• Title/Summary/Keyword: Planar Motion Model

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Analysis of the Snake Motion of a Machine Tool Cross Head Assembly Travelling on Parallel Linear Motion Guides Using a Planar 2-D.O.F. Model (평면 2자유도 모델을 이용한 LMG 상에서 이동되는 Cross Head의 사행동 해석)

  • 최영휴;김성훈;정택수;장은성
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 2001.10a
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    • pp.111-116
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    • 2001
  • In this paper, a simple 2 D.O.F. planar motion model is proposed in order to analyze the snake motion of a machining center cross head assembly, that is travelling on linear guide rails. In the proposed mathematical model, the friction between head and guide ways is neglected, and also the support structures including guide rails, rear- and side-panels of the machining center are assumed to be rigid. The equations of motion of the proposed model are derived and successfully solved to determine vibration responses of the head assembly due to some applied traction forces.

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Roll Motion Analysis of a 3 D.O.F. Planar Car Model using Instantaneous Centers (순간중심을 이용한 평면 3 자유도 자동차 모델의 롤 운동 해석)

  • Lee, Jae-Kil;Shim, Jae-Kyung
    • Transactions of the Korean Society of Automotive Engineers
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    • v.14 no.4
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    • pp.92-98
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    • 2006
  • In this paper, a planar car model with 3 degrees of freedom was analyzed using the concept of the roll center. To avoid ambiguity, force components which require experimental data were excluded. Only kinematic approach was used to find the position and orientation of the vehicle body and the position of the roll center. The roll center was found by the pole with infinitesimal movement and Kennedy-Aronhold theorem. Centrodes, which are the loci of instantaneous centers of planar motion, were constructed with analyzed results to show characteristics of vehicle body motion. To verify the presented analysis method in this paper, the locus of the roll center and the motion of a 3 D.O.F. planar car model were compared with those of the 1 D.O.F. model.

Kinematic Modeling of a Car-like Planar Mobile Robot with Four Fixed Wheels (네 개의 고정 바퀴가 장착된 자동차 구를 평면형 모바일 로봇의 기구학 모델링)

  • Lee, Seung-Eun;Kim, Hui-Guk;Lee, Byeong-Ju
    • Journal of the Korean Society for Precision Engineering
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    • v.19 no.7
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    • pp.28-35
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    • 2002
  • This paper deals with kinematic modeling of a car-like planar mobile robot consisting of four conventional fixed wheels attached on two parallel axles. The kinematic model of such a mobile robot requires the description of skidding and sliding frictional motion. Previous kinematic model proposed by Muir and Newman$^{[1]}$ does not include such frictional motions. Thus, does it result in least square solution in estimating a sensed forward velocity solution. A modified kinematic model is proposed by incorporating transnational friction motion into the original algorithm. It is shown that transnational friction motions should be included into kinematic model of the mobile robot to represent its real physical motion.

Maneuvering simulation of an X-plane submarine using computational fluid dynamics

  • Cho, Yong Jae;Seok, Woochan;Cheon, Ki-Hyeon;Rhee, Shin Hyung
    • International Journal of Naval Architecture and Ocean Engineering
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    • v.12 no.1
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    • pp.843-855
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    • 2020
  • X-plane submarines show better maneuverability as they have much longer span of control plane than that of cross plane submarines. In this study, captive model tests were conducted to evaluate the maneuverability of an X-plane submarine using Computational Fluid Dynamics (CFD) and a mathematical maneuvering model. For CFD analysis, SNUFOAM, CFD software specialized in naval hydrodynamics based on the open-source toolkit, OpenFOAM, was applied. A generic submarine Joubert BB2 was selected as a test model, which was modified by Maritime Research Institute Netherlands (MARIN). Captive model tests including propeller open water, resistance, self-propulsion, static drift, horizontal planar motion mechanism and vertical planar motion mechanism tests were carried out to obtain maneuvering coefficients of the submarine. Maneuvering simulations for turning circle tests were performed using the maneuvering coefficients obtained from the captive model tests. The simulated trajectory showed good agreement with that of free running model tests. From the results, it was proved that CFD simulations can be applicable to obtain reliable maneuvering coefficients for X-plane submarines.

Spring Connected Size-Variable Rigid Block Model for Automatic Synthesis of a Planar Linkage Mechanism (평면 링크기구 자동 설계를 위한 스프링 연결 사이즈 가변 블록 모델)

  • Kim, Bum-Suk;Yoo, Hong-Hee
    • Proceedings of the KSME Conference
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    • 2008.11a
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    • pp.822-826
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    • 2008
  • A linkage mechanism is a device to convert an input motion into a desired output motion. Traditional linkage mechanism designs are based on trial and error approaches so that size or shape changes of an original mechanism often result in improper results. In order to resolve these problems, an improved automatic mechanism synthesis method that determines the linkage type and dimensions by using an optimization method during the synthesis process has been proposed. For the synthesis, a planar linkage is modeled as a set of rigid blocks connected by zero-length translational springs with variable stiffness. In this study, the sizes of rigid blocks were also treated as design variables for more general linkage synthesis. The values of spring stiffness and the size of rigid block yielding a desired output motion at the end-effecter are found by using an optimization method.

