• Title/Summary/Keyword: Newmark

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Highly accurate family of time integration method

  • Rezaiee-Pajand, Mohammad;Esfehani, S.A.H.;Karimi-Rad, Mahdi
    • Structural Engineering and Mechanics
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    • 제67권6호
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    • pp.603-616
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    • 2018
  • In this study, the acceleration vector in each time step is assumed to be a mth order time polynomial. By using the initial conditions, satisfying the equation of motion at both ends of the time step and minimizing the square of the residual vector, the m+3 unknown coefficients are determined. The order of accuracy for this approach is m+1, and it has a very low dispersion error. Moreover, the period error of the new technique is almost zero, and it is considerably smaller than the members of the Newmark method. The proposed scheme has an appropriate domain of stability, which is greater than that of the central difference and linear acceleration techniques. The numerical tests highlight the improved performance of the new algorithm over the fourth-order Runge-Kutta, central difference, linear and average acceleration methods.

Dynamic responses of laminated beams under a moving load in thermal environment

  • Akbas, Seref D.
    • Steel and Composite Structures
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    • 제35권6호
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    • pp.729-737
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    • 2020
  • The goal of this study is to investigate dynamic responses of laminated composite beams under a moving load with thermal effects. The governing equations of problem are derived by using the Lagrange procedure. The transverse-shear strain and rotary inertia are considered within the Timoshenko beam theory. The material properties of laminas are considered as the temperature dependent physical property. The differential equations of the problem are solved by the Ritz method. The solution step of dynamic problem, the Newmark average acceleration method is used in the time history. A compassion study is performed for accuracy of used formulations and method. In the numerical results, the effects of velocity of moving load, temperature values, the fiber orientation angles and the stacking sequence of laminas on the dynamic responses of the composite laminated beam are investigated.

불규칙 노면을 고려한 3차원 자동차 모델에 의한 강교의 동적 응답에 관한 연구 (A Study on Traffic-Induced Vibration of Steel Girder-Bridge by Three-Dimensional Vehicle Model on Random Road Profile)

  • 김철우;카와타니 미츠오;이우현
    • 한국강구조학회 논문집
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    • 제9권1호통권30호
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    • pp.23-36
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    • 1997
  • 교량(橋梁)의 동적응답(動的應答)을 파악하기 위해서는 노면(路面)조도에 의해 영향을 받는 차량의 거동 파악이 중요하게 된다. 최근, 교량의 상판(床版)등에서 발생되는 피로(疲勞)의 영향에 대한 관심이 고조되어 서서히 교통진동의 3차원 모델링에 대한 중요성이 대두되고 있다. 이에 본 연구에서는 교량에 발생되는 교통진동(交通振動)의 영향을 좀더 정확히 표현하기 위하여 3차원 해석 방법을 제시한다. 해석방법으로 유한 요소법이 이용되었고, 차량 모델링은 하나의 전축(煎軸)과 두 개의 후축(後軸)을 갖는 8자유도계(自由度系) 차량 모델을 이용하여 수치 시뮬레이션을 수행하였다. 동적(動的) 연립미분방정식(聯立微分方程式)의 해법에서는 Newmark-${\beta}$법(法)을 이용하였고, 가상 노면요철(凹凸)모델링에서는 정상불규칙과정(定常不規則過程)으로 가정하여 노면 요철(凹凸)을 생성하여 시뮬레이션에 사용하였다. 또한 실제 차량 및 교량에서의 실측치와 비교하여 모델의 검증을 수행하였다.

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Effect of road surface roughness on indirect approach for measuring bridge frequencies from a passing vehicle

  • Chang, K.C.;Wu, F.B.;Yang, Y.B.
    • Interaction and multiscale mechanics
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    • 제3권4호
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    • pp.299-308
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    • 2010
  • The indirect approach for measuring the bridge frequencies from the dynamic responses of a passing vehicle is a highly potential method. In this study, the effect of road surface roughness on such an approach is studied through finite element simulations. A two-dimensional mathematical model with the vehicle simulated as a moving sprung mass and the bridge as a simply-supported beam is adopted. The dynamic responses of the passing vehicle are solved by the finite element method along with the Newmark ${\beta}$ method. Through the numerical examples studied, it is shown that the presence of surface roughness may have negative consequence on the extraction of bridge frequencies from the test vehicle. However, such a shortcoming can be overcome either by introducing multiple moving vehicles on the bridge, besides the test vehicle, or by raising the moving speed of the accompanying vehicles.

A dynamic foundation model for the analysis of plates on foundation to a moving oscillator

  • Nguyen, Phuoc T.;Pham, Trung D.;Hoang, Hoa P.
    • Structural Engineering and Mechanics
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    • 제59권6호
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    • pp.1019-1035
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    • 2016
  • This paper proposes a new foundation model called "Dynamic foundation model" for the dynamic analysis of plates on foundation subjected to a moving oscillator. This model includes a linear elastic spring, shear layer, viscous damping and the special effects of mass density parameters of foundation during vibration. By using finite element method and the principle of dynamic balance, the governing equation of motion of the plate travelled by the oscillator is derived and solved by the Newmark's time integration procedure. The accuracy of the algorithm is verified by comparing the numerical results with the other numerical results in the literature. Also, the effects of mass and damping ratio of system components, stiffness of suspension system, velocity of moving oscillator, and dynamic foundation parameters on dynamic responses are investigated. A very important role of these factors will be shown in the dynamic behavior of the plate.

