• 제목/요약/키워드: Coefficient of Restitution

검색결과 45건 처리시간 0.023초

마찰력이 개재된 강체역학에서 불일치의 해소 $-L\ddot{o}tstedt$의 미끄러지는 막대 (Resolving the Inconsistency of Rigid Body Frictional Mechanics $-L\ddot{o}tstedt$'s Sliding Rod)

  • 한인환
    • 대한기계학회논문집
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    • 제18권4호
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    • pp.866-875
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    • 1994
  • The problem of a rigid rod sliding on a rough horizontal surface in the plane is analyzed, which is commonly cited as an example of the inconsistency of rigid body frictional mechanics. The inconsistency is demonstrated by analyzing the normal reaction force at the contact point with the surface, and the concept of tangential collision is derived to resolve the inconsistency. Using the Poisson's hypothesis for the coefficient of restitution and Coulomb's law for the friction, the general methodology for solving the tangential collision is presented. The problem of the inconsistency generated in the sliding rod is completely resolved, building the concept of the tangential collision and adopting the theory of frictional impact. The result presented in this paper will obviate a generic obstacle to the development of simulation packages for planar rigid body mechanical systems with temporary contacts, and planning efficient motion strategies for robot manipulators.

와이어 충돌감쇠를 갖는 다공성 박판의 비선형 진동 해석 (Nonlinear Vibration Analysis of Porous Thin Plate with Wire Impact Damping)

  • 김성대;김원진;이부윤;이종원
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2001년도 추계학술대회논문집 I
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    • pp.341-348
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    • 2001
  • In this study, nonlinear vibration analysis of the cylindrical orthotropic porous thin plate under V-shaped tension distribution with wire impact damping is considered. We make dynamic model of the plate under the tension using commercial FEM code and reduce the number of its degrees of freedom using dynamic condensation. The dynamic model of wire is obtained as lumped mass model from string equation. And then we analyze the nonlinear vibration of the plate including the impact phenomenon between the plate and the wire using the reduced mass and stiffness matrices of the plate and lumped model of the wire. The contact phenomenon between them can be described by impact contact elements composed of contact stiffness coefficients from Hertzian contact theory and contact damping coefficients from restitution coefficient between them. And we discussed the results of nonlinear vibration analysis for variations of their design parameters.

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Optimum Vibration Angle for Transporting Granular Materials on Linear Conveyors

  • Keraita, James Nyambega
    • International Journal of Precision Engineering and Manufacturing
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    • 제9권2호
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    • pp.3-7
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    • 2008
  • Vibratory conveyors are widely used in industry to transport granular materials and products. A theoretical point mass model for vibratory conveying was studied. The results agreed well with experimental observations. The model theory included the resting, sliding and flight states of the material. Each state was considered separately when determining the equations of motion. For the coefficients of restitution, values of zero for the normal component and 0.8 for the tangential component were found to be appropriate for modeling the collisions of the granular particles with the conveying surface. The vibration angle had a large influence on the mode and rate of transport. There was an optimum vibration angle for a given set of conditions. The optimum vibration angle decreased and was better defined as the coefficient of friction increased. The results suggest the existence of an optimum dimensionless track acceleration (throw number), which does not support general industrial practice in which the track acceleration is limited when the feed cycle becomes erratic and unstable.

댐핑 와이어를 갖는 새도우 마스크의 해석모델에 대한 실험적 검증 (Experimental Verification of Analysis Model of the Shadow Mask with Damping Wires)

  • 김성대;김원진;이종원
    • 한국소음진동공학회논문집
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    • 제12권9호
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    • pp.731-737
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    • 2002
  • Nonlinear vibration of the CRT shadow mask with impact damping wires is analyzed in consideration of the mask tension distribution and the effect of wire impact damping. A reduced order FEM model of the shadow mask is obtained from dynamic condensation of the mass and stiffness matrices, and damping wire is modeled using the lumped parameter method to effectively describe its contact interactions with the shadow mask. The nonlinear contact-impact model is composed of spring and damper elements, of which parameters are determined from the Hertzian contact theory and the restitution coefficient, respectively. The analysis model of the shadow mask with damping wires is experimentally verified through impact tests of shadow masks performed in a vacuum chamber.

