• Title/Summary/Keyword: Newmark

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Time-History Analysis on Structure Dynamic Response for the SDOF System of Ground Vibration by the Newmark $\beta$ method (Newmark $\beta$ 방법에 의한 지반진동의 단자유도계 구조물 동적응답 시간이력 해석)

  • Kim, Jong-In;Kang, Seong-Seung
    • Tunnel and Underground Space
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    • v.20 no.4
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    • pp.292-298
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    • 2010
  • The purpose of this study is to evaluate an effect of ground vibration caused by blasting on the concrete brick structure. For the purpose, dynamic response time-history of the structure assumed single degree of freedom (SDOF) system and vibration time-history directly measured from the structure were examined, using Newmark $\beta$ method based on data measured at ground. The time-history was interpreted from the measured data of ground and structure in single hole blasting. Vibration magnitude between ground vibration and structure in single hole blasting and 20 ms interval blasting was about three times and was shown larger vibration on the structure. By time-history analysis of structure dynamic response, the value was almost the same one with the data measured from the structure. It indicates that the vibration characteristics of structures may be predicted on the basis of the ground vibration data measured from the sub-ground of structure.

Time delay study for semi-active control of coupled adjacent structures using MR damper

  • Katebi, Javad;Zadeh, Samira Mohammady
    • Structural Engineering and Mechanics
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    • v.58 no.6
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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.

Dynamic Formulation Using Finite Element and Its Analysis for Flexible Beam (유한요소를 이용한 유연보의 동역학적 정식화 및 해석)

  • Yun Seong-Ho;Eom Ki-Sang
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.18 no.4 s.70
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    • pp.385-393
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    • 2005
  • This paper established the dynamic model of a flexible Timoshenko beam capable of geometrical nonlinearities subject to large overall motions by using the finite element method. Equations of motion are derived by using Hamilton principle and are formulated in terms of finite elements in which the nonlinear constraint equations are adjoined to the system using Lagrange multipliers. The Newmark direct integration method and the Newton-Raphson iteration are employed here for the numerical study which is to demonstrate the efficiency of the proposed formulation.

Maximum Control Force of Velocity-dependent Damping Devices Using Response Estimation Models (응답예측모델을 이용한 속도의존형 감쇠장치의 최대제어력 산정)

  • 이상현;민경원
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.14 no.6
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    • pp.503-511
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    • 2004
  • In this study, for estimating responses of a controlled structure and determining the maximum control force of velocity-dependent damping devices, three estimation models such as Fourier envelope convex model, probability model, and Newmark design spectrum are used. For this purpose, a procedure is proposed for estimating actual velocity using pseudo-velocity and this procedure considers the effects of damping ratio increased by the damping device. Time history results indicate that actual velocity should be used for estimating accurate maximum control force of damping device and Newmark design spectrum modified by the proposed equation gives the best estimation results for over all period structures.

Development of Modeling for Dynamic Response of EDF System (EDF 시스템의 동적 특성 연구를 위한 모델링 개발)

  • Han, Kyu Seung;Park, Sun Kyu;Lee, In Won
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.5 no.1
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    • pp.218-227
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    • 2001
  • The purpose of this study was to estimate that the relations of weathering speed and shear strength of granite soil by tracing the weathering depth of granite soil from the very moment of its cutting. The results obtained this follows : This paper is about seismic performance of the EDF(Electricite De France) system, that is among various base isolator. A rational modeling of EDF system has been presented that used Nllink element. We get theoretical solutions of equation of motion of the system and compared with numerical solutions using a finite element program. The unification modeling is made by comparing with behavior using Newmark-${\beta}$ method when input earthquake acceleration data. Thus, a verified modeling will apply bridge structures or multi-degree of-freedom systems.

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Shock Response Analysis of Rotor-Bearing System using the State-Space Newmark Method (상태공간 Newmark 기법을 이용한 로터-베어링 시스템의 충격응답 해석)

  • Lee, An-Sung;Kim, Byung-Ok;Kim, Young-Cheol;Kim, Yeong-Chun
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2004.11a
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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.

