• Title/Summary/Keyword: 선형정적해석

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Local Nonlinear Static Analysis via Static Condensation (강성응축기법을 이용한 국부 비선형 정적 해석)

  • Shin, Han-Seop;Oh, Min-Han;Boo, Seung-Hwan
    • Journal of the Korean Society of Marine Environment & Safety
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    • v.27 no.1
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    • pp.193-200
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    • 2021
  • In this study, an analysis technique using static condensation is proposed for an efficient local nonlinear static analysis. The static condensation method is a model reduction method based on the degrees of freedom, and the analysis model is divided into a target part and a condensed part to be omitted. In this study, the nonlinear and linear parts were designated to the target and the omitted parts, respectively, and both the stiffness matrix and load vector corresponding to the linear part were condensed into the nonlinear part. After model condensation, the reduced model comprising the stiffness matrix and the load vector for the nonlinear part is constructed, and only this reduced model was updated through the Newton-Raphson iteration for an efficient nonlinear analysis. Finally, the efficiency and reliability of the proposed analysis technique were presented by applying it to various numerical examples.

Application of Energy Dissipation Capacity to Earthquake Design (내진 설계를 위한 에너지 소산량 산정법의 활용)

  • 임혜정;박홍근;엄태성
    • Journal of the Earthquake Engineering Society of Korea
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    • v.7 no.6
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    • pp.109-117
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    • 2003
  • Traditional nonlinear static and dynamic analyses do not accurately estimate the energy dissipation capacity of reinforced concrete structure. Recently, simple equations which can accurately calculate the energy dissipation capacity of flexure-dominated RC members, were developed in the companion study. In the present study, nonlinear static and dynamic analytical methods improved using the energy-evaluation method were developed. For nonlinear static analysis, the Capacity Spectrum Method was improved by using the energy-spectrum curve newly developed. For nonlinear dynamic analysis, a simplified energy-based cyclic model of reinforced concrete member was developed. Unlike the existing cyclic models which are the stiffness-based models, the proposed cyclic model can accurately estimate the energy dissipating during complete load-cycles. The procedure of the proposed methods was established and the computer program incorporating the analytical method was developed. The proposed analytical methods can estimate accurately the energy dissipation capacity varying with the design parameters such as shape of cross-section, reinforcement ratio and arrangement, and can address the effect of the energy dissipation capacity on the structural performance under earthquake load.

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.

Propose of Capacity Spectrum Method by Nonlinear Earthquake Response Analysis (질점계 비선형 지진응답해석에 의한 구조물의 역량스펙트럼 제안)

  • You, Jin-Sun;Yang, Won-Jik;Yi, Waon-Ho;Kim, Hyoung-Joon
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.27 no.6
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    • pp.501-508
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    • 2014
  • In this paper, a method on deducing the capacity spectrum based on nonlinear earthquake response analysis will be introduced. Damage assessment of general building draws the capacity spectrum through the Push-over analysis and the intersection point of capacity spectrum and demand spectrum is seen as performance point. Push-over analysis is the way to perform static analysis by using the equivalent static load changed from the effect of earthquake and predict the behavior of structures by earthquake. But, this method can not be taken into account in the effects of higher mode and the dynamic characteristic. Therefore, in order to calculate the capacity spectrum under dynamic properties of building. A capacity spectrum from going ahead with the nonlinear earthquake response analysis is suggested.

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.

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.

Nonlinear Static Analysis of Shear Wall Sub-assemblages Based on the Uniaxial Spring Model (선형 스프링모델을 이용한 전단벽식 부분구조의 비선형 정적해석)

  • Kim, Kyung-Min;Oh, Sang-Hoon;Lee, Sang-Ho;Lee, Han-Seon
    • Journal of the Earthquake Engineering Society of Korea
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    • v.16 no.2
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    • pp.15-24
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    • 2012
  • Domestic reinforced concrete (RC) apartments have a unique structural system that consists of shear walls and rink members of slabs and lintels. In this study, the nonlinear static analysis of two RC shear wall sub-assemblages, with and without lintels, was conducted using the uniaxial spring model to develop a method for accurately predicting the seismic behavior of domestic RC apartments. In the case of the specimen without lintels, the analytical result successfully represented a simulation of the nonlinear behavior of the specimen in accordance with the test result. On the other hand, in the case of the specimen with lintels, the analysis resulted in underestimating the nonlinear behavior of the specimen compared to the test result, because the coupling effect could not be predicted from the earlier loading cycle.

Earthquake Response Analysis of Bridges Using Fiber Element Method (섬유요소를 이용한 교량의 비선형 지진응답해석)

  • Byun, Soon-Joo;Im, Jung-Soon
    • Journal of the Korean Society of Hazard Mitigation
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    • v.6 no.3 s.22
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    • pp.29-35
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    • 2006
  • Fiber element method in earthquake response analysis of bridges is used to represents a realistic flexural deformation according to nonlinear behavior of beam-column section. Nonlinear pseudo-static analysis of two column bent using fiber element is accomplished and failure mechanism of the plastic hinge region is studied. Load-displacement curve obtained by nonlinear pseudo-static analysis can be applicable to earthquake response analysis by capacity spectrum method. The nonlinear time history analysis of a full bridge model using fiber element experienced by the ground motion corresponding to the target response spectrum is accomplished. The result of time history analysis is similar to that of capacity spectrum method.

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.

Development of Stiffness Estimation Algorithm for Nonlinear Static Analysis of Bilinear Material Model (이선형 재료모델의 비선형 정적해석을 위한 강성추정 알고리즘 개발)

  • Jung, Sung-Jin;Park, Se-Hee
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.17 no.2
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    • pp.620-626
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    • 2016
  • Estimating the nonlinear seismic response of structure in earthquake engineering is important. Nonlinear static analysis is a typical method, and a variety of methods and techniques for estimating the stiffness of structural system at a certain analysis stage have been introduced and used in numerical structural analysis. On the other hand, such methods have many difficulties in practical usage because they use time-consuming iterative methods or simplified algorithms for calculating the structural stiffness at specific points in the time of nonlinear static analysis. For this reason, this study suggests an accurate and effective method for estimating the stiffness of a structure in nonlinear static analysis. For this goal, existing theories of an incremental step-by-step solution was investigated first. Subsequently, an algorithm available for calculating the precise stiffness of a structural system, each element of which has a bilinear material model, was developed based on the investigated methods. Finally, a computer program, sNs, was developed with the algorithm used.