• Title/Summary/Keyword: 등가정적해석

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Definition and Application of Equivalent Load for Stiffness (강성등가하중의 정의와 응용)

  • Kim Chee-Kyeong
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.19 no.3 s.73
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    • pp.303-312
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    • 2006
  • This paper presents the equivalent nodal load for the element stiffness which represents the influence of the stiffness change such as the addition of elements, the deletion of elements, and/or the partial change of element stiffness. The reanalysis of structure using the equivalent load improves the efficiency very much because the inverse of the structural stiffness matrix, which needs a large amount of computation to calculate, is reused in the reanalysis. In this paper, the concept of the equivalent load for the element stiffness is described and some numerical examples are provided to verify it.

The Study on Seismic Analysis Methods for Underground Structures (지중구조물의 내진해석방법에 관한 연구)

  • Jeong, Gwang-Mo;Bang, Myeong-Seok
    • Proceedings of the Safety Management and Science Conference
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    • 2011.11a
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    • pp.75-84
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    • 2011
  • In this paper various numerical analyses are carried out according to behavior characteristics of structures and types of seismic design methods as a study on the seismic analysis for underground structures. Equivalent Static Force Procedure and Response Displacement Method commonly used in practiral design are adopted and Time History Method regarded as the most accurate analysis method is selected to verify the results of two practical methods above. 3-D modelling for seismic analysis of structures is introduced to consider Structure Soil Interaction and all analyses are based on Korea Structural Concrete Design Code. After numerical analyses, Equivalent Static Force Procedure and Response Displacement Method showed relatively lager values than those of Time History Method, so it is identified that above two methods are suitable for practical design purpose.

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건축물의 내진설계를 위한 구조동력학-제 1부:단자유도 구조물의 지진해석과 응답스펙트럼

  • Lee, Dong-Geun
    • 건축구조
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    • v.13 no.1
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    • pp.46-58
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    • 2006
  • 구조동력학 이론에 기초하여 내진설계 기술이 개발되었다. 그러므로 건축물의 내진설계를 근본적으로 이해하기 위해서는 구조동력학의 여러 가지 이론들을 먼저 알고 이들이 내진설계에 어떻게 적용이 되는지를 알아야 한다. 이 글은 구조기술자 여러분이 건축물의 내진설계를 이해하는데 도움이 될 수 있도록 하기 위하여 다음과 같이 3부로연재될예정이다. 제1부: 응답스펙트럼과구조물의동적해석 제2부: 등가정적해석법과반응수정계수의배경 제3부: 능력스펙트럼법에의한비탄성해석 제1부에서는 단자유도 구조물의 지진해석을 통하여 응답스펙트럼을 작성하는 원리와 이를 이용하여 간편하게 지진해석을 수행하는 방법을 소개하고 응답스펙트럼에 근거하여 설계응답스펙트럼을 작성하는 방법과 다자유도 구조물의 지진응답을 알아내기 위한 응답 스펙트럼 해석법에 관하여 소개한다. 제2부에서는 구조동력학 이론에 근거하여 등가정적해석법이 유도된 근거와 반응수정계수를 사용하게 되는 배경을 소개하여 구조기술자들이내진설계에좀더확실한이해를할수있도록할것이다. 마지막으로 제3부에서는 비탄성해석을 좀 더 쉽게 하기 위하여 사용되는 능력스펙트럼법의 배경과 이를 이용하여 건축물의 성능점을 찾는 방법과 구조물의 비탄성 지진응답을 평가하는 방법에 대하여 소개함으로써 성능에 기초한 내진설계를 위한 기초 이론을 확실히 이해할수있도록할것이다. 구조동력학에 관한 내용을 여기에 상세히 소개하자면 엄청난 분량이 될 것이므로 여기서는 이 글을 읽는 구조기술자들이 구조동력학에 관한 기초적인 내용을 이해하고 있는 것으로 가정하기로 한다. 그러므로 구조동력학에 대한 기초적 이론을 확실히 이해하고 있지 못한분들은이글을읽기전에먼저구조동력학에관한알기쉬운서적을 먼저 읽도록 추천한다.

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Scale-Up Factor for Seismic Analysis of Building Structure for Various Coordinate Systems (건축구조물의 지진해석에서 좌표축의 설정에 따른 보정계수 산정법)

  • Yu, Il-Hyang;Lee, Dong-Guen;Ko, Hyun;Kim, Tae-Ho
    • Journal of the Earthquake Engineering Society of Korea
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    • v.11 no.5
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    • pp.33-47
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    • 2007
  • In a practical engineering, the equivalent static analysis (E.S.A) and the response spectrum analysis (R.S.A) are generally used for the seismic analysis. The base shears obtained from the E.S.A are invariable no matter how the principal axes of building structures are specified on an analysis program while those from the R.S.A are variable. Accordingly, the designed member size may be changed by how an engineer specify the principal axes of a structure when the R.S.A is used. Moreover, the base shears in the normal direction to the excitation axis are sometimes produced even when an engineer performs a response spectrum analysis in only one direction. This tendency makes the base shear, which is used to calculate the scale-up factor, relatively small. Therefore the scale-up factor becomes larger and it results in uneconomical member sizes. To overcome these disadvantages of the R.S.A, an alternative has been proposed in this study. Three types of example structures were adapted in this study, i.e. bi-direction symmetric structure, one-direction antisymmetric structure and bi-direction antisymmetric structure. The seismic analyses were performed by rotating the principal axes of the example structures with respect to the global coordinate system. The design member forces calculated with the scale-up factor used in the practice were compared with those obtained by using the scale-up factor proposed in this study. It can be seen from this study that the proposed method for the scale-up factor can provide reliable and economical results regardless of the orientation of the principal axes of the structures.

