• Title/Summary/Keyword: Spring Motion

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Validity of the Multiple Scale Solution for a Resonance Response of a Bar with a Nonlinear Boundary Condition (비선형 경계조건을 가진 봉의 공진응답을 위한 다중시간해의 타당성)

  • 이원경;여명환;배상수
    • Journal of KSNVE
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    • v.7 no.1
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    • pp.55-60
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    • 1997
  • In order to examine the validity of an asymptotic solution obtained from the method of multiple scales, we investigate a third-order subharmonic resonance response of a bar constrained by a nonlinear spring to a harmonic excitation. The motion of the bar is governed by a linear partial differential equation with a nonlinear boundary condition. The nonlinear boundary value problem is solved by using the finite difference method. The numerical solution is compared with the asymptotic solution.

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Stability Analysis of Pipe Conveying Fluid with Crack (크랙을 가진 유체유동 파이프의 안정성 해석)

  • Ahn, Tae-Su;Son, In-Soo;Yoon, Han-Ik
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2006.11a
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    • pp.865-868
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    • 2006
  • In this paper, a dynamic behavior(natural frequency) of a cracked simply supported pipe conveying fluid is presented. In addition, an analysis of the flutter and buckling instability of a cracked pipe conveying fluid due to the coupled mode (modes combined) is presented. Based on the Euler-Bernouli beam theory, the equation of motion can be constructed by using the Lagrange's equation. The crack section is represented by a local flexibility matrix connecting two undamaged beam segments. The stiffness of the spring depends on the crack severity and the geometry of the cracked section. The crack is assumed to be in the first mode of fracture and to be always opened during the vibrations. This study will contribute to the safety test and stability estimation of structures of a cracked pipe conveying fluid.

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A Study on the Support Toning Method of High-Speed Chip-Mounter (고속 표면실장기의 지지부 개선 방법에 관한 연구)

  • Oh, Chang-Kyun;Park, Heung-Keun;Park, Jin-Moo
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2006.11a
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    • pp.597-602
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    • 2006
  • In this paper, a proper support tuning method is established by identifying the dynamic characteristics of the machine, the floor. and the inertia force. Also, the limitation of a passive isolation is presented. To simplify the dynamic analysis and to establish a proper design method for supporting system, each of the machine and the floor is modeled as a single degree of freedom spring-mass-damper system under careful investigation of the dynamic characteristics of each system and appropriate assumptions. Then, the dynamic behavior of a 2DOF system and the effect of the mass and the damping are investigated. Also, the characteristics of motion profiles are investigated. In addition, a quasi-static analysis on the transmitted force through support is performed and related tests are performed.

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Study on Method of Crack Detection of L-beams with Coupled Vibration (연성진동하는 L형 단면 보의 크랙 검출 방법에 대한 연구)

  • Son, In-Soo;Cho, Jeong-Rae;Ahn, Sung-Jin
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.9 no.6
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    • pp.78-86
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    • 2010
  • This paper aims to investigate the natural frequency of a cracked cantilever L-beams with a coupled bending and torsional vibrations. In addition, a theoretical method for detection of the crack position and size in a cantilever L-beams is presented based on natural frequencies. Based on the Euler-Bernoulli beam theory, the equation of motion is derived by using extended Hamilton's Principle. The dynamic transfer matrix method is used for calculation of a exact natural frequencies of L-beams. In order to detect the crack of L-beams, the effect of spring coefficients for bending moment and torsional force is included. In this study, the differences between the actual data and predicted positions and sizes of crack are less than 0.5% and 6.7% respectively.

Dynamic Behavior of Timoshenko Beam with Crack and Moving Mass (크랙과 이동질량이 존재하는 티모센코 보의 동특성)

  • Yoon Han Ik;Choi Chang Soo;Son In Soo
    • Journal of the Korean Society for Precision Engineering
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    • v.22 no.1
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    • pp.143-151
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    • 2005
  • This paper study the effect of open cracks on the dynamic behavior of simply supported Timoshenko beam with a moving mass. The influences of the depth and the position of the crack in the beam have been studied on the dynamic behavior of the simply supported beam system by numerical method. Using Lagrange's equation derives the equation of motion. The crack section is represented by a local flexibility matrix connecting two undamaged beam segments i.e. the crack is modeled as a rotational spring. This flexibility matrix defines the relationship between the displacements and forces on the crack section and is derived by the applying fundamental fracture mechanics theory. As the depth of the crack is increased the mid-span deflection of the Timoshenko beam with the moving mass is increased. And the effects of depth and position of crack on dynamic behavior of simply supported beam with moving mass are discussed.

