• Title/Summary/Keyword: Rigid-body dynamics

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Interactive Simulation between Rigid body and Fluid using Simplified Fluid-Surface Model (간략화된 유체 표면모델을 이용한 강체와 유체의 상호작용 시뮬레이션)

  • Kim, Eun-Ju
    • Journal of Korea Multimedia Society
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    • v.12 no.2
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    • pp.323-328
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    • 2009
  • Natural Phenomena are simulated to make computer users feel verisimilitude and be immersed in games or virtual reality. The important factor in simulating fluid such as water or sea using 3D rendering technology in games or virtual reality is real-time interaction and reality. There are many difficulties in simulating fluid models because it is controlled by many equations of each specific situation and many parameter values. In addition, it needs a lot of time in processing physically-based simulation. In this paper, I suggest simplified fluid-surface model in order to represent interaction between rigid body and fluid, and it can make faster simulation by improved processing. Also, I show movement of fluid surface which is come from collision of rigid body caused by reaction of fluid in representing interaction between rigid body and fluid surface. This natural fluid-surface model suggested in this paper is represented realistically in real-time using fluid dynamics veri similarly. And the fluid-surface model will be applicable in games or animation by realizing it for PC environment to interact with this.

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Flexible Multi-body Dynamic Analysis for Reducer-integrated Motor of Autofilter (오토필터의 감속기 일체형 모터에 관한 유연 다물체 동역학 해석)

  • J.K. Kim;B.D. Kim;G.S. Lee
    • Journal of the Korean Society for Heat Treatment
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    • v.36 no.5
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    • pp.311-317
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    • 2023
  • An autofilter is a device that removes impurities contained in heavy fuel oil used in diesel engines of ships or power plants, and also automatically removes impurities accumulated in the filter through a reverse washing function. The reducer-integrated motor serves to rotate the filter at low speed to enable reverse automatic cleaning in the autofilter device. To achieve a low speed of 0.65 to 0.75 rpm in a reducer-integrated motor, a small motor that can operate at 97rpm at a rated voltage of 110 V and 112.5 rpm at 220 V is required. Additionally, a large gear ratio of 1/150 is required. To ensure the durability and reliability of these reducers, the strength of the gear must be evaluated at the design stage. In general, there is a limit to evaluating the stress and strain state according to the vibration characteristics acting on each gear in the driving state of the reducer through quasi-static analysis. Therefore, in this study, the operation characteristics of the auto filter's reducer-integrated motor were first analyzed using the rigid body dynamics analysis method. Then, this rigid body dynamics analysis model was extended to a flexible multibody dynamics analysis model to analyze the stress and strain states acting on each gear and evaluate the design feasibility of the gear.

Analysis Method for Multi-Flexible-Body Dynamics Solver in RecurDyn (RecurDyn 솔버에 적용되어 있는 유연 다물체 동역학에 대한 해석기술)

  • Choi, Juhwan;Choi, Jin Hwan
    • Transactions of the KSME C: Technology and Education
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    • v.3 no.2
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    • pp.107-115
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    • 2015
  • The analysis of multi-flexible-body dynamics (MFBD) has been an important issue in the area of the computational dynamics. This technique has been developed and improved in RecurDyn solver. This paper reviews the formulation which is applied in the RecurDyn solver. Basically, in order to solve the multi-flexible-body dynamics problem, an incremental finite element formulation using a corotational procedure is used. In particular, in order to solve the rigid and flexible bodies together, a constraint equation between a rigid body and a flexible body is applied, in which a virtual body and a flexible body joint are introduced.

Dynamics Analysis of a Multi-beam System Undergoing Overall Rigid Body Motion Employing Finite Element Method (유한요소법을 사용한 강체운동을 하는 다중보계의 동적 해석)

  • Choe, Sin;Yu, Hong-Hui
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.24 no.9 s.180
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    • pp.2266-2273
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    • 2000
  • Equations of motion of a multi-beam system undergoing overall rigid body motion are derived by employing finite element method. An orientation angle is employed to allow the arbitrary orientation o f the beam element. Modal coordinate reduction technique, which has been successfully utilized in the conventional linear modeling method, is employed for the present modeling method to reduce the computational effort. Different from the conventional linear modeling method, the present modeling method captures the motion-induced stiffness variations which are important for the dynamic analysis of structures undergoing overall rigid body motion. The numerical results are compared to those of a commercial program to verify the reliability of the present method.

Dynamics in Carom and Three Cushion Billiards

  • Han Inhwan
    • Journal of Mechanical Science and Technology
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    • v.19 no.4
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    • pp.976-984
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    • 2005
  • This paper presents the analysis results of dynamics in the billiards game within the frame­work of rigid-body mechanics and a numerical simulation program. The friction exists between the ball and the table bed as well as between the ball and the rail. There are three parts in the dynamic behavior of the ball on the table bed; motion of the ball on the table bed, collision between balls, and collision between the ball and the cushion. During the development of the simulation program, the dynamics problems such as rolling motion and three-dimensional frictional impact motion have been analyzed in detail. The theoretical issues are implemented into a viable graphic simulation program and its efficacy is demonstrated through the experi­mental validation of the billiards game. The resulting analysis results are verified quantitatively and qualitatively using high-speed video camera. Through the experimental tests, it was found that the physical parameters such as coefficients of restitution and friction vary according to the motion variables and corresponding empirical formulations were developed. The simulation and experimental results agree well.

