• 제목/요약/키워드: nonlinear dynamic system

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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.

지진하중을 받는 말뚝 시스템의 고유 진동수 예측 (Prediction of the Natural Frequency of a Soil-Pile-Structure System during an earthquake)

  • 양의규;권선용;최정인;김명모
    • 한국지반공학회:학술대회논문집
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    • 한국지반공학회 2009년도 세계 도시지반공학 심포지엄
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    • pp.976-984
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    • 2009
  • This study proposes a simple method that uses a simple mass-spring model to predict the natural frequency of a soil-pile-structure system in sandy soil. This model includes a pair of matrixes, i.e., a mass matrix and a stiffness matrix. The mass matrix is comprised of the masses of the pile and superstructure, and the stiffness matrix is comprised of the stiffness of the pile and the spring coefficients between the pile and soil. The key issue in the evaluation of the natural frequency of a soil-pile system is the determination of the spring coefficient between the pile and soil. To determine the reasonable spring coefficient, subgrade reaction modulus, nonlinear p-y curves and elastic modulus of the soil were utilized. The location of the spring was also varied with consideration of the infinite depth of the pile. The natural frequencies calculated by using the mass-spring model were compared with those obtained from 1-g shaking table model pile tests. The comparison showed that the calculated natural frequencies match well with the results of the 1-g shaking table tests within the range of computational error when the three springs, whose coefficients were calculated using Reese's(1974) subgrade reaction modulus and Yang's (2009) dynamic p-y backbone curves, were located above the infinite depth of the pile.

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이중골조시스템으로 설계된 복강판-모듈러 구조물의 반응수정계수에 관한 연구 (Study on the Response Modification Factor for a Lightweight Steel Panel-Modular Structure Designed as a Dual Frame System)

  • 이어진;홍성걸
    • 한국지진공학회논문집
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    • 제15권1호
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    • pp.39-48
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    • 2011
  • 본 연구에서는 복강판-모듈러 시스템과 같이 구조 기준에 명시되지 않은 새로운 시스템의 반응수정계수를 산정하는 절차를 제안하였다. 기본 개념은 구조성능 실험결과를 바탕으로 모델링 된 시스템의 비선형 정적 해석 곡선으로부터 세부 구성요소인 초과강도계수와 연성계수의 도출하고, 단자유도 시스템으로 간주하고 평가된 반응수정계수를 다자유도 동적 거동을 고려한 다자유도 밑면전단 수정계수로 수정하여 시스템의 최종적인 반응수정계수를 결정하는 것이다. 제안한 절차에 따라 이중골조시스템으로 설계된 2층부터 5층까지의 복강판-모듈러 시스템에 대해 평가한 결과, 최종적인 반응수정계수는 5층(층고 4m기준)을 복강판-모듈러 시스템의 적용 가능한 층수의 상한으로 하여 4로 결정하는 것이 타당할 것으로 판단하였다.

구조물-비구조요소 2자유도 결합시스템 해석을 통한 비구조요소 내진설계변수 평가 (Evaluation of Seismic Design Parameters for Nonstructural Components Based on Coupled Structure-Nonstructural 2-DOF System Analysis)

  • 배창준;이철호;전수찬
    • 한국지진공학회논문집
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    • 제26권3호
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    • pp.105-116
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    • 2022
  • Seismic demand on nonstructural components (NSCs) is highly dependent on the coupled behavior of a combined supporting structure-NSC system. Because of the inherent complexities of the problem, many of the affecting factors are inevitably neglected or simplified based on engineering judgments in current seismic design codes. However, a systematic analysis of the key affecting factors should establish reasonable seismic design provisions for NSCs. In this study, an idealized 2-DOF model simulating the coupled structure-NSC system was constructed to analyze the parameters that affect the response of NSCs comprehensively. The analyses were conducted to evaluate the effects of structure-NSC mass ratio, structure, and NSC nonlinearities on the peak component acceleration. Also, the appropriateness of component ductility factor (Rp) given by current codes was discussed based on the required ductility capacity of NSCs. It was observed that the responses of NSCs on the coupled system were significantly affected by the mass ratio, resulting in lower accelerations than the floor spectrum-based response, which neglected the interaction effects. Also, the component amplification factor (ap) in current provisions tended to underestimate the dynamic amplification of NSCs with a mass ratio of less than 15%. The nonlinearity of NSCs decreased the component responses. In some cases, the code-specified Rp caused nonlinear deformation far beyond the ductility capacity of NSCs, and a practically unacceptable level of ductility was required for short-period NSCs to achieve the assigned amount of response reduction.

