• 제목/요약/키워드: Hertz의 접촉 이론

검색결과 23건 처리시간 0.034초

강구의 충돌에 의한 양단자유 보의 진동 및 음향 방사에 관한 연구 (A Study on the Vibration and Acoustic Radiation from an Elastic Free- Free Beam due to a Steel Ball Impact)

  • 박홍철;이효근;박윤식
    • 대한기계학회논문집
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    • 제16권9호
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    • pp.1615-1626
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    • 1992
  • 본 연구에서는 배플이 없는 사각단면을 가진 양단자유의 탄성보에 강구가 횡 방향으로 충돌할 때 발생되는 음압을 M.Sakata와 M.Horii의 방법을 적용하여 구하였으 며, 보의 가속도는 모우드 해석기법을 적용하여 구하였다. 그리고 충돌시 발생되는 충격격과 접촉시간은 허즈(Hertz)접촉이론을 이용하였다.그리고 실험을 통하여 이 론으로 구한보의 가속도, 접촉시간, 방사음압의 결과와 비교하였다. 기존의 연구내 용을 기반으로한 본 논문의 기여부분은 hertz 접촉이론을 본 연구의 시스템에 적용하 여 접촉시간을 실험적으로 검증하였으며 모우드 해석기법을 이용하여 구한 보의 진동 을 실험과 비교하였고, 시스템을 탄성보로하여 M.Sakata의 방법을 적용하여 발생되는 음압을 실험으로 검증한 것이다.

Hertz 접촉이론을 이용한 사이클로이드 감속기의 비틀림 강성해석 (Torsional Stiffness Analysis of a Cycloid Reducer using Hertz Contact Theory)

  • 이상엽;박제승;안형준;한동철
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 2005년도 춘계학술대회 논문집
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    • pp.816-821
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    • 2005
  • The cycloid reducer has very high efficiency, high ratios, high stiffness and small size, in comparison with a conventional gear mechanism, which makes it an attractive candidate for limited space and precision application such as industrial robot. There are several publications on analysis and design of the cycloid reducer, however, it was assumed that the contact stiffness of pin rollers and cycloid disk is constant regardless of their contact geometry. Moreover, the torsional stiffness of the cycloid reducer couldn't be calculated due to the assumption. In this paper, we present a new procedure of calculating torsional stiffness of the cycloid reducer using Hertz contact theory. First, conventional force analysis of the cycloid reducer is briefly reviewed. Then, iterative numerical calculation procedure of the contact stiffness is proposed based on the Hertz contact theory where the contact stiffness depends on the contact force. In addition, total torsional stiffness of the cycloid reducer is estimated considering its rolling element bearing stiffness. The torsional stiffness of the cycloid reducer is dominated by the rolling element bearing stiffness since the contact stiffness of the cycloid disk is too large.

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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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Hertz 접촉이론을 이용한 탄성체의 충돌 해석을 위한 효율적 모델링에 관한 연구 (Study on an efficient modeling for the impact analysis of a flexible body employing Hertzian contact theory)

  • 임홍석;유홍희
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2008년도 추계학술대회A
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    • pp.838-843
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    • 2008
  • Since thickness deformation and lateral deflection often occurs during the collision of flexible bodies, they should be considered simultaneously in the impact analysis. The thickness deformation, however, cannot be considered in beam/shell theory since the thickness is assumed to be constant in the theory. So, solid elements are employed to estimate the thickness deformation. However, the CPU time increases significantly if solid elements are employed. In the present study, a modeling method for the impact analysis of a flexible body employing Hertzian contact theory is presented. The efficiency and the accuracy of the modeling method are discussed with some numerical examples.

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역동역학을 이용한 충격을 받는 보의 충격력 복원 및 충격모델의 변수 파악 (Impact Force Roconstruction and Impact Model Identification Using Inverse Dynamics of an Impacted Beam)

  • 박형순;박윤식
    • 대한기계학회논문집
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    • 제19권3호
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    • pp.623-630
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    • 1995
  • The impulse response functions (force-strain relations) for Euler-Bernoulli and Timoshenko beams are considered. The response of a beam to a transverse impact force is numerically obtained with the convolution approach using the impulse response function obtained by Laplace transform. Using this relation, the impact force history is determined in the time domain and results are compared with those from Hertz's contact law. The parameters of timpact force model are identified using the recovered force and compared with the Hertz's contact model. In order to verify the proposed algorithm, measurements were done using an impact hammer and a steel ball drop test and these results are also compared with the simulated values.

