracking into a compensation problem. The offsets of the adjacent time positions are calculated using a first-order Taylor expansion. The fusion calculation of the noise subspace is performed according to the NC characteristics. Because the proposed method uses the signal information from the previous iteration, it can realize automatic data associations. Compared with traditional DPD and two-step localization methods, our novel process has lower computational complexity and provides higher accuracy. Moreover, its performance is better than that of the traditional tracking methods. Numerous simulation results support the superiority of our proposed method.

ON SIMILARITY AND REDUCING SUBSPACES OF A CLASS OF OPERATOR ON THE DIRICHLET SPACE

  • Caixing Gu;Yucheng Li;Hexin Zhang
    • Bulletin of the Korean Mathematical Society
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    • v.61 no.4
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    • pp.949-957
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    • 2024
  • Let Yp be the multiplication operator Mp plus the Volterra operator Vp induced by p(z), where p is a polynomial. Under a mild condition, we prove that Yp acting on the Dirichlet space 𝔇 is similar to multiplication operator Mp acting on a subspace S(𝔻) of 𝔇. Furthermore, it shows that Tzn (n ≥ 2) has exactly 2n reducing subspaces on 𝔇.

PSEUDO-CHEBYSHEV SUBSPACES IN $L^1$

  • Mohebi, H.
    • Journal of applied mathematics & informatics
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    • v.7 no.2
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    • pp.585-595
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    • 2000
  • We give various characterizations of pseudo -Chebyshev Subspaces in the spaces $L^1$(S,${\mu}$) and C(T).