• 제목/요약/키워드: Subspace Analysis

검색결과 188건 처리시간 0.021초

Output-only modal parameter identification of civil engineering structures

  • Ren, Wei-Xin;Zong, Zhou-Hong
    • Structural Engineering and Mechanics
    • /
    • 제17권3_4호
    • /
    • pp.429-444
    • /
    • 2004
  • The ambient vibration measurement is a kind of output data-only dynamic testing where the traffics and winds are used as agents responsible for natural or environmental excitation. Therefore an experimental modal analysis procedure for ambient vibration testing will need to base itself on output-only data. The modal analysis involving output-only measurements presents a challenge that requires the use of special modal identification technique, which can deal with very small magnitude of ambient vibration contaminated by noise. Two complementary modal analysis methods are implemented. They are rather simple peak picking (PP) method in frequency domain and more advanced stochastic subspace identification (SSI) method in time domain. This paper presents the application of ambient vibration testing and experimental modal analysis on large civil engineering structures. A 15 storey reinforced concrete shear core building and a concrete filled steel tubular arch bridge have been chosen as two case studies. The results have shown that both techniques can identify the frequencies effectively. The stochastic subspace identification technique can detect frequencies that may possibly be missed by the peak picking method and gives a more reasonable mode shapes in most cases.

고차원 자료의 비지도 부분공간 이상치 탐지기법에 대한 요약 연구 (A survey on unsupervised subspace outlier detection methods for high dimensional data)

  • 안재형;권성훈
    • 응용통계연구
    • /
    • 제34권3호
    • /
    • pp.507-521
    • /
    • 2021
  • 고차원 자료에서 이상치를 탐지하기 위해서는 변수를 선별해야 할 필요성이 있다. 이상치 탐지에 적합한 정보가 종종 일부 변수에만 포함되어 있기 때문이다. 많은 수의 부적합한 변수가 자료에 포함될 경우 모든 관측치의 거리가 비슷해지는 집중효과가 발생하고 이로 인해 모든 관측치의 이상정도가 비슷해지는 문제가 발생하게 된다. 부분공간 이상치 탐지기법은 전체 변수 중 이상치 탐지에 적합한 변수들의 집합을 선별하여 관측치의 이상정도를 측정함으로써 이러한 문제를 극복한다. 본 논문은 대표적인 부분공간 이상치 탐지기법을 부분공간 선정 방식에 따라 세가지 유형으로 분류하고 각 유형에 속한 방법론을 부분공간 선정 기준과 이상 정도 측정 방식에 따라 요약한다. 더하여, 부분공간 이상치 탐지기법들을 적용할 수 있는 컴퓨팅 프로그램을 소개하고 집중효과에 대한 간단한 가상 실험과 자료 분석 결과를 제시한다.

Krylov subspace-based model order reduction for Campbell diagram analysis of large-scale rotordynamic systems

  • Han, Jeong Sam
    • Structural Engineering and Mechanics
    • /
    • 제50권1호
    • /
    • pp.19-36
    • /
    • 2014
  • This paper focuses on a model order reduction (MOR) for large-scale rotordynamic systems by using finite element discretization. Typical rotor-bearing systems consist of a rotor, built-on parts, and a support system. These systems require careful consideration in their dynamic analysis modeling because they include unsymmetrical stiffness, localized nonproportional damping, and frequency-dependent gyroscopic effects. Because of this complex geometry, the finite element model under consideration may have a very large number of degrees of freedom. Thus, the repeated dynamic analyses used to investigate the critical speeds, stability, and unbalanced response are computationally very expensive to complete within a practical design cycle. In this study, we demonstrate that a Krylov subspace-based MOR via moment matching significantly speeds up the rotordynamic analyses needed to check the whirling frequencies and critical speeds of large rotor systems. This approach is very efficient, because it is possible to repeat the dynamic simulation with the help of a reduced system by changing the operating rotational speed, which can be preserved as a parameter in the process of model reduction. Two examples of rotordynamic systems show that the suggested MOR provides a significant reduction in computational cost for a Campbell diagram analysis, while maintaining accuracy comparable to that of the original systems.

