• 제목/요약/키워드: nonlinear semi-analytical model

검색결과 42건 처리시간 0.022초

Real-time large-scale hybrid testing for seismic performance evaluation of smart structures

  • Mercan, Oya;Ricles, James;Sause, Richard;Marullo, Thomas
    • Smart Structures and Systems
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    • 제4권5호
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    • pp.667-684
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    • 2008
  • Numerous devices exist for reducing or eliminating seismic damage to structures. These include passive dampers, semi-active dampers, and active control devices. The performance of structural systems with these devices has often been evaluated using numerical simulations. Experiments on structural systems with these devices, particularly at large-scale, are lacking. This paper describes a real-time hybrid testing facility that has been developed at the Lehigh University NEES Equipment Site. The facility enables real-time large-scale experiments to be performed on structural systems with rate-dependent devices, thereby permitting a more complete evaluation of the seismic performance of the devices and their effectiveness in seismic hazard reduction. The hardware and integrated control architecture for hybrid testing developed at the facility are presented. An application involving the use of passive elastomeric dampers in a three story moment resisting frame subjected to earthquake ground motions is presented. The experiment focused on a test structure consisting of the damper and diagonal bracing, which was coupled to a nonlinear analytical model of the remaining part of the structure (i.e., the moment resisting frame). A tracking indictor is used to track the actuator ability to achieve the command displacement during a test, enabling the quality of the test results to be assessed. An extension of the testbed to the real-time hybrid testing of smart structures with semi-active dampers is described.

철근콘크리트 유공 깊은 보에 대한 해석적 연구 (Analytical study on Reinforced Concrete Deep Beams with Opening)

  • 이석주;이종권;이병해
    • 한국콘크리트학회:학술대회논문집
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    • 한국콘크리트학회 2000년도 봄 학술발표회 논문집
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    • pp.587-592
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    • 2000
  • As the residential spaces become high-rised and high-density, Multi-story buildings were constructed with transfer girders, Deep beams, wall foundations, floor diaphragms an shear walls which may have column offsets. Especially, In the analysis and design of Multi-story buildings, the lateral loads must be taken into account. But, there have been no appropriate theory and national design code for predicting ultimate shear strength of reinforced concrete Deep beams with web opening. Only empirical and semi-empirical formulas for predicting their ultimate load bearing capacities due to the complexities of the structural non-linearity and material heterogeneity. So this study analyze tow-dimensional finite element model that represents exactly the behavior of real structures with SBETA which are general nonlinear finite element analysis program, and compare the results with that from the real reinforced Concrete Deep beams with web opening tests. From the comparison, and parametric study, The Study presents the elementary data of the earthquake resistance for the reinforced concrete Deep beams with web opening.

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압축공기주입 구조물에 의한 비선형 파랑변형 및 공기압의 변화에 관한 연구 (Nonlinear Wave Transformation and Air Pressure Variation of Air-Chamber Structure)

  • 김도삼;암전호일랑;양윤모
    • 물과 미래
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    • 제26권1호
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    • pp.71-79
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    • 1993
  • 공기주입 부유구조물에 대한 압력변화의 비선형 특성과 파랑변형을 이론적 및 실험적으로 검토한다. 섭동법과 Green 공식에 의한 두가지 이론적 방법(방법I, II)이 잠수, 반잠수 부유구조물에 의한 파의 비선형성을 평가하기 위해서 적용된다. 더우기 부유 구조물 내의 공기압 변화를 고려하기 위하여 Boyle-Charles 법칙에 따른 단열변화를 가정하여 유도된 공기압축모델이 새로이 개발되었다. 가상경계에서 감쇠정상파를 고려한 방법 I의 이론치는 감시정상파의 영향이 미치지 않는 가상 연직경계면을 같는 방법 II의 값과 잘 일치한다. 두 이론에 의한 이론치는 실험치와 잘 일치함을 보여준다.

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Modeling of unreinforced brick walls under in-plane shear & compression loading

  • Kalali, Arsalan;Kabir, Mohammad Zaman
    • Structural Engineering and Mechanics
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    • 제36권3호
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    • pp.247-278
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    • 2010
  • The study of the seismic vulnerability of masonry buildings requires structural properties of walls such as stiffness, ultimate load capacity, etc. In this article, a method is suggested for modeling the masonry walls under in-plane loading. At the outset, a set of analytical equations was established for determining the elastic properties of an equivalent homogeneous material of masonry. The results for homogenized unreinforced brick walls through detailed modeling were compared in different manners such as solid and perforated walls, in-plane and out-of-plane loading, etc, and it was found that this method provides suitable accuracy in estimation of the wall linear properties. Furthermore, comparison of the results of proposed modeling with experimental out coming indicated that this model considers the non linear properties of the wall such as failure pattern, performance curve and ultimate strength, and would be appropriate to establish a parametric study on those prone factors. The proposed model is complicated; therefore, efforts need to be made in order to overcome the convergency problems which will be included in this study. The nonlinear model is basically semi-macro but through a series of actions, it can be simplified to a macro model.

