• Title/Summary/Keyword: Free Oscillation

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Nonlinear motion analysis of a two-link arm using first integrals

  • Yu, Kee-Ho;Takahashi, Takayuki;Inooka, Hikaru
    • 제어로봇시스템학회:학술대회논문집
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    • 1993.10b
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    • pp.507-512
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    • 1993
  • In this paper we discuss the nonlinear motion of a conservative two-link arm using first integrals, which includes one integral constant. In the analysis of the motion, the constant plays important role. First, we give some discussion on the free motion by focusing on the integral constant. As the result, the free motion can be classified into two types-the one is oscillation and the other is rotation. Second, we discuss the forced motion of the arm actuated only at the second joint. We take the first integral in a more general form, and show that the forced motion of the second link can be expressed as a variation of the integral constant. Also, the characteristic of the forced motion actuated by arbitrary constant torques is discussed.

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Vibration Analysis of an Amplitude Proportional Friction Damper System (변위비례식 마찰댐퍼 시스템의 진동해석)

  • 박동훈;최명진
    • Journal of the Korean Society for Precision Engineering
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    • v.20 no.5
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    • pp.171-179
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    • 2003
  • An Amplitude Proportional Friction Damper (APFD) is considered in order to improve the characteristics of Coulomb friction damper. The frictional force is proportional to the amplitude in APFD system and the system is non-linear as is Coulomb damper system. A free vibration analysis on the 1-DOF system has made to demonstrate the characteristics of the APFD system. The results show that APFD system has similar damping characteristics to the viscous damper. Also, the solution for the response of a base-excited system with APFD is developed through the application of a Fourier series to represent the frictional force of APFD. It is assumed that no stick-slips occur during any portion of the steady-state oscillation.

Sloshing Flow of Highly-Viscous Fluid in a Rectangular Box (사각용기에서 발생하는 고점성 유체의 슬로싱 유동)

  • park, Jun Sang
    • Journal of the Korean Society of Visualization
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    • v.17 no.3
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    • pp.39-45
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    • 2019
  • A study on the sloshing flow of highly-viscous fluid in a rectangular box was made by both of theoretical approach and experimental visualization method. Assuming a smallness of external forcing to oscillate the container, it was investigated a linear sloshing flow of highly-viscous fluid utilizing asymptotic analysis by Taylor-series expansion as a small parameter Re (≪1) in which Re denotes Reynolds number. The theory predict that, during all cycles of sloshing, a linear shape of free surface will prevail in a bulk zone and it has confirmed in experiment. The relevance of perfect slip boundary condition, adopted in theoretical approach, to the bulk zone flow at the container wall was tested in experiment. It is found that quasi-steady coated thin film, which makes a lubricant layer between bulk flow and solid wall, is generated on the wall and the film makes a role to perfect slip boundary condition.

Study of Surges in a Large-Diameter Subteranean Diversion Channel with Multiple Surge Tanks (대심도 지하관로 배수 시스템의 서어징 현상에 관한 연구)

  • Jeong, Gwang-Geun;Yeo, Un-Sik;An, Tae-Jin
    • Journal of Korea Water Resources Association
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    • v.31 no.6
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    • pp.757-768
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    • 1998
  • rate of outflow is equated to the total rate of flow, both the state equation and its linearized equation yield almost identical oscillations of water levels. This shows that effects of pipe resistance on the surges are small, and justifies a free oscillation analysis. Free oscillation equation has six eigen modes of different periods, including a rigid mode which is existed when the pumped rate of outflow differs from the total rate of inflow. The six modes constitute a variety of surges dependent on different inflow and outflow conditions. Presence of the rigid mode needs sophisticated pump operations adjusted to real flood inflows.

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Surface-Tension Effects on the Flow Caused by a Two-Dimensional Pulsating Source Moving with a Constant Speed beneath the Free Surface (전진하며 동요하는 2차원 특이점에 의하여 발생되는 자유표면파에 미치는 표면장력의 영향)

  • Hang-S.,Choi;Jae-S.,Choi
    • Bulletin of the Society of Naval Architects of Korea
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    • v.27 no.1
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    • pp.57-62
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    • 1990
  • This paper deals with the flow caused by a two-dimensional pulsating source, which moves with a constant horizontal speed beneath the free surface. The analysis is based on lincar potential theory including surface tension effects. In the case of subcritical reduced frequencies $\tau<1/4(\tau=U_{\omega}/g$, U=constant speed, $\omega$=circular frequency, g=gravitational acceleration), six wave components arc found. Two of them are largely affected by surface tension, which propagate ahead of the source in the direction of and opposite to the steady translation, respectively. The rest are almost identical with those found by Haskind(1954), i.e. for which the surface tension effect is negligible. For low oscillation frequencies, the resonant frequency still exists at $\tau$ only slightly greater than 1/4. For oscillation frequencies greater than $\nu(={\omega}^2/g)>20$, the surface tension effect is so significant that it disperses generated waves and consequently the singular phenomenon is removed. However, in addition to the gravity breaking, capillary breakings occur when the translation speed coincides with the minimum capillary celerity.

