• Structural Engineering and Mechanics
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• 제10권2호
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• pp.157-164
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• 2000

This paper discusses the error propagation characteristics of the Newmark explicit method, modified Newmark explicit method and ${\alpha}$-function dissipative explicit method in pseudodynamic tests. The Newmark explicit method is non-dissipative while the ${\alpha}$-function dissipative explicit method and the modified Newmark explicit method are dissipative and can eliminate the spurious participation of high frequency responses. In addition, error propagation analysis shows that the modified Newmark explicit method and the ${\alpha}$-function dissipative explicit method possess much better error propagation properties when compared to the Newmark explicit method. The major disadvantages of the modified Newmark explicit method are the positive lower stability limit and undesired numerical dissipation. Thus, the ${\alpha}$-function dissipative explicit method might be the most appropriate explicit pseudodynamic algorithm.

• 한국지반신소재학회논문집
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• 제8권1호
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• pp.1-10
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• 2009

지진을 수반한 산사태는 지난 십년동안 수만명의 사상자와 수십억불의 재난피해를 초래해 왔다. 정역학적으로 안정된 경사로 표현되는 잠재적 지진 위험요소를 결정하는 것은 지진이 발생하는 동안 중요한 움직임을 평가하는데 필수적이다. 동적 하중에서의 산사태 움직임을 추정하기 위한 Newmark 방법이 소개되고 두 사례에 적용되었다. 그리고 에너지에 근거한 간략법이 Newmark의 변위를 추정하기 위하여 개발되었다.

• 한국소음진동공학회논문집
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• 제14권5호
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• pp.424-431
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• 2004

An implicit direct-time integration method for obtaining transient responses of general dynamic systems is described. The conventional Newmark method cannot be directly applied to state-space first-order differential equations, which contain no explicit acceleration terms. The method proposed here is the state-space Newmark method that incorporates the average velocity concept, and can be applied to an analysis of general dynamic systems that are expressed by state-space first-order differential equations. It is also readily coded into a program. Stability and accuracy analyses indicate that the method is numerically unconditionally stable like the conventional Newmark method, and has a period error of 2nd-order accuracy for small damping and 4th-order for large damping and an amplitude error of 2nd-order, regardless of damping. In addition, its utility and validity are confirmed by two application examples. The results suggest that the proposed state-space Newmark method based on average velocity be generally applied to the analysis of transient responses of general dynamic systems with a high degree of reliability with respect to stability and accuracy.

• 한국소음진동공학회:학술대회논문집
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• 한국소음진동공학회 2003년도 추계학술대회논문집
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• pp.465-470
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• 2003

In this study, the state-space Newmark method based on average velocity is presented to analyse the transient dynamic response for general dynamic system. The conventional Newmark method based on average acceleration cannot he directly to the first-order state-space differential equations introducing the state-space vector. To overcome this problem, the time-step integration algorithm, based on average velocity concept, suitable for the first-order state-space differential equations is proposed In results, the proposed method has %he numerical stability and order of accuracy, which is proved analytically, equal to those of the conventional Newmark method based on average acceleration. Also, the formulation for numerical solution is very simple and the calculation time Is nearly equal to that of the conventional Newmark method based on average acceleration in spite of an increase of two times over matrix size. This method will be look forward to applying the general dynamic system to calculate the transient dynamic response.

• 한국지진공학회논문집
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• 제18권4호
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• pp.161-170
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• 2014

Newmark-type deformation analysis has rarely been done in Korea due to the popularity of simple pseudo-static limit equilibrium analysis and detailed time-history FE/FD dynamic analysis. However, the Korean seismic dam design code updated in 2011 prescribes Newmark-type deformation analysis as a major dynamic analysis method for the seismic evaluation of fill dams. In addition, a design PGA for dynamic analysis is significantly increased in the code. This paper aims to study the seismic evaluation of four existing large fill dams through advanced FEM/Newmark-type deformation analyses for the artificial earthquake time histories with the design PGA of 0.22g. Dynamic soil properties obtained from in-situ geo-physical surveys are applied as input parameters. For the FEM/Newmark analyses, sensitivity analyses are performed to study the effects of input PGA and $G_{max}$ of shell zone on the Newmark deformation. As a result, in terms of deformation, four fill dams are proved to be reasonably safe under the PGA of 0.22g with yield coefficients of 0.136 to 0.187, which are highly resistant for extreme events. Sensitivity analysis as a function of PGA shows that $PGA_{30cm}$ (a limiting PGA to cause the 30 cm of Newmark permanent displacement on the critical slip surface) is a good indicator for seismic safety check. CFRD shows a higher seismic resistance than ECRD. Another sensitivity analysis shows that $G_{max}$ per depth does not significantly affect the site response characteristics, however lower $G_{max}$ profile causes larger Newmark deformation. Through this study, it is proved that the amplification of ground motion within the sliding mass and the location of critical slip surface are the dominant factors governing permanent displacements.