The Effect of Higher Vibration Modes on the Design Seismic Load (고차진동모드의 영향을 고려한 층지진하중)

  • 이동근;신용우
    • Computational Structural Engineering
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    • v.3 no.4
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    • pp.123-132
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    • 1990
  • In current practice of earthquake resistant design the equivalent lateral force procedure is widely used because of its simplicity and convenience. But the equivalent lateral force procedure is derived based on the assumptions that the dynamic behavior of the structure is governed primarily by the fundamental vibration mode and the effect of higher modes is included in an approximate manner. Therefore the prediction of dynamic responses of structures using the equivalent lateral force procedure is not reliable when the effect of higher vibration modes on the dynamic behavior is significant. In this study, design seismic load which can reflect the effect of higher vibration modes is proposed from the point of view of proper assessment of story shears which have the major influence on the design moment of beams and columns. To evaluate the effect of higher modes, differences between the story force based on the equivalent lateral force procedure specified in current earthquake resistance building code and the one based on modal analysis using design spectrum analysis are examined. From these results an improved design seismic load for the equivalent lateral force procedure which can reflect the effect of higher vibration modes are proposed.

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Equivalent Model Dynamic Analysis of Main Wing Assembly for Optionally Piloted Personal Air Vehicle (자율비행 개인항공기용 주익 조립체 등가모델 동특성 해석)

  • Kim, Hyun-gi;Kim, Sung Jun
    • Journal of Aerospace System Engineering
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    • v.15 no.1
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    • pp.72-79
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    • 2021
  • In this study, as part of the development of an autonomous flying personal aircraft, an equivalent model of the main wing assembly of an Optionally Piloted Personal Air Vehicle (OPPAV) was developed. Reliability of the developed equivalent model was verified by eigenvalue analysis. The main wing assembly consisted of a main wing, an inboard pod, and an outboard pod. First, for developing an equivalent model of each component, components to produce the equivalent model were divided into several sections. Nodes were then created on the axis of the equivalent model at both ends of each section. In addition, static analysis with unit force and unit moment was performed to calculate the deformation or the amount of rotation at the node to be used in the equivalent model. Equivalent axial, bending, and torsional stiffness of each section were calculated by applying the beam theory. Once the equivalent stiffness of each section was calculated, information of a mass and moment of inertia for each section was entered by creating a lumped mass in the center of each section. An equivalent model was developed using beam element. Finally, the reliability of the developed equivalent model was verified by comparison with results of mode analysis of the fine model.

Estimation of Interstory Drift for Moment Resisting Reinforced Concrete Frames Using Equivalent SDOF System (등가 1자유도계를 이용한 철근콘크리트 골조건물의 층간변위 응답 산정)

  • Kang, Ho-Geun;Jun, Dae-Han
    • Journal of the Earthquake Engineering Society of Korea
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    • v.8 no.5 s.39
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    • pp.25-33
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    • 2004
  • To evaluate the seismic capacity of a multistorey building structures in performance based seismic design, it is needed to convert MDOF model into equivalent SDOF model. This paper presents predictions for interstory drift of multistorey structures using method of converting a MDOF system into an equivalent SDOF model. The principal objective of this investigation is to evaluate appropriateness of converting method through performing nonlinear time history analysis of a multistory building structures and an equivalent SDOF model. Comparing the interstory drift of multistorey structures calculated by time history analysis and those evaluated by an equivalent SDOF model, the adequacy and the validity of converting method is verified. The conclusion of this study is following; A method of converting a MDOF system into an equivalent SDOF model through the nonlinear time history response analysis is valid. Inelastic first mode shapes are expected to be more accurate than elastic first mode shapes in obtaining interstory drift of multistorey structures from equivalent SDOF model.

Structural Integrity Evaluation of Nuclear Seismic Category IIA 2" Globe Valve for Seismic Loads (지진하중을 받는 원자력 내진등급 2A 글로브 밸브의 구조 건전성 평가)

  • Chung, Chul-Sup
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.9 no.6
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    • pp.1500-1505
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    • 2008
  • To evaluate the structural integrity of the nuclear seismic category IIA bellows seal 2" globe valve under the seismic service conditions the seismic analysis was performed in accordance with ASME, section III, ND-3500, 1989 edition. The finite element computer program, ANSYS, Version 10.0, is used to perform both a mode frequency analysis and an equivalent static seismic analysis of the valve assembly. The mode frequency analysis results show the fundamental natural frequency is greater than 33 Hz and does not exist in seismic range, thus justifying the use of the static analysis. The stresses resulted from various loadings and their combinations are within the allowable limits specified in the above mentioned ASME code. The results of the seismic evaluation fully satisfied the structural acceptance criteria of the ASME code. Accordingly the structural integrity on the globe valve was proved.

The Seismic Design of Water Extinguishing Piping Systems for Equivalent Static Analysis Method (등가정적해석법에 의한 수계 파이프 시스템의 내진설계)

  • Lee, Dong-Myung
    • Fire Science and Engineering
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    • v.26 no.3
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    • pp.100-105
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    • 2012
  • In this study, seismic design in pipeline of pressurized water supply system of water extinguishing system has been carried out. This study described a generation of artificial earthquake wave compatible with seismic design spectrum, and also determined equivalent static loads to analyzed the response spectra acceleration by the simulated earthquake motion. This study constructed powerful engineering base for seismic design, and presented equivalent static analysis method for seismic design of water and gas extinguishing piping system. Also, this study readied basis that can apply seismic design and performance estimation of fire fighting system as well as pipeline of water extinguishing system from result of this research. Hereafter, if additional research by earthquake magnitude and ground kind is approached, reliance elevation, safety raising and performance based design of fire fighting system see to achieve.