• Title/Summary/Keyword: 비선형 정적해석

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Nonlinear Seismic Analysis of Steel Buildings Considering the Stiffnesses of the Foundation-Soil System (기초지반강성을 고려한 철골 건축구조물의 비선형 지진해석)

  • Oh, Yeong Hui;Kim, Yong Seok
    • Journal of Korean Society of Steel Construction
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    • v.18 no.2
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    • pp.173-180
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    • 2006
  • The seismic responses of a building are affected by the base soil conditions. In this study, linear time-history seismic analysis and nonlinear pushover static seismic analysis were performed to estimate the base shear forces of 3-, 5-, and 7-story steel buildings, considering the rigid and soft soil conditions. Foundation soil stiffness, based on the equivalent static stiffness formula, is used for the damper, one of the Link elements in SAP 2000. The base shear forces of the steel buildings, estimated through time-history analysis using the general-purpose structural-analysis program of SAP 2000, were compared with those calculated using the domestic seismic design code, the UBC-97 design response spectrum. and pushover static nonlinear analysis. The steel buildings designed for gravity and wind loads showed elastic responses with a moderate earthquake of 0.11 g, while the elastic soft-soil layer increased the displacement and the base shear force of the buildings due to soil-structure interaction and soil amplification. Therefore, considering the characteristics of the soft-soil layer, it is more reasonable to perform an elastic seismic analysis of a building's structure during weak or moderate earthquakes.

Numerical Analysis for Nonlinear Static and Dynamic Responses of Floating Crane with Elastic Boom (붐(Boom)의 탄성을 고려한 해상크레인의 비선형 정적/동적 거동을 위한 수치 해석)

  • Cha, Ju-Hwan;Park, Kwang-Phil;Lee, Kyu-Yeul
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.34 no.4
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    • pp.501-509
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    • 2010
  • A floating crane is a crane-mounted ship and is used to assemble or to transport heavy blocks in shipyards. In this paper, the static and dynamic response of a floating crane and a heavy block that are connected using elastic booms and wire ropes are described. The static and dynamic equations of surge, pitch, and heave for the system are derived on the basis of flexible multibody system dynamics. The equations of motion are fully coupled and highly nonlinear since they involve nonlinear mass matrices, elastic stiffness matrices, quadratic velocity vectors, and generalized external forces. A floating frame of reference and nodal coordinates are employed to model the boom as a flexible body. The nonlinear hydrostatic force, linear hydrodynamic force, wire-rope force, and mooring force are considered as the external forces. For numerical analysis, the Hilber-Hughes-Taylor method for implicit integration is used. The dynamic responses of the cargo are analyzed with respect to the results obtained by static and numerical analyses.

Full Strength Capacity Connection Design for Medium-Low Rise Braced Steel Structure (가새 골조를 가진 중·저층 건물 접합부의 전강도 설계)

  • Shin, Jeong-Cheol;Sun, Sung-Min;Chung, Young-Woo
    • Journal of Korean Society of Steel Construction
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    • v.23 no.1
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    • pp.1-12
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    • 2011
  • Due to the concept of "full-strength capacity connection," the pushover analysis method became an issue in designing steel connections. It is difficult to apply practically, however, because engineers are unfamiliar with such method. Moreover, there have been insufficient representative studies on them because most of the past pertinent studies were performed based on high-rise and/or virtual structures. As such, for this study, an actual(now in process) steel structure, a medium-low-rise industrial building, was selected. To perform pushover analysis, it was suggested that lateral load patterns be used in a simple and clear manner for three- and two-dimensional analysis models. A new hinge property was also suggested to prevent erroneous connection design results that can occur in the design process. The suggested load patterns showed almost the same results regardless of the model that was used, from which the obtained load patterns were different. This result implies the validity of the suggested load patterns. As for the suggested hinge property, the structural analysis yielded sound and reasonable results, which confirmed the validity of the proposed hinge property.

The Seismic Response Evaluation of Shear Buildings by Various Approximate Nonlinear Methods (비선형 약산법들에 의한 전단형 건물의 지진응답평가)

  • Kim, Jae-Ung;Kang, Pyeong-Doo;Jun, Dae-Han
    • Journal of the Earthquake Engineering Society of Korea
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    • v.9 no.5 s.45
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    • pp.75-86
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    • 2005
  • In performance-based design methods, it is clear that the evaluation of the nonlinear response is required. Analysis methods available to the design engineer today are nonlinear time history analyses, or monotonic static nonlinear analyses, or equivalent static analyses with simulated inelastic influences. The nonlinear time analysis is the most accurate method in computing the nonlinear response of structures, but it is time-consuming and necessitate more efforts. Some codes proposed the capacity spectrum method based on the nonlinear static analysis to determine earthquake-induced demand. The nonlinear direct spectrum method is proposed and studied to evaluate nonlinear response of structures, without iterative computations, given by the structural linear vibration period and yield strength from pushover analysis. The purpose of this paper is to compare the accuracy and the reliability of approximate nonlinear methods with respect to shear buildings and various earthquakes. The conclusions of this study are summarized as follows: 1) Linear capacity spectrum method may fail to find a convergent answer or make a divergence. Even if a convergent answer is found, it has a large error in some cases and the error varies greatly depending on earthquakes. 2) Although nonlinear capacity spectrum method need much less calculation than capacity spectrum method and find an answer in any case, it may be difficult to obtain an accurate answer and generally large error occurs. 3) The nonlinear direct spectrum method is thought to have good applicability because it produce relatively correct answer than other methods directly from pushover curves and nonlinear response spectrums without additional and iterative calculations.