구속 받는 유연 매니퓨레이터의 병렬 위치/힘 제어

  • Kim, Jin-Soo;Uchiyama, Masaru
    • Journal of the Korean Society for Precision Engineering
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    • v.17 no.3
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    • pp.76-82
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    • 2000
  • 본 논문에서는 환경에 구속 받는 유연 매니퓨레이터의 힘/위치에 대하여 논하고자 한다. 일반적으로, 유연 매니퓨레이터의 모델링 방법은 분포 정수 모델과 집중 정수 모델로 분류할 수 있다. 전자인 분포 정수 모델을 이용해서는 평면 1 링크, 2 링크를 대상으로 한 위치/힘 제어는 가능하나, 운동 방정식의 복잡성으로 인하여 실시간에서 다 링크 다 관절 유연 매니퓨레이터의 힘/위치를 제어하기는 어렵게 여겨져 왔다. 본 논문에서는 집중 정수 모델링 방법인 집중 스프링 질량 모델(Lumped Spring Mass Model)을 이용하여 환경에 구속받는 유연 매니퓨레이터의 운동 방정식을 산출했다 이 모델을 실험기인 유연 매니퓨레이터 ADAM(Aerospace Dual Arm Manipulators)에 적용하여 실시간 위치/힘 제어 실험을 행하였으며, MATLAB를 이용하여 해석했다. 또한, ADAMS$^{TM}$ FEM를 이용하여 분포 정수 모델을 도출하여, 해석하였으며, 이 결과와 집중 정수 모델을 이용한 MATLAB 해석의 결과, 그리고 실험 결과를 비교 분석하여 본 논문에서 제안한 구속받는 유연 매니퓨레이터의 집중 정수 모델 타당성을 입증시켰다.

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Dynamical Mechanism Analysis of An Industrial Two-step Folding Automatic Door (2단 접이식 산업용 자동문의 동역학적 메카니즘 해석)

  • Yun, Seong-Ho
    • Journal of the Korean Society for Precision Engineering
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    • v.28 no.7
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    • pp.821-826
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    • 2011
  • This paper deals with an analysis of dynamic mechanism for the industrial two-step folding automatic door. A nonlinear equation of motion was derived in terms of folding angle to estimate driving forces. Based on this dynamic behavior, time taken during the door's opening well as their velocities were controlled so that the operating conditions can be obtained for the purpose of design. The stiffness of twisting spring was also investigated when the automatic door closed, because a dangerous accident takes place from the door's free falling. The current research will be a very useful tool in the near future for the dynamic analysis for the multi-step folding automatic door.

Dynamic Modeling of Satellite with Deployable Solar Arrays (인공위성 태양전지판 전개 시스템 동적 모델링)

  • Heo, Seok;Kwak, Moon-K.;Kim, Hong-B.;Moon, Sang-M.;Woo, Sung-H.;Lee, Sang-S.
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2002.11b
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    • pp.737-742
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    • 2002
  • This reaserch is concern with dynamic modeling of satellite with deployable solar arrays equipped with strain energy hinges(SEH). It is found from experiments that the SEH has the nonlinear dynamic characteristics and complex buckling behavior which is difficult to explain theoretically. In this paper, we use an equivalent one dimensional nonlinear torsional spring for the SEH. Lagrangian equations of motion are used for the derivations.

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Dynamic Analysis of ATM Double Bill Detector (ATM기 2매 검지부의 동적 해석)

  • Jeong, Joong-Ki;Suh, Jun-Ho;Baek, Yoon-Kil;Choi, Yeon-Sun
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.16 no.12 s.117
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    • pp.1208-1214
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    • 2006
  • ATM(automated-teller machine) is a machine that receives and pays money directly. The double bill detector(DBD) module of an ATM detects double bills from its thickness. In this paper, the dynamic behavior of the DBD was analyzed, which cannot be simulated correctly by a package program of SAMCEF. And the displacements of the lever was measured for various bills experimentally. The measured dynamic behaviors were analyzed kinematically using a vector equation and simulated dynamically by the derivation of equation of motion with consideration of damping and stiffness of the DBD and bills. The analysis showed that the spring constant of the system is not so influential, instead, the contact angle between the lever and bill needs to be larger than the existing DBD in order to be laster and reliable DBD.

$H{\infty}$-force control of a artificial finger with distributed force sensor and piezoelectric actuator (분포센서를 가진 인공지의 $H{\infty}$-힘제어)

  • ;;;;Seiji Chonan
    • Journal of KSNVE
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    • v.6 no.5
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    • pp.555-565
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    • 1996
  • This paper is concerned with the theoretical and experimental study on the force control of a miniature robotic finger that grasps an object at three other positions with the fingertip. The artificial finger is a uniform flexible cantilever beam equipped with a distributed set of compact grasping force sensors. Control action is applied by a piezoceramic bimorph strip placed at the base of the finger. The mathematical model of the assembled electro- mechanical system is developed. The distributed sensors are described by a set of concentrated mass-spring system. The formulated equations of motion are then applied to a control problem in which the finger is commanded to grasp an object. The H$_{\infty}$-controller is introduced to drive the finger. The usefulness of the proposed control technique is verified by simulation and experiment..

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