• Title/Summary/Keyword: dynamic eccentric motion

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Dynamic analysis of a beam subjected to an eccentric rolling disk

  • Wu, Jia-Jang
    • Structural Engineering and Mechanics
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    • v.47 no.4
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    • pp.455-470
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    • 2013
  • This paper presents a theory concerning the beam element subjected to an eccentric rolling disk (or simply called the eccentric-disk-loaded beam element) such that the dynamic responses of a beam subjected to an eccentric rolling disk with its inertia force, Coriolis force and centrifugal force considered can be easily determined. To this end, the property matrices of an eccentric-disk-loaded beam element are firstly derived by means of the Lagrange's equations. Then, the overall property matrices of the entire vibrating system are determined by directly adding the property matrices of the eccentric-disk-loaded beam element to the overall ones of the entire beam itself. Finally, the Newmark direct integration method is used to solve the equations of motion for the dynamic responses of a beam subjected to an eccentric rolling disk. Some factors relating to the title problem, such as the eccentricity, radius and rotating speed of the rolling disk, and the Coriolis force and centrifugal force induced by the rolling disk are investigated. Numerical results reveal that the influence of last factors on the dynamic responses of the pinned-pinned beam is significant except the centrifugal force.

Review of characteristics of the isotonic combination: Importance of eccentric training (등장성 수축 결합기법의 특성에 대한 고찰 - 원심성 훈련의 중요성 -)

  • Kim, Mi-hyun;Bae, Sung-soo
    • PNF and Movement
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    • v.2 no.1
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    • pp.25-33
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    • 2004
  • Purpose : The purpose of this article is to summarize the characteristics of isotonic combination. Method : Some studies of the motor unit activation patterns during isometric, concentric, and eccentric actions, neural strategies in the control of muscle force, and concentric versus combined concentric-eccentric training were reviewed. Results & Conclusions : Eccentric torque may be relatively higher than concentric torque for two potential reasons: 1) stretch responses in the antagonist are not elicited to restrain the motion as can occur concentrically and 2) stretch responses in the agonist may augment eccentric torque production. Concentric-eccentric training has a greater influence on functional capacity than that of concentric training. Both maximal force and average force throughout the motion were significantly higher when the dynamic action was started with preactivation as compared to the mode without preactivation. The peak torques observed during the concentric phase of the eccentric-concentric muscle actions were higher than those noted in the pure concentric contraction.

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The Comparison of Low Intensity Eccentric Exercise and Dynamic Stretching on Delayed Onset Muscle Soreness (저강도 원심성 운동과 동적 스트레칭이 지연성 근육통에 미치는 효과 비교)

  • Lee, Su-Young;Kim, Ji-Yoon
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.13 no.10
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    • pp.4676-4685
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    • 2012
  • We investigated to compare the effects of a low intensity eccentric exercise and dynamic stretching on symptoms of delayed onset muscle soreness (DOMS). The eighteen women who had not participated in a regular exercise programme for the lower extremities in the previous five months were randomly assigned to one of three experimental groups: control group, a low intensity eccentric exercise group and dynamic stretching group. We measured the joint range of motion (ROM), maximal voluntary isometric exercise (MVIC), muscle soreness rating scale and ultrasound image measurement before eccentric exercise inducing DOMS, and 24, 48, and 72 hours after an eccentric exercise inducing DOMS. The exercise programme in a low intensity eccentric exercise group and dynamic stretching group were respectively performed 3 times a week for 4 weeks before eccentric exercise inducing DOMS. There was significantly different between the groups in muscle soreness rating scale and MVIC (p<.05). However, there was not significantly different between groups in ultrasound image measurement and ROM (p<.05). These results suggest that a low intensity eccentric exercise group and dynamic stretching group effectively reduced muscle soreness rating scale out of the symptoms of DOMS. A low intensity eccentric exercise group may be an effective improvement than dynamic stretching group in muscle soreness rating scale.

