• Title/Summary/Keyword: Time-to-collision

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Eigenfunctions for Liouville Operators, Classical Collision Operators, and Collision Bracket Integrals in Kinetic Theory Made Amenable to Computer Simulations

  • Eu, Byung-Chan
    • Bulletin of the Korean Chemical Society
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    • v.33 no.3
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    • pp.779-789
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    • 2012
  • In the kinetic theory of dense fluids the many-particle collision bracket integral is given in terms of a classical collision operator defined in the phase space. To find an algorithm to compute the collision bracket integrals, we revisit the eigenvalue problem of the Liouville operator and re-examine the method previously reported [Chem. Phys. 1977, 20, 93]. Then we apply the notion and concept of the eigenfunctions of the Liouville operator and knowledge acquired in the study of the eigenfunctions to cast collision bracket integrals into more convenient and suitable forms for numerical simulations. One of the alternative forms is given in the form of time correlation function. This form, on a further manipulation, assumes a form reminiscent of the Chapman- Enskog collision bracket integrals, but for dense gases and liquids as well as solids. In the dilute gas limit it would give rise precisely to the Chapman-Enskog collision bracket integrals for two-particle collision. The alternative forms obtained are more readily amenable to numerical simulation methods than the collision bracket integrals expressed in terms of a classical collision operator, which requires solution of classical Lippmann-Schwinger integral equations. This way, the aforementioned kinetic theory of dense fluids is made fully accessible by numerical computation/simulation methods, and the transport coefficients thereof are made computationally as accessible as those in the linear response theory.

A Study on the Techniques to Evaluate Carbody Accelerations after a Train Collision (충돌 후 열차의 차체 가속도 평가 기법 연구)

  • Kim, Joon-Woo;Koo, Jeong-Seo
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.20 no.5
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    • pp.477-485
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    • 2010
  • In this study, we suggested several approaches to evaluate the collision acceleration of a carbody under the article 16 of the Korean rolling stock safety regulations. There are various methods to evaluate the rigid body accelerations such as the displacement comparison method by double integration of filtered acceleration data, the velocity comparison method by direct integration of filtered acceleration data, and the analysis method of a velocity-time curve. We compared these methods one another using the 1D dynamic simulation model of Korean high-speed EMU composed of nonlinear springs or bars, dampers, and masses. From the simulation results, the velocity-time curve analysis method and the displacement comparison method are recommended to filter high frequency oscillations and evaluate the maximum and average accelerations of a carbody after a train collision.

A Study on Techniques for Evaluating Collision Acceleration of Rollingstock (열차의 충돌가속도 크기를 평가하기 위한 방법 연구)

  • Kim, Woon-Gon;Kim, Geo-Young;Koo, Jeong-Seo
    • Proceedings of the KSR Conference
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    • 2009.05b
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    • pp.233-237
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    • 2009
  • In this study, we suggest that several approaches to evaluate the collision acceleration value of a car in the article 35 and the guideline 16 of Korean rolling stock safety regulation. There are various methods to evaluate collision acceleration such as; a displacement comparison method by the double integration of filtered acceleration data, a velocity comparison method by the integration of filtered acceleration data, an analysis method of time-velocity curve, or a differential method of time-velocity curve. We compared these methods one another using 1D dynamic simulation model composed of nonlinear dampers, springs and bars, and masses. Also, we applied these methods to a hybrid model, which is made of 3D shell element model and 2D collision dynamics model, in order to evaluate whether 1D force-displacement curve modeling for energy absorbing structures have an effect on the collision acceleration levels or not.

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Recursive Probabilistic Approach to Collision Risk Assessment for Pedestrians' Safety (재귀적 확률 갱신 방법을 이용한 보행자 충돌 위험 판단 방법)

  • Park, Seong-Keun;Kim, Beom-Seong;Kim, Eun-Tai;Lee, Hee-Jin;Kang, Hyung-Jin
    • Journal of the Korean Institute of Intelligent Systems
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    • v.21 no.4
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    • pp.475-480
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    • 2011
  • In this paper, we propose a collision risk assesment system. First, using Kalman Filter, we estimate the information of pedestrian, and second, we compute the collision probability using Monte Carlo Simulations(MCS) and neural network(NN). And we update the collision risk using time history which is called belief. Belief update consider not only output of Kalman Filter of only current time step but also output of Kalman Filter up to the first time step to current time step. The computer simulations will be shown the validity of our proposed method.

A Constraint-based Technique for Real-Time Game Physics Engine (제약 조건 기반의 실시간 게임 물리엔진 제작기법)

  • Lee, Min-Kyoung;Kim, Young-J.
    • 한국HCI학회:학술대회논문집
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    • 2008.02a
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    • pp.174-177
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    • 2008
  • In 3D gaming environment, it is important to simulate the physically plausible behaviors of gaming objects in real time. In particular, rigid body dynamics consists in the heart of most game physics. In this paper, we present a constraint-based rigid body simulation method using continuous collision detection as a collision detection method, and LCP formulation as a collision response method. The continuous collision detection method never misses any collisions and thus is able to accurately report the first time of collision as well as its associated colliding features. Moreover, since the number of colliding features is typically low, it also reduces the complexity in the LCP formulation.

