• Title/Summary/Keyword: 비선형 복원력

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활동형 지진격리 시스템을 적용한 지진격리 교량의 비선형 유한요소해석(S/W:ABAQUS, H/W:CrayC94)

  • 음성우
    • Computational Structural Engineering
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    • v.11 no.1
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    • pp.38-45
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    • 1998
  • 최근 국내외에서 활발히 개발되고 있는 지진격리 시스템은 원자력 발전소, 교량, 중요한 공공건물 등의 지진피해를 최소화하기 이하여 널리 적용되고 있다. 그리고 다른 방법에 비하여 경제성 및 효율성이 우수하기 때문에 관련 연구 및 응용이 활발히 진행되고 있다. 이에 따라 국내외에서 격리시스템의 비선형성과 구조물의 불연속성을 고려한 지진격리 구조물의 해석을 통한 거동을 규명하는 연구가 과거 수년간 활발히 진행되어 왔다. 당사(금호건설)는 상부하중 지지능력과 감쇠능력이 우수한 지진격리장치를 개발하였으며 지진격리장치를 설치한 교량의 지진해석을 수행하여 본 지진격리 시스템의 이론적 성능을 파악하였다. 본 수치해석은 CrayC94에 탑재된 비선형 해석에 뛰어난 것으로 알려진 ABAQU를 이용하였다. 본 지진격리 시스템은 적층고무받침(Laminated Rubber Bearing)과 PTFE 미끄럼받침으로 구성되어 있으며, 적층고무받침은 주로 복원력을 제공하며 PTFE 미끄럼받침은 상부하중을 지지하며 마찰감쇠를 제공하여 에너지를 소산하는 역할을 한다. 본 수치해석에서는 선형스프링과 마찰요소를 이용하여 각각을 모형화하였다. 개발된 지진격리 시스템이 주로 사용될 상판자중이 무거운 다경간 연속 PC Box Girder교를 모델교량으로 선택하여 해석을 수행하였으며 수치해석에 사용된 격리시스템의 사전에 수행된 동특성 실험결과를 활용하였다. 이러한 해석을 통하여 이론적 효율성을 파악할 수 있었다.

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Nonlinear Analysis Model Considering Failure Mode of Unreinforced Masonry Wall (파괴모드를 고려한 비보강 조적벽체의 비선형 해석모델)

  • Baek, Eun-Lim;Kim, Jung-Hyun;Lee, Sang-Ho;Oh, Sang-Hoon
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.18 no.4
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    • pp.33-40
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    • 2014
  • The final purpose of this study is to evaluate the seismic performance of unreinforced masonry (URM) building more accurately. For that, shear strength and hysteresis model considering failure mode of the URM wall were discussed. The shear strength of URM wall without openings could be calculated by determining on the minimum value between the rocking strength suggested by domestic research and the sliding strength suggested by FEMA. The wall having openings could be predicted properly by the FEMA method. And the nonlinear hysteresis models for flexural and shear behaviors considering failure mode were proposed. As the result of the nonlinear cyclic analysis that carried out using suggested models, these analysis models were proper to represent the seismic behavior of URM walls.

고감쇠 면진베어링을 이용한 지진응답 감소

  • Koo, Gyeong-Hoe;Lee, Jae-Han;Yoo, Bong
    • Proceedings of the Korean Nuclear Society Conference
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    • 1995.05b
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    • pp.987-992
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    • 1995
  • 본 논문에서는 복잡한 Hysteretic 복원력-변형률 특성을 갖는 고감쇠 면진베어링에 대한 Hysteretic bi-linear 모델을 사용하여 비교적 해의 정확성을 보장할 수 있는 Runge-Kutta 방법으로 지진해석을 위한 공식을 유도하였다. 그리고 Hysteretic bi-linear 모델을 사용한 면진베어링의 응답해석결과로부터 등가선형모델을 구하여 각각의 모델에 대한 지진응답 특성들을 비교분석하였다. 고감쇠 면진베어링을 전형적인 경수로원자로모델에 적용한 결과 면진구조물은 비면진 구조물에 비하여 가속도응답이 크게 감소함을 알 수가 있었다. 또한 면진베어링의 Hysteretic bi-linear 모델을 사용한 지진응답해석은 등가선형모델에 비하여 최대 변위응답특성은 유사하나 가속도응답은 크게 나타났다.

