• Title/Summary/Keyword: modal vector sensitivity

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Improved Damage Assessment Algorithm Using Limited Mode Shapes (제한된 모드형상을 이용한 개선된 손상평가 알고리즘)

  • 이종순;조효남;허정원;이성칠
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.15 no.1
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    • pp.127-136
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    • 2002
  • This papers presents a practical damage detection algorithm based on damage index method that accurately assesses both the location and severity of the localized detriment in a bridge structure using only limited mode shapes. In the algorithm, the ratio of the modal vector sensitivity of an undamaged structure to that of a damaged structure is used as an indicator of damage. However, a difficulty arises when the damaged element is located at a node of mode where the amplitude of medal vector is close to zero, leading the singularity of the ratio (i.e., division-by-zero). This singularity problem is overcome by introducing a parameter denoted a sensitivity filter, a function of mode shape of the structure, in modal vector sensitivity. Using this concept, an improvement can be considerably achieved in the estimation of both degree of severity and location of damage. To verify the proposed algorithm, its numerical implementations are conducted for a simply supported beam and a 2-span continuous beam.

Determination of optimal accelerometer locations using modal sensitivity for identifying a structure

  • Kwon, Soon-Jung;Woo, Sungkwon;Shin, Soobong
    • Smart Structures and Systems
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    • v.4 no.5
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    • pp.629-640
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    • 2008
  • A new algorithm is proposed to determine optimal accelerometer locations (OAL) when a structure is identified by frequency domain system identification (SI) method. As a result, a guideline is presented for selecting OAL which can reflect modal response of a structure properly. The guideline is to provide a minimum number of necessary accelerometers with the variation in the number of measurable target modes. To determine OAL for SI applications effectively, the modal sensitivity effective independence distribution vector (MS-EIDV) is developed with the likelihood function of measurements. By maximizing the likelihood of the occurrence of the measurements relative to the predictions, Fisher Information Matrix (FIM) is derived as a function of mode shape sensitivity. This paper also proposes a statistical approach in determining the structural parameters with a presumed parameter error which reflects the epistemic paradox between the determination of OAL and the application of a SI scheme. Numerical simulations have been carried out to examine the proposed OAL algorithm. A two-span multi-girder bridge and a two-span truss bridge were used for the simulation studies. To overcome a rank deficiency frequently occurred in inverting a FIM, the singular value decomposition scheme has been applied.

Vibration based bridge scour evaluation: A data-driven method using support vector machines

  • Zhang, Zhiming;Sun, Chao;Li, Changbin;Sun, Mingxuan
    • Structural Monitoring and Maintenance
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    • v.6 no.2
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    • pp.125-145
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    • 2019
  • Bridge scour is one of the predominant causes of bridge failure. Current climate deterioration leads to increase of flooding frequency and severity and thus poses a higher risk of bridge scour failure than before. Recent studies have explored extensively the vibration-based scour monitoring technique by analyzing the structural modal properties before and after damage. However, the state-of-art of this area lacks a systematic approach with sufficient robustness and credibility for practical decision making. This paper attempts to develop a data-driven methodology for bridge scour monitoring using support vector machines. This study extracts features from the bridge dynamic responses based on a generic sensitivity study on the bridge's modal properties and selects the features that are significantly contributive to bridge scour detection. Results indicate that the proposed data-driven method can quantify the bridge scour damage with satisfactory accuracy for most cases. This paper provides an alternative methodology for bridge scour evaluation using the machine learning method. It has the potential to be practically applied for bridge safety assessment in case that scour happens.

The application of modal filters for damage detection

  • Mendrok, Krzysztof;Uhl, Tadeusz
    • Smart Structures and Systems
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    • v.6 no.2
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    • pp.115-133
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    • 2010
  • A modal filter is a tool used to extract the modal coordinates of each individual mode from a system's output. This is achieved by mapping the response vector from the physical space to the modal space. It decomposes the system's responses into modal coordinates, and thus, on the output of the filter, the frequency response with only one peak corresponding to the natural frequency to which the filter was tuned can be obtained. As was shown in the paper (Deraemecker and Preumont 2006), structural modification (e.g. a drop in stiffness or mass due to damage) causes the appearance of spurious peaks on the output of the modal filter. A modal filter is, therefore, a great indicator of damage detection, with such advantages as low computational effort due to data reduction, ease of automation and lack of sensitivity to environmental changes. This paper presents the application of modal filters for the detection of stiffness changes. Two experiments were conducted: the first one using the simulation data obtained from the numerical 7DOF model, and the second one on the experimental data from a laboratory stand in 4 states of damage.

Determination of Optimal Accelerometer Locations using Mode-Shape Sensitivity (진동형상 민감도에 의한 가속도계 최적위치 결정)

  • Kwon, Soon-Jung;Shin, Soo-Bong
    • Journal of the Earthquake Engineering Society of Korea
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    • v.10 no.6 s.52
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    • pp.29-36
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    • 2006
  • This paper proposes a new algorithm of MS-EIDV (modal sensitivity-effective independence distribution vector) for determining optimal accelerometer locations (OAL) by using the Fisher Information Matrix (FIM) derived from mode-shape sensitivities. Also, the paper provides a reasonable guideline for selecting OAL which can reflect dynamic responses of a structure effectively. Since OAL should be determined with known values of structural parameters but since the parameters can be estimated by applying an inverse method such as SI (system identification) using measured response, the paper proposes a statistical method to overcome the paradox by considering the error bound of the structural parameters. To examine the proposed methods, a frequency-domain SI method has been applied. By using the identified results, the minimum necessary number of accelerometers could be selected depending on the number of target measurable modes. Through simulation studies, the results by applying EIDV method directly using the information of mode shapes were compared with those by applying the proposed MS-EIDV.