The modal characteristics of non-uniform multi-span continuous beam bridges

  • Shi, Lu-Ning;Yan, Wei-Ming;He, Hao-Xiang
    • Structural Engineering and Mechanics
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    • 제52권5호
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    • pp.997-1017
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    • 2014
  • According to the structure characteristics of the non-uniform beam bridge, a practical model for calculating the vibration equation of the non-uniform beam bridge is given and the application scope of the model includes not only the beam bridge structure but also the non-uniform beam with added masses and elastic supports. Based on the Bernoulli-Euler beam theory, extending the application of the modal perturbation method and establishment of a semi-analytical method for solving the vibration equation of the non-uniform beam with added masses and elastic supports based is able to be made. In the modal subspace of the uniform beam with the elastic supports, the variable coefficient differential equation that describes the dynamic behavior of the non-uniform beam is converted to nonlinear algebraic equations. Extending the application of the modal perturbation method is suitable for solving the vibration equation of the simply supported and continuous non-uniform beam with its arbitrary added masses and elastic supports. The examples, that are analyzed, demonstrate the high precision and fast convergence speed of the method. Further study of the timesaving method for the dynamic characteristics of symmetrical beam and the symmetry of mode shape should be developed. Eventually, the effects of elastic supports and added masses on dynamic characteristics of the three-span non-uniform beam bridge are reported.

Ultrasonic guided waves-based fatigue crack detection in a steel I-beam: an experimental study

  • Jiaqi Tu;Xian Xu;Chung Bang Yun;Yuanfeng Duan
    • Smart Structures and Systems
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    • 제31권1호
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    • pp.13-27
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    • 2023
  • Fatigue crack is a fatal problem for steel structures. Early detection and maintenance can help extend the service life and prevent hazards. This paper presents the ultrasonic guided waves-based (UGWs-based) fatigue crack detection of a steel I-beam. The semi-analytical finite element model has been built to obtain the wave propagation characteristics. Damage indices in both time and frequency domains were analyzed by considering the characteristic variations of UGWs including the amplitude, phase angle, and wave packet energy. The pulse-echo and pitch-catch methods were combined in the detection scheme. Lab-scale experiments were conducted on welded steel I-beams to verify the proposed method. Results show that the damage indices based on the characteristic variations in the time domain can identify and localize the fatigue crack before it enters the rapid growth stage. The damage severity can be reasonably evaluated by analyzing the time-domain damage indices. Two nonlinear damage indices in the frequency domain give earlier warnings of the fatigue crack than the time-domain damage indices do. The identification results based on the above two nonlinear indices are found to be less consistent under various excitation frequencies. More robust nonlinear techniques needed to be searched and tested for early crack detection in steel I-beams in further study.

강우에 의한 지하수위 변동 예측모델의 개발 및 적용 (A Development of Groundwater Level Fluctuations Due To Precipitations and Infiltrations)

  • 박은규
    • 한국지하수토양환경학회지:지하수토양환경
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    • 제12권4호
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    • pp.54-59
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    • 2007
  • 본 연구에서는 수학적 모델링을 통해 강우에 기인하는 지하수위 변동예측 준-해석학적 모델을 개발하였다. 개발된 모델은 홍천 지역의 지하수위 변동을 예측에 적용되었으며 이를 위하여 지하수 변동 관측자료 및 강우자료가 이용되었다. 개발된 모델은 비선형 파라미터 예측 코드를 활용하여 2003년 지하수위 변동을 예측하도록 적정되었으며 이렇게 최적화에 이용된 입력 파라미터는 그 다음해인 2004년 지하수위 변동을 예측하는데 활용되었다. 강우자료에 기초한 2004년 지하수위 변동 예측은 RMS 오차가 0.18 m로 관측지하수위의 표준편차가 0.44 m인 것으로 미루어 보았을 때 대체로 양호한 것으로 판단된다. 또한 본 연구에서는 개발된 모델을 이용하여 지표 피복의 변화에 기인하는 함양율 감소 시 발생되는 지하수위 변동 예측 및 양수에 의한 인공적인 지하수위 강하를 모사하는데 적용하였다. 본 연구의 결과는 보다 정확한 지하수위 변동 예측증 위해서는 지하수 함양율을 상수로 적용하는 것이 적절치 않으며 강우 패턴의 함수로 결정되어야 함을 보인다.