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Verification of the Seismic Performance Evaluation Methods for Enclosure Dam (기존 방조제의 내진성능평가 방법 검증)

  • Kim, Kwangjoon;Kim, Hyunguk;Kim, Sung-Ryul;Lee, Jinsun
    • Journal of the Korean Geotechnical Society
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    • v.38 no.5
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    • pp.19-33
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    • 2022
  • Newmark's sliding block analysis is the most commonly used method for predicting earthquake-induced permanent displacement of embankment slopes. Additionally, it yields the amount of slip circle sliding using the limit equilibrium theory. Thus, permanent displacement does not occur until the seismic load exceeds the yield acceleration, which induces sliding of the slip circle. The evolution of Newmark's sliding block analysis has been made by introducing the numerical seismic response analysis results since it was introduced. This study compares seismic performance evaluation results for the example enclosure dam section with the analysis methods. As a result, earthquake-induced permanent displacement using Newmark's sliding block analysis did not occur for the enclosure dam, indicating a high safety factor. However, nonlinear response history analysis gave reasonable results.

Hydroelastic Responses of a Very Large Floating Structure in Time Domain (시간영역에서 초대형 부유식 해양구조물에 대한 유탄성 응답 해석)

  • 이호영;신현경
    • Journal of Ocean Engineering and Technology
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    • v.14 no.3
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    • pp.29-34
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    • 2000
  • This paper describes transient responses of a very floating structure subjected to dynamic load induced by waves. A time domain method is applied to the hydroelastic problems for this purpose. The method is based on source-dipole and FEM scheme and on Newmark $\beta$ method to pursuit time step process taking advantage of memory effect. The present procedure is carried out to analyze hydroelastic responses in regular waves and impact responses due to dropping aircraft.

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Stability and accuracy for the trapezoidal rule of the Newmark time integration method with variable time step sizes (가변시간간격을 갖는 Newmark 시간적분법의 사다리꼴법칙에 대한 안정성과 정확도)

  • Noh, Yong-Su;Chung, Jin-Tae;Bae, Dae-Seong
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.21 no.10
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    • pp.1712-1717
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    • 1997
  • Stability and accuracy for the trapezoidal rule of the Newmark time integration method are analyzed when variable time step sizes are adopted. A new analytic approach to stability and accuracy analysis is also proposed for time integration methods with variable time step sizes. The trapezoidal rule with variable time step sizes has the "actual" unconditional stability which is the same as that of the method with constant time step sizes. However, the method with variable time step sizes is first-order accurate while the method with constant time step sizes is second-order accurate. accurate.

Finite Element Analysis in Finite Length Bar under Constant Amplitude Loading (일정진폭하중을 받는 유한 길이 봉의 유한요소해석)

  • Hwang, Eun-Ha
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.23 no.5
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    • pp.525-533
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    • 2010
  • Direct time integration method such as Newmark method is numerically performed under the assumption that continuous load function such as constant amplitude load can be treated as a discontinuous load fuction. It is due that the load can be treated as a constant value at the given time period regardless of variation of load at the time increment interval. It means the numerical results should be accompanied by the error due to approximation of load fuction. In contrast, the load function is calculated by convolution integral for the given time interval at finite element equation based on Gurtin's variation equation. Therefore. precise numerical results can be obtained by Gurtin's method because of convolution integral for the continuous load fuction curve even at the variation of load function in the given time interval. In this study, we prove that Gurtin's method can be more suitable than Newmark method in the problem of constant amplitude loading, using the numerical results for the free end of the one-dimensional rod. This study also shows that Gurtin's method is more effective in constant amplitude loading than in constant loading. The accuracy and the validity are verified by comparison between the results of in-house FORTRAN code and ADINA, a commercial software supporting Newmark method.