• Title/Summary/Keyword: 정적 처짐

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Free Vibration of Beams with Initial Deflections due to Dead Loads (사하중에 의한 초기처짐을 갖는 보의 자유진동)

  • 이병구;박광규;오상진;모정만
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 1994.04a
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    • pp.154-157
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    • 1994
  • 보는 토목, 건축, 기계, 선박, 항공 등 구조공학 분야에서 가장 기본이 되는 구조단위이므로 그에 대한 동적해석 특히 자유진동에 관한 많은 연구들이 발표되고 있다. 이제까지 이러한 연구들은 사항중으로 인한 정적 초기처짐의 영향을 고려하지 않은 논문들이다. 최근 재료과학의 발달로 고강도의 재료가 출현하고 따라서 세장비가 매우 큰 구조물의 시공이 가능하게 되어 정적 처짐이 다소 큰 구조물에서도 정적 안전성을 확보할 수 있게 되었다. 그러나 이러한 경우에 정적 초기처짐은 구조물의 동적거동에 영향을 줄 것으로 생각된다. 본 연구는 문헌[7]에서 유도된 편미분방정식을 이용하여 사하중에 의한 정적 초기처짐을 갖는 보의 자유진동을 지배하는 상미분방정식을 유도하고 이를 수치해석하여 고유진동수와 진동형을 산출하는데 연구목적이 있다.

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Damage Detection in Steel Box Girder Bridge using Static Responses (강박스 거더교에서 정적 거동에 의한 손상 탐지)

  • Son, Byung Jik;Huh, Yong-Hak;Park, Philip;Kim, dong Jin
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.26 no.4A
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    • pp.693-700
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    • 2006
  • To detect and evaluate the damage present in bridge, static identification method is known to be simple and effective, compared to dynamic method. In this study, the damage detection method in steel box girder bridge using static responses including displacement, slope and curvature is examined. The static displacement is calculated using finite element analysis and the slope and curvature are determined from the displacement using central difference method. The location of damage is detected using the absolute differences of these responses in intact and damaged bridge. Steel box girder bridge with corner crack is modeled using singular element in finite element method. The results show that these responses were significantly useful in detecting and predicting the location of damage present in bridge.

A Study on the Field Application of the Measurement Technique for Static Displacement of Bridge Using Ambient Vibration (상시 진동을 이용한 교량 정적 처짐 산정 기술의 현장 적용성 연구)

  • Sang-Hyuk Oh;Dae-Joong Moon;Kwang-Myong Lee
    • Journal of the Korean Recycled Construction Resources Institute
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    • v.11 no.4
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    • pp.355-363
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    • 2023
  • In safety assessment of a aged bridge, dynamic characteristics and displacement are directly related to the rigidity of the structural system, especially displacement is the most important factor as the physical quantity that the bridge user can directly detect. However, in order to measure the displacement of the bridge, it is difficult to install displacement sensors at the bottom of the bridge and conduct traffic blocking and loading tests, resulting in increased costs or impossible measurements depending on the bridge's environment. In this study, a method of measuring the displacement of a bridge using only accelerometers without installing displacement sensors and ambient vibration without a loading test was proposed. For the analysis of bridge dynamic characteristics and displacement using ambient vibration, the mode shape and natural frequency of the bridge were extracted using a TDD technique known to enable quick analysis with simple calculations, and the unit load displacement of the bridge was analyzed through flexibility analysis to calculate static displacement. To verify this proposed technology, an on-site test was conducted on C Bridge, and the results were compared with the measured values of the loading test and the structural analysis data. As a result, it was confirmed that the mode shape and natural frequency were 0.42 to 1.13 % error ratio, and the maximum displacement at the main span was 3.58 % error ratio. Therefore, the proposed technology can be used as a basis data for indirectly determine the safety of the bridge by comparing the amount of displacement compared to the design and analysis values by estimating the displacement of the bridge that could not be measured due to the difficulty of installing displacement sensors.