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A Modification of the Approach to the Evaluation of Collision Risk Using Sech Function

  • Jeong, Tae-Gweon;Chao, Chen
    • Proceedings of the Korean Institute of Navigation and Port Research Conference
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    • v.1
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    • pp.83-88
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    • 2006
  • Evaluation of collision risk plays a key role in developing the expert system of navigation and collision avoidance. This paper presents a new collision risk model formula that is one modification model on the basis of one approach to the evaluation of collision risk using sech function produced by Prof. Jeong in his relevant $articles^{[2][3][4][5]}$. And as a grope in collision risk evaluation field, this paper applied the new model in appraising the collision risk, suggested how to decide the safe range of own ship’'s action. Moreover this paper also analyzed theoretically how to determine the coefficients as describes in the new modification model formula, and suggested the appropriate values as applicable.

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A Modification of the Approach to the Evaluation of Collision Risk Using Sech Function

  • Jeong, Tae-Gwoen;Chao, Chen
    • Journal of Navigation and Port Research
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    • v.31 no.2
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    • pp.121-126
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    • 2007
  • Evaluation of collision risk plays a key role in developing the expert system of navigation and collision avoidance. This paper presents a new collision risk model formula that is one modification model on the basis of one approach to the evaluation of collision risk using sech function produced in earlier studies. And as a tool of the evaluation field of ship collision, this paper applied the new model in appraising the collision risk and represented how to decide the safe range of own ship's action. Moreover this paper also analyzed theoretically how to determine the coefficients as described in the new modification model, and suggested the appropriate values as applicable.

Collision Avoidance Based on Null Space Projection for a Nonholonomic Mobile Manipulator (비홀로노믹 모바일 매니퓰레이터의 영공간 투영에 기반한 충돌 회피)

  • Kim, KyeJin;Yoon, InHwan;Song, Jae-Bok
    • The Journal of Korea Robotics Society
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    • v.17 no.1
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    • pp.32-39
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    • 2022
  • Since the mobile platform and the manipulator mounted on it move at the same time in a mobile manipulator, the risk of mutual collision increases. Most of the studies on collision avoidance of mobile manipulators cannot be applied to differential drive type mobile platforms or the end-effector tends to deviate from the desired trajectory for collision avoidance. In this study, a collision avoidance algorithm based on null space projection (CANS) that solves these two problems is proposed. To this end, a modified repulsive force that overcomes the non-holonomic constraints of a mobile platform is generated by adding a virtual repulsive force in the direction of its instantaneous velocity. And by converting this repulsive force into a repulsive velocity and applying it to the null space, the end-effector of the robot avoids a collision while moving along its original trajectory. The proposed CANS algorithm showed excellent performance through self-collision avoidance tests and door opening tests.

A Real-Time Collision-Free Trajectory Planning and Control for a Car-Like Mobile Robot (이동 로봇을 위한 실시간 충돌 회피 궤적 계획과 제어)

  • 이수영;이석한;홍예선
    • Journal of Institute of Control, Robotics and Systems
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    • v.5 no.1
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    • pp.105-114
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    • 1999
  • By using the conceptual impedance and the elasticity of a serial chain of spring-damper system, a real-time collision-free trajectory generation algorithm is proposed. The reference points on a trajectory connected by the spring-damper system have a mechanism for self-Position adjustment to avoid a collision by the impedance, and the local adjustment of each reference point is propagated through the elasticity to a real robot at the end of the spring-damper system. As a result, the overall trajectory consisting of the reference points becomes free of collision with environmental obstacles and efficient having the shortest distance as possible. In this process, the reference points connected by the spring-damper system take role of virtual robot as global guidance for a real robot, and a cooperative optimization is carried out by the system of virtual robots. A control algorithm is proposed to implement the impedance for a car-like mobile robot.

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Simultaneous Burst and Burst Control Packet Transmission Protocol for Optical Burst Switching Ring Networks

  • Park, Joon-Pyo;Lee, Man-Seop
    • ETRI Journal
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    • v.29 no.1
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    • pp.116-119
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    • 2007
  • In this letter, we design a collision resolution protocol for optical burst switching ring networks to avoid burst collision. We define the offset time condition for no burst transmission collision and manage the free time list of nodes for no burst reception collision. In order to improve the throughput, we use a fiber delay line, void-filling, and void-compression. This protocol does not require any additional procedures for bandwidth reservation such as centralized assignment of bandwidth, lightpath setup of WDM ring networks, or token capturing for the burst transmission. The simulation results show that the proposed protocol can achieve high throughput while saving 70% of wavelengths when compared to round robin with random selection, round robin with persistent, and round robin with non-persistent with only destination delay.

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