• 제목/요약/키워드: static displacements

검색결과 260건 처리시간 0.026초

Detection of a concentrated damage in a parabolic arch by measured static displacements

  • Greco, Annalisa;Pau, Annamaria
    • Structural Engineering and Mechanics
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    • 제39권6호
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    • pp.751-765
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    • 2011
  • The present paper deals with the identification of a concentrated damage in an elastic parabolic arch through the minimization of an objective function which measures the differences between numerical and experimental values of static displacements. The damage consists in a notch that reduces the height of the cross section at a given abscissa and therefore causes a variation in the flexural stiffness of the structure. The analytical values of static displacements due to applied loads are calculated by means of the principle of virtual work for both the undamaged and damaged arch. First, pseudo-experimental data are used to study the inverse problem and investigate whether a unique solution can occur or not. Various damage intensities are considered to assess the reliability of the identification procedure. Then, the identification procedure is applied to an experimental case, where displacements are measured on a prototype arch. The identified values of damage parameters, i.e., location and intensity, are compared to those obtained by means of a dynamic identification technique performed on the same structure.

Static deflection of nonlocal Euler Bernoulli and Timoshenko beams by Castigliano's theorem

  • Devnath, Indronil;Islam, Mohammad Nazmul;Siddique, Minhaj Uddin Mahmood;Tounsi, Abdelouahed
    • Advances in nano research
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    • 제12권2호
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    • pp.139-150
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    • 2022
  • This paper presents sets of explicit analytical equations that compute the static displacements of nanobeams by adopting the nonlocal elasticity theory of Eringen within the framework of Euler Bernoulli and Timoshenko beam theories. Castigliano's theorem is applied to an equivalent Virtual Local Beam (VLB) made up of linear elastic material to compute the displacements. The first derivative of the complementary energy of the VLB with respect to a virtual point load provides displacements. The displacements of the VLB are assumed equal to those of the nonlocal beam if nonlocal effects are superposed as additional stress resultants on the VLB. The illustrative equations of displacements are relevant to a few types of loadings combined with a few common boundary conditions. Several equations of displacements, thus derived, matched precisely in similar cases with the equations obtained by other analytical methods found in the literature. Furthermore, magnitudes of maximum displacements are also in excellent agreement with those computed by other numerical methods. These validated the superposition of nonlocal effects on the VLB and the accuracy of the derived equations.

RTK-GPS와 가속도계 통합계산을 통한 구조물의 변위 해석 (Displacement Analysis of Structures using RTK-GPS/Accelerometer Integration Methods)

  • 황진상;윤홍식;이동하;홍성남;서용철
    • 한국측량학회지
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    • 제29권6호
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    • pp.583-591
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    • 2011
  • 구조물에서 발생하는 동적변위를 정확하게 취득하는 것은 토목구조물의 안전성을 평가하기 위한 필수적인 사항이다. 본 연구에서는 구조물에 발생하는 변위를 가장 정확하게 측정할 수 있는 RTK-GPS/가속도계 통합방법에 대한 비교와 분석을 수행하였다. 이를 위하여 가속도 자료로부터 동적 변위를 계산할 때에 사용할 수 있는 주요한 2가지 방법을 비교하였고, RTK-GPS로 측정한 변위와 가속도계로 측정한 변위를 통합하여 동적 변위와 정적, 준정적 변위를 모두 측정할 때에 사용할 수 있는 통합계산 방법들을 비교하였다. 엄밀한 비교를 위하여 캔틸레버 보를 제작하고 다양한 종류의 변위를 발생시킨 후 비교 대상 방법별로 이에 대한 측정 정확도를 평가하되 평가의 기준으로 LVDT 측정값을 사용함으로써 정확한 평가가 이루어지도록 하였다. 연구의 결과, 가속도 자료를 FIR 대역필터로 필터링 하고 이중적분하여 변위를 계산하는 방법이 가속도계를 이용한 동적변위 측정에 가장 적합한 것으로 나타났다. 또한, 동적변위와 정적변위, 준정적 변위를 종합적으로 측정하기 위한 RTK-GPS/가속도계 통합계산 방법으로는 대역별 변위 추출에 의한 통합 방법이 적합한 것으로 나타났다.