Improved Static Element Stiffness Matrix of Thin-Walled Beam-Column Elements (박벽보-기둥 요소의 개선된 정적 요소강성행렬)

  • Yun, Hee Taek;Kim, Nam Il;Kim, Moon Young;Gil, Heung Bae
    • Journal of Korean Society of Steel Construction
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    • v.14 no.4
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    • pp.509-518
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    • 2002
  • In order to perform the spatial buckling and static analysis of the nonsymmetric thin-walled beam-column element, improved exact static stiffness matrices were evaluated using equilibrium equation and force-deformation relationships. This numerical technique was obtained using a generalized linear eigenvalue problem, by introducing 14 displacement parameters and system of linear algebraic equations with complex matrices. Unlike the evaluation of dynamic stiffness matrices, some zero eigenvalues were included. Thus, displacement parameters related to these zero eigenvalues were assumed as polynomials, with their exact distributions determined using the identity condition. The exact displacement functions corresponding to three loadingcases for initial stress-resultants were then derived, by consistently combining zero and nonzero eigenvalues and corresponding eigenvectors. Finally, exact static stiffness matrices were determined by applying member force-displacement relationships to these displacement functions. The buckling loads and displacement of thin-walled beam were evaluated and compared with analytic solutions and results using ABAQUS' shell element or straight beam element.

An Estimation of Panel Deflection at Engine Room Upper Deck for the Ship Under Construction (건조중인 선박에서의 기관실 상갑판 판부재의 처짐 예측)

  • Juh-H. Ham;Ul-N. Kim
    • Journal of the Society of Naval Architects of Korea
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    • v.31 no.3
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    • pp.119-128
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    • 1994
  • Deflection estimation at engine room upper deck panel is performed for the actual ship structure. These deflection behaviours are basically investigated from not only the data based on the full series results of nonlinear analysis using Incremental Galerkin's Method but also actual deflection data measured from damaged ship under construction in dry dock. The effects of residual stress, initial deflection and static loading are also included. The computed estimation results of upper deck plate panel including theme effects are shown that upper deck platings of new ship expected less deflection magnitude than damaged ship.

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굽힘 곡선을 이용한 공작기계 주축의 취약부 규명

  • 이찬홍;이후상
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1994.04b
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    • pp.449-453
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    • 1994
  • 공작기계의 가공정밀도는 공구와 공작물간의 상대변위 크기로서 평가되는데, 이 상대변위는 가공중에 발생 하는 절삭력이 공구-척-주축-기계구조물-안내면-가공테이블-공작물로 이어지는 하중전달 폐곡선을 흐르면서 경로상의 정적, 동적 취약부의 주된 영향을 받아 생기거나 각 요소부품의 변형이 누적되어 생겨난다. 본 연구에서는 주축의 취약부를 규명하기 위하여 정적으로는 정적 처짐곡선을 이용하고, 동적으로는 진동모우드의 굽힘곡선을 이용하여 주축선단의 처짐에 가장 영향을 많이주는 부위를 파악하였다. 취약부의 개선방법으로는 주축지름을 변화시켜 주축선단 근처에서 굽힘이 집중되지 않도록 유도하였다. 그리고 구조개선의 효과를 확인 하기 위해서 기존 주축시스템과 개선 주축시스템의 정적, 동적 특성변화를 비교하였다.

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A Damage Assessment Technique for Bridges Using Static Displacements (정적변위를 이용한 교량의 손상도 평가기법)

  • Choi, Il Yoon;Cho, Hyo Nam
    • Journal of Korean Society of Steel Construction
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    • v.14 no.5 s.60
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    • pp.641-646
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    • 2002
  • A new damage detection technique using static displacement data was developed, in order to assess the structural integrity of bridge structures. In conventional damage assessment techniques using dynamic response, the variation of natural frequencies is intrinsically insensitive to the damage of the bridge: thus, it is usually difficult to obtain them from the measured data. The proposed detection method enables the estimation of the stiffness reduction of bridges using the static displacement data that are measured periodically, without requiring a specific loading test. Devices such as a laser displacement sensor can be used to measure static displacement data due to the dead load of the bridge structure. In this study, structural damage was represented by the reduction in the elastic modulus of the element. The damage factor of the element was introduced to estimate the stiffness reduction of the bridge under consideration. Likewise, the proposed algorithm was verified using various numerical simulations and compared with other damage detection methods. The effects of noise and number of damaged elements on damage detection were also investigated. Results showed that the proposed algorithm efficiently detects damage on the bridge.