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Approximate Solution of Vertical Wave Board Oscillating in Submerged Condition and Its Design Application (수직 평판 요소의 수중동요 근사해와 설계 적용)

  • Oh, Jungkeun;Kim, Ju-Yeol;Kim, Hyochul;Kwon, Jongho;Lew, Jae-Moon
    • Journal of the Society of Naval Architects of Korea
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    • v.55 no.6
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    • pp.527-534
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    • 2018
  • The segment of the piston type wave board has been expressed as a submerged vertical line segment in the two dimensional wave flume. Either end of vertical line segment representing wave board could be located in fluid domain from free surface to the bottom of the flume. Naturally the segment could be extended from the bottom to the free surface of the flume. It is assumed that the piston motion of the wave board could be defined by the sinusoidal oscillation in horizontal direction. Simplified analytic solution of the submerged segment of wave board has been derived through the first order perturbation method in water of finite depth. The analytic solution has been utilized in expressing the wave generated by the piston type wave board installed on the upper or lower half of the flume. The wave form derived by the analytic solution have been compared with the wave profile obtained through the CFD calculation for the either of the above cases. It is appeared that the wave length and the wave height are coincided each other between analytic solution and CFD calculation. However the wave form obtained by CFD calculations are more closer to real wave form than those from analytic calculation. It is appeared that the linear solutions could be not only superposed by segment but also integrated by finite elements without limitation. Finally it is proven that the wave generated by the oscillation of flap type wave board could be derived by integrating the wave generated by the sinusoidal motion of the finite segment of the piston type wave board.

Application of Wind Tunnel Testing on the Dynamic Stability Derivatives of a Rocket Model (로켓 모델의 동안정미계수에 대한 풍동시험의 적용)

  • Cho, Hwan-Kee;Sung, Hong-Gye;Kim, Jin-Kon
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.40 no.10
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    • pp.888-893
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    • 2012
  • This paper described the wind tunnel testing apparatus and technique to acquire the dynamic stability derivatives of large slenderness ratio air vehicle such as the guided missiles or rockets. There have been few difficulties in conducting wind tunnel testing for slender long rocket due to the size limitation of the test section size and the installation of oscillation equipments. In this study, the dynamic stability balance was used as the wind tunnel technique for obtaining the dynamic stability derivatives. Through the wind tunnel testing, the experimental apparatus for slender air vehicle's oscillation is established. The measured data showed that it is possible to acquire the dynamic stability derivatives of large slenderness ratio rocket, properly.

Compact Range Detection Sensor by Oscillation Frequency Deviation of an Active Antenna (능동안테나의 발진주파수 편이에 의한 소형 거리 센서)

  • Yun, Gi-Ho
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.15 no.3
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    • pp.528-535
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    • 2011
  • In this paper, a compact doppler sensor with oscillator type active antenna operating at 2.4GHz frequency band is proposed to measure the distance to a moving object. The oscillation frequency is shifted depending on approaching of the object, and a detection circuit discriminates the frequency deviation. The active antenna has been designed and simulated. The prototype fabricated has a small circular disk type of diameter 30mm and height 4.2mm. As for antenna performance, broadside radiation pattern with beamwidth of $120^{\circ}$ and oscillation frequency of 2.35GHz has been measured. Test results as a range sensor shows that signal voltage of about 240mV has been obtained for conducting plate moving 1 meter away from the sensor. And, signal voltage has been linearly increased to the ground from 5m height by free-falling the sensor.

A Study on Flow-Induces Vibration of Tube Array in Uniform Crossflow(I) (균일 유동장내 튜브 배열의 유동관련 진동에 관한 연구 (I))

  • 이기백;김봉환;양장식;김문경;장석상
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.16 no.5
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    • pp.924-932
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    • 1992
  • This paper presents the results of an experimental study on the characteristics of the vortex- induced vibration of an elastically supported circular cylinder in the cross air flow. For a range of velocities, power spectral densities of the signals from a hot-wire anemometer placed in the wake of an oscillating circular cylinder and gap sensors placed in the both ends of a circular cylinder were obtained to determine vortex-shedding frequencies, natural frequencies and vibrating frequencies of a cylinder. The effects of slots in the test section on vortex shedding and cylinder oscillation were investigated. The present study covered the reduced velocity range 1.0 .leg. Ur .leg. 64.6. The response characteristics of the cylinder has been shown to vary extensively, depending on the slots in the test section as well as on the reduced velocity. For an elastically supported cylinder, a purely translation mode oscillation was observed at a low velocity, however a rotation mode oscillation was often superposed for higher velocities. These two oscillating frequencies were equal to their natural frequencies irrespective of the changes of free stream velocities.

Nonlinear Liquid Sloshing Analysis in a Cylindrical Container by Arbitrary Lagrangian-Eulerian Approach (Arbitrary Lagrangian-Eulerian 기법에 의한 원통형 유체저장구조물 내부유체의 비선형 슬러싱 해석)

  • Kwon, Hyung-O;Cho, Kyung-Hwan;Kim, Moon-Kyum;Lim, Yun-Mook
    • Journal of the Earthquake Engineering Society of Korea
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    • v.9 no.2 s.42
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    • pp.71-80
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    • 2005
  • The solution to a liquid sloshing problem is challenge to the field of engineering. This is not only because the dynamic boundary condition at the free surface is nonlinear, but also because the position of the free surface varies with time in a manner not known a priori. Therefore, this nonlinear phenomenon, which is characterized by the oscillation of the unrestrained free surface of the fluid, is a difficult mathematical problem to solve numerically and analytically. In this study, three-dimensional boundary element method(BEM), which is based on the so-called an arbitrary Lagrangian-Eulerian(ALE) approach for the fluid flow problems with a free surface, was formulated to solve the behavior of the nonlinear free surface motion. An ALE-BEM has the advantage to track the free surface along any prescribed paths by using only one displacement variable, even for a three-dimensional problem. Also, some numerical examples were presented to demonstrate the validity and the applicability of the developed procedure.