고주파 래틀링 소음의 기초 연구 (A Basic Study of High Frequency Rattling Noise)

  • 이금정;박철희;주재만
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 1998년도 춘계학술대회논문집; 용평리조트 타워콘도, 21-22 May 1998
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    • pp.88-93
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    • 1998
  • Since rattling noise, which occur in mechanical linkage with free play or glove boxes in passenger cars, play an important role in the generation of industrial noise and vibration, it is interest to study these dynamics. A difference equations are derived which described the motions of a mass constrained by pre-compressed spring and forced by a high frequency base excitation. Two types of saddle are founded from these difference equations and the stable and unstable manifolds are constructed in these saddle point. For a certain region in a parameter space of exciting displacement and coefficient of restitution, transversal intersections of stable and unstable manifolds exist. Therefore it is founded that there are large families of periodic and irregular non-periodic motions in rattling system i.e. chaos motion is observed.

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에어-드롭 해머와 카운터블로 해머 프레스 단조공정의 기계진동 비교해석 (Comparative Analysis of Mechanical Vibrations of an Air-Drop Hammer and a Counterblow Hammer in Forging Process)

  • 김수태;최영휴;주경진
    • 드라이브 ㆍ 컨트롤
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    • 제19권4호
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    • pp.10-18
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    • 2022
  • Air-drop hammer press and counterblow hammer press are widely used power-drop forging hammersemploying different forging blow mechanisms. It is important and necessary to analyze mechanical vibrations of these two different hammers in their forging processes in order to develop high performance forging hammers. In this study, these two forging hammers were mathematically modelled as mass-spring-damper systems. For these two different types of forging hammers, the forging efficiency and mechanical vibrations due to hammer forging blow were theoretically analyzed and compared. The force transmitted to the ground was also determined and compared. Especially, effects of mass ratio and restitution coefficient on forging efficiency were investigated.

Hertz 접촉 이론을 이용한 평판 구조물의 충돌 해석 (Impact Analysis of a plate structures Employing Hertzian Contact Theory)

  • 임홍석;유홍희
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2008년도 춘계학술대회논문집
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    • pp.383-388
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    • 2008
  • A modeling method for the impact analysis of plate structures employing Hertzian contact theory is presented in this paper. Since local deformation as well as bending deflection of the plate occurs due to the collision, it has to be considered for the impact analysis. When the coefficient of restitution is employed for the impact analysis, the local deformation is not considered. For more accurate and reliable impact analysis, however, the local deformation should be considered. The effects of the location of collision and the collision mass on the impact duration time and the contact force magnitude are investigated through numerical studies employing Hertzian contact theory.

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공기흐름 변경으로 임펠러의 수명연장과 전력비 절감을 위한 송풍기 개발을 위한 수치해석 (Numerical Analysis for the Development of a Blower to Extend the Life of the Impeller and Reduce Power Costs by Changing the Air Flow)

