• Title/Summary/Keyword: 구속방정식

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Vibration Analysis of a Bogie Using Linearized Dynamic Equations of a Multibody System (다물체계의 선형 동역학식을 이용한 대차의 진동 해석)

  • Kang, Juseok
    • Journal of the Korean Society for Railway
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    • v.17 no.5
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    • pp.321-327
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    • 2014
  • In this paper, linear dynamic equations are derived from nonlinear dynamic equations of constrained multibody systems using the QR decomposition method. The derived linear equations are applied to a railway vehicle bogie. The vibration characteristics of the railway vehicle are investigated by calculating the natural mode and transfer function of the bogie frame in relation to rail-roughness input. The main modes of the bogie were found below 35Hz, and the local modes above 198Hz. The magnitude of the vertical transfer function varied with the forward velocity due to vertical and pitch modes, which were influenced by the forward velocity. The magnitude of the lateral transfer function was negligibly small, and the mode in the longitudinal direction was excited for longitudinal transfer function regardless of the forward velocity.

Dynamic Balancing in a Link Motion Punch Press (링크모션 펀치프레스의 다이나믹 발란싱)

  • Suh, Jin-Sung
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.17 no.5 s.122
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    • pp.415-426
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    • 2007
  • In a link motion punch press, numerous links are interconnected and each link executes a constrained motion at high speed. As a consequence, dynamic unbalance force and moment are transmitted to the main frame of the press, which results in unwanted vibration. This degrades productivity and precise stamping work of the press. This paper presents an effective method for reducing dynamic unbalance in a link motion punch press based upon kinematic and dynamic analyses. Firstly, the kinematic analysis is carried out in order to understand the fundamental characteristics of the link motion mechanism. Then design variable approach is presented in order to automate the model setup for the mechanism whenever design changes are necessary. To obtain the inertia properties of the links such as mass, mass moment of inertia, and the center of mass, 3-dimensional CAD software was utilized. Dynamic simulations were carried out for various combinations of design changes on some links having significant influences on kinematic and dynamic behavior of the mechanism.

Optimal Design of Viscoelastic Dampers and Support Braces (점탄성 감쇠기와 설치용 가새의 최적설계)

  • 박지훈;이상현;강경수;황재승;김진구
    • Journal of the Earthquake Engineering Society of Korea
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    • v.5 no.3
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    • pp.45-55
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    • 2001
  • The purpose of this paper is to present the optimal design method of viscoelastic dampers and support brace stiffnesses. The dynamics of visco-elastic dampers and support braces connected in series is modeled by state equation. A constraint on maximum story drifts which are computed using RMS\`s of story drifts and peak factors is added to the optimization problem. The number of variables is reduced by including the constraint associated with the dynamic behavior of the structure in the procedure to compute the gradient of the inequality equation about constraint on the maximum story drifts. In the design example, it is confirmed that the design of dampers considering support brace stiffnesses is necessary when sufficient brace stiffnesses cannot be supplied. It is also found that unnecessary brace stiffnesses can be removed by adding brace stiffnesses to optimal design variables and that the increase of damper volumes to compensate for the variation of maximum story drifts is pretty small.

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Torsional Behaviour of Concrete Filled Circular Steel Tube Column Considering Confinement Effect (구속효과를 고려한 콘크리트 충전 원형강관 기둥의 비틀림 거동)

  • Yun, Bok Hee;Lee, Eun Taik;Park, Ji Young;Jang, Kyong Ho
    • Journal of Korean Society of Steel Construction
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    • v.16 no.5 s.72
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    • pp.529-541
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    • 2004
  • Concrete filled steel tube structures were recently used in constructing high-rise buildings due to their effectiveness. Studies on concrete filled steel tubes have been focused on the experiments of uni-axial compression and bending and eccentric compression. There were also a few studies that investigated CFT member behavior under combined compression and torsion. The behavior of a circular CFT column under combined torsion and compression was theoretically investigated, considering the confinement of steel tubes on the concrete, the softening of the concrete, and the spiral effect, which were the dominant factors that influenced compression and torsion strength. The biaxial stress effects due to diagonal cracking were also taken into account. By applying those factors to compatibility and equilibrium conditions, the basic equation was derived, and the equation could be used to incorporate the torsional behavior of the entire loading history of the CFT member.

A Study on Container Securing System for Optimum Arrangement (최적 적재를 위한 컨테이너 시큐어링 시스템 개발에 관한 연구)

  • Shin, Sang-Hoon
    • Journal of Navigation and Port Research
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    • v.27 no.4
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    • pp.397-402
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    • 2003
  • Generally, container arrangement has been carried out based on the Classification guidelines. However, guidelines provide only container securing forces for the given container arrangement and Classification requirements of the forces. In order to design container arrangement additional information is needed such as container securing forces and arrangement that accounts for lashing bridges, vertical lashing, vertical center of gravity (VCG), and maximum stack weight. Trial and error method using the existing guidelines requires excessive amount of calculation time and cannot provide accurate results of the calculations. In order to fulfill this need, a new container securing system has been established based on the equilibrium conditions that include lashing bridges and vertical lashing. An optimization algorithm has been developed for the new system since current optimization methods such as genetic algorithms and evolution strategies are unsuitable for the container securing problems, which involve equality constraint. Design variables are container weights of tier and objective function is either total container weight or VCG of a stack. The newly developed system provides optimum arrangement of containers for both maximum stack weight and maximum VCG. It also greatly reduces time for designing container arrangement.