Prediction of the Static Deflection Profiles on Suspension Bridge by Using FBG Strain Sensors (FBG 변형률센서를 이용한 현수교의 정적 처짐형상 추정)

  • Cho, Nam-So;Kim, Nam-Sik
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.28 no.5A
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    • pp.699-707
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    • 2008
  • For most structural evaluation of bridge integrity, it is very important to measure the geometric profile, which is a major factor representing the global behavior of civil structures, especially bridges. In the past, because of the lack of appropriate methods to measure the deflection profile of bridges on site, the measurement of deflection has been restricted to just a few discrete points along the bridge, and the measuring points have been limited to the locations installed with displacement transducers. Thus, some methods for predicting the static deflection by using fiber optic strain sensors has been applied to simply supported bridges. In this study, a method of estimating the static deflection profile by using strains measured from suspension bridges was proposed. Based on the classical deflection theory of suspension bridges, an equation of deflection profile was derived and applied to obtain the actual deflection profile on Namhae suspension bridge. Field load tests were carried out to measure strains from FBG strain sensors attached inside the stiffening girder of the bridge. The predicted deflection profiles were compared with both precise surveying data and numerical analysis results. Thus, it is found that the equation of predicting the deflection profiles proposed in this study could be applicable to suspension bridges and the FBG strain sensors could be reliable on acquiring the strain data from bridges on site.

A Study on the Static and Dynamic Characteristics of Raised Girder Bridges (양각 거더교의 정적·동적특성에 관한 연구)

  • Ji-Yeon Lee;Sung Kim;Sung-Jin Park
    • Journal of the Society of Disaster Information
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    • v.19 no.4
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    • pp.851-858
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    • 2023
  • Purpose: A study was conducted to ensure the structural safety of a raised girder bridge with improved cross-sectional efficiency compared to the conventional PSC girder. For this purpose, the cross-sectional specifications such as girder length, height, and width were determined, the arrangement of the tendons was designed, and the practical performance of the raised girder under static and dynamic loads was verified. Method: The static performance experiment examined the serviceability limit state by measuring behavioral responses such as deflection and cracking to primary and secondary static loads. In addition, the dynamic load loading experiment measured the acceleration and displacement behavior response over time to calculate the natural frequency and damping ratio to examine the usability limit state. Result: As a result of the static performance test, the deflection value based on the maximum applied load showed stable behavior, and the crack width measured at the maximum applied load level was very small, satisfying the serviceability limit state. In addition, a natural frequency exceeding the natural frequency calculated during the design of the dynamic loading experiment was found, and a damping ratio that satisfies the current regulations was found to be secured.

A Damage Assessment Technique for Bridges Using Conjugate Beam Theory (공액보 방법을 이용한 교량 손상도 평가기법)

  • Choi, Il Yoon;Choi, Eunsoo;Lee, Jun Suk;Cho, Hyo Nam
    • Journal of Korean Society of Steel Construction
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    • v.15 no.6 s.67
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    • pp.603-610
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    • 2003
  • A damage identification technique using static displacement data is developed to asses s the structural integrity of bridge structures.As such, the relationship between static displacement and stiffness is derived, and the optimization technique utilized.Comparisons with numerical and experimental tests are performed to investigate the practical applicability of the proposed method.Various damage scenarios are considered by varying damage-width as well as damage-degree. The influence of noise in identifying the damage is also numerically investigated.Finally, the applicability and limitation of the proposed method are discussed.