• 제목/요약/키워드: method of moment

검색결과 3,060건 처리시간 0.031초

Mechanics based force-deformation curve of steel beam to column moment joints

  • Kasar, Arnav A.;Bharti, S.D.;Shrimali, M.K.;Goswami, Rupen
    • Steel and Composite Structures
    • /
    • 제25권1호
    • /
    • pp.19-34
    • /
    • 2017
  • The widespread damage to steel Moment Resisting Frames (MRFs) in past major earthquakes have underscored the need to understand the nonlinear inelastic behaviour of such systems. To assess the seismic performance of steel MRF, it is essential to model the nonlinear force-deformation behaviour of beam to column joints. To determine the extent of inelasticity in a beam to column joint, nonlinear finite element analysis is generally carried out, which is computationally involved and demanding. In order to obviate the need of such elaborate analyses, a simplistic method to predict the force-deformation behaviour is required. In this study, a simple, mechanics driven, hand calculation method is proposed to obtain the forcedeformation behaviour of strong axis beam to column moment joints. The force-deformation behaviour for twenty-five interior and exterior beam to column joints, having column to beam strength ratios ranging from 1.2 to 10.99 and 2.4 to 22, respectively, have been obtained. The force-deformation behaviour predicted using the proposed method is compared with the results of finite element analyses. The results show that the proposed method predicts the force-deformation behaviour fairly accurately, with much lesser computational effort. Further the proposed method has been used to conduct Nonlinear Dynamic Time History Analyses of two benchmark frames; close correspondence of results obtained with published results establishes the usefulness and computational accuracy of the method.

4차 통계량을 이용한 Matrix Pencil Method (Matrix Pencil Method Using Fourth-order Statistic)

  • 장우진;왕혁소;주위위;고진환
    • 한국통신학회논문지
    • /
    • 제31권6C호
    • /
    • pp.629-636
    • /
    • 2006
  • Array 신호처리에서 복소 지수함수의 합으로 구성된 신호의 파라미터를 추정하는데 고차 통계를 이용할 수 있다. 본 논문에서는 기존의 MPM(matrix pencil method)보다 효과적으로 DOA를 판별하기 위해 MPM에 4차 cumulant와 moment 통계량을 적용하였다. 4차 cumulant 통계량은 선형 배열안테나에 입사하는 신호에 포함된 Gaussian 잡음을 효과적으로 감소시킬 수 있다. Gaussian 잡음이 존재하는 환경에서 기존의 방법과 4차 통계량을 이용한 방법을 시뮬레이션 함으로써 SNR과 DOA 분해능에 대하여 성능을 분석하였다. 결과로써 4차 통계량을 이용한 MPM이 기존의 MPM보다 우수함을 보였으며, 또한 4차 moment보다는 4차 cumulant 적용이 더 우수함을 증명하였다.

Distortional buckling calculation method of steel-concrete composite box beam in negative moment area

  • Zhou, Wangbao;Li, Shujin;Jiang, Lizhong;Huang, Zhi
    • Steel and Composite Structures
    • /
    • 제19권5호
    • /
    • pp.1203-1219
    • /
    • 2015
  • 'Distortional buckling' is one of the predominant buckling types that may occur in a steel-concrete composite box beam (SCCBB) under a negative moment. The key factors, which affect the buckling modes, are the torsional and lateral restraints of the bottom plate of a SCCBB. Therefore, this article investigates the equivalent lateral and torsional restraint rigidity of the bottom plate of a SCCBB under a negative moment; the results of which show a linear coupling relationship between the applied forces and the lateral and/or torsional restraint stiffness, which are not depended on the cross-sectional properties of a SCCBB completely. The mathematical formulas for calculating the lateral and torsional restraint rigidity of the bottom plate can be used to estimate: (1) the critical distortional buckling stress of SCCBBs under a negative moment; and (2) the critical distortional moment of SCCBBs. This article develops an improved calculation method for SCCBBs on an elastic foundation, which takes into account the coupling effect between the applied forces and the lateral and/or torsional restraint rigidity of the bottom plate. This article analyzes the accuracy of the following calculation methods by using 24 examples of SCCBBs: (1) the conventional energy method; (2) the improved calculation method, as it has been derived in this article; and (3) the ANSYS finite element method. The results verify that the improved calculation method, as it has been proved in this article, is more accurate and reliable than that of the current energy method, which has been noted in the references.