  • 김일겸;박우철;손상석;김용남
    • 한국산학기술학회논문지
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    • 제21권12호
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    • pp.192-199
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    • 2020
  • 본 연구는 요구되는 전압효율이 83% 이상인 풍량 10,000 ㎥/min급의 장수명 송풍기를 개발하기 위하여 송풍기 침식 현상을 조사하고, 수치해석을 통하여 송풍기 성능과 송풍기 침식을 예측하였다. 송풍기 해석에 주로 많이 사용되는 검증된 상용코드인 ANSYS CFX 13.0을 사용하여 수치해석을 수행하였다. 수치해석에 사용된 조건은 풍량 16,200 ㎥/min, 회전수 893 rpm, 온도 330 ℃이다. 분진의 비중은 3.15이고, 입도는 90㎛~212㎛이며, 양은 265kg/min으로 하였다. 송풍기로 유입되는 분진으로 인한 송풍기의 침식현상을 정확히 해석하기 위하여 수직복원계수의 변화에 따른 침식 현상을 실제 침식현상과 비교하였다. Finne 모델을 적용하여 수치해석을 수행한 결과 평형복원계수는 1, 수직복원계수는 0.1인 경우가 실제 침식현상과 유사하게 나타났다. Duct deflector가 침식에 관하여 미치는 영향을 살펴보기 위하여 Duct deflector가 있는 모델과 없는 모델을 비교하여 침식해석을 수행하였다. 수치해석의 결과, Duct deflector를 설치한 경우 Impeller에서 평균 167% 감소하고, Boss에서는 평균 133% 증가하는 경향으로 나타났다. Dust deflector의 길이에 따라 총 5가지 모델을 생성하고, 이에 대하여 침식 수치해석을 수행하였으며, 길이가 가장 긴 Case 5가 침식성능이 가장 우수한 것으로 나타났다. Case 5의 송풍기 성능은 회전수 880 rpm, 풍량 16,200 ㎥/min일 경우, 전압 691.7 mmAq와 전압효율 83.3%로 나타났다.

성인용 자전거의 승용차량 충돌특성 (Collision Characteristics of an Adult Bicycle to a Car)

  • 강대민;안승모
    • 한국기계가공학회지
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    • 제11권2호
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    • pp.92-97
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    • 2012
  • In the present the usage of bicycle has increased steeply due to well-being and convenient way of movement. In car to bicycle accident, the throw distance of bicycle is very important factor for estimating collision situation. In this study, simulations and collision tests in actual car to bicycle were executed for obtaining throw distance of bicycle. The simulations were executed by PC-CRASHTM s/w with vehicle of sedan type. Sand bags were used for the behavior of bicyclist instead of dummy and factors considered were vehicle velocity, the crashed angles and part of bicycle to vehicle, and bicycle was adult type. From the results, the throw distances of tire collision of 00 was longer than that of 450 tire crash, and the throw distances of 900 frame crash were longer than those of 450 frame crash. With based on actual crash tests and simulations, restitution coefficient of between vehicle and bicycle was estimated as 0.1. Finally the increaser vehicle velocity the longer the throw distances of bicycle and the simulation results were relatively good agreement to the results of experiment.

충격햄머드릴의 타격력 향상을 위한 연구 (A Study on Improving the Impact Force of Impact Hammer Drill)

  • 김재환;정재천;박병규;백복현
    • 소음진동
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    • 제7권4호
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    • pp.669-679
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    • 1997
  • This paper deals with a study of striker type impact hammer drill for improving the drilling performance. The study was performed through a numerical simulation of the impact hammer mechanism and an experimental comparison of the numerical simulation results was followed. Optimization of the impact mechanism was also performed. The numerical model of the impact hammer drill takes into account the striker motion and the effects of the pressure in the cylinder as well as the friction acting on the striker. The equation of motion is solved with the pressure equation in the cylinder including the friction force. The friction is considered as a combination of Coulomb friction and viscous damping friction. At the moment of impact, an ideal impact model that uses restitution coefficient is used to calculate the sudden change of the striker motion. The numerically simulated impact force shows a good agreement with the experimental result and thus, the validity of the numerical model is proven. Based upon the proposed model, an optimization was performed to improve the impact force of the hammer drill. The objective function is to maximize the impact force and the used design variables are striker mass, frequency of piston, bit guide mass, cylindrical diameter and dimensions of the mechanism components. Each design variable and some other conditions that are essential to manitain normal operation of the hammer drill are considered as constraints. The optimized result show a remarkable improvement in impact force and an experimental proof was investigated.

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