• 제목/요약/키워드: Complex displacement

검색결과 401건 처리시간 0.025초

적층내 탄성 유도초음파의 모드 특성에 관한 연구 (A Study on Elastic Guided Wave Modal Characteristics in Multi-Layered Structures)

  • 조윤호;이종명
    • 비파괴검사학회지
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    • 제28권2호
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    • pp.211-216
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    • 2008
  • 이 연구에서 다층구조물에서 각 모드에 대한 위상속도, 군속도, 감쇠 그리고 파형구조를 구하는 프로그램을 개발하였다. 판의 수와 재료 물성치를 변화시키면서 각 모드의 파형구조를 얻었다. 유체가 닿아 있는 구조물에서 유도파를 이용한 비파괴 검사의 성공여부는 에너지 손실을 최소화하는 모드선정의 최적화이다. 이 연구에서는 자유표면판재의 표면에서 정규화된 두께방향의 변위가 감쇠의 변화를 예측하기 위해서 사용되었으며 감쇠와 파형구조의 관계를 밝혔다. 이것은 유도파의 감쇠를 물이 닿아 있는 경우 복소수근을 찾는 수학적 어려움을 경감하면서 자유표면에서 두께방향 변위의 변화로부터 손쉽게 얻을 수 있다. 이 연구를 통하여 다층구조물에서 보다 민감하고 효율적인 비파괴 검사를 위한 유도파의 모드선정의 최적화 개념을 완성했다.

돔형 공간 구조물의 Rise-span 비에 따른 불안정 거동 특성에 관한 연구 (A Study on the Unstable behavior According to rise-span ratio of dome type space frame)

  • 손수덕;김승덕;강문명
    • 한국공간정보시스템학회:학술대회논문집
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    • 한국공간정보시스템학회 2004년도 춘계 학술발표회 논문집 제1권1호(통권1호)
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    • pp.75-82
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    • 2004
  • Many researcher's efforts have made a significant advancement of space frame structure with various portion, and it becomes the most outsanding one of space structures. However, with the characteristics of thin and long term of spacing, the unstable behavior of space structure is shown by initial imperfection, erection procedure or joint, especially space frame structure represents more. This kind of unstable problem could not be set up clearly and there is a huge difference between theory and experiment. Moreover, the discrete structure such as space frame has more complex solution, this it is not easy to derive the formulation of design about space structure. In this space frame structure, the character of rise-span ratio or load mode is represented by the instability of space frame structure with initial imperfection, and snap-through or bifurcation might be the main phenomenon. Therefore, in this study, space frame structure which has a lot of aesthetic effect and profitable for large space covering single layer is dealt. And because that the unstable behavior due to variation of inner force resistance in the elastic range is very important collapse mechanism, I would like to investigate unstable character as a nonlinear behavior with a geometric nonlinear. In order to study the instability. I derive tangent stiffness matrix using finite element method and with displacement incremental method perform nonlinear analysis of unit space structure, star dome and 3-ring star dome considering rise-span $ratio(\mu}$ and load $ratio(R_L)$ for analyzing unstable phenomenon.

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Ductility and ductility reduction factor for MDOF systems