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Evaluation of Structural Performance of Precast Prefabricated Bridge Column using Nonlinear Finite Element Analysis (비선형 유한요소해석을 이용한 조립식 교각의 성능 평가)

  • Chung, Chul-Hun;Yun, Yeon-Suk;Whang, Eun-Jung
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.28 no.3A
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    • pp.383-390
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    • 2008
  • A Precast Prefabricated Bridge Column using steel tube and prestressing bar was proposed for the application of precast method on substructure. A column specimen designed by the proposed bridge column system was made and performed a quasi-static test. The failure mode appeared to be a flexural failure and there is no damage on column segment connection. And it is good use of the self-centering ability by prestressing force. Test results showed that a column specimen satisfy the earthquake specification, and the structural stability was verified. Nonlinear finite element analysis was performed and compared with the test results. Force-displacement relation and location of crack from the analysis results were compared with the test results and it agreed well. The quantitative analysis was also performed by a parametric study using this modeling technique.

Mach Reflection of Sinusoidally- Modulated Nonlinear Stokes Waves by a Thin Wedge (쐐기에 의한 비선형파의 마하반사)

  • Hang-S. Choi;Won-S. Chee
    • Journal of the Society of Naval Architects of Korea
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    • v.28 no.1
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    • pp.53-59
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    • 1991
  • By employing multiple-scale expansion techniques, the diffraction of sinusoidally-modulated nonlinear Stokes waves by a stationary thin wedge has been studied within the framework of potential theory. It is found that the evolution of diffracted waves can be described by the Zakharov equation to the leading order and it can be replaced by the cubic $Schr\ddot{o}dinger$ equation with an additional linear term for stable modulations. Computations are made for the cubic $Schr\ddot{o}dinger$ equation with different values of nonlinear and dispersion parameters. Numerical results well reflect the experimental findings in the amplitude and width of generated stem waves. It is numerically confirmed that the nonlinearity dominates the wave field, while the dispersion hardly affects the wave evolution, and stem waves are likely to be formed for steep incident waves in the case of stable sinusoidal modulations.

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Dynamic Analysis of Guyed Tower Subjected to Random Waves (랜덤파랑하중에 대한 Guyed Tower의 동적 거동해석)

  • 유정선;윤정봉
    • Journal of Ocean Engineering and Technology
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    • v.1 no.1
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    • pp.57-64
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    • 1987
  • Methods of nonlinear stochastic analysis of guyed towers are studied in this paper. Two different kinds of nonlinearities are considered. They are the nonlinear restoring force from the guying system and the nonlinear hydrodynamic force. Analyses are carried out mainly in the frequency domain using linearization techniques. Two methods for the linearization of the nonlinear stiffness are presented, in which the effects of the steady offset and the oscillating component of the structural motion can be adequately analyzed. those two methods are the equivalent linearization method and the average stiffness method. The linearization of the nonlinear drag force is also carried out considering the effect of steady current as well as oscillatory wave motions. Example analyses are performed for guyed tower in 300m water. Transfer functions and the expected maximum values of the deck displacement and the bending moment near the middle of the tower are calculated. Numerical results show that both of the frequency domain methods presented in this paper predict the responses of the sturcture very reasonably compared with those by the time integration method utilzing the random simulations wave particla motions.

