• Title/Summary/Keyword: equations of motion

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Steering and Driver Model to Evaluate the Handling and Stability Characteristics (조종안정성평가 시험을 위한 조향 및 운전자모델)

  • Tak, Tae-oh;Choi, Jae-min
    • Journal of Industrial Technology
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    • v.18
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    • pp.241-248
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    • 1998
  • In this study, a modeling method of power-assisted steering systems and driver models for vehicle dynamic analysis using AUTODYN7 is presented. Pressure-flow relations of flow control valve are derived, and the equations of motion of a steering gear are obtained. Combining pressure-flow relations and equations of motion, the steering force can be represented as a function of steering wheel angle or torque. Driver model was modeled based on a PID controller and forward target method. With the steering systems and driver model, various driving tests are conducted using AUTODYN7.

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Real-time Flow Animation Techniques Using Computational Fluid Dynamics (전산유체역학을 이용한 실시간 유체 애니메이션 기술)

  • Kang Moon Koo
    • Journal of the Korean Society of Visualization
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    • v.2 no.2
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    • pp.8-15
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    • 2004
  • With all the recent progresses in computer hardware and software technology, the animation of fluids in real-time is still among the most challenging issues of computer graphics. The fluid animation is carried out in two steps - the physical simulation of fluids immediately followed by the visual rendering. The physical simulation is usually accomplished by numerical methods utilizing the particle dynamics equations as well as the fluid mechanics based on the Navier-Stokes equations. Particle dynamics method is usually fast in calculation, but the resulting fluid motion is conditionally unrealistic. The methods using Navier-Stokes equation, on the contrary, yield lifelike fluid motion when properly conditioned, yet the complexity of calculation restrains this method from being used in real-time applications. This article presents a rapid fluid animation method by using the continuum-based fluid mechanics and the enhanced particle dynamics equations. For real-time rendering, pre-integrated volume rendering technique was employed. The proposed method can create realistic fluid effects that can interact with the viewer in action, to be used in computer games, performances, installation arts, virtual reality and many similar multimedia applications.

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An Investigation of Dynamic Stability of Self-Compensating Dynamic Balancer (자기보상 동적균형기의 동적안정성 연구)

  • Lee, Jongkil
    • Journal of KSNVE
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    • v.4 no.4
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    • pp.435-442
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    • 1994
  • Self-Compensating Dynamic Balancer (SCDB) is composed of a circular disk with a groove containing spherical balls and a low viscosity damping fluid. To investigate the stability of the motion equations these equations are perturbed and the resulting perturbation equations are analyzed further to determine whether the perturbations grow or decay with dimensionless time. Based on the results of stability investigation, ball positions that result in a balanced system are stable above the critical speed for .betha.' = 3.8. At critical speed the perturbed motion is said to be stable for .betha.' = 23. However, the system is unstable below critical speed in any case of .betha.'.

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One to one Resonance on the Rectangular Cantilever Beam (사각형 외팔보에서의 일대일 공진)

  • Kim, Myoung-Gu;Pak, Chul-Hui;Cho, Chong-Du;Lee, Heung-Shik
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2005.05a
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    • pp.424-429
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    • 2005
  • In this paper, the response characteristics of one to one resonance on the rectangular cantilever beam in which basic harmonic excitations are applied by nonlinear coupled differential integral equations are studied. This equations have 3-dimensional non-linearity of nonlinear inertia and nonlinear curvature. Galerkin and multi scale methods are used for theoretical approach to one to one internal resonance. Nonlinear response characteristics of 1st, 2nd, 3rd modes are measured from the experiment for basic harmonic excitation. From the experimental result, geometrical terms of nonlinearity display light spring effect and these terms play an important role in the response characteristics of low frequency modes. Dynamic behaviors in the out of plane are also studied.

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Inverse Dynamic Analysis of A Flexible Robot Arm with Multiple Joints by Using the Optimal Control Method (최적 제어기법을 이용한 다관절 유연 로보트팔의 역동역학 해석)

  • Kim, C.B.;Lee, S.H.
    • Journal of the Korean Society for Precision Engineering
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    • v.10 no.3
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    • pp.133-140
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    • 1993
  • In this paper, we prpose a method for tracking optimally a spatial trajectory of the end-effector of flexible robot arms with multiple joints. The proposed method finds joint trajectories and joint torques necessary to produce the desired end-effector motion of flexible manipulator. In inverse kinematics, optimized joint trajectories are computed from elastic equations. In inverse dynamics, joint torques are obtained from the joint euqations by using the optimized joint trajectories. The equations of motion using finite element method and virtual work principle are employed. Optimal control is applied to optimize joint trajectories which are computed in inverse kinematics. The simulation result of a flexible planar manipulator is presented.