  • Reyes-Salazar, Alfredo
    • Structural Engineering and Mechanics
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    • 제13권4호
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    • pp.369-385
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    • 2002
  • Ductility capacity is comprehensively studied for steel moment-resisting frames. Local, story and global ductility are being considered. An appropriate measure of global ductility is suggested. A time domain nonlinear seismic response algorithm is used to evaluate several definitions of ductility. It is observed that for one-story structures, resembling a single degree of freedom (SDOF) system, all definitions of global ductility seem to give reasonable values. However, for complex structures it may give unreasonable values. It indicates that using SDOF systems to estimate the ductility capacity may be a very crude approximation. For multi degree of freedom (MDOF) systems some definitions may not be appropriate, even though they are used in the profession. Results also indicate that the structural global ductility of 4, commonly used for moment-resisting steel frames, cannot be justified based on this study. The ductility of MDOF structural systems and the corresponding equivalent SDOF systems is studied. The global ductility values are very different for the two representations. The ductility reduction factor $F_{\mu}$ is also estimated. For a given frame, the values of the $F_{\mu}$ parameter significantly vary from one earthquake to another, even though the maximum deformation in terms of the interstory displacement is roughly the same for all earthquakes. This is because the $F_{\mu}$ values depend on the amount of dissipated energy, which in turn depends on the plastic mechanism, formed in the frames as well as on the loading, unloading and reloading process at plastic hinges. Based on the results of this study, the Newmark and Hall procedure to relate the ductility reduction factor and the ductility parameter cannot be justified. The reason for this is that SDOF systems were used to model real frames in these studies. Higher mode effects were neglected and energy dissipation was not explicitly considered. In addition, it is not possible to observe the formation of a collapse mechanism in the equivalent SDOF systems. Therefore, the ductility parameter and the force reduction factor should be estimated by using the MDOF representation.

한국형 틸팅차량 설계의 비틀린 궤도상의 탈선안전도 검토 (The review of safety against derailment on twisted track for Korean tilting train design)

  • 김남포;김정석;박태원
    • 한국철도학회:학술대회논문집
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    • 한국철도학회 2005년도 춘계학술대회 논문집
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    • pp.299-307
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    • 2005
  • The 180 km/h Korean Tilting Train(TTX) which is now developing as a part of the Korean National R&D project, was elaborately designed. As the tilting trains run curve track with the $30\%$ higher speed than normal trains, the higher centrifugal and dynamic force are expected. Furthermore the complex tilting system increase the probability of failure. Therefore it is very important for tilting train to ensure safety against derailment under the various kind of failed condition in the middle of running as well as normal operating condition. The TTX train have the relatively high roll stiffness to improve the lateral ride comfort and to limit the roll displacement on the curve. But the higher roll stiffness increase the risk of derailment on the twisted track. This paper describes the study to review the safety against derailment caused by the wheel unloading on the severely twisted track. The worst combination of maximum cant change with maximum twist defect was established by numerical simulation. And also it was assumed that the air bag deflated and still the train run its speed limit. Those kind of assumption might be the worst case from the view point of wheel unloading derailment on the twisted track. The dynamic simulation was done by means of VAMPIRE S/W and non-linear transient analysis. We found that derailment quotients Q/P was only slightly influenced by track twist but the wheel unloading was greatly influenced. And we ascertained that the higher roll stiffness the higher wheel unloading. In case of air bag deflated situation, the wheel unloading reached up to $100\%$ which means the wheel lift or jumped. Therefore it was concluded that the design need to be improved to ensure the safety against derailment on the maximum twisted track in case of air bag deflated and tilting train's speed limit.

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수압파쇄균열의 점근적 해석과 경계병치법의 적용성 (Asymptotic Analysis for Hydraulic Fractures and Applicability of Boundary Collocation Method)

  • 심영종;김홍택
    • 한국지반공학회논문집
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    • 제21권6호
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    • pp.93-100
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    • 2005
  • 수압파쇄시 다중으로 분할된 균열의 생성은 자주 발생되는 현상이며 이러한 균열군은 단균열과는 달리 상당히 다른 거동을 나타낸다. 그러나 대부분의 수치기법으로는 이러한 균열군 거동의 모사는 계산량의 증가로 결코 쉽지 않다. 따라서 본 논문에서는 수압파쇄시 생성되는 다수의 균열 변위를 경계병치법을 사용하여 효과적으로 계산하기 위한 방법을 제시하였다. 우선 평행하면서 아주 가깝게 위치한 다중 분할 균열의 점근적 해를 구하고 경계병치법의 균열에 사용된 병치점의 수를 변화시켜 점근적 해와 비교하였다. 그 결과 기존의 기준에 비해 병치점의 수를 10배정도 줄이더라도 얻어지는 결과에는 별 차이가 없음을 밝혀냈다. 따라서 이보다 더욱 복잡한 균열이 존재하는 실제의 경우 병치점의 수를 줄여 적용하여도 경계병치법에 의한 계산은 유효하다는 결론을 얻었다.

