• Title/Summary/Keyword: 단자유도모델

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Equivalent SDF Systems Representing Steel Moment Resisting Frames (철골 모멘트 골조의 지진해석을 위한 등가 단자유도시스템)

  • Han, Sang-Whan;Moon, Ki-Hoon;Kim, Jin-Seon
    • Journal of the Earthquake Engineering Society of Korea
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    • v.12 no.3
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    • pp.21-28
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    • 2008
  • To evaluate the seismic performance of multi-degree of freedom(MDF) systems, repeated nonlinear response history analyses are often conducted, which require extensive computational efforts. To reduce the amount of computation required, equivalent single degree of freedom(SDF) systems representing complex multi-degree of freedom(MDF) systems have been developed. For the equivalent SDF systems, bilinear models and trilinear models have been most commonly used. In these models, the P-$\Delta$ effect due to gravity loads during earthquakes can be accounted for by assigning negative stiffness after elastic range. This study evaluates the adequacy of equivalent SDF systems having these hysteretic models to predict the actual response of steel moment resisting frames(SMRF). For this purpose, this study conducts cyclic pushover analysis, nonlinear time history analysis and incremental dynamic analysis(IDA) for SAC-Los Angeles 9-story buildings using nonlinear MDF models(exact) and equivalent SDF models(approximate). In addition, this study considers the strength limited model.

Study on the Design Method Development of Crash Cushion Using Single Degree of Freedom (단자유도계를 이용한 충격흡수시설의 설계법 개발)

  • Joo, Jae-Woong;Kim, Ki-Jung;Jang, Dae-Young;Son, Seung-Neo
    • International Journal of Highway Engineering
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    • v.9 no.3
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    • pp.91-100
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    • 2007
  • The most important thing for driver's safety on the road is equipment of crash cushion as a vehicle protection safety facility. But development of crash cushion is defective because there's no rational and reality way of design. And also without an alternative plan, it rely on crash test hereby it suffers a great economic loss and wastes time. This study that uses data of cash test proves the suitability of single degree of freedom which considers the safety of passengers about three-dimensional complicated Crash Analysis. As the study analyzes the conduct of crash cushion, it want to develop the effective method of design on Single Degree of Freedom Crash Cushion. And it presents the way of crash cushion design through making a crash analysis model with single degree of freedom. To verify the validness of the crash cushion plan, with single degree of freedom plan, we make the level CC2 crash cushion and execute the crash test. A performance test brings satisfied result and a plan of single degree of freedom crash cushion is proven as an one of the way to be a good system which can design crash cushion.

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Comparative Study on Seismic Performance of Viscously Damped Self-Centering SDOF Systems with Elasto-Plastic SDOF Systems (점성 감쇠기를 가진 셀프 센터링 단자유도 시스템과 탄소성거동의 단자유도 시스템의 내진성능 비교에 관한 연구)

  • Kim, Hyung-Joon
    • Journal of Korean Society of Steel Construction
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    • v.22 no.6
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    • pp.553-561
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    • 2010
  • The purpose of this paper is to analytically find the approximate supplement damping ratio of the viscous damper installed in self-centering (SC) single-degree-of-freedom (SDOF) systems with maximum displacements that are similar to those of elasto-plastic (EP) SDOF systems. The behavior of an SC SDOF system under harmonic cyclic loading was first described. Then an analytical model that can capture the behavior of the viscously damped SC SDOF system was introduced. Analysis parameters that characterize the hysteresis of the EP and SC SDOF systems were chosen, and nonlinear time-history analyses were performed using 20 historical accelerograms. Most of the SC SDOF systems with viscous dampers with approximately 10-15% damping ratios presented mean maximum displacement values that were similar to those of the EP SDOF systems. To investigate in detail the seismic performance of both systems, three EP SDOF systems and six corresponding SC SDOF systems were selected. The analyses showed that all the SC SDOF systems eliminated the residual displacements after the end of their shaking, and that the SC SDOF systems with 15% damping ratios performed better than the EP SDOF systems in terms of maximum displacement and acceleration response.