구름요소의 Waviness 를 고려한 볼베어링 해석 이론 (Analytical Theory of Ball Bearing Considering Waviness of Rolling Elements)

  • 정성원;장건희
    • 한국소음진동공학회논문집
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    • 제11권7호
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    • pp.275-286
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    • 2001
  • The research presents an analytical theory to calculate the characteristics of the bal bearing with waviness in its rolling elements considering the centrifugal force and gyroscopic moment of bal. The effects of centrifugal force and gyroscopic moment are introduced to the kinematic constraints and force equilibrium equations. and the waviness of rolling elements is modeled by sinusoidal function to calculate the contact force at each ball. The numerical solutions of governing equation of berating due to waviness are calculated by using the Newton-Raphson method. The accuracy of the research is validated by comparing the contact force. contact angle in case of considering the centrifugal force and gyroscopic moment of bal and the contact force and vibration frequencies in cases of considering waviness with the prior researches respectively. It investigates the stiffness, contact force. displacement and vibration frequencies of the ball bearing considering not only the centrifugal force and gyroscopic moment of ball but also the waviness of the rolling elements.

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철도차량용 휠과 레일의 접촉특성 및 응력 해석 (Contact Characteristic and Stress Analysis of Wheel-Rail for Rolling Stock)

  • 성기득;양원호;조명래;김철
    • 한국자동차공학회논문집
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    • 제8권5호
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    • pp.148-156
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    • 2000
  • In this paper, we investigate contact characteristic of wheel-rail interface for rolling stock using the finite element method. Contact stress distribution due to the rail mounting slope is obtained in order to reduce the contact stress. Stress analysis of the rail, firstly, is performed one subjected to elliptical pressure based on Hertz theory. Secondly, we perform stress analysis of the rail subjected to contact stress obtained by this study. Results for the maximum shear stress, its location and the principal shear stress distribution are compared.

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구와 평면간의 구름접촉거동에 관한 연구 (A Study on Rolling Contact Behaviors of a Flat Rough Surface with a Smooth Ball)

  • 김경모;정인성
    • 대한기계학회논문집
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    • 제14권3호
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    • pp.554-570
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    • 1990
  • 본 연구에서는 동적인 상태에서 구름접촉 거동을 좀더 명확히 하기 위해서 마 찰의 발생기구가 탄성이력손실에 기인한다는 이론을 기초로 압축 코일스프링을 이용한 감쇠자유진동시스템으로 구성된 실험장치에 의해서 구의 직경, 수직하중, 평면만의 표 면거칠기를 변화시켜 구름접촉면의 감쇠특성을 검토하고 이로부터 구름마찰력과 대수 감쇠율을 구한 다음 대수감쇠율과 진폭의 관계를 이용해서 실험에 의한 새로운 접촉폭 산출방법을 제시하고 Hertz이론에 의한 접촉폭과 마찰이론의 역학적 해석에 의한 접촉 폭과 비교, 분석해 보았다.

脆性材料의 衝擊應答에 관한 硏究 (A Study on the Impulsive Response of Fragile Meterials Based on an Analytical Study of Impulsive Stresses in a Square Glass Plate)

  • 양동율;김기환;양인영
    • 대한기계학회논문집
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    • 제12권3호
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    • pp.481-488
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    • 1988
  • 본 연구에서는 판이론으로서는 해석할수 없는 집중충격하중의 작용점을 포함 한 유한판(정방형판)의 충격응력을 이론적으로 해석하는 방법을 제안하고저 하며 포성 재료로서 손쉽게 구할수 있고 파괴에 큰 에너지가 소요되지 않은 유리판을 대상으로 하여 3차원 동탄성이론을 이용하여 강구의 고속충돌에 의해서 유리판에 발생하는 충격 응력을 해석하였다. 또한 3차원 동탄성이론에서는 Laplace역변환이 곤난하므로, 고 속 Fourier변환의 알고리즘을 이용하였으며, 충격하중의 크기는 실측이 곤난하여 Lag- range의 고유판이론과 Hertz의 접촉이론으로부터 결정하였으며 단순지지된 정방형유리 판에 고속충격을 가하여 계측된 변형율변동과 본이론해석 결과와를 비교하여 응력해석 방법의 적용성을 명확히 하였다.