철근 콘크리트 장주 설계를 위한 P-△ 해석 (P-△ Analysis for Design of Reinforced Concrete Slender Columns)

  • 이재훈
    • 대한토목학회논문집
    • /
    • 제12권4_1호
    • /
    • pp.87-96
    • /
    • 1992
  • 철근 콘크리트 장주의 기하학적 비선형성을 고려한 최종 기둥모멘트는 일반적으로 모멘트확대법에 의하여 설계에 이용되고 있으나 더 정확한 해석법으로 P-${\Delta}$ 방법 등의 2차 구조해석이 추천되고 있다. 2차 구조해석의 정확도는 해석에 이용되는 기둥과 보 강성의 합리적 산정이 가장 중요한 요소이므로 철근 콘크리트 장주설계를 위한 보다 정확한 P-${\Delta}$ 해석의 지침으로, 이론적으로 구한 실제에 가까운 모멘트-곡률-축하중 상관관계로부터 등가(等價) 강성(剛性)을 산정하는 합리적 방법을 제시하고, 제안된 해석 방법을 실험결과와 비교함으로써 기존의 MacGregor-Hage의 2차 구조해석법, Furlong의 2차 구조해석법, 시방서의 모멘트확대법 등 3가지 해석 방법과 정확도를 비교 검토한다.

  • PDF

A new procedure for load-shortening and -elongation data for progressive collapse method

  • Downes, Jonathan;Tayyar, Gokhan Tansel;Kvan, Illia;Choung, Joonmo
    • International Journal of Naval Architecture and Ocean Engineering
    • /
    • 제9권6호
    • /
    • pp.705-719
    • /
    • 2017
  • Progressive Collapse Method (PCM) has been broadly applied to predict moment-carrying capacity of a hull girder, however accuracy of PCM has not been much studied. Accuracy of PCM is known to be dependent on how Load-Shortening and -Elongation (LSE) curve of a structural units are well predicted. This paper presents a new procedure to determine LSE datum based on box girder Finite Element Analyses (FEAs) instead of using finite element model of stiffened panels. To verify reliability of FEA results, the simple box girder collapse test results are compared with FEA results of same box girders. It reveals one frame-based box girder model is sufficiently accurate in terms of ultimate strengths of the box girders. After extracting LSE data from the box girders, PCM-based moment-carrying capacities are compared with those from FEAs of the box girders. PCM results are found to be equivalent to FEAs in terms of moment-carrying capacity if accurate LSE data are secured. The new procedure is applied to well-known 1/3 scaled frigate full section. Very excellent moment-carrying capacity of frigate hull section is obtained from PCM with LSE data from box girder FEAs.

조정방정식법(調整方程式法)(혹은 이완방정식법(弛緩方程式法))과 연속량(連續梁)에의 응용(應用) (Adjusting Equation Method (or Relaxation Equation Method) and its Application to the Influence Line Analysis of Continuous Beams)

  • 조현영;김미옥
    • 대한토목학회논문집
    • /
    • 제14권3호
    • /
    • pp.487-493
    • /
    • 1994
  • 강절(剛節) 뼈대 구조물(構造物)의 해석(解析)에 적용하는 모멘트 분배법은 총조정(總調整) 모멘트라는 개념을 이용하여 연립방정식(聯立方程式)으로 간단히 표현된다. 이 방정식(方程式)은 간단한 손계산기(hand calculator)로 직접 작성되고 쉽게 풀어질 수 있다. 이 방정식(조정방정식(調整方程式))은 무한번의 분배 과정을 완료한 상태를 나타내며 그 해는 소거법(消去法)으로 풀 수도 있으나 일종의 이완방정식(弛緩方程式)으로써 되풀이 산법을 사용하면 간단히 풀어진다. 이 방법이 연속량(連續梁)의 휨 모멘트 계산이나 영향선(影響線) 해석(解析)에 어떻게 이용될 수 있는 지를 두개의 예제로서 설명하였다. 특히 영향선의 해법은 전산에 편리하도록 행렬(行列)로 표현하였다.