Dynamic Analysis of a Chain of Rigid Rods

  • Attia, Hazem Ali
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.8 no.2
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    • pp.75-86
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    • 2004
  • In this study, a recursive algorithm for generating the equations of motion of a chain of rigid rods is presented. The methods rests upon the idea of replacing the rigid body by a dynamically equivalent constrained system of particles. The concepts of linear and angular momentums are used to generate the rigid body equations of motion without either introducing any rotational coordinates or the corresponding transformation matrices. For open-chain, the equations of motion are generated recursively along the serial chains. For closed-chain, the system is transformed to open-chain by cutting suitable kinematic joints with the addition of cut-joints kinematic constraints. An example of a closed-chain of rigid rods is chosen to demonstrate the generality and simplicity of the proposed method.

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Dynamic Analysis of Floating Flexible Body Using Perturbation Method (섭동법을 이용한 부유 한성체의 동역학 해석)

  • Seong, Kwan-Jae;Kwak, Moon K.
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.14 no.12
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    • pp.1354-1359
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    • 2004
  • This paper is concerned with the application of perturbation method to the dynamic analysis of floating flexible body. In dealing with the dynamics of free-floating body, the rigid-body motions and elastic vibrations are analyzed separately. However, the rigid-body motions cause vibrations and elastic vibrations also affect rigid-body motions in turn, which indicates that the rigid-body motions and elastic vibrations are coupled in nature. The resulting equations of motion are hybrid and nonlinear. We can discretize the equations of motion by means of admissible functions but still we have to cope with nonlinear equations. In the previous paper, we proposed the use of perturbation method to the coupled equations of motion and derived zero-order and first-order equations of motion. The derivation process was lengthy and tedious. Hence, in this paper, we propose a new approach to the same problem by applying the perturbation method to the Lagrange's equations, thus providing a systematic approach to the addressed problem. Theoretical derivations show the efficacy of the proposed method.

Aeroelastic stability analysis of a two-stage axially deploying telescopic wing with rigid-body motion effects

  • Sayed Hossein Moravej Barzani;Hossein Shahverdi
    • Advances in aircraft and spacecraft science
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    • v.10 no.5
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    • pp.419-437
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    • 2023
  • This paper presents the study of the effects of rigid-body motion simultaneously with the presence of the effects of temporal variation due to the existence of morphing speed on the aeroelastic stability of the two-stage telescopic wings, and hence this is the main novelty of this study. To this aim, Euler-Bernoulli beam theory is used to model the bending-torsional dynamics of the wing. The aerodynamic loads on the wing in an incompressible flow regime are determined by using Peters' unsteady aerodynamic model. The governing aeroelastic equations are discretized employing a finite element method based on the beam-rod model. The effects of rigid-body motion on the length-based stability of the wing are determined by checking the eigenvalues of system. The obtained results are compared with those available in the literature, and a good agreement is observed. Furthermore, the effects of different parameters of rigid-body such as the mass, radius of gyration, fuselage center of gravity distance from wing elastic axis on the aeroelastic stability are discussed. It is found that some parameters can cause unpredictable changes in the critical length and frequency. Also, paying attention to the fuselage parameters and how they affect stability is very important and will play a significant role in the design.

Influence of torsional rigidity of flexible appendages on the dynamics of spacecrafts

  • Chiba, Masakatsu;Magata, Hidetake
    • Coupled systems mechanics
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    • v.8 no.1
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    • pp.19-38
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    • 2019
  • The influence of torsional rigidity of hinged flexible appendage on the linear dynamics of flexible spacecrafts with liquid on board was analyzed by considering the spacecraft's main body as a rigid tank, its flexible appendages as two elastically supported elastic beams, and the onboard liquid as an ideal liquid. The meniscus of the liquid free surface due to surface tension was considered. Using the Lagrangian of the spacecraft's main body (rigid tank), onboard liquid, and two beams (flexible appendages) in addition to assuming the system moved symmetrically, the coupled system frequency equations were obtained by applying the Rayleigh-Ritz method. The influence of the torsional rigidity of the flexible appendages on the spacecraft's coupled vibration characteristics was primary focus of investigation. It was found that coupled vibration modes especially that of appendage considerably changed with torsion spring parameter ${\kappa}_t$ of the flexible appendage. In addition, variation of the main body displacement with system parameters was investigated.

FLUID-BODY INTERACTION ANALYSIS OF FLOATING BODY IN THREE DIMENSIONS (3차원 부유체의 유체-물체 연성해석)

  • Go, G.S.;Ahn, H.T.
    • Journal of computational fluids engineering
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    • v.20 no.2
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    • pp.103-108
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    • 2015
  • Fluid-body interaction analysis of floating body with six degree-of-freedom motion is presented. In this study, three-dimensional incompressible Navier-Stokes equations are employed as a governing equation. The numerical method is based on a finite-volume approach on a cartesian grid together with a fractional-step method. To represent the body motion, the immersed boundary method for direct forcing is employed. In order to simulate the coupled six degree-of-freedom motion, Euler's equations based on rigid body dynamics are utilized. To represent the complex body shape, level-set based algorithm is utilized. In order to describe the free surface motion, the volume of fluid method utilizing the tangent of hyperbola for interface capturing scheme is employed. This study showed three different continuums(air, water and body) are simultaneously simulated by newly developed code. To demonstrate the applicability of the current approach, two different problems(dam-breaking with stationary obstacle and water entry) are simulated and all results are validated.