• Title/Summary/Keyword: Rigid Body Equations of Motion

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A Study of Mechanism Synthesis of One-Degree-of-Freedom Planar Linkages with Revolute Joints (회전대우를 갖는 1자유도 평면기구의 기구합성에 관한 연구)

  • 조선휘;신동원
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.17 no.6
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    • pp.1330-1341
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    • 1993
  • The kinematic synthesis deals with the systematic design of mechanisms for a given performance. The area of synthesis may be grouped into two categories to determine the type and to size the dimensions of a mechanism for a specified task. In this paper, using a database of mechanisms a designer can determine the type of mechanism conveniently and design equations are automatically generated for a given input performance. The solving method of design equations utilizes an optimization routine to obtain roots effectively. The linkages of 4, 6, and 8bars with revolute joints are considered in this study but may be extended to linkages of more bars.

3D Nonlinear Fully Coupled Simulation of Cable and Tow-fish System (케이블-수중 예인체 시스템의 3차원 비선형 완전 연성해석)

  • Go, Gwangsoo;Lee, Euntaek;Ahn, Hyung Taek
    • Journal of Ocean Engineering and Technology
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    • v.30 no.6
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    • pp.458-467
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    • 2016
  • In this paper, a strongly coupled method for investigating the interaction between a cable and tow-fish is presented. The nodal position finite element method was utilized to analyze the nonlinear cable dynamics, and 6DOF equations of motion were employed to describe the 3D rigid body motion of the tow-fish. Combining cable and tow-fish systems into a single formulation allowed the two nonlinear systems to be strongly coupled into a unified nonlinear system. This strongly coupled system was numerically integrated in the time domain using a predictor/multi-corrector Newmark algorithm. To demonstrate the validity, efficacy, and applicability of the current approach, two different scenarios (virtual and sea trial) were simulated, and the simulation results were validated using the physical plausibility and the sea trial test.

DIRECT NUMERICAL SIMULATION OF PARTICLE SUSPENSIONS IN A POLYMERIC LIQUID (미세입자분산 고분자 현탁액의 3차원 직접수치해석)

  • Hwang, W.R.;Hulsen, M.A.;Meijer, H.E.H.
    • Journal of computational fluids engineering
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    • v.14 no.4
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    • pp.101-108
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    • 2009
  • We present a new finite-element scheme for direct numerical simulation of particle suspensions in simple shear flow of a viscoelastic fluid in 3D. The sliding tri-periodic representative cell concept has been combined with DEVSS/DG finite element scheme by introducing constraint equations along the domain boundary. Rigid body motion of the freely suspended particle is described by the rigid-shell description and implemented by Lagrangian multipliers on particle boundaries. We present the bulk rheology of suspensions through the numerical examples of single-, two- and many-particle problems, which represent a large number of such systems in simple shear flow. We report the steady bulk viscosity and the first normal stress coefficient, which show shear-thickening behavior for both properties.

Dynamic Characteristics Analysis of Stacker Crane for Automatic Warehouse(II) (자동창고용 스태커 크레인의 동특성 해석(II))

  • Kim, Jong-Jun;Lee, Yun-Sig;Shin, Sang-Ryong;Lee, Ho-Taek;Jo, Dae-Ha
    • Proceedings of the KSME Conference
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    • 2001.06b
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    • pp.436-441
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    • 2001
  • In this paper, stacker crane is modeled as rigid elements and discrete flexible beam connections by kinematics & dynamics solver package program instead of deriving the equations of motion which describes the total dynamics of the system. For the simulation of structural dynamics, ADAMS, a software for the simulation of multiple rigid body dynamics, is used. Some kinds of works are fulfilled to examine the dynamic characteristics of system. In order to verify the analysis method, the results of simulation and experiment are compared.

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Finite Element Analysis of Unbalance Response of a High Speed Flexible Polygon Mirror Scanner Motor Considering the Flexibility of Supporting Structure (지지구조의 유연성을 고려한 고속 유연 폴리곤 미러 스캐너 모터의 유한 요소 불평형 응답 해석)

  • Jung, Kyung-Moon;Seo, Chan-Hee;Kim, Myung-Gyu;Jang, Gun-Hee
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2007.05a
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    • pp.859-865
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    • 2007
  • This paper presents a method to analyze the unbalance response of a high speed polygon mirror scanner motor supported by sintered bearing and flexible supporting structures by using the finite element method and the mode superposition method. The appropriate finite element equations for polygon mirror are described by rotating annular sector element using Kirchhoff plate theory and von Karman non-linear strain, and its rigid body motion is also considered. The rotating components except for the polygon mirror are modeled by Timoshenko beam element including the gyroscopic effect. The flexible supporting structures are modeled by using a 4-node tetrahedron element and 4-node shell element with rotational degrees of freedom. Finite element equations of each component of the polygon mirror scanner motor and the flexible supporting structures are consistently derived by satisfying the geometric compatibility in the internal boundary between each component. The rigid link constraints are also imposed at the interface area between sleeve and sintered bearing to describe the physical motion at this interface. A global matrix equation obtained by assembling the finite element equations of each substructure is transformed to a state-space matrix-vector equation, and both damped natural frequencies and modal damping ratios are calculated by solving the associated eigenvalue problem by using the restarted Arnoldi iteration method. Unbalance responses in time and frequency domain are performed by superposing the eigenvalues and eigenvectors from the free vibration analysis. The validity of the proposed method is verified by comparing the simulated unbalance response with the experimental results. This research also shows that the flexibility of supporting structures plays an important role in determining the unbalance response of the polygon mirror scanner motor.