  • PDF

한반도 발생 지진의 지진원 상수 (Source parameters of earthquakes occurred in the Korean Peninsula)

  • 김성균;김병철
    • 한국지진공학회:학술대회논문집
    • /
    • 한국지진공학회 2002년도 춘계 학술발표회 논문집
    • /
    • pp.3-11
    • /
    • 2002
  • Source parameters for forty nine recent earthquakes occurred in and around Korean Peninsula are determined and the relations among them are studied. The corner frequency and seismic moment are estimated from three different methods. The spectral fitting of the source displacement spectrum with the $\omega$-square source model of Brune(1970) and Snoke(1987)'s method are applied to all events and empirical Green's function method for two events are adopted. The source parameters determined in this study show different values depending on the adopted method and on the stations of which seismograms are recorded. It is interpreted that the disagreements principally originate from insufficient consideration of source radiation pattern and attenuation and amplification according to path direction. The corner frequencies and seismic moments are averaged to exclude the directional effects and other source parameters are estimated from the mean corner frequency and seismic moment. The static stress drops estimated in this study tend to be independent of seismic moment or magnitude for events above a certain size. For earthquakes with the size less than about 3.0$\times$10$^{21}$dyne-cm(nearly same as M$_{L}$=3.7), the stress drop tends to decrease with the decreasing moment. This fact suggests a breakdown of scaling law of source parameters below the threshold magnitude. The moment magnitudes calculated from source parameters appear to be slightly larger than the Richter's local magnitudes in the range above M$_{L}$=3.5.3.5.

  • PDF

Modified inverse moment estimation: its principle and applications

  • Gui, Wenhao
    • Communications for Statistical Applications and Methods
    • /
    • 제23권6호
    • /
    • pp.479-496
    • /
    • 2016
  • In this survey, we present a modified inverse moment estimation of parameters and its applications. We use a specific model to demonstrate its principle and how to apply this method in practice. The estimation of unknown parameters is considered. A necessary and sufficient condition for the existence and uniqueness of maximum-likelihood estimates of the parameters is obtained for the classical maximum likelihood estimation. Inverse moment and modified inverse moment estimators are proposed and their properties are studied. Monte Carlo simulations are conducted to compare the performances of these estimators. As far as the biases and mean squared errors are concerned, modified inverse moment estimator works the best in all cases considered for estimating the unknown parameters. Its performance is followed by inverse moment estimator and maximum likelihood estimator, especially for small sample sizes.

응력해석을 통한 회전체의 축정렬 방법 개선에 관한 연구 (A Study on the Improvement of rotor axes arrangement method through the stress anaylsis)

  • 김경석;정현철;이시연;윤주호
    • 한국정밀공학회:학술대회논문집
    • /
    • 한국정밀공학회 1995년도 추계학술대회 논문집
    • /
    • pp.355-360
    • /
    • 1995
  • In order to align the shaft, the dialgauge method has used as a means of solution until now. The method using a dialgauge require a great deal of labour and money due to making by hand, the accurate alignmentis not up to the expectation. For aligning the shaft, all the rotor must come to accord. It means that the moment of the point of coupling must keep being "Zero". The ideal measurement method as to material on the zero is used by straingauge which can gauge the moment at any point of the shaft. Also, the dialgauge method cannot be compared with straingauge measurement method, form the viewpoint, which can gauge in short time.hort time.

  • PDF