Structural damage alarming and localization of cable-supported bridges using multi-novelty indices: a feasibility study

  • Ni, Yi-Qing;Wang, Junfang;Chan, Tommy H.T.
    • Structural Engineering and Mechanics
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    • v.54 no.2
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    • pp.337-362
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    • 2015
  • This paper presents a feasibility study on structural damage alarming and localization of long-span cable-supported bridges using multi-novelty indices formulated by monitoring-derived modal parameters. The proposed method which requires neither structural model nor damage model is applicable to structures of arbitrary complexity. With the intention to enhance the tolerance to measurement noise/uncertainty and the sensitivity to structural damage, an improved novelty index is formulated in terms of auto-associative neural networks (ANNs) where the output vector is designated to differ from the input vector while the training of the ANNs needs only the measured modal properties of the intact structure under in-service conditions. After validating the enhanced capability of the improved novelty index for structural damage alarming over the commonly configured novelty index, the performance of the improved novelty index for damage occurrence detection of large-scale bridges is examined through numerical simulation studies of the suspension Tsing Ma Bridge (TMB) and the cable-stayed Ting Kau Bridge (TKB) incurred with different types of structural damage. Then the improved novelty index is extended to formulate multi-novelty indices in terms of the measured modal frequencies and incomplete modeshape components for damage region identification. The capability of the formulated multi-novelty indices for damage region identification is also examined through numerical simulations of the TMB and TKB.

Detection and quantification of structural damage under ambient vibration environment

  • Yun, Gun Jin
    • Structural Engineering and Mechanics
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    • v.42 no.3
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    • pp.425-448
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    • 2012
  • In this paper, a new damage detection and quantification method has been presented to perform detection and quantification of structural damage under ambient vibration loadings. To extract modal properties of the structural system under ambient excitation, natural excitation technique (NExT) and eigensystem realization algorithm (ERA) are employed. Sensitivity matrices of the dynamic residual force vector have been derived and used in the parameter subset selection method to identify multiple damaged locations. In the sequel, the steady state genetic algorithm (SSGA) is used to determine quantified levels of the identified damage by minimizing errors in the modal flexibility matrix. In this study, performance of the proposed damage detection and quantification methodology is evaluated using a finite element model of a truss structure with considerations of possible experimental errors and noises. A series of numerical examples with five different damage scenarios including a challengingly small damage level demonstrates that the proposed methodology can efficaciously detect and quantify damage under noisy ambient vibrations.

Investment method of FACTS for improvement of stability for KEPCO System (안정도 향상을 위한 한전계통에서의 FACTS 투입 방안 모색)

  • Kang, Sang-Gyun;Lee, Byoung-Jun;Kwon, Sae-Hyuk;Song, Hwa-Chang;Yoon, Jong-Soo;Jang, Byung-Hoon
    • Proceedings of the KIEE Conference
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    • 2005.07a
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    • pp.208-210
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    • 2005
  • 본 논문에서는 전압 불안정성을 해소시키기 위한 방안으로 FACTS를 투입하기 위한 방안에 대하여 논의 하였다. 우선적으로 전압안정도 기준을 수립하고 상정사고에 대하여 PV 해석을 실시하고 전압안정도 기준을 만족시키지 못하는 사고를 스크리닝 한다. 각 상정 사고에 대하여 선정된 전압안정도 기준을 만족하도록 하기 위한 FACTS 투입 방안에 대하여 논의하였다. 일반적으로 전압안정도 측면에서 취약위치를 선정하는 방법으로 VQ해석이나 Tangent vector에 의한 Bus sensitivity를 구하여 부하변화에 대한 전압 감도(dV/$dP_{TOTAL}$)가 큰 모선을 취약 위치로 선정하는 방법, 또는 Modal Analysis를 통해 구한 참여인수값이 큰 모선을 취약 모선으로 선정하는 방법이 있다. 이 논문에서는 VQ해석과 Tangent vector를 이용한 해석 방법을 이용하여 전압안정도 측면에서 취약 위치 및 전압안정도 향상을 위한 FACTS 투입 후보지를 선정하였고 전압안정도 기준을 만족시키기 위해 각 후보지에 투입해야할 FACTS 용량을 산정하였다. 마지막으로 실질적으로 수도권 주요 모선에 모두 FACTS를 투입한 결과와 논문에서 사용한 방법과의 결과를 비교하여 적절한 절차를 사용하여 FACTS가 투입되었음을 확인하였다.

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Implementation of Optical Sensor based on Block Surface Wave and Diffraction Grating Profile (Block 표면파와 회절 격자구조에 기초한 광학 센서의 구현)

  • Ho, Kwang-Chun
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.21 no.4
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    • pp.143-148
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    • 2021
  • A systematic study of Bloch surface wave (BSW), which is created by guided mode resonance (GMR) of dielectric multilayer structures with a grating profile, is presented to analyze the sensing performance of bio-sensors. The effect of structural parameters on optical behavior is evaluated by using Babinet's principle and modal transmission-line theory. The sensitivity of designed bio-sensors is proportional to the grating constant at wavelength spectrum, and inversely proportional to the normal wave vector of incident electromagnetic wave at angular spectrum. Numerical results for two devices with SiO/SiO2 and TiO2/SiO2 multilayer dielectric stacks are presented, showing that BSW can be exploited for the realization of efficient diffraction-based bio-sensors from infrared to visible-band range.