• Title/Summary/Keyword: incomplete measurements

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Generalization of the statistical moment-based damage detection method

  • Zhang, J.;Xu, Y.L.;Xia, Y.;Li, J.
    • Structural Engineering and Mechanics
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    • v.38 no.6
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    • pp.715-732
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    • 2011
  • A novel structural damage detection method with a new damage index has been recently proposed by the authors based on the statistical moments of dynamic responses of shear building structures subject to white noise ground motion. The statistical moment-based damage detection (SMBDD) method is theoretically extended in this paper with general application. The generalized SMBDD method is more versatile and can identify damage locations and damage severities of many types of building structures under various external excitations. In particular, the incomplete measurements can be considered by the proposed method without mode shape expansion or model reduction. Various damage scenarios of two general forms of building structures with incomplete measurements are investigated in consideration of different excitations. The effects of measurement noise are also investigated. The damage locations and damage severities are correctly identified even when a high noise level of 15% and incomplete measurements are considered. The effectiveness and versatility of the generalized SMBDD method are demonstrated.

Discrete HMM Training Algorithm for Incomplete Time Series Data (불완전 시계열 데이터를 위한 이산 HMM 학습 알고리듬)

  • Sin, Bong-Kee
    • Journal of Korea Multimedia Society
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    • v.19 no.1
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    • pp.22-29
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    • 2016
  • Hidden Markov Model is one of the most successful and popular tools for modeling real world sequential data. Real world signals come in a variety of shapes and variabilities, among which temporal and spectral ones are the prime targets that the HMM aims at. A new problem that is gaining increasing attention is characterizing missing observations in incomplete data sequences. They are incomplete in that there are holes or omitted measurements. The standard HMM algorithms have been developed for complete data with a measurements at each regular point in time. This paper presents a modified algorithm for a discrete HMM that allows substantial amount of omissions in the input sequence. Basically it is a variant of Baum-Welch which explicitly considers the case of isolated or a number of omissions in succession. The algorithm has been tested on online handwriting samples expressed in direction codes. An extensive set of experiments show that the HMM so modeled are highly flexible showing a consistent and robust performance regardless of the amount of omissions.

Structural damage identification using incomplete static displacement measurement

  • Lu, Z.R.;Zhu, J.J.;Ou, Y.J.
    • Structural Engineering and Mechanics
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    • v.63 no.2
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    • pp.251-257
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    • 2017
  • A local damage identification method using measured structural static displacement is proposed in this study. Based on the residual force vector deduced from the static equilibrium equation, residual strain energy (RSE) is introduced, which can localize the damage in the element level. In the case of all the nodal displacements are used, the RSE can localize the true location of damage, while incomplete displacement measurements are used, some suspicious damaged elements can be found. A model updating method based on static displacement response sensitivity analysis is further utilized for accurate identification of damage location and extent. The proposed method is verified by two numerical examples. The results indicate that the proposed method is efficient for damage identification. The advantage of the proposed method is that only limited static displacement measurements are needed in the identification, thus it is easy for engineering application.

Locating and identifying model-free structural nonlinearities and systems using incomplete measured structural responses

  • Liu, Lijun;Lei, Ying;He, Mingyu
    • Smart Structures and Systems
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    • v.15 no.2
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    • pp.409-424
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    • 2015
  • Structural nonlinearity is a common phenomenon encountered in engineering structures under severe dynamic loading. It is necessary to localize and identify structural nonlinearities using structural dynamic measurements for damage detection and performance evaluation of structures. However, identification of nonlinear structural systems is a difficult task, especially when proper mathematical models for structural nonlinear behaviors are not available. In prior studies on nonparametric identification of nonlinear structures, the locations of structural nonlinearities are usually assumed known and all structural responses are measured. In this paper, an identification algorithm is proposed for locating and identifying model-free structural nonlinearities and systems using incomplete measurements of structural responses. First, equivalent linear structural systems are established and identified by the extended Kalman filter (EKF). The locations of structural nonlinearities are identified. Then, the model-free structural nonlinear restoring forces are approximated by power series polynomial models. The unscented Kalman filter (UKF) is utilized to identify structural nonlinear restoring forces and structural systems. Both numerical simulation examples and experimental test of a multi-story shear building with a MR damper are used to validate the proposed algorithm.