Vibration Analysis of Planetary Fixed Outer-ring Type Cycloidal Speed Reducer by using Multi-body Modeling (다물체 모델링을 이용한 2단 유성식 외륜 고정형 사이클로이드 감속기의 진동특성분석)

  • Kim, Hong Ki;Lee, Ki Bok;Yoo, Hong Hee
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.23 no.3
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    • pp.234-239
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    • 2013
  • There are many types of speed reducer for industrial uses. However the cycloid speed reducer is widely used in manipulators based on excellent performance of low backlash, high reduction ratio and compact size. It is essential to use precision speed reducer for accuracy of position controls on robot systems and electric vehicles. The cycloid speed reducer has a eccentric rotating motion and offset to avoid some problem of assembly, so it has a disadvantage for vibration. In this paper, a multi-body dynamic model is developed for a cycloid speed reducer and the dynamic behaviors of the reducer are investigated. The cycloid speed reducer consists of cycloidal plate gears, housing gear, input shaft, output pin and shaft, and eccentric bearings. Using a CAD program, each component of cycloid reducer is modeled based on the offset and eccentric. Multi-body simulations using Recurdyn and test using a rig tester are performed. As a result, the pin reaction force and the amplitude of housing displacement are increased by the larger offset and smaller eccentric value of cycloid reducer.

Mathieu stability of offshore Buoyant Leg Storage & Regasification Platform

  • Chandrasekaran, S.;Kiran, P.A.
    • Ocean Systems Engineering
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    • v.8 no.3
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    • pp.345-360
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    • 2018
  • Increasing demand for large-sized Floating, Storage and Regasification Units (FSRUs) for oil and gas industries led to the development of novel geometric form of Buoyant Leg Storage and Regasification Platform (BLSRP). Six buoyant legs support the deck and are placed symmetric with respect to wave direction. Circular deck is connected to buoyant legs using hinged joints, which restrain transfer of rotation from the legs to deck and vice-versa. Buoyant legs are connected to seabed using taut-moored system with high initial pretension, enabling rigid body motion in vertical plane. Encountered environmental loads induce dynamic tether tension variations, which in turn affect stability of the platform. Postulated failure cases, created by placing eccentric loads at different locations resulted in dynamic tether tension variation; chaotic nature of tension variation is also observed in few cases. A detailed numerical analysis is carried out for BLSRP using Mathieu equation of stability. Increase in the magnitude of eccentric load and its position influences fatigue life of tethers significantly. Fatigue life decreases with the increase in the amplitude of tension variation in tethers. Very low fatigue life of tethers under Mathieu instability proves the severity of instability.

Analysis of Cantilevered Structure Rotating on an Eccentric Axis (외팔보형 구조물의 편심축 회전운동 해석)

  • 조지현;윤신일;한상보
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2001.05a
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    • pp.115-120
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    • 2001
  • A gyroscope is a rotating body possessing one axis of symmetry and whose rotation about the symmetry axis is relatively large compared with the rotation about any other axis. Tuning fork is this type of structure that various modem gyro-sensors are based on. In this paper, dynamic behavior of a cantilevered beam subjected ta a base rotation with respect to the eccentric axis that is parallel to the beam axis is analyzed. The final equations of motion in terms of generalized coordinates can be solved with numerical scheme with various values of angular velocities and angular accelerations of the rotating axis. In contrast to the case of rotating cantilever beam like helicopter blade, the rotational motion with respect to the beam axis has effect to decrease the stiffness of the beam and has unstable region depending on the magnitude of the rotational angular velocity and angular acceleration.