FRP 바닥판의 해석모델개선을 위한 System Identification 기법 (System Identification for Analysis Model Upgrading of FRP Decks)

  • 서형열;김두기;김동현;취진타오;이영호
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2007년도 춘계학술대회논문집
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    • pp.588-593
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    • 2007
  • Fiber reinforced polymer(FRP) composite decks are new to bridge applications and hence not much literature exists on their structural mechanical behavior. As there are many differences between numerical displacements through static analysis of the primary model and experimental displacements through static load tests, system identification (SI)techniques such as Neural Networks (NN) and support vector machines (SVM) utilized in the optimization of the FE model. During the process of identification, displacements were used as input while stiffness as outputs. Through the comparison of numerical displacements after SI and experimental displacements, it can note that NN and SVM would be effective SI methods in modeling an FRP deck. Moreover, two methods such as response surface method and iteration were proposed to optimize the estimated stiffness. Finally, the results were compared through the mean square error (MSE) of the differences between numerical displacements and experimental displacements at 6 points.

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System Identification 기법을 이용한 복합소재 바닥판 해석모델의 최적강성추정 (Optimal Stiffness Estimation of Composite Decks Model using System Identification)

  • 서형열;김두기;김동현;취진타오;박기태
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2007년도 정기 학술대회 논문집
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    • pp.565-570
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    • 2007
  • Fiber reinforced polymer(FRP) composite decks are new to bridge applications and hence not much literature exists on their structural mechanical behavior. As there are many differences between numerical displacements through static analysis of the primary model and experimental displacements through static load tests, system identification (SI)techniques such as Neural Networks (NN) and support vector machines (SVM) utilized in the optimization of the FE model. During the process of identification, displacements were used as input while stiffness as outputs. Through the comparison of numerical displacements after SI and experimental displacements, it can note that NN and SVM would be effective SI methods in modeling an FRP deck. Moreover, two methods such as response surface method and iteration were proposed to optimize the estimated stiffness. Finally, the results were compared through the mean square error (MSE) of the differences between numerical displacements and experimental displacements at 6 points.

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Evaluation of responses of semi-rigid frames at target displacements predicted by the nonlinear static analysis

  • Sharma, Vijay;Shrimali, Mahendra K.;Bharti, Shiv D.;Datt, Tushar K.
    • Steel and Composite Structures
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    • 제36권4호
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    • pp.399-415
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    • 2020
  • Responses of semi-rigid frames having different degrees of semi-rigidity obtained by the nonlinear static analysis (NSA) are evaluated at specific target displacements by comparing them with those obtained by the nonlinear time-history analysis (NTHA) for scaled earthquakes. The peak ground accelerations (PGA) of the earthquakes are scaled such that the obtained peak top story displacements match with the target displacements. Three different types of earthquakes are considered, namely, far-field and near-field earthquakes with directivity and fling-step effects. In order to make the study a comprehensive one, three degrees of semi-rigidity (one fully rigid and the other two semi-rigid), and two frames having different heights are considered. An ensemble of five-time histories of ground motion is included in each type of earthquake. A large number of responses are considered in the study. They include the peak top-story displacement, maximum inter-story drift ratio, peak base shear, total number of plastic hinges, and square root of sum of the squares (SRSS) of the maximum plastic hinge rotations. Results of the study indicate that the nonlinear static analysis provides a fairly good estimate of the peak values of top-story displacements, inter-story drift ratio (for shorter frame), peak base shear and number of plastic hinges; however, the SRSS of maximum plastic hinge rotations in semi-rigid frames are considerably more in the nonlinear static analysis as compared to the nonlinear time history analysis.

정적변위를 고려한 플랜트 구조물의 단자유도 폭발 해석 (Blast Analysis of Single Degree of Freedom Plant Structures Considering Static Displacement)

  • 이재균;이승훈;김한수
    • 한국전산구조공학회논문집
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    • 제35권5호
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    • pp.317-324
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    • 2022
  • 본 논문에서는 등가 단자유도를 이용하여 구조부재의 정적변위를 고려하는 해석기법을 제시하였다. 기존의 단자유도 비선형 동적 해석 알고리듬을 구조부재의 초기정적변위의 영향을 고려할 수 있도록 개선하였다. 가정된 폭발하중 지속시간과 부재의 고유주기 비에 따라 정적변위가 최대응답에 미치는 영향의 차이와 폭발하중의 방향과 초기변위의 방향에 따른 차이를 확인하였다. 이에 따라 기존의 응답 차트를 정적변위를 고려할 수 있도록 폭발하중의 형태에 따라 각각 제시하였다. 설계 예제를 정적변위가 고려된 응답 차트에 적용하여 부재의 최대 변위를 비교 및 분석하였다. 본 연구의 결과를 통해 초기 정적변위를 고려한 구조부재의 최대응답을 쉽게 산정할 수 있으며 본 연구에서 제시한 응답 차트는 플랜트 또는 군사시설물의 내폭 설계에 활용될 수 있다.