Nonlinear Force-Free Field Reconstruction Based on MHD Relaxation Method

  • Kang, Jihye;Inoue, Satoshi;Magara, Tetsuya;An, Jun-Mo;Lee, Hwanhee
    • 천문학회보
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    • 제39권1호
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    • pp.72.1-72.1
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    • 2014
  • In this study, we extrapolate a nonlinear force-free field (NLFFF) from an observed photospheric magnetic field to understand the three-dimensional (3D) coronal magnetic field producing a huge solar flare. The purpose of this study is to develop a NLFFF extrapolation code based on the so-called MHD relaxation method and check how accurately our model reconstructs a coronal field. Furthermore, we apply it to the photospheric magnetic field obtained by Helioseismic and Magnetic Imager (HMI) on board Solar Dynamics Observatory (SDO) to reconstruct a 3D magnetic structure. We first investigate factors in controlling the accuracy of our NLFFF code by using a semi-analytical solution obtained by Low & Lou (1990). To extend a work done by Inoue et al. (2014), we apply various boundary conditions at the side and top boundaries in order to make our solution close to a realistic solution. As a consequence, our solution has a good accuracy when three components of a reference field are all fixed at the boundaries. Furthermore, it is also found that our solution is well matched to the Low & Lou solution in the central area of a simulation domain when the three components of a potential field are fixed at side and top boundaries (this approach is close to a realistic solution). Finally, we present the 3D coronal magnetic field producing an X 1.5-class flare in the active region 11166 through the extrapolation from SDO/HMI.

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Study on derivation from large-amplitude size dependent internal resonances of homogeneous and FG rod-types

  • Somaye Jamali Shakhlavi;Reza Nazemnezhad
    • Advances in nano research
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    • 제16권2호
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    • pp.111-125
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    • 2024
  • Recently, a lot of research has been done on the analysis of axial vibrations of homogeneous and FG nanotubes (nanorods) with various aspects of vibrations that have been fully mentioned in history. However, there is a lack of investigation of the dynamic internal resonances of FG nanotubes (nanorods) between them. This is one of the essential or substantial characteristics of nonlinear vibration systems that have many applications in various fields of engineering (making actuators, sensors, etc.) and medicine (improving the course of diseases such as cancers, etc.). For this reason, in this study, for the first time, the dynamic internal resonances of FG nanorods in the simultaneous presence of large-amplitude size dependent behaviour, inertial and shear effects are investigated for general state in detail. Such theoretical patterns permit as to carry out various numerical experiments, which is the key point in the expansion of advanced nano-devices in different sciences. This research presents an AFG novel nano resonator model based on the axial vibration of the elastic nanorod system in terms of derivation from large-amplitude size dependent internal modals interactions. The Hamilton's Principle is applied to achieve the basic equations in movement and boundary conditions, and a harmonic deferential quadrature method, and a multiple scale solution technique are employed to determine a semi-analytical solution. The interest of the current solution is seen in its specific procedure that useful for deriving general relationships of internal resonances of FG nanorods. The numerical results predicted by the presented formulation are compared with results already published in the literature to indicate the precision and efficiency of the used theory and method. The influences of gradient index, aspect ratio of FG nanorod, mode number, nonlinear effects, and nonlocal effects variations on the mechanical behavior of FG nanorods are examined and discussed in detail. Also, the inertial and shear traces on the formations of internal resonances of FG nanorods are studied, simultaneously. The obtained valid results of this research can be useful and practical as input data of experimental works and construction of devices related to axial vibrations of FG nanorods.

Effects of interface delay in real-time dynamic substructuring tests on a cable for cable-stayed bridge

  • Marsico, Maria Rosaria
    • Smart Structures and Systems
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    • 제14권6호
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    • pp.1173-1196
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    • 2014
  • Real-time dynamic substructuring tests have been conducted on a cable-deck system. The cable is representative of a full scale cable for a cable-stayed bridge and it interacts with a deck, numerically modelled as a single-degree-of-freedom system. The purpose of exciting the inclined cable at the bottom is to identify its nonlinear dynamics and to mark the stability boundary of the semi-trivial solution. The latter physically corresponds to the point at which the cable starts to have an out-of-plane response when both input and previous response were in-plane. The numerical and the physical parts of the system interact through a transfer system, which is an actuator, and the input signal generated by the numerical model is assumed to interact instantaneously with the system. However, only an ideal system manifests a perfect correspondence between the desired signal and the applied signal. In fact, the transfer system introduces into the desired input signal a delay, which considerably affects the feedback force that, in turn, is processed to generate a new input. The effectiveness of the control algorithm is measured by using the synchronization technique, while the online adaptive forward prediction algorithm is used to compensate for the delay error, which is present in the performed tests. The response of the cable interacting with the deck has been experimentally observed, both in the presence of delay and when delay is compensated for, and it has been compared with the analytical model. The effects of the interface delay in real-time dynamic substructuring tests conducted on the cable-deck system are extensively discussed.