경전철 직결식 콘크리트 궤도구조의 열차주행안전성 평가 (Evaluation of Train Running Safety for Direct Fixation Concrete Track on Light Rapid Transit)

  • 최정열;김준형;정지승;이선길
    • 한국안전학회지
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    • 제32권5호
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    • pp.41-46
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    • 2017
  • The coefficient of derailment and the rate of wheel load reduction were used as the index of train running safety that was directly affected the train derailment safety. In aspects of track, the train running safety depends on the complex interaction between wheel and rail, and the track-vehicle conditions (i.e., the curvature, cant, track system, vehicle speed and the operation conditions, etc). In this study, the relationship between the train running safety and the track curvature and vehicle speed for direct fixation concrete tracks currently employed in Korean light rapid transit was assessed by performing field tests using actual vehicles running along the service lines. The measured dynamic wheel load, lateral wheel load and lateral displacement of rail head were measured for same train running on four tested tracks under real conditions, which included curved and tangent tracks placed on the tunnel and bridge, thus increasing the train speed by approximately maximum design speed of each test site. Therefore, the measured dynamic track response was applied to the running safety analysis in order to evaluate the coefficient of derailment, the rate of wheel load reduction and the track gauge widening at each test site, and compare with the corresponding Korean train running safety standard. As the results, the lateral track response of direct fixation concrete track appeared to increase with the decreased track curvature; therefore, it was inferred that the track curvature directly affected the train running safety.

Analytical and higher order finite element hybrid approach for an efficient simulation of ultrasonic guided waves I: 2D-analysis

  • Vivar-Perez, Juan M.;Duczek, Sascha;Gabbert, Ulrich
    • Smart Structures and Systems
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    • 제13권4호
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    • pp.587-614
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    • 2014
  • In recent years the interest in online monitoring of lightweight structures with ultrasonic guided waves is steadily growing. Especially the aircraft industry is a driving force in the development of structural health monitoring (SHM) systems. In order to optimally design SHM systems powerful and efficient numerical simulation tools to predict the behaviour of ultrasonic elastic waves in thin-walled structures are required. It has been shown that in real industrial applications, such as airplane wings or fuselages, conventional linear and quadratic pure displacement finite elements commonly used to model ultrasonic elastic waves quickly reach their limits. The required mesh density, to obtain good quality solutions, results in enormous computational costs when solving the wave propagation problem in the time domain. To resolve this problem different possibilities are available. Analytical methods and higher order finite element method approaches (HO-FEM), like p-FEM, spectral elements, spectral analysis and isogeometric analysis, are among them. Although analytical approaches offer fast and accurate results, they are limited to rather simple geometries. On the other hand, the application of higher order finite element schemes is a computationally demanding task. The drawbacks of both methods can be circumvented if regions of complex geometry are modelled using a HO-FEM approach while the response of the remaining structure is computed utilizing an analytical approach. The objective of the paper is to present an efficient method to couple different HO-FEM schemes with an analytical description of an undisturbed region. Using this hybrid formulation the numerical effort can be drastically reduced. The functionality of the proposed scheme is demonstrated by studying the propagation of ultrasonic guided waves in plates, excited by a piezoelectric patch actuator. The actuator is modelled utilizing higher order coupled field finite elements, whereas the homogenous, isotropic plate is described analytically. The results of this "semi-analytical" approach highlight the opportunities to reduce the numerical effort if closed-form solutions are partially available.