Modified Nonlinear Static Pushover Procedures of MDOF Bridgesfor Seismic Performance Evaluation (내진성능평가를 위한 다자유도 교량의 수정 비선형 등가정적해석법)

  • Cho, Chang-Geun;Kim, Young-Sang;Bae, Soo-Ho
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.10 no.4
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    • pp.175-184
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    • 2006
  • Two methods of the nonlinear static pushover analysis have been presented for the performance-based seismic design and evaluation of MDOF continuous bridges. Guidelines for buildings presented in FEMA-273 applying the Displacement Coefficient Method (DCM) and in ATC applying the Capacity Spectrum Method(CSM) have been modified for MDOF bridges. Two methods are compared with the time- history analysis. The lateral load distribution pattern for seismic loads has been examined in the static pushover analysis. The force-based fiber frame finite element has been implemented in the modeling of reinforced concrete piers.

Estimation of Response Modification Factor and Nonlinear Displacement for Moment Resisting Reinforced Concrete Frames (철근콘크리트 연성 모멘트골조에 대한 반응수정계수와 비선형 변위량의 평가)

  • 김길환;전대한;이상호
    • Journal of the Earthquake Engineering Society of Korea
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    • v.6 no.2
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    • pp.29-37
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    • 2002
  • The purpose of this study is to provide a fundamental data of earthquake resistant design through the estimation of the response modification factor and nonlinear displacement for moment resisting reinforced concrete frames by linear and nonlinear static analysis. The analysis models are designed in accordance with AIK code and then, estimated the response modification factor and nonlinear displacement of the buildings. The parameters such as story numbers(10, 20, 30), plan ratios(1:1, 1:2) and analysis types(2D, 3D) of building structure are chosen for use in this study. After comparing the results of linear and nonlinear static analysis, the response modification factor is obtained as the product of four factors: ductility factor, strength factor, damping factor and redundancy factor. The response modification factor are close to 3.5 in case of 2 span, 4.3 in case of 3 span and 5.0 in case 4 or more span models regardless number of stories and plan ratios. The nonlinear displacement is evaluated from the ratio of story drift angle(nonlinear drift/linear drift). The ratio of story drift angle increases as story numbers increase and the value varies from 5.85 to 9.34.

Calculation of Optimum Damping Ratio of Viscous Dampers Using Capacity Spectrum Method (능력스펙트럼법을 이용한 점성 감쇠기의 적정 감쇠비 산정)

  • 김진구;최현훈
    • Journal of the Earthquake Engineering Society of Korea
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    • v.5 no.1
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    • pp.45-52
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    • 2001
  • 에너지 소산장치가 설치된 건무의 비선형 시간이력해석은 복잡하고 많은 시간이 소모된다. 본 연구에서는 비선형 정적해석법인 능력 스펙트럼을 이용하여 구조물의 주어긴 거동 한계를 만족할 수 있는 감쇠기의 양을 산정하는 방법에 관하여 연구하였다. 먼저 능력스펙트럼법을 이용하여 건물의 비선형 정적응답을 구하고 건물의 응답과 목표변위의 차이를 이용하여 유효감쇠비를 구하고 이러한 유효 감쇠비를 이용하여 필용한 점성 감쇠기의 양을 구하였다. 본 연구에서는 단자 유도계에서 건물의 주기, 요구되는 탄성강도에 대한 항복강도의 비, 항복 후 강성비 등을 변수로 하여 연구를 수행하였다. 제안된 방법에 따라 설계된 점성 감쇠기를 설치한 예제 구조물의 시간이력 해석에 의한 최대 응답은 설계의 초기단계에서 사용한 목표변위와 잘 일치하였다.

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Nonlinear Static Aeroelastic Analysis of a High-Aspect-Ratio Wing with Large Deflection Effects (큰 가로세로비를 가지는 날개의 대변형 효과를 고려한 비선형 정적 공탄성 해석)

  • Yu, Jae-Han;Lee, In
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.34 no.3
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    • pp.31-36
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    • 2006
  • In this study, nonlinear static aeroelastic analysis system for a high-aspect-ratio wing are developed using the transonic small disturbance (TSD) and large deflection beam theory and validated. For the coupling between fluid and structure, the transformation of displacement from the structural mesh to aerodynamic one is performed by the shape function of the beam finite element and the inverse transformation of force by work equivalent load concept. Also, for the static aeroelastic analysis of the wing the use of TSD aerodynamics are justified. The validation of the system includes one of the efficient transformation methods of force and displacement.

Improved Modal Pushover Analysis of Multi-span Continuous Bridge Structures (다경간 연속 교량 구조물의 지진응답 평가를 위한 개선된 모드별 비탄성 정적 해석법에 관한 연구)

  • Kwak, Hyo-Gyoung;Hong, Seong Jin;Kim, Young Sang
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.26 no.3A
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    • pp.497-512
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    • 2006
  • In this paper, a simple but effective analysis procedure to estimate seismic capacities of multi-span continuous bridge structures is proposed on the basis of modal pushover analysis considering all the dynamic modes of structure. Unlike previous studies, the proposed method eliminates the coupling effects induced from the direct application of modal decomposition by introducing an identical stiffness ratio and an approximate elastic deformed shape. Moreover, in addition to these two introductions, the use of an appropriate distributed load {P} makes it possible to predict the dynamic responses for all kinds of bridge structures through a simpler analysis procedure. Finally, in order to establish the validity and applicability of the proposed method, correlation studies between rigorous nonlinear time history analysis and the proposed method are conducted for multi-span continuous bridges.