Seismic fragility curves for a concrete bridge using structural health monitoring and digital twins

  • Rojas-Mercedes, Norberto;Erazo, Kalil;Di Sarno, Luigi
    • Earthquakes and Structures
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    • 제22권5호
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    • pp.503-515
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    • 2022
  • This paper presents the development of seismic fragility curves for a precast reinforced concrete bridge instrumented with a structural health monitoring (SHM) system. The bridge is located near an active seismic fault in the Dominican Republic (DR) and provides the only access to several local communities in the aftermath of a potential damaging earthquake; moreover, the sample bridge was designed with outdated building codes and uses structural detailing not adequate for structures in seismic regions. The bridge was instrumented with an SHM system to extract information about its state of structural integrity and estimate its seismic performance. The data obtained from the SHM system is integrated with structural models to develop a set of fragility curves to be used as a quantitative measure of the expected damage; the fragility curves provide an estimate of the probability that the structure will exceed different damage limit states as a function of an earthquake intensity measure. To obtain the fragility curves a digital twin of the bridge is developed combining a computational finite element model and the information extracted from the SHM system. The digital twin is used as a response prediction tool that minimizes modeling uncertainty, significantly improving the predicting capability of the model and the accuracy of the fragility curves. The digital twin was used to perform a nonlinear incremental dynamic analysis (IDA) with selected ground motions that are consistent with the seismic fault and site characteristics. The fragility curves show that for the maximum expected acceleration (with a 2% probability of exceedance in 50 years) the structure has a 62% probability of undergoing extensive damage. This is the first study presenting fragility curves for civil infrastructure in the DR and the proposed methodology can be extended to other structures to support disaster mitigation and post-disaster decision-making strategies.

Steel Jacket으로 보강된 콘크리트 교량에 대한 지진취약도 개발 (Developing Fragility Curves for Concrete Bridges Retrofitted with Steel Jacketing)

  • Kim, Sang-Hoon
    • 한국지진공학회논문집
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    • 제7권5호
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    • pp.75-83
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    • 2003
  • 본 연구의 궁극적인 목표는 콘크리트 교량의 교각을 Steel Jacket으로 보강한 효과를 정량적으로 산정함으로써, 지진 발생시 도로/교통 시스템의 역할을 평가할 수 있는 자료를 제공하는 데에 있다. Steel Jacket으로 보강 시, 교각의 연성능력이 어느 정도 증가되는지, 또 그로 인해 교량의 취약 상태가 어느 정도 개선되는지를 취약도 곡선을 통하여 나타내었다. 본 연구에서 해석적으로 구한 취약도 곡선이, 과거 지진 발생시 수집된 손상 자료를 이용하여 작성된 보강이 안된 교량의 취약도 곡선을 보정하는데 사용하였다. 그 보정은 Steel Jacket 보강 전과 후의 취약도 곡선상의 중간 값들을 비교해 그 증가분 만큼을 반영하는 방식으로 수행되었다.

Assessment of effect of material properties on seismic response of a cantilever wall

  • Cakir, Tufan
    • Geomechanics and Engineering
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    • 제13권4호
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    • pp.601-619
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    • 2017
  • Cantilever retaining wall movements generally depend on the intensity and duration of ground motion, the response of the soil underlying the wall, the response of the backfill, the structural rigidity, and soil-structure interaction (SSI). This paper investigates the effect of material properties on seismic response of backfill-cantilever retaining wall-soil/foundation interaction system considering SSI. The material properties varied include the modulus of elasticity, Poisson's ratio, and mass density of the wall material. A series of nonlinear time history analyses with variation of material properties of the cantilever retaining wall are carried out by using the suggested finite element model (FEM). The backfill and foundation soil are modelled as an elastoplastic medium obeying the Drucker-Prager yield criterion, and the backfill-wall interface behavior is taken into consideration by using interface elements between the wall and soil to allow for de-bonding. The viscous boundary model is used in three dimensions to consider radiational effect of the seismic waves through the soil medium. In the seismic analyses, North-South component of the ground motion recorded during August 17, 1999 Kocaeli Earthquake in Yarimca station is used. Dynamic equations of motions are solved by using Newmark's direct step-by-step integration method. The response quantities incorporate the lateral displacements of the wall relative to the moving base and the stresses in the wall in all directions. The results show that while the modulus of elasticity has a considerable effect on seismic behavior of cantilever retaining wall, the Poisson's ratio and mass density of the wall material have negligible effects on seismic response.