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Estimation of Hydrodynamic Derivatives of Submarine Model by Using VPMM Test (VPMM 시험을 이용한 잠수함 모형의 유체력 미계수 추정)

  • Jung, Jin-Woo;Jeong, Jae-Hun;Kim, In-Gyu;Lee, Seung-Keon
    • Journal of Navigation and Port Research
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    • v.38 no.2
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    • pp.97-103
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    • 2014
  • In these days, the world has been increasing navy forces such as aircraft carriers and high-tech destroyers etc. and the importance of submarines is being emphasized. Therefore, accurate values of the derivatives in equations of motion are required to control motion of the submarines. Hydrodynamic derivatives were measured by the vertical planar motion mechanism(VPMM) model test. VPMM equipment gave pure heave and pitch motion respectively to the submarine model and the forces and moments were acquired by load cells. As a result, the hydrodynamic derivatives of the submarine are provided through the Fourier analysis of the forces and moments in this paper.

Experimental Study on Hydrodynamic Coefficients of Autonomous Underwater Glider Using Vertical Planar Motion Mechanism Test (VPMM 시험을 통한 무인 수중 글라이더 모형의 동유체력 계수 추정에 관한 연구)

  • Jung, Jin-Woo;Jeong, Jae-Hun;Kim, In-Gyu;Lee, Seung-Keon
    • Journal of Ocean Engineering and Technology
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    • v.28 no.2
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    • pp.119-125
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    • 2014
  • A vertical planar motion mechanism(VPMM) test was used to increase the prediction accuracy for the maneuverability of an underwater glider model. To improve the accuracy of the linear hydrodynamic coefficients, the analysis techniques of a pure heave test and pure pitch test were developed and confirmed. In this study, the added mass and damping coefficient were measured using a VPMM test. The VPMM equipment provided pure heaving and pitching motions to the underwater glider model and acquired the forces and moments using load cells. As a result, the hydrodynamic coefficients of the underwater glider could be acquired after a Fourier analysis of the forces and moments. Finally, a motion control simulation was performed for the glider control system, and the results are presented.

Planar Motion Mechanism Test of the Mobile Harbor Running in Design Speed in Circulating Water Channel

  • Yoon, Hyeon-Kyu;Kang, Joo-Nyun
    • Journal of Navigation and Port Research
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    • v.34 no.7
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    • pp.525-532
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    • 2010
  • Mobile Harbor (MH) is a new transportation platform that can load and unload containers onto and from very large container ships at sea. It could navigate near harbors where several vessels run, or it could navigate through very narrow channels. In the conceptual design phase when the candidate design changes frequently according to the various performance requirements, it is very expensive and time-consuming to carry out model tests using a large model in a large towing tank and a free-running model test in a large maneuvering basin. In this paper, a new Planar Motion Mechanism(PMM) test in a Circulating Water Channel (CWC) was conducted in order to determine the hydrodynamic coefficients of the MH. To do this, PMM devices including three-component load cells and inertia tare device were designed and manufactured, and various tests of the MH such as static drift test, pure sway test, pure yaw test, and drift-and-yaw combined test were carried out. Using those coefficients, course-keeping stability was analyzed. In addition, the PMM tests results carried out for the same KCS (KRISO container ship) were compared with our results in order to confirm the test validity.

Study on the Estimation of Autonomous Underwater Vehicle's Maneuverability Using Vertical Planar Motion Mechanism Test in Self-Propelled Condition (자항상태 VPMM 시험을 통한 무인잠수정 조종성능 추정에 관한 연구)

  • Park, Jongyeol;Rhee, Shin Hyung;Lee, Sungsu;Yoon, Hyeon Kyu;Seo, Jeonghwa;Lee, Phil-Yeob;Kim, Ho Sung;Lee, Hansol
    • Journal of the Society of Naval Architects of Korea
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    • v.57 no.5
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    • pp.287-296
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    • 2020
  • The present study aims to improve the accuracy of the maneuvering simulations based on captive model test results. To derive the hydrodynamic coefficients in a self-propelled condition, a mathematical maneuvering model using a whole vehicle model was established. Captive model tests were carried out using the Vertical Planar Motion Mechanism (VPMM) equipment. A motor controller was used to control the constant propeller revolution rate during pure motion tests. The resistance tests, self-propulsion tests, static drift tests, and VPMM tests were performed in the towing tank of Seoul National University. When the vertical drift angle changes, the gravity load on the sensors were changed. The hydrodynamic forces were deduced by subtracting the gravity load from the measured forces. The hydrodynamic coefficients were calculated using the least-square method. The simulation of the turning circle test was compared with the free-running model test result, and the error of the turning radius was 8.3 % compared to the free-running model test.

Analysis on Active spring effect in human-body having redundant actuation with application to motion frequency (여유구동을 지닌 인체의 능동스프링 현상에 대한 해석과 운동주파수 제어방식으로의 적용)

  • Yi, Byung-Ju
    • Journal of Institute of Control, Robotics and Systems
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    • v.5 no.8
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    • pp.977-989
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    • 1999
  • The purpose of this study is to analyze how the human body having more muscles than its degree-of-freedom modulates an effective stiffness using redundant actuation, and to apply this concept to the design and control of advanced machines which requires adaptable spring. To investigate the adaptable stiffness phenomenon due to redundant actuation in the human body, this paper derives a general stiffness model of the Human body. In particular, for a planar 1 DOF human arm model, a planar 2 DOF human arm model, a spherical 3 DOF shoulder model, a 4 DOF human arm model, and a 7 DOF human arm model, the required nonlinear geometry ad the number of required actuator for successful modulation of the effective stiffness are analyzed along with a load distribution method for modulation of the required stiffness of such systems. Secondly, the concept of motion frequency modulation is introduced to show the usefulness of adaptive stiffness modulation. The motion frequency modulation represents a control of stiffness and / or inertia properties of systems. To show the effectiveness of the proposed algorithm, simulations are performed for 2 DOF anthropomorphic robot.

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