Dynamic Instability of Strength-Limited Bilinear SDF Systems (강도한계 이선형 단자유도 시스템의 동적 불안정)

  • Han, Sang-Whan;Kim, Jong-Bo;Bae, Mun-Su;Moon, Ki-Hoon
    • Journal of the Earthquake Engineering Society of Korea
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    • v.12 no.5
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    • pp.23-29
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    • 2008
  • This study investigates the dynamic instability of strength-limited bilinear single degree of freedom (SDF) systems under seismic excitation. The strength-limited bilinear hysteretic model best replicates the hysteretic behavior of the steel moment resisting frames. To estimate the dynamic instability of SDF systems, the collapse strength ratio is used, which is the yield-strength reduction factor when collapse occurs. Statistical studies are carried out to estimate median collapse strength ratios and those dispersions of strength-limited bilinear SDF systems with given natural periods, hardening stiffness ratios, post-capping stiffness ratios, ductility and damping ratios ranging from 2 to 20% subjected to 240 earthquake ground motions recorded on stiff soil sites. Equations to calculate median and standard deviation of collapse strength ratios in strength-limited bilinear SDF systems are obtained through nonlinear regression analysis. By using the proposed equations, this study estimated the probabilistic distribution of collapse strength ratios, and compared this with the exact values from which the accuracy of the proposed equations was verified.

Development of an SDOF Model for Seismic Performance Evaluation of Low to Mid-Rise Reinforced Concrete Residential Buildings (중저층 철근콘크리트 주거형 건축물의 내진성능평가를 위한 단자유도 모델 구축)

  • Minseok Park;Seoyoun Lee;Insub Choi
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.37 no.5
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    • pp.301-308
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    • 2024
  • During earthquakes, buildings can suffer damage ranging from minor to severe, potentially leading to collapses and resulting in loss of life and property. To mitigate these risks, it is essential to evaluate the seismic performance of buildings. Current seismic performance evaluation techniques require significant time as they focus on individual buildings. Therefore, there is a need to develop evaluation techniques that can be applied on a regional scale. This study proposes a single-degree-of-freedom model with a nonlinear shear spring to assess the seismic performance and plan the reinforcement of reinforced concrete residential buildings. The nonlinear shear spring, defined by the T-SR-μ parameter, is used to simulate the nonlinear response of the structure. By applying 100-PEER ground motions to this model, the seismic performance of the buildings was evaluated based on the maximum inter-story drift ratio response. The applicability of the proposed technique was confirmed by comparing it with detailed models, where both models assessed the seismic performance of the buildings at similar levels. This results demonstrate that the proposed method can accurately predict the seismic performance of actual buildings.

A Study on Cumulative Structural Damage (누적된 손상을 입은 구조물의 거동)

  • Kim, Nam-Hee
    • Proceedings of the Earthquake Engineering Society of Korea Conference
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    • 2005.03a
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    • pp.252-257
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    • 2005
  • 비보강 조적조는 비균일재료로 이루어진 합성재료에 가까우므로 그거동이 하중종류와 구조물의 손상정도에 따라서 매우 달라지게 된다. 본 연구에서는 작은 지진부터 큰 지진까지 수차례의 모의 지진을 받는 구조물의 손상거동을 살펴보기 위한 방법으로, 시간영역 자료를 여러구간으로 나누어서 주파수가 어떻게 변화해 가는지 살펴보았다. 또한 주파수와 강도와의 관계식을 이용하여 단자유도계의 이선형모델도 유도하였다. 하중이 커짐에 따라서 이선형 모델의 강성은 계속적으로 저하됨을 알 수 있다. 실제로 실험결과는 누적된 손상을 받는 구조물의 거동이므로, 조적조의 수치해석적 모델의 개발시 이러한 누적된 손상효과를 합리적으로 처래해야 되는 문제점이 있다.