Integrated Guidance and Control Design for the Near Space Interceptor

  • WANG, Fei;LIU, Gang;LIANG, Xiao-Geng
    • International Journal of Aeronautical and Space Sciences
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    • 제16권2호
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    • pp.278-294
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    • 2015
  • Considering the guidance and control problem of the near space interceptor (NSI) during the terminal course, this paper proposes a three-channel independent integrated guidance and control (IGC) scheme based on the backstepping sliding mode and finite time disturbance observer (FTDO). Initially, the three-channel independent IGC model is constructed based on the interceptor-target relative motion and nonlinear dynamic model of the interceptor, in which the channel coupling term and external disturbance are regarded as the total disturbances of the corresponding channel. Then, the FTDO is introduced to estimate the target acceleration and control system loop disturbances, and the feed-forward compensation term based on the estimated values is employed to effectively remove the effect of disturbances in finite time. Subsequently, the IGC algorithm based on the backstepping sliding mode is also given to obtain the virtual control moment. Furthermore, a robust least-squares weighted control allocation (RLSWCA) algorithm is employed to distribute the previous virtual control moment among the corresponding aerodynamic fins and reaction jets, which also takes into account the uncertainty in the control effectiveness matrix. Finally, simulation results show that the proposed IGC method can obtain the small miss distance and smooth interceptor trajectories.

열간사상압연기의 루퍼시스템의 ILQ 제어기 설계 (Design of an ILQ Looper Controller for Rot Strip Mills)

  • 김성배;황이철
    • 대한기계학회논문집A
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    • 제26권8호
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    • pp.1680-1689
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    • 2002
  • This paper studies on the design of a looper control system for hot strip mill finisher using ILQ(Inverse Linear Quadratic optimal control) control method. The loopers are placed between each rolling stands and looper control plays an important role in regulating strip tension. The strip tension is controlled by raising and lowering the looper and by changing the speed of main work rolls. Firstly, it is shown from a nonlinear dynamic simulation that the strip tension is more influenced by difference of rolling speed than that of the looper angle. Secondly, a servo controller of the looper is designed using ILQ control method of which the characteristics and algorithms are simply introduced. Finally, the performances of the ILQ servo controller are compared with those of the LQI servo controller from computer simulation. In result, it is shown that the proposed ILQ servo controller has the better performances and robustness far parameter perturbations and disturbances than those of LQI controller.

Effects of Vibration Fatigue on Compression Strength of Corrugated Fiberboard Containers for Packaging of Fruits during Transport

  • Jung, Hyun-Mo;Park, Jeong-Gil
    • Journal of Biosystems Engineering
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    • 제37권1호
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    • pp.51-57
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    • 2012
  • Purpose: The compression strength of corrugated fiberboard containers used to package agricultural products rapidly decreases owing to various environmental factors encountered during the distribution of unitized products. The main factors affecting compression strength are moisture absorption, long-term top load, and fatigue caused by shock and vibration during transport. This study characterized the durability of corrugated fiberboard containers for packaging fruits and vegetables under simulated transportation conditions. Methods: Compression tests were done after corrugated fiberboard containers containing fruit were vibrated by an electro-dynamic vibration test system using the power spectral density of routes typically traveled to transport fruits and vegetables in South Korea. Results: To predict loss of compression strength owing to vibration fatigue, a multiple nonlinear regression equation ($r^2=0.9217$, $RMSE=0.6347$) was developed using three independent variables of initial container compression strength, namely top stacked weight, loading weight, and vibration time. To test the applicability of our model, we compared our experimental results with those obtained during a road test in which peaches were transported in corrugated containers. Conclusions: The comparison revealed a highly significant ($p{\leq}0.05$) relationship between the experimental and road-test results.