Dynamic Behavior of Bridges for High-Speed Train Considering Braking Function of TGV-K (TGV-K의 제동함수를 고려한 고속철도 교량으 동적거동)

  • 곽종원
    • Journal of the Earthquake Engineering Society of Korea
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    • v.4 no.4
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    • pp.117-123
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    • 2000
  • 열차와 교량의 3차원 모델링을 사용한 고속철도 교량의 동적해석이 수행되었다. 철도교의 모델인은 판요소와 3차원 뼈대요소로 모델링되었다. 상판과 주형 사이의 offset은 기하학적인 구속조건을 사용하여 고려하였다. 본 연구에서 사용된 고속철도는 2량의 동력차와 2량의 모터차와 16량의 객차로 구성되어 있다. 관절형 대차로 연결되어 전체 열차계의 운동방정식은 Lagrange 방정식을 이용하여 유도되었으며, 차제와 대차 그리고 자축의 3차원인 운동을 고려하였다. 이동 열차에 의한 교량의 응답은 predictor-corrector 반복법에 의한 Newmark-$\beta$ 법에 의해서 그 해가 구해진다. 매개변수해석에 의해서 열차의 이상화방법, 열차의 제동, 철도교량의 주행면 조도에 의한 영향이 고찰되었다.

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Free Vibration Analysis of Monosymmetric Thin-walled Circular Curved Beam (일축대칭 단면을 갖는 박벽 원형 곡선보의 자유진동 해석)

  • 장승필;김문영;민병철
    • Journal of the Earthquake Engineering Society of Korea
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    • v.2 no.2
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    • pp.57-68
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    • 1998
  • For free vibration of monosymmetric thin-walled circular arches including restrained warping effect, the elastic strain and kinetic energy is derived by introducing displacement fields of circular arches in which all displacement parameters are defined at the centroid axis. The cubic Hermitian polynomials are utilized as shape functions for development of the curved thin-walled beam element having eight degrees of freedom. Analytical solution for free vibration behaviors of simply supported thin-walled curved beam element is presented by evaluating elastic stiffness and mass matrices. In order to illustrate the accuracy and practical usefulness of this study, analytical and numerical solutions for free vibration of circular arches are presented and compared with solutions analyzed by the FEM using straight beam element.

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Performance Evaluation of a Time-domain Gauss-Newton Full-waveform Inversion Method (시간영역 Gauss-Newton 전체파형 역해석 기법의 성능평가)

  • Kang, Jun Won;Pakravan, Alireza
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.26 no.4
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    • pp.223-231
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    • 2013
  • This paper presents a time-domain Gauss-Newton full-waveform inversion method for the material profile reconstruction in heterogeneous semi-infinite solid media. To implement the inverse problem in a finite computational domain, perfectly-matchedlayers( PMLs) are introduced as wave-absorbing boundaries within which the domain's wave velocity profile is to be reconstructed. The inverse problem is formulated in a partial-differential-equations(PDE)-constrained optimization framework, where a least-squares misfit between measured and calculated surface responses is minimized under the constraint of PML-endowed wave equations. A Gauss-Newton-Krylov optimization algorithm is utilized to iteratively update the unknown wave velocity profile with the aid of a specialized regularization scheme. Through a series of one-dimensional examples, the solution of the Gauss-Newton inversion was close enough to the target profile, and showed superior convergence behavior with reduced wall-clock time of implementation compared to a conventional inversion using Fletcher-Reeves optimization algorithm.

Dynamics modeling and Estimation of Manoeuvrability for Tug-Barge Systems (예부선의 동역학 모델링 및 조종 성능 추정법 개발)

  • Yeo, Dong-Jin;Han, Seong-Hwan;Kim, Dong-Jin;Kim, Yeon-Gyu
    • Proceedings of the Korean Institute of Navigation and Port Research Conference
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    • 2009.10a
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    • pp.40-41
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    • 2009
  • In general, ships are towed to keep the safe operations in harbor or channel by tug boats. Due to increase in ocean traffic, many accidents are happened in harbor or channel in these days. Therefore it is necessary to predict manoeuvrability of tug-barge system, and to assure the safety of that system. Turg-barge system is composed of tug boat, barge, and towing cable, connecting both ships. Manoeuvring equations of tug-barge system are suggested, and the scopes of model tests are discussed to establish the mathematical models for tug boats in this paper.

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Dynamic Response of a Beam Including the Mass Effect of the Moving Loads (이동 하중의 질량효과를 고려한 보의 동적응답)

  • 최교준;김용철
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.15 no.1
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    • pp.61-68
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    • 1991
  • The system such as railway bridge can be modelled as the restrained beam with intermediate supports. This kind of structures are subject to the moving load, which has a great effect on dynamic stresses and can cause sever motions, especially at high velocities. Therefore, to analyze the dynamic characteristics of the system due to the moving load is very important. In this paper, the governing equation of motion of a restrained beam subjected to the moving load is derived by using the Hamilton's principle. The orthogonal polynomial functions, which are trial functions and satisfying the geometric and dynamic boundary conditions, are obtained through simple procedure. The dynamic response of the system subjected to the moving loads is obtained by using the Galerkin's method and the numerical time integration technique. The numerical tests for various constraint, velocity and boundary conditions were preformed. Furthermore, the effects of mass of the moving load are studied in detail.