DYNAMIC ANALYSIS AND DESIGN CALCULATION METHODS FOR POWERTRAIN MOUNTING SYSTEMS

  • Shangguan, W.B.;Zhao, Y.
    • International Journal of Automotive Technology
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    • 제8권6호
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    • pp.731-744
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    • 2007
  • A method for dynamic analysis and design calculation of a Powertrain Mounting System(PMS) including Hydraulic Engine Mounts(HEM) is developed with the aim of controlling powertrain motion and reducing low-frequency vibration in pitch and bounce modes. Here the pitch mode of the powertrain is defined as the mode rotating around the crankshaft of an engine for a transversely mounted powertrain. The powertrain is modeled as a rigid body connected to rigid ground by rubber mounts and/or HEMs. A mount is simplified as a three-dimensional spring with damping elements in its Local Coordinate System(LCS). The relation between force and displacement of each mount in its LCS is usually nonlinear and is simplified as piecewise linear in five ranges in this paper. An equation for estimating displacements of the powertrain center of gravity(C.G.) under static or quasi-static load is developed using Newton's second law, and an iterative algorithm is presented to calculate the displacements. Also an equation for analyzing the dynamic response of the powertrain under ground and engine shake excitations is derived using Newton's second law. Formulae for calculating reaction forces and displacements at each mount are presented. A generic PMS with four rubber mounts or two rubber mounts and two HEMs are used to validate the dynamic analysis and design calculation methods. Calculated displacements of the powertrain C.G. under static or quasi-static loads show that a powertrain motion can meet the displacement limits by properly selecting the stiffness and coordinates of the tuning points of each mount in its LCS using the calculation methods developed in this paper. Simulation results of the dynamic responses of a powertrain C.G. and the reaction forces at mounts demonstrate that resonance peaks can be reduced effectively with HEMs designed on the basis of the proposed methods.

음향방출법을 응용한 복합재 날개 구조물의 정적구조 건전성 평가 (Evaluation of Static Structural Integrity for Composites Wing Structure by Acoustic Emission Technique)

  • 전준탁;이영신
    • 한국항공우주학회지
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    • 제37권8호
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    • pp.780-788
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    • 2009
  • 복합재 날개 구조물에 대한 구조 건전성 및 손상을 평가하기 위하여 정적 구조강도시험에 음향방출(AE)법이 응용되었다. 시험중 스트레인과 변위측정기법을 통하여 정적구조강도를 확인하였고, 음향방출요소 분석과 위치표정기법을 통하여 구조물의 내부 손상을 평가하고 손상위치를 찾을 수 있었다. 시험은 설계제한하중시험, 2차에 걸친 설계극한 하중시험, 파단시험이 수행되었다. 주요한 AE신호는 front lug근처의 표면에 부착된 센서에 의하여 감지되었다. 특히 1차 설계극한하중시험에서 스트레인 및 변위결과는 내부 손상을 보이지 않았으나 AE신호는 내부 손상이 이미 형성된 현상을 나타내었다. 파단시험에서는 AE활성도가 매우 활발하였고, 스트레인 및 변위의 결과는 심한 손상에 의하여 하중경로가 바뀌는 경향을 나타내었다. 음향방출법을 적용하여 정적 구조시험이 진행되는 동안 내부손상이 발생되는 하중과 위치를 정확하게 평가할 수 있었다. 본 연구로부터 음향방출법은 정적 구조강도시험에 있어 내부 손상을 평가하는데 유용한 기법임이 확인되었다.

Pseudo seismic and static stability analysis of the Torul Dam

  • Karabulut, Muhammet;Genis, Melih
    • Geomechanics and Engineering
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    • 제17권2호
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    • pp.207-214
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    • 2019
  • Dams have a great importance on energy and irrigation. Dams must be evaluated statically and dynamically even after construction. For this purpose, Torul dam built between years 2000 and 2007 Harsit River in Gümüşhane province, Turkey, is selected as an application. The Torul dam has 137 m height and 322 GWh annual energy production capacity. Torul dam is a kind of concrete face rock fill dam (CFRD). In this study, static and pseudo seismic stability of Torul dam was investigated using finite element method. Torul dam model is constituted by numerical stress analysis named Phase2 which is based on finite element method. The dam was examined under 11 different water filling levels. Thirteenth stage of the numerical model is corresponding full reservoir condition which water filled up under crest line. Besides, pseudo static coefficients for dynamic condition applied to the dam in fourteenth stage of the model. Stability assessment of the Torul dam has been discussed according to the displacement throughout the dam body. For static and pseudo seismic cases, the displacements in the dam body have been compared. The total displacements of the dam according to its the empty state increase dramatically at the height of the water level of about 70 m and above. Compared to the pseudo-seismic analysis, the displacement of dam at the full reservoir condition is approximately two times as high as static analysis.