• Structural Engineering and Mechanics
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• 제58권6호
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• pp.1127-1143
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• 2016

The pounding phenomenon in adjacent structures happens in severing earthquakes that can cause great damages. Connecting neighboring structures with active and semi-active control devices is an effective method to avoid mutual colliding between neighboring buildings. One of the most important issues in control systems is applying online control force. There will be a time delay if the prose of producing control force does not perform on time. This paper proposed a time-delay compensation method in coupled structures control, with semi-active Magnetorheological (MR) damper. This method based on Newmark's integration is adopted to mitigate the time-delay effect. In this study, Lyapunov's direct approach is employed to compute demanded voltage for MR dampers. Using Lyapunov's direct algorithm guarantees the system stability to design a controller based on feedback. Because of the strong nonlinearity of MR dampers, the equation of motion of coupled structures becomes an involved equation, and it is impossible to solve it with the common time step methods. In present paper modified Newmark-Beta integration based on the instantaneous optimal control algorithm, used to solve the involved equation. In this method, the response of a coupled system estimated base on optimal control force. Two MDOF structures with different degrees of freedom are finally considered as a numeric example. The numerical results show, the Newmark compensation is an efficient method to decrease the negative effect of time delay in coupled systems; furthermore, instantaneous optimal control algorithm can estimate the response of structures suitable.

• 한국지반공학회논문집
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• 제20권8호
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• pp.123-133
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• 2004

지진시 중력식 안벽에 작용하는 동적작용력의 크기는 배면지반내에 발생하는 과잉간극수압의 크기에 따라 민감하게 변화한다. 본 연구에서는 지진시 발생 과잉간극수압에 따른 벽체 작용력의 변화를 고려하여 중력식 안벽의 지진변위를 산정할 수 있는 새로운 변위모델을 제안하였다. 이 모델은 기본적으로 Newmark 강성블럭 해석개념을 이용하며, 벽체 작용력의 크기 변화를 항복가속도 크기 변화와 연계하여 산정한다. 개발된 모델은 변수연구와 1g 진동대 실험을 수행하여 검증하였는데, 변수연구를 통하여 본 모델에 사용되는 주요 변수들이 안벽의 변위발생에 미치는 영향을 분석하였고, 1g 진동대 실험에서 얻어진 모형벽체의 측정변위와 본 모델의 예측변위를 비교하여 그 적용성을 검증하였다.

• 한국지반공학회논문집
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• 제23권12호
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• pp.117-124
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• 2007

지진으로 인해 사면에 발생한 영구적 변형 계산시 고려된 공간평균과 유연도의 영향을 조사하였다. 현재 변위계산에는 Newmark이 제안한 강체블럭해석기법이 이 기법의 효율적인 계산능력으로 인해 광범하게 사용되고 있다. 그러나 이 해석기법은 지진응답해석과 변위해석을 별도로 수행하는 소위 분리해석법을 채택하고 있다. 당초의 Newmark 해석기법은 활동토사를 강성체로 가정했으며 이로 인하여 비보수적 결과가 도출될 수 있다는 비판을 받아왔다. 본 논문은 Newmark-형식의 해석에서 강성체 가정의 영향을 검토하였다. 활동토사에 작용하는 지진하중의 전체 효과를 공간평균기법을 사용하여 평가하였으며 그 결과를 주파수 영역에서 분석하였다. 해석결과로부터 활동토사의 유연도 수준을 결정하는 경우 사용할 수 있는 단순한 지표를 제시하였다.

• 터널과지하공간
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• 제20권4호
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• pp.292-298
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• 2010

본 연구는 발파진동에 의한 지반진동이 구조물에 미치는 영향을 평가하기 위함이다. 이를 위하여 지반에서 측정한 자료를 토대로 Newmark $\beta$ 방법을 이용하여 단자유도계(SDOF)를 가정한 구조물 동적응답 시간이력과 구조물에서 직접 측정한 진동 시간이력을 비교 하였다. 지반과 구조물의 측정 자료로부터 시간이력을 해석한 결과, 단일공 발파와 20 ms 단차 발파에서 지반진동과 구조물 사이의 진동 크기는 약 3배의 차이로 구조물에서 더 큰 진동을 보이는 것으로 나타났다. 구조물 동적응답 시간이력을 해석한 결과, 그 값은 구조물에서 직접 측정한 자료와 유사한 최대 진동속도를 보였으며, 이것은 구조물 하부 지반에서 측정된 지반진동 측정자료에 근거하여 구조물의 진동특성을 예측할 수 있음을 지시한다.

• 한국소음진동공학회:학술대회논문집
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• 한국소음진동공학회 2004년도 추계학술대회논문집
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• pp.242-247
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• 2004

In this study was proposed a transient response analysis technique of a rotor system, applying the generalized FE modeling method of a rotor-bearing system considering a base-transferred shock force and together the state-space Newmark method of direct time integration scheme based on the average velocity concept. Experiments were performed to a test rig of a mock-up rotor-bearing system with series of half-sine shock waves imposed by an electromagnetic shaker, and quantitative error analyses between analytical and experimental results were carried out. The transient reponses of the rotor were sensitive to duration times and shape-qualities of the shock waves, and overally the analytical results agreed quite well with the experimental ones. Particularly, in cases that the frequencies, $1/(2{\times}duration\;time)$, of the shock waves were close to the critical speed of the rotor-bearing system, resonances occurred and the transient responses of the rotor were amplified.