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Inverse Dynamics for the Tip Position Control of the Transiational Motion Flexible Arm (병진 운동 탄성암의 선단 위치제어를 위한 역동역학)

  • 방두열;이성철;장남정이;저강광
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1991.11a
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    • pp.155-159
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    • 1991
  • This paper is a study on the Inverse dynamics of a one-1ink flexible robot arm which is control led by the transiational base motion. The system is composed of the flexible arm, the mobil stage, a DC servomotor, and a computer. The arm base is shifted so that the tip follows a desired path function. The tip Rotten is measured by the laser displacement sensor. The governing equations are based on the Bernoullie-Euler beam theory and solved by applying the Laplace transform method and then the numerical inversion method to the resulted equations. Tip responses obtained both theoretically and experimentally are in good agreement with the desired trajectory, which shows that the scheme of inverse dynamics is effective for the open-loop endpoint positioning of the flexible am driven by the translation stage.

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One to One Resonance on the Quadrangle Cantilever Beam (정사각형 외팔보에서의 일대일 공진)

  • Kim, Myoung-Gu;Pak, Chul-Hui;Cho, Chong-Du
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.15 no.7 s.100
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    • pp.851-858
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    • 2005
  • The response characteristics of one to one resonance on the quadrangle cantilever beam in which basic harmonic excitations are applied by nonlinear coupled differential-integral equations are studied. This equations have 3-dimensional non-linearity of nonlinear inertia and nonlinear curvature. Galerkin and multi scale methods are used for theoretical approach to one-to-one internal resonance. Nonlinear response characteristics of 1st, 2nd, 3rd modes are measured from the experiment for basic harmonic excitation. From the experimental result, geometrical terms of non-linearity display light spring effect and these terms play an important role in the response characteristics of low frequency modes. Nonlinear nitration in the out of plane are also studied.

Dynamic Modeling of Transmission Line Galloping Vibrations (송전선 갤러핑 진동에 대한 동적 모델링 연구)

  • Kwak, Moon K.;Koo, Jae-Ryang;Bae, Yong-Chae
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2014.10a
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    • pp.518-522
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    • 2014
  • This paper is concerned with the dynamic modeling of transmission line undergoing galloping vibrations. To this end, the kinetic and potential energies of a uniform wire vibrating in space are derived. The equations of motion suitable for numerical simulations are derived using the assumed mode method and Lagrange equation. The resulting equations of motion are expressed in matrix form. To cope with bundled transmission line, the spacer was modelled by a spring element. As a numerical example, a two-wire transmission line combined by spacers was considered. Natural vibration characteristics show that the in-plane vibrations of the transmission line appeared in low frequency range, which may lead to galloping.

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Parametrically excited viscoelastic beam-spring systems: nonlinear dynamics and stability

  • Ghayesh, Mergen H.
    • Structural Engineering and Mechanics
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    • v.40 no.5
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    • pp.705-718
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    • 2011
  • The aim of the investigation described in this paper is to study the nonlinear parametric vibrations and stability of a simply-supported viscoelastic beam with an intra-span spring. Taking into account a time-dependent tension inside the beam as the main source of parametric excitations, as well as employing a two-parameter rheological model, the equations of motion are derived using Newton's second law of motion. These equations are then solved via a perturbation technique which yields approximate analytical expressions for the frequency-response curves. Regarding the main parametric resonance case, the local stability of limit cycles is analyzed. Moreover, some numerical examples are provided in the last section.

Vibration Analysis of a Deploying and Spinning Beam with a Time-dependent Spinning Speed (시간에 따라 변하는 회전 속도와 함께 회전하며 전개하는 보의 진동 분석)

  • Zhu, Kefei;Chung, Jintai
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.25 no.12
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    • pp.874-880
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    • 2015
  • This paper presents the vibration analysis of a deploying beam with spin when the beam has a time-dependent spinning speed. In the previous studies for the deploying beams with spin, the spinning speed was time-independent. However, it is more reasonable to consider the time-dependent spinning speed. The present study introduces the time-dependent spinning speed in the modeling. The Euler-Bernoulli beam theory and von Karman nonlinear strain theory are used together to derive the equations of motion. After the equations of motion are transformed into the weak forms, the weak forms are discretized. The natural frequency and dynamic response are obtained. The effect of the time-dependent spinning speed on the dynamic response is studied.