Damage identification of 2D and 3D trusses by using complete and incomplete noisy measurements

  • Rezaiee-Pajand, M.;Kazemiyan, M.S.
    • Structural Engineering and Mechanics
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    • v.52 no.1
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    • pp.149-172
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    • 2014
  • Four algorithms for damage detection of trusses are presented in this paper. These approaches can detect damage by using both complete and incomplete measurements. The suggested methods are based on the minimization of the difference between the measured and analytical static responses of structures. A non-linear constrained optimization problem is established to estimate the severity and location of damage. To reach the responses, the successive quadratic method is used. Based on the objective function, the stiffness matrix of the truss should be estimated and inverted in the optimization procedure. The differences of the proposed techniques are rooted in the strategy utilized for inverting the stiffness matrix of the damaged structure. Additionally, for separating the probable damaged members, a new formulation is proposed. This scheme is employed prior to the outset of the optimization process. Furthermore, a new tactic is presented to select the appropriate load pattern. To investigate the robustness and efficiency of the authors' method, several numerical tests are performed. Moreover, Monte Carlo simulation is carried out to assess the effect of noisy measurements on the estimated parameters.

Structural identification based on incomplete measurements with iterative Kalman filter

  • Ding, Yong;Guo, Lina
    • Structural Engineering and Mechanics
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    • v.59 no.6
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    • pp.1037-1054
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    • 2016
  • Structural parameter evaluation and external force estimation are two important parts of structural health monitoring. But the structural parameter identification with limited input information is still a challenging problem. A new simultaneous identification method in time domain is proposed in this study to identify the structural parameters and evaluate the external force. Each sampling point in the time history of external force is taken as the unknowns in force evaluation. To reduce the number of unknowns for force evaluation the time domain measurements are divided into several windows. In each time window the structural excitation is decomposed by orthogonal polynomials. The time-variant excitation can be represented approximately by the linear combination of these orthogonal bases. Structural parameters and the coefficients of decomposition are added to the state variable to be identified. The extended Kalman filter (EKF) is augmented and selected as the mathematical tool for the implementation of state variable evaluation. The proposed method is validated numerically with simulation studies of a time-invariant linear structure, a hysteretic nonlinear structure and a time-variant linear shear frame, respectively. Results from the simulation studies indicate that the proposed method is capable of identifying the dynamic load and structural parameters fairly accurately. This method could also identify the time-variant and nonlinear structural parameter even with contaminated incomplete measurement.

Correction of Bilateral Cleft Lip Using Modified Noordhoff Technique (개선된 Noordhoff 방법을 이용한 양측성 구순열의 교정)

  • Cho, Byung Chae;Lee, Yong Jig
    • Archives of Plastic Surgery
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    • v.33 no.4
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    • pp.399-406
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    • 2006
  • Purpose: The authors accessed the anthropometric measurements of fourty non-cleft normal a three-month-old infant and using this obtained data as a basic guideline, authors applied the modified Noordhoff technique for the treatment of bilateral cleft lip. Methods: Over a period of 10 years, a total of 21 bilateral cleft lips were operated. 13 cases of complete and 8 cases of incomplete bilateral cleft lip and palate. In the complete type of bilateral cleft palate, elastic head cap and passive intraoral appliance were applied at 1 to 2 week of age for 2 months duration. The definitive cheiloplasty was performed at 3 months of age using the modified Noordhoff technique. Results: After a follow-up period ranging one to nine years, most patients presented with cosmetically and functionally satisfying results, with an exception of two cases where an undesired peaking effect of the vermilion and dimpling of the vermilion mucosa was encountered. Conclusion: Accessing the anthropometric measurements of fourty non-cleft normal three-month-old infant and using this obtained dara as a guideline, the modified Noordhoff technique can be applied to either complete or incomplete bilaterally cleft lip providing more naturally pleasing and cosmetically satisfying scars that lie in harmony with the philtral ridges, lip tubercle positioned just below the vermilion and a distinct white line and Cupid's bow.