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Modeling of flat otter boards motion in three dimensional space (평판형 전개판의 3차원 운동 모델링)

  • Choe, Moo-Youl;Lee, Chun-Woo;Lee, Gun-Ho
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.43 no.1
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    • pp.49-61
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    • 2007
  • Otter boards in the trawl are the one of essential equipments for the net mouth to be spread to the horizontal direction. Its performance should be considered in the light of the spreading force to the drag and the stability of towing in the water. Up to the present, studies of the otter boards have focused mainly on the drag and lift force, but not on the stability of otter boards movement in 3 dimensional space. In this study, the otter board is regarded as a rigid body, which has six degrees of freedom motion in three dimensional coordinate system. The forces acting on the otter boards are the underwater weight, the resistance of drag and spread forces and the tension on the warps and otter pendants. The equations of forces were derived and substituted into the governing equations of 6 degrees of freedom motion, then the second order of differential equations to the otter boards were established. For the stable numerical integration of this system, Backward Euler one of implicit methods was used. From the results of the numerical calculation, graphic simulation was carried out. The simulations were conducted for 3 types of otter boards having same area with different aspect ratio(${\lambda}=0.5,\;1.0,\;1.5$). The tested gear was mid-water trawl and the towing speed was 4k't. The length of warp was 350m and all conditions were same to each otter board. The results of this study are like this; First, the otter boards of ${\lambda}=1.0$ showed the longest spread distance, and the ${\lambda}=0.5$ showed the shorted spread distance. Second, the otter boards of ${\lambda}=1.0$ and 1.5 showed the upright at the towing speed of 4k't, but the one of ${\lambda}=0.5$ heeled outside. Third, the yawing angles of three otter boards were similar after 100 seconds with the small oscillation. Fourth, it was revealed that the net height and width are affected by the characteristics of otter boards such as the lift coefficient.

Analysis for Lifting Design of a Floating Crane with Elastic Booms (붐(Boom)의 탄성을 고려한 해상 크레인의 리프팅 설계 해석)

  • Park, Kwang-Phil;Cha, Ju-Hwan;Lee, Kyu-Yeul
    • Special Issue of the Society of Naval Architects of Korea
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    • 2011.09a
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    • pp.5-11
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    • 2011
  • In this paper, the dynamic response analysis of a floating crane with elastic booms and a cargo is performed. The objective is to consider the effects of the elastic boom in the lifting design stage. Governing equations of the motion for the system which consists of interconnected rigid and flexible bodies are derived based on the formulation of flexible multibody system dynamics. To model the boom as a flexible body, floating reference frame and nodal coordinates are used. Coupled surge, pitch, and heave motion of the floating crane with the cargo which has 3 degree of freedom is simulated by solving the equation numerically. Finally, the effects of the elastic boom for the lifting design that the floating crane is required to lift a heavy cargo are discussed by comparing the simulation result between with the elastic boom and with the rigid one.

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A Numerical Method for Dynamic Analysis of Tracked Vehicles of High Mobility

  • Lee, Ki-Su
    • Journal of Mechanical Science and Technology
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    • v.14 no.10
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    • pp.1028-1040
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    • 2000
  • A numerical method is presented for the dynamic analysis of military tracked vehicles of high mobility. To compute the impulsive dynamic contact forces which occur when a vehicle passes on a ground obstacle, the track is modeled as the combination of elastic links interconected by pin joints. The mass of each track link, the elastic elongation of a track link between pin joints by the track tension, and the elastic spring effects on the upper and lower surfaces of each track link have been considered in the equations of motion. And the chassis, torsion bar arms, and road wheels of the vehicle are modeled as the rigid multi bodies connected with kinematic constraints. The contact positions and the contact forces between the road wheels and track, and the ground and the the track are simultaneously computed with the solution of the equations of motions of the vehicle consisting of the multibodies. The iterative scheme for the solution of the multi body dynamics of the tracked vehicle is presented and the numerical simulations are conducted.

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Dynamic Modeling of Washing System with Elastic Motion (탄성 운동을 고려한 세탁기 시스템의 동력학 모델링)

  • 오혁진;이우식
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2003.10a
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    • pp.47-54
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    • 2003
  • The rotating of rotatory unit with its structural unbalance mass and laundry is making the main vibration problem in a vertical axis washing machine. For reducing vibration problem total washing system hung on the case by its suspension system which is constitute of spring, damper and suspension bar and hydraulic balancer is attached at the upper rim of spin basket. In this paper, we make the dynamic model of washing system of its rigid body motions by 6 degree of freedoms. Hydraulic balancer is modeled by one degree of freedom like auto ball balancer. Elastic motions of washing system have found by method of analytic, experimental and FEM. And we consider first bending mode of each suspension bar and first circumferential mode of assy tub. So, the total washing system is modeled by 12 degree of freedoms. Equations of motion for total washing system have derived, and we perform the dynamic simulation tests.

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Dynamic Response Characteristics of Tension Leg Platforms with Flexibility Variations in Waves (굽힘강성 변화에 따른 인장계류식 해양구조물의 동적응답 특성)

  • Lee, Chang-Ho;Choi, Chan-Moon;Hong, Bong ki
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.32 no.2
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    • pp.191-204
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    • 1996
  • The dynamic response characteristics with flexibility variations are examined for presenting the basic data for design of Tension Leg Platforms(TLPs)in waves. A numerical approach is based on the dynamic response analysis theory, in which the superstructure of TLPs is assumed flexible instead of the rigid body assumption used in two-step analysis method. The hydrodynamic interactions among TLP members, such as columns and pontoons are not included in the motion and structural analyse. The equations of motion of a whole structure are formulated using element-fixed coordinate systems which have the origin at the node of the each hull element.

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