다중 신호원의 도래방향 추정을 위한 개선된 MVE에 관한 연구 (A Study on an Improved MVE for Estimating the Direction of Arrival of Multiple Sources)

  • 정용민;신준호;김용득
    • 대한전자공학회:학술대회논문집
    • /
    • 대한전자공학회 1999년도 하계종합학술대회 논문집
    • /
    • pp.687-690
    • /
    • 1999
  • Many high-resolution algorithms based on the eigen-decomposition analysis of observed covariance matrix, such as MVE, MUSIC, and EVM, have been proposed. However, the resolution of spectral estimates for these algorithms is severely degraded when Signal-to-Noise Ratio (SNR) is low and arrival angles of signal are close to each other. And EVM and MUSIC is powerful for the characteristic of SNR. But have the limitation that the number of signals presented is known. While MVE is bad the characteristic of SNR. In this study, we propose a modified MVE to enhance the resolution for Direction-Of-Arrival (DOA) estimation of underwater acoustic signal. This is to remove the limitation that existing algorithms should know the information for the number of signals. Because the algorithms founded on the eigen value estimate DOA with only the noise subspace, they have the high-resolution characteristic. And then, with the method reducing the effect of the signal subspace, we are to reduce the degradation because of complementary relationship between the signal subspace and the noise subspace. This paper, with using the simulation data, we have estimated the proposed algorithms, compared it with other high-resolution algorithms. The simulation results show that the modified MVE proposed is accurate and has a better resolution even though SNR is low, under the same condition.

  • PDF

SSA-based stochastic subspace identification of structures from output-only vibration measurements

  • Loh, Chin-Hsiung;Liu, Yi-Cheng;Ni, Yi-Qing
    • Smart Structures and Systems
    • /
    • 제10권4_5호
    • /
    • pp.331-351
    • /
    • 2012
  • In this study an output-only system identification technique for civil structures under ambient vibrations is carried out, mainly focused on using the Stochastic Subspace Identification (SSI) based algorithms. A newly developed signal processing technique, called Singular Spectrum Analysis (SSA), capable to smooth a noisy signal, is adopted for preprocessing the measurement data. An SSA-based SSI algorithm with the aim of finding accurate and true modal parameters is developed through stabilization diagram which is constructed by plotting the identified system poles with increasing the size of data matrix. First, comparative study between different approaches, with and without using SSA to pre-process the data, on determining the model order and selecting the true system poles is examined in this study through numerical simulation. Finally, application of the proposed system identification task to the real large scale structure: Canton Tower, a benchmark problem for structural health monitoring of high-rise slender structures, using SSA-based SSI algorithm is carried out to extract the dynamic characteristics of the tower from output-only measurements.

Application of recursive SSA as data pre-processing filter for stochastic subspace identification

  • Loh, Chin-Hsiung;Liu, Yi-Cheng
    • Smart Structures and Systems
    • /
    • 제11권1호
    • /
    • pp.19-34
    • /
    • 2013
  • The objective of this paper is to develop on-line system parameter estimation and damage detection technique from the response measurements through using the Recursive Covariance-Driven Stochastic Subspace identification (RSSI-COV) approach. To reduce the effect of noise on the results of identification, discussion on the pre-processing of data using recursive singular spectrum analysis (rSSA) is presented to remove the noise contaminant measurements so as to enhance the stability of data analysis. Through the application of rSSA-SSI-COV to the vibration measurement of bridge during scouring experiment, the ability of the proposed algorithm was proved to be robust to the noise perturbations and offers a very good online tracking capability. The accuracy and robustness offered by rSSA-SSI-COV provides a key to obtain the evidence of imminent bridge settlement and a very stable modal frequency tracking which makes it possible for early warning. The peak values of the identified $1^{st}$ mode shape slope ratio has shown to be a good indicator for damage location, meanwhile, the drastic movements of the peak of $2^{nd}$ mode slope ratio could be used as another feature to indicate imminent pier settlement.

화상분석을 이용한 소프트 센서의 설계와 산업응용사례 1. 외관 품질의 수치적 추정과 모니터링 (Soft Sensor Design Using Image Analysis and its Industrial Applications Part 1. Estimation and Monitoring of Product Appearance)

  • 유준
    • Korean Chemical Engineering Research
    • /
    • 제48권4호
    • /
    • pp.475-482
    • /
    • 2010
  • 화상분석(image analysis)을 이용하여 제품의 외관(外觀) 품질을 정량적으로 추정할 수 있는 소프트 센서를 설계하고, 이를 제품의 품질 모니터링에 적용하는 연구를 수행하였다. 여기에 사용된 방법론은 크게 다음의 세 단계로 구성되어 있다: (1) 웨이블릿 변환(wavelet transform)을 이용한 화상으로부터의 질감(texture) 특징 추출, (2) 추출된 질감특징의 부공간 투영(projection on subspace)을 통한 제품 외관의 추정, 그리고 (3) 질감특징의 잠재변수(latent variables) 즉, 외관의 수치적 추정치를 목적에 맞게 사용. 이 방법에서는 제품의 외관을 서로 다른 불연속적인 부류로의 분류 보다는, 연속적인 외관 변화를 일관적이고 정량적으로 추정하는데 초점을 두고자 한다. 이 방법은 인조대리석 외관의 수치적 추정과 품질 모니터링 적용사례를 통해 설명되었다.