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Dynamic Analysis of a Tilted HDD Spindle System due to Roundness (진원도 오차를 고려한 스핀들 시스템의 동적 특성 해석)

  • Koak, Kyu-Yeol;Jang, Gun-Hee
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2007.11a
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    • pp.840-846
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    • 2007
  • This paper investigates the dynamic behavior of a HDD spindle system due to the imperfect roundness of a rotating shaft. The shaft of a spindle motor rotates with eccentricity by the unbalanced mass of the rotating part. The eccentricity generates the run-out of a spindle motor which results in the eccentric motion of a rotating part. Roundness of a shaft affects this motion which limits the memory capacity of a HDD. This research proposes a modified Reynolds equation for the coupled journal and thrust FDBs to include the variable film thickness due to the roundness. Finite element method is used to solve the Reynolds equation for the pressure distribution. Reaction forces and friction torque are obtained by integrating the pressure and shear stress, respectively. The dynamic behavior is determined by solving the equations of a motion of a HDD spindle system in six degrees of freedom with the Runge-Kutta method to characterize the motion of a rotating part. This research shows that the roundness of a rotating shaft causes the excitation frequency with integer multiple of a rotating frequency.

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Hydrodynamic Lubrication Analysis of a Small Rotary Compressor (소형 회전식 압축기의 동수압적 윤활해석)

  • 송기선;장시열;한동철
    • Tribology and Lubricants
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    • v.4 no.1
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    • pp.74-80
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    • 1988
  • For an analytic investigation on the dynamic behaviour of the eccentric piston and roller in the cylinder of small rotary vane compressors the hydrodynamic lubrication theory is opplied, analogous to the dynamic analysis of a engine bearing. An adequate modification of the equation of journal motion permits stable convergencies of the numeric calculation of the journal orbits. The increase of the outer diameter of the roller and the eccentricity of the piston gives a relative large decrease of the minimum gap between the roller and cylinder.

On triply coupled vibration of eccentrically loaded thin-walled beam using dynamic stiffness matrix method

  • Ghandi, Elham;Shiri, Babak
    • Structural Engineering and Mechanics
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    • v.62 no.6
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    • pp.759-769
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    • 2017
  • The effect of central axial load on natural frequencies of various thin-walled beams, are investigated by some researchers using different methods such as finite element, transfer matrix and dynamic stiffness matrix methods. However, there are situations that the load will be off centre. This type of loading is called eccentric load. The effect of the eccentricity of axial load on the natural frequencies of asymmetric thin-walled beams is a subject that has not been investigated so far. In this paper, the mentioned effect is studied using exact dynamic stiffness matrix method. Flexure and torsion of the aforesaid thin-walled beam is based on the Bernoulli-Euler and Vlasov theories, respectively. Therefore, the intended thin-walled beam has flexural rigidity, saint-venant torsional rigidity and warping rigidity. In this paper, the Hamilton‟s principle is used for deriving governing partial differential equations of motion and force boundary conditions. Throughout the process, the uniform distribution of mass in the member is accounted for exactly and thus necessitates the solution of a transcendental eigenvalue problem. This is accomplished using the Wittrick-Williams algorithm. Finally, in order to verify the accuracy of the presented theory, the numerical solutions are given and compared with the results that are available in the literature and finite element solutions using ABAQUS software.

Multibody modeling and Analysis on Difference of Pin-reaction Force and Vibration caused by Offset in Fixed Outer Ring Type Cycloidal Speed Reducer (다물체 모델링을 이용한 외륜 고정형 Cycloid 감속기의 Offset에 의한 핀반력 및 진동차이 분석)

  • Kim, Hong Ki;Lee, Ki Bok;Yoo, Hong Hee
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.22 no.11
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    • pp.1057-1063
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    • 2012
  • A cycloid speed reducer is a type of the speed reducers. The cycloid speed reducer has a eccentric rotating motion and offset to avoid some problem of assembly, so it has a disadvantage for vibration. In this paper, a multi-body dynamic model is developed for a cycloid speed reducer and the dynamic behaviors of the reducer are investigated. The cycloid speed reducer consists of cycloidal plate gears, housing gear, input shaft, output pin and shaft, and eccentric bearings. Using a CAD program, each component of cycloid reducer is modeled based on the offset and multi-body simulations are performed using Recurdyn. As a result, the pin reaction force and the amplitude of bearing displacement are increased by the offset.