• Title/Summary/Keyword: Collision Dynamics

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COLLECTIVE BEHAVIORS OF SECOND-ORDER NONLINEAR CONSENSUS MODELS WITH A BONDING FORCE

  • Hyunjin Ahn;Junhyeok Byeon;Seung-Yeal Ha;Jaeyoung Yoon
    • Journal of the Korean Mathematical Society
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    • v.61 no.3
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    • pp.565-602
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    • 2024
  • We study the collective behaviors of two second-order nonlinear consensus models with a bonding force, namely the Kuramoto model and the Cucker-Smale model with inter-particle bonding force. The proposed models contain feedback control terms which induce collision avoidance and emergent consensus dynamics in a suitable framework. Through the cooperative interplays between feedback controls, initial state configuration tends to an ordered configuration asymptotically under suitable frameworks which are formulated in terms of system parameters and initial configurations. For a two-particle system on the real line, we show that the relative state tends to the preassigned value asymptotically, and we also provide several numerical examples to analyze the possible nonlinear dynamics of the proposed models, and compare them with analytical results.

Efficient SDF-based Approach to Reduce the Trembling Issue in Cloth-Solid Collisions (옷감-고체 충돌에서 떨림 문제를 줄이기 위한 효율적인 SDF 기반 접근 방식)

  • Eun-Su Park;Jong-Hyun Kim
    • Proceedings of the Korean Society of Computer Information Conference
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    • 2024.01a
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    • pp.371-374
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    • 2024
  • 본 논문에서는 PBD(Position-based dynamics)를 이용한 옷감 시뮬레이션에서 페이스(Face) 및 에지(Edge)의 충돌/접촉을 처리할 때 나타나는 표면 떨림 문제를 SDF(Signed Distance Field) 접근법을 통해 안정적으로 해결할 수 있는 기법을 제안한다. 충돌 제약 조건을 이용한 충돌처리에서 나타나는 옷감 시뮬레이션의 떨림 현상을 개선하기 위해 본 논문에서는 페이스 및 에지 내부에 존재하는 충돌 지점의 속도를 충돌 법선 방향과 접선 방향으로 나누어 계산하는 과정을 거치며, 그 운동량을 페이스 및 에지에 포함된 연결된 정점(Vertex)에 전달한다. 본 논문에서 제안하는 기법은 일반적인 SDF 기반 충돌 처리에서 나타나는 충돌 시 떨림 현상을 개선하며, 기존의 방법보다 안정적인 SDF 충돌처리가 가능하기 때문에 다양한 변형체 재질을 시뮬레이션 할 때 활용될 수 있다.

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Optimum Design for an Air Current Pulverizing Blade Using the Computational Fluid Dynamics (CFD분석을 통한 기류식 분쇄기 날개부의 최적설계)

  • Kim, Gun-hoi;Kim, Han-bit
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.19 no.8
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    • pp.8-14
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    • 2020
  • In the air current pulverizing type grinding method, the blade wings fitted inside a casing are rotated at a high speed to generate a cornering air current, which facilitates the collision of materials with one another, leading to the pulverizing phenomenon. In contrast to mechanical grinding, grit pulverizing leads to fine grinding and less acid waste and degeneration of the material. Moreover, this approach prevents the loss of nutritional value, while allowing the milling grain to have an excellent texture. However, the existing air current pulverizing type machines consist of prefabricated blades, which cannot be rotated at a speed higher than 5,000 rpm. Consequently, the grinding process becomes time consuming with a low productivity. To overcome these problems, in this study, the shape and structure of the air current pulverizing type wings were optimized to allow rapid grinding at more than 8,000 rpm. Moreover, the optimal design for the ripening parts for the air current pulverizing type device was determined by performing a computational fluid dynamics analysis based on airflow analyses to produce machinery that can grinding materials to the order of micrometers.