Vibration Analysis of a Rotor considering Nonlinear Reaction of Hydrodynamic Bearing

  • Lee, Soo-Mok;Lim, Do-Hyeong;Bae, Jong-Gug;Yang, Bo-Suk
    • International Journal of Fluid Machinery and Systems
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    • 제2권3호
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    • pp.254-259
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    • 2009
  • In this paper it was attempted to treat the hydrodynamic journal bearing as a time-based nonlinear reaction source in each step of rotor rotation in order to observe the bearing effect more realistically and accurately in stead of the conventional method of simple linearized stiffness and damping. Lubrication analysis based on finite element method is employed to calculate the hydrodynamic reaction of bearing and Newmark's method was used to calculate the rotor dynamics in the time domain. Simulation for an industrial electrical motor showed remarkable results with differences compared to those by the conventional method in the dynamic behavior of the rotor.

오일러 매개변수를 이용한 해저연약지반 무한궤도 차량의 동적거동 해석 (Dynamic Analysis of Underwater Tracked Vehicle on Extremely Soft Soil by Using Euler Parameters)

  • 김형우;홍섭;최종수;여태경
    • 한국해양공학회지
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    • 제20권6호
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    • pp.93-100
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    • 2006
  • This paper is concerned with the dynamic analysis of an underwater tracked vehicle, operating on extremely soft soil of the deep-seafloor. The vehicle is assumed as a rigid-body with 6-dof. The orientation of the vehicle is defined by four Euler parameters. To solve the motion equations of the vehicle, the Newmark numerical integrator is used in the incremental-iterative algorithm. The normalization constraint of Euler parameters is satisfied by using of a sequential updating method. The hydrodynamic force and moment are included in the tracked vehicle's dynamics. The hydrodynamic effects on the performance of tracked vehicles are investigated through numerical simulations.

Piezocomposite 재료를 사용한 회전하는 블레이드의 진동억제 (Vibration suppression of rotating blade with piezocomposite materials)

  • 최승찬;김지환
    • 한국복합재료학회:학술대회논문집
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    • 한국복합재료학회 2004년도 추계학술발표대회 논문집
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    • pp.282-285
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    • 2004
  • The main purpose of this study is the vibration suppression of rotating composite blade containing distributed piezoelectric sensors and actuators. The blade is modeled by thin-walled, single cell composite beam including the warping function, centrifugal force, Coriolis acceleration and piezoelectric effect. Further, the numerical study is performed m ing finite element method. The vibration of composite rotor is suppressed by piezocomposite actuators and PVDF sensors that are embedded between composite layers. A velocity feedback control algorithm coupling the direct and converse piezoelectric effect is used to actively control the' dynamic response of an integrated structure through a closed control loop. Responses of the rotating blade are investigated. Newmark time integration method is used to calculate the time response of the model. In the numerical simulation, the effect of parameters such as rotating speed, fiber orientation of the blade and size of actuators are studied in detail.

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컨테이너 상차 시 트레일러 현가장치의 최적설계 (Optimum Design of Suspension in Loading Container on Trailer)

  • 김재헌;홍도관;김중완;전언찬;안찬우
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2001년도 추계학술대회논문집A
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    • pp.710-715
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    • 2001
  • This research is presented for optimizing the coefficients of spring and damper by impact load which is applied to a trailer when the containers are loaded up trailer. The procedure utilize the condition that two containers, initial velocity of container, initial height of container and maximum of suspension stroke. The coefficients of spring and damper are calculated numerically through Newmark method uses finite difference expansions. The procedure of calculation is applied by one DOFs of mass-spring-damper system. The coefficients of spring and damper have large value as increase of height or decrease of stroke. The result of calculation is investigated and is used AGV design.

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고층건물의 풍하중 유발 진동해석 (Wind Load Induced Vibration Analysis for Tall Structure)

  • 김동현;김유성;김요한;김동만;이종욱
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2009년도 춘계학술대회 논문집
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    • pp.658-659
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    • 2009
  • In this study, fluid-induced vibration (FIV) analyses have been conducted for tall building structure. In order to investigate the aeroelastic responses of tall building due to wind load, advanced computational analysis system based n computational fluid dynamics(CFD) and computational structural dynamics (CSD) has been developed. Fluid domains are modeled using the computational grid system with local grid deforming technique. A fully implicit time marching scheme based on the Newmark direct integration method is used for computing the coupled aeroelastic governing equations of tall structure for fluid-structure interaction (FSI) problems. Detailed aeroelastic responses and results are presented to show the physical phenomenon of the tall building.

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