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슬래브의 유연성을 고려한 집중질량 모델링방법의 개선에 관한 연구

  • 권영철;이상훈;김종수
    • Proceedings of the Korean Nuclear Society Conference
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    • 1996.05d
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    • pp.346-351
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    • 1996
  • 현재 원전의 내진해석 절차에는 수직방향의 동적해석모델을 집중질량-보요소 모델로 나타내고 있으나, 층슬래브이 동적유연성을 합리적으로 고려할 수 있는 기준이 마련되어 있지 않다. 본 연구에서는 벽체로 지지된 4변고정 슬래브를 유한요소모델 및 집중질량모델로 이상화한 후 고유치해석 및 시간이력해석을 수행한 결과, 현재 층슬래브의 수직응답을 얻기 위해 통상적으로 사용되는 일련의 단자유도계 모델은 이에 상응하는 유한요소모델의 각 모드에 대한 평균응답밖에 주지 못함을 확인하였고, 각 모드 층슬래브의 최대응답을 얻기 위해서는 각 고유진동수가 최소한 이자유도계로 모델링되어야 하며, 이때 이자유도계에 분배할 질량 및 연결보의 강성크기가 각각 1:5와 1:6일때 잘 일치함을 확인하였다. 또한 이렇게 결정된 모델링 방법은 실제 전단벽 구조물의 해석을 통해 그 적용성이 입증되었다.

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An Evolution of Nonlinear Dynamic Response of an Unreinforced Masonry Structure (비보강 조적조의 비선형 동적 거동의 전개)

  • Kim, Nam-Hee
    • Journal of the Earthquake Engineering Society of Korea
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    • v.10 no.3 s.49
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    • pp.77-84
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    • 2006
  • Unlike homogeneous material structure, the behavior of masonry structure is not perfectly elastic even in the range of small deformations because it is a non-homogeneous and anisotropic composite structural material, consisting of masonry units, mortar, and grout. This paper proposes a simplified way of investigating the evolution of the deformation and damage of the structure subjected to a series of successive ground motions with varying shaking. Especially, the most simple but useful algorithm of Fast Fourier Transformation (FFT) has been adopted to investigate the evolution of the deformation and damage of the structure tested on the shaking table. Moreover, the development of a hi-linear curve for an equivalent SDOF system which is obtained by exploiting the frequency and stiffness relationship was discussed. Finally, some important findings related to inelastic properties of the URM are summarized.

Response Reduction of a SDOF Structure based on Friction Force Ratio of MR Controller (MR제어기의 마찰력비에 따른 단자유도 구조물의 응답감소)

  • Seong, Ji-Young;Min, Kyung-Won
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.23 no.4
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    • pp.435-443
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    • 2010
  • This study presents key parameters for the structure installed with MR controller in reducing its responses. MR controller is regarded as Bingham model of which control forces are frictional and viscous ones. The parameters are identified as friction force ratios, $R_f$ and $R_h$ which are, respectively, ratio of MR controller friction force to static restoring force for free vibration and ratio of the friction force to amplitude of harmonic force. Structure-MR controller system shows nonlinear response behavior due to friction force. Energy balance strategy is adopted to transform the behavior to linear one with equivalent damping ratio. Finally, proposed equivalent linear process is compared to the nonlinear one, which turns out to give acceptably good results.

Simplified Equivalent Circuit of Hairpin Line Filters (Hairpin Line 여파기의 간단화된 등가회로)

  • 곽우영;박진우
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.24 no.9A
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    • pp.1434-1441
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    • 1999
  • This paper presents an equivalent circuit of the hairpin line filter for accurate analysis and design. Its validity was verified by computer simulations and filter design experiments. Though the various design equations for a hairpin line filter have been proposed, there has not been a practically simplified equivalent circuit because it is hard to effectively represent interconnection effects between non-adjacent elements. In this paper, all the open ports of the hairpin line filter circuit are changed to the short ports using circuit duality, and the resulting circuits are transformed to graph model. The further simplified circuit model is obtained from boundary conditions, and then the final equivalent circuit of the hairpin line filter is derived in a dual structure of the filter.

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