Internal Energy Distributions of OH Products in the Reaction of O(3PJ) with HSiCl3

  • Kwak, Hyon-Tae;Ha, Seung-Chul;Jang, Sung-Woo;Kim, Hong-Lae;Park, Chan-Ryang
    • Bulletin of the Korean Chemical Society
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    • v.30 no.2
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    • pp.429-434
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    • 2009
  • The OH($X^2{\Pi},\;{\nu}$"=0, 1) internal state distributions from the reaction of electronically ground state oxygen atoms with HSi$Cl_3$ were measured using laser-induced fluorescence. The ground-state O$(^3P_J)$ atoms with kinetic energies above the reaction barrier were produced by photolysis of N$O_2$ at 355 nm. The OH product revealed strong vibrational population inversion, P(${\nu}$"=1)/P(${\nu}$"=0) = 4.0 ${\pm}$ 0.6, and rotational distributions in both vibrational states exhibit substantial rotational excitations to the limit of total available energy. However, no preferential populations in either of the two $\Lambda$ doublet states were observed from the micropopulations, which supports a mechanism involving a direct abstraction of hydrogen by the atomic oxygen. It was also found that the collision energy between O and HSi$Cl_3$ is effectively coupled into the excitation of the internal degrees of freedom of the OH product ($$ = 0.62, and $<\;f_{rot}>$ = 0.20). The dynamics appear consistent with expectations for the kinematically constrained reaction which supports the reaction type, heavy + light-heavy $\rightarrow$ heavy-light + heavy (H + LH′ $\rightarrow$ HL + H′). The dynamics of oxygen atom collision with HSi$Cl_3$ are discussed in comparison to those with Si$H_4$.

Rigid Body Dynamic Analysis on the Spent Nuclear Fuel Disposal Canister under Accidental Drop and Impact to the Ground: Theory (사고로 지면으로 추락낙하 충돌하는 고준위폐기물 처분용기에 대한 기구동역학 해석: 이론)

  • Kwon, Young-Joo
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.26 no.5
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    • pp.359-371
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    • 2013
  • This paper is the first paper among two papers which constitute the paper about the rigid body dynamic analysis on the spent nuclear disposal canister under accidental drop and impact on to the ground. This paper performed the general theoretical study on the rigid body dynamic analysis. Through this study the impulsive force which is occurring in the spent nuclear fuel disposal canister under accidental drop and impact to the ground and required for the structural safety design of the canister is intended to be theoretically formulated. The main content of the theoretical study is about the equation of motion in the multibody dynamics. On the basis of this study the impulsive force which is occurring in the multibody in the case of collision between multibody is theoretically formulated. The application of this theoretically formulated impulsive force to computing the impulsive force occurring in the spent nuclear fuel disposal canister under accidental drop and impact to the ground is investigated.

Calculation of Anchor's Terminal Velocity in the Water and Onshore Dropped Heights Using MDM Technique

  • Shin, Mun-Beom;Seo, Young-Kyo
    • Journal of Advanced Research in Ocean Engineering
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    • v.3 no.2
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    • pp.59-65
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    • 2017
  • When an anchor is dropped into the sea, there exists a danger of collision on the pipeline and subsea cables in the seabed. This collision could cause huge environmental disasters and serious economic losses. In order to secure the safety of subsea structures such as pipelines and subsea cables from the external impact, it is necessary to estimate the exact external force through the anchor's terminal velocity on the water. FLUENT, a computational fluid dynamic program, was used to acquire the terminal velocity and drag coefficient computation. A half-symmetry condition was used in order to reduce the computational time and a moving deforming mesh technique also adapted to present hydrostatic pressure. The results were examined with the equation based on Newton's Second Law to check the error rate. In this study, three example cases were calculated by stockless anchors of 5.25 ton, 10.5 ton, and 15.4 ton, and for the onshore experiment dropped height was back calculated with the anchor's terminal velocity in the water.