Model order reduction for Campbell diagram analysis of shaft-disc-blade system in 3D finite elements

  • Phuor, Ty;Yoon, GilHo
    • Structural Engineering and Mechanics
    • /
    • 제81권4호
    • /
    • pp.411-428
    • /
    • 2022
  • This paper presents the Campbell diagram analysis of the rotordynamic system using the full order model (FOM) and the reduced order model (ROM) techniques to determine the critical speeds, identify the stability and reduce the computational time. Due to the spin-speed-dependent matrices (e.g., centrifugal stiffening matrix), several model order reduction (MOR) techniques may be considered, such as the modal superposition (MS) method and the Krylov subspace-based MOR techniques (e.g., Ritz vector (RV), quasi-static Ritz vector (QSRV), multifrequency quasi-static Ritz vector (MQSRV), multifrequency/ multi-spin-speed quasi-static Ritz vector (MMQSRV) and the combined Ritz vector & modal superposition (RV+MS) methods). The proposed MMQSRV method in this study is extended from the MQSRV method by incorporating the rotational-speed-dependent stiffness matrices into the Krylov subspace during the MOR process. Thus, the objective of this note is to respond to the question of whether to use the MS method or the Krylov subspace-based MOR technique in establishing the Campbell diagram of the shaft-disc-blade assembly systems in three-dimensional (3D) finite element analysis (FEA). The Campbell diagrams produced by the FOM and various MOR methods are presented and discussed thoroughly by computing the norm of relative errors (ER). It is found that the RV and the MS methods are dominant at low and high rotating speeds, respectively. More precisely, as the spinning velocity becomes large, the calculated ER produced by the RV method is significantly increased; in contrast, the ER produced by the MS method is smaller and more consistent. From a computational point of view, the MORs have substantially reduced the time computing considerably compared to the FOM. Additionally, the verification of the 3D FE rotordynamic model is also provided and found to be in close agreement with the existing solutions.

Determination of flutter derivatives by stochastic subspace identification technique

  • Qin, Xian-Rong;Gu, Ming
    • Wind and Structures
    • /
    • 제7권3호
    • /
    • pp.173-186
    • /
    • 2004
  • Flutter derivatives provide the basis of predicting the critical wind speed in flutter and buffeting analysis of long-span cable-supported bridges. In this paper, one popular stochastic system identification technique, covariance-driven Stochastic Subspace Identification(SSI in short), is firstly presented for estimation of the flutter derivatives of bridge decks from their random responses in turbulent flow. Secondly, wind tunnel tests of a streamlined thin plate model and a ${\Pi}$ type blunt bridge section model are conducted in turbulent flow and the flutter derivatives are determined by SSI. The flutter derivatives of the thin plate model identified by SSI are very comparable to those identified by the unifying least-square method and Theodorson's theoretical values. As to the ${\Pi}$ type section model, the effect of turbulence on aerodynamic damping seems to be somewhat notable, therefore perhaps the wind tunnel tests for flutter derivative estimation of those models with similar blunt sections should be conducted in turbulent flow.

직접수열 코드분할 다중접속 시스템의 부공간 기반 미상 간섭 제거 기법 (A Subspace-based Blind Interference Cancellation for the DS/CDMA System)

  • 윤연우;김형명
    • 한국통신학회논문지
    • /
    • 제26권11B호
    • /
    • pp.1510-1521
    • /
    • 2001
  • 이 논문에서는 신호 부공간을 이용한 미상 간섭 제거 기법을 제안하고 성능을 분석한다. 제안한 미상 적응 검파 방식은 적은 계산량으로 신호 부공간의 성분들을 추적하는 개선된 자연 멱 방법을 바탕으로 구현될 수 있다. 이 논문에서 수행한 이론적 분석에 의하면 이 방식의 성능은 정확한 공분산 행렬을 알고 있을 때 상관 제거 검파기와 성능이 동일하다. 또한, 공분산 행렬을 추정할 때는 점근적 결과를 분석한다. 모의 실험을 수행한 결과 기존의 적응 RLS MOE 검파기보다 우수한 성능임을 확인하였다.

  • PDF