Algorithms for Handling Incomplete Data in SVM and Deep Learning (SVM과 딥러닝에서 불완전한 데이터를 처리하기 위한 알고리즘)

  • Lee, Jong-Chan
    • Journal of the Korea Convergence Society
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    • v.11 no.3
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    • pp.1-7
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    • 2020
  • This paper introduces two different techniques for dealing with incomplete data and algorithms for learning this data. The first method is to process the incomplete data by assigning the missing value with equal probability that the missing variable can have, and learn this data with the SVM. This technique ensures that the higher the frequency of missing for any variable, the higher the entropy so that it is not selected in the decision tree. This method is characterized by ignoring all remaining information in the missing variable and assigning a new value. On the other hand, the new method is to calculate the entropy probability from the remaining information except the missing value and use it as an estimate of the missing variable. In other words, using a lot of information that is not lost from incomplete learning data to recover some missing information and learn using deep learning. These two methods measure performance by selecting one variable in turn from the training data and iteratively comparing the results of different measurements with varying proportions of data lost in the variable.

AN EXPERIENCE OF UNILATERAL INCOMPLETE CLEFT LIP REPAIR BY USING BARDACH'S TRIANGULAR FLAP (Bardach 삼각피판법을 이용한 편측성 불완전 구순열의 수복 경험)

  • Ryu, Sun-Youl;Han, Chang-Hun
    • Maxillofacial Plastic and Reconstructive Surgery
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    • v.28 no.4
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    • pp.348-355
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    • 2006
  • Tennison was the first to recognize and to preserve the Cupid's bow by lowering the peak in the margin of the cleft. Randall had modified the Tennison's repair based on accurate measurements. Bardach's technique evolved from the basic concept of triangular flap cleft lip repair described by Tennison-Randall method. Precise measurements are used to define the dimensions of the equilateral triangular flap, which is created on the cleft side and is inserted into an equilateral triangular defect on the noncleft side. Two symmetrical vertical distances on either side of the cleft are thus formed. It is essential that the incisions in the skin correspond precisely with those on the muscles and mucosa, and that all layers are sutured with the use of the triangular flap, thus preventing vertical scar contracture. This procedure produces a symmetric, balance lip with a well-defined Cupid's bow, a symmetric vermilion, and a properly aligned orbicularis oris muscle. We had treated three patients with unilateral incomplete cleft lip by using Bardach's triangular flap method. The operation scars could be reduced comparing to Millard method because Bardach's method did not use the columella base and the alar base incision. And the flap design was more simple and accurate comparing to Tennison-Randall method. On the other hand, the postoperative scars on the philtrum pointed as a disadvantage of triangular flap method were cosmetically acceptable because the three patients had incomplete cleft lip. We have experienced that Bardach's triangular flap is a recommendable technique for the repair of unilateral incomplete cleft lip.

A Model-based Study on the Expansion of Measured Data and the Damage Detection (모델기반의 계측데이터 확장 및 손상 추정에 관한 연구)

  • Kang, Taik-Seon;Lee, Byeong-Hyeon;Eun, Hee-Chang
    • Journal of the Architectural Institute of Korea Structure & Construction
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    • v.34 no.3
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    • pp.3-10
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    • 2018
  • It's not practical to collect all information at the entire degrees of freedom of finite element model. The incomplete measurements should be expanded for subsequent analysis and damage detection. This work presents the analytical methods to expand the incomplete static or dynamic response data. Using the expanded data, introducing the concept of residual force, and minimizing the performance index expressed as the stiffness matrix and its difference before and after damage, the variation in stiffness matrix is derived. Based on the difference in the stiffness matrix, the damage detection method of structures is also provided. The validity of the proposed methods is illustrated in a numerical application, the numerical results are analyzed for applications, and the applicability of both methods is investigated.