DISCRETE PARTICLE SIMULATION OF DENSE PHASE PARTICULATE FLOWS

  • Tsuji Y.
    • 한국전산유체공학회:학술대회논문집
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    • 2005.10a
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    • pp.11-19
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    • 2005
  • First, methods of numerical analysis of gas-particle flows is classified into micro, meso and macro scale approaches based on the concept of multi-scale mechanics. Next, the explanation moves on to discrete particle simulation where motion of individual particles is calculated numerically using the Newtonian equations of motion. The author focuses on the cases where particle-to-particle interaction has significant effects on the phenomena. Concerning the particle-to-particle interaction, two cases are considered: the one is collision-dominated flows and the other is the contact-dominated flows. To treat this interaction mathematically, techniques named DEM(Distinct Element Method) or DSMC (Direct Simulation Monte Carlo) have been developed DEM, which has been developed in the field of soil mechanics, is useful for the contact -dominated flows and DSMC method, developed in molecular gas flows, is for the collision-dominated flows. Combining DEM or DSMC with CFD (computer fluid dynamics), the discrete particle simulation becomes a more practical tool for industrial flows because not only the particle-particle interaction but particle-fluid interaction can be handled. As examples of simulations, various results are shown, such as hopper flows, particle segregation phenomena, particle mixing in a rotating drum, dense phase pneumatic conveying, spouted bed, dense phase fluidized bed, fast circulating fluidized bed and so on.

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CFD-DEM modeling of snowdrifts on stepped flat roofs

  • Zhao, Lei;Yu, Zhixiang;Zhu, Fu;Qi, Xin;Zhao, Shichun
    • Wind and Structures
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    • v.23 no.6
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    • pp.523-542
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    • 2016
  • Snowdrift formation on roofs should be considered in snowy and windy areas to ensure the safety of buildings. Presently, the prediction of snowdrifts on roofs relies heavily on field measurements, wind tunnel tests and numerical simulations. In this paper, a new snowdrift modeling method by using CFD (Computational Fluid Dynamics) coupled with DEM (Discrete Element Method) is presented, including material parameters and particle size, collision parameters, particle numbers and input modes, boundary conditions of CFD, simulation time and inlet velocity, and coupling calculation process. Not only is the two-way coupling between wind and snow particles which includes the transient changes in snow surface topography, but also the cohesion and collision between snow particles are taken into account. The numerical method is applied to simulate the snowdrift on a typical stepped flat roof. The feasibility of using coupled CFD with DEM to study snowdrift is verified by comparing the simulation results with field measurement results on the snow depth distribution of the lower roof.

Local Obstacle Avoidance Method of Mobile Robots Using LASER scanning sensor (레이저 스캐닝 센서를 이용한 이동 로봇의 지역 장애물 회피 방법)

  • Kim, Sung Cheol;Kang, Won Chan;Kim, Dong Ok;Seo, Dong Jin;Ko, Nak Yong
    • The Transactions of the Korean Institute of Electrical Engineers P
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    • v.51 no.3
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    • pp.155-160
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    • 2002
  • This paper focuses on the problem of local obstacle avoidance of mobile robots. To solve this problem, the safety direction section search algorithm is suggested. This concept is mainly composed with non-collision section and collision section from the detecting area of laser scanning sensor. Then, we will search for the most suitable direction in these sections. The proposed local motion planning method is simple and requires less computation than others. An environment model is developed using the vector space concept to determine robot motion direction taking the target direction, obstacle configuration, and robot trajectory into account. Since the motion command is obtained considering motion dynamics, it results in smooth and fast as well as safe movement. Using the mobile base, the proposed obstacle avoidance method is tested, especially in the environment with pillar, wall and some doors. Also, the proposed autonomous motion planning and control algorithm are tested extensively. The experimental results show the proposed method yields safe and stable robot motion through the motion speed is not so fast.

Minimum-Time Trajectory Planning Ensuring Collision-Free Motion for Two Robots : Neural Optimization Network Approach (신경 최적화 회로망을 이용한 두 대의 로보트를 위한 최소시간 충돌회피 경로 계획)

  • Lee, Ji-Hong;Bien, Zeung-Nam
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.27 no.10
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    • pp.44-52
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    • 1990
  • A collision-free trajectory planning for two robots with designated paths is considered. The proposed method is based on the concept of decomposing the planning problem into two steps: one is determining coordination of two robots, and the other is velocity planning with determined coordination. Dynamics and maximum allowable joint velocities are also taken into consideration in the whole planning process. The proposed algorithm is converted into numerical calculation version based on neural optimization network. To show the usefulness of proposed method, an example of trajectory planning for 2 SCARA type robot in common workspace is illustrated.

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