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Non-Liner Analysis of Shear Beam Model using Mode Superposition (모드중첩법을 이용한 전단보 모델의 비선형 해석)

  • 김원종;홍성목
    • Journal of the Earthquake Engineering Society of Korea
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    • v.3 no.2
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    • pp.87-96
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    • 1999
  • To analyze the dynamic behavior of structure, direct integration and mode superposition may be utilized in time domain analysis. As finite number of frequencies can give relatively exact solutions, mode superposition is preferable in analyzing structural behavior. In non-linear analysis, however, mode superposition is seldom used since time-varying element stiffness changes stiffness matrix, and the change of stiffness matrix leads to the change of essential constants - natural frequencies and mode shapes. In spite of these difficulties, there are some attempts to adopt mode superposition because of low cost compared to direct integration, but the result is not satisfactory. In this paper, a method using mode superposition in non-linear analysis is presented by separating local element stiffness from global stiffness matrix with the difference between linear and non-linear restoring forces to the external force vectors included. Moreover, the hysteresis model changing with the relative deformation in each floor makes it possible to analyze non-linear behavior of structure. The proposed algorithm is applied to shear beam model and the maximum displacement is compared with the result using direct integration method.

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A Study on the Nonlinear Restoring Force Characteristics for Shear Wall Structures by JEAC 4601 (JEAC 4601에 의한 전단벽 구조물의 비선형 복원력 특성에 대한 고찰)

  • Lee, Won Hun;Kim, Hee Kyun;Song, Sung Bin;Hwang, Kee Tae
    • Journal of the Earthquake Engineering Society of Korea
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    • v.25 no.3
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    • pp.121-128
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    • 2021
  • Structures of domestic nuclear power plants are designed to perform elastic behavior against beyond design earthquakes, but studies on the nonlinear behavior of structures have been insufficient since the beyond design earthquake. Accordingly, it is judged that it will be necessary to develop an evaluation method that considers the nonlinear behavioral characteristics to check the safety margin for a standard nuclear power plant structure. It is confirmed that the restoring force characteristics for each member level can be identified through the calculation formula, and the lateral stiffness for each story can also be easily calculated by JEAC 4601. In addition, as a result of applying the evaluation method of JEAC 4601 as a nonlinear restoring force model of the nuclear power plant, a certain degree of safety margin can be identified.

Closed-Form Solutions to Free Vibration Response of Single Degree of Freedom Systems with Coulomb Friction (쿨롱마찰을 갖는 단자유도계의 자유진동응답에 관한 닫힌 해)

  • Lee, Sung-Kyung
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.33 no.1
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    • pp.9-16
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    • 2020
  • The objective of this study is to propose closed-form solutions to the free vibration response of single-degree-of-freedom (SDOF) systems, as part of fundamental research on dynamic systems with Coulomb friction. The motion of a dynamic system with Coulomb friction is described by a nonlinear differential equation, and, due to the variation in the sign of friction force term with the direction of motion, it is difficult to obtain the closed-form solution. To solve this problem, the nonlinear differential equation is directly computed by numerical integration, or an approximated solution is indirectly obtained using a linear differential equation wherein the damping effect due to Coulomb friction is replaced by an equivalent viscous damping term. However, these conventional methods do not provide a closed-form solution from a mathematical point of view. In this regard, closed-form solutions to the free vibration response of SDOF systems with Coulomb friction are derived herein by considering that the sign of the friction force term is reversed in each half-cycle of motion and by expanding it to the entire time history using the power series function. In addition, for a given initial condition, both the number of free vibration half-cycles and the response at the instant when free vibration motion stops are predicted under the condition that the motion of free vibration is stopped when the amplitude of the friction force is higher than that of the restoring force due to stiffness.

A Study on the Slowly Varying Wave Drift Force Acting on a Semi-Submersible Platform in Waves (반잠수식 시추선에 작용하는 장주기 표류력에 관한 연구)

  • S.Y.,Hong;P.M.,Lee;D.C.,Hong
    • Bulletin of the Society of Naval Architects of Korea
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    • v.26 no.2
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    • pp.49-63
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    • 1989
  • Wave drift forces which are small in magnitudes compared to the first order wave exciting forces can cause very large motion of a vessel in waves. In this paper a theoretical and experimental analysis is made of the mean and slowly varying wave dirft forces on the semi-submersible platform. Theoretical calculations are performed by using near field method with three dimensional diffraction theory and model tests are carried out in regular and irregular waves with a 1/60 semi model. Test results are compared with theoretical calculations and the mooring spring effects in the test are discussed.

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