Three dimensional modelling of ancient colonnade structural systems subjected to harmonic and seismic loading

  • Sarhosis, V.;Asteris, P.G.;Mohebkhah, A.;Xiao, J.;Wang, T.
    • Structural Engineering and Mechanics
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    • 제60권4호
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    • pp.633-653
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    • 2016
  • One of the major threats to the stability of classical columns and colonnades are earthquakes. The behavior of columns under high seismic excitation loads is non-linear and complex since rocking, wobbling and sliding failure modes can occur. Therefore, three dimensional simulation approaches are essential to investigate the in-plane and out-of-plane response of such structures during harmonic and seismic loading excitations. Using a software based on the Distinct Element Method (DEM) of analysis, a three dimensional numerical study has been performed to investigate the parameters affecting the seismic behaviour of colonnades' structural systems. A typical section of the two-storey colonnade of the Forum in Pompeii has been modelled and studied parametrically, in order to identify the main factors affecting the stability and to improve our understanding of the earthquake behaviour of such structures. The model is then used to compare the results between 2D and 3D simulations emphasizing the different response for the selected earthquake records. From the results analysis, it was found that the high-frequency motion requires large base acceleration amplitude to lead to the collapse of the colonnade in a shear-slip mode between the drums. However, low-frequency harmonic excitations are more prominent to cause structural collapse of the two-storey colonnade than the high-frequency ones with predominant rocking failure mode. Finally, the 2D analysis found to be unconservative since underestimates the displacement demands of the colonnade system when compared with the 3D analysis.

Numerical investigations on stability evaluation of a jointed rock slope during excavation using an optimized DDARF method

  • Li, Yong;Zhou, Hao;Dong, Zhenxing;Zhu, Weishen;Li, Shucai;Wang, Shugang
    • Geomechanics and Engineering
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    • 제14권3호
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    • pp.271-281
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    • 2018
  • A jointed rock slope stability evaluation was simulated by a discontinuous deformation analysis numerical method to investigate the process and safety factors for different crack distributions and different overloading situations. An optimized method using Discontinuous Deformation Analysis for Rock Failure (DDARF) is presented to perform numerical investigations on the jointed rock slope stability evaluation of the Dagangshan hydropower station. During the pre-processing of establishing the numerical model, an integrated software system including AutoCAD, Screen Capture, and Excel is adopted to facilitate the implementation of the numerical model with random joint network. These optimizations during the pre-processing stage of DDARF can remarkably improve the simulation efficiency, making it possible for complex model calculation. In the numerical investigations on the jointed rock slope stability evaluations using the optimized DDARF, three calculation schemes have been taken into account in the numerical model: (I) no joint; (II) two sets of regular parallel joints; and (III) multiple sets of random joints. This model is capable of replicating the entire processes including crack initiation, propagation, formation of shear zones, and local failures, and thus is able to provide constructive suggestions to supporting schemes for the slope. Meanwhile, the overloading numerical simulations under the same three schemes have also been performed. Overloading safety factors of the three schemes are 5.68, 2.42 and 1.39, respectively, which are obtained by analyzing the displacement evolutions of key monitoring points during overloading.

Dimensional analysis of base-isolated buildings to near-fault pulses

  • Istrati, Denis;Spyrakos, Constantine C.;Asteris, Panagiotis G.;Panou-Papatheodorou, Eleni
    • Structural Engineering and Mechanics
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    • 제75권1호
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    • pp.33-47
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    • 2020
  • In this paper the dynamic behavior of an isolated building subjected to idealized near-fault pulses is investigated. The building is represented with a simple 2-DOF model. Both linear and non-linear behavior of the isolation system is considered. Using dimensional analysis, in conjunction with closed form mathematical idealized pulses, appropriate dimensionless parameters are defined and self-similar curves are plotted on dimensionless graphs, based on which various conclusions are reached. In the linear case, the role of viscous damping is examined in detail and the existence of an optimum value of damping along with its significant variation with the number of half-cycles is shown. In the nonlinear case, where the behavior of the building depends on the amplitude of the excitation, the benefits of dimensional analysis are evident since the influence of the dimensionless 𝚷-terms is easily examined. Special consideration is given to the normalized strength of the non-linear isolation system that appears to play a complex role which greatly affects the response of the 2-DOF. In the last part of the paper, a comparison of the responses to idealized pulses between a linear fixed-base SDOF and the respective isolated 2-DOF with both linear and non-linear damping is conducted and it is shown that, under certain values of the superstructure and isolation system characteristics, the use of an isolation system can amplify both the normalized acceleration and displacement of the superstructure.