• 제목/요약/키워드: hertz contact

검색결과 113건 처리시간 0.025초

有限要素法을 이용한 齒車의 接觸 應力 解析 (An Analysis of the Contact Problem between Mating Involute Gear Teeth Using Finite Element Method)

  • 이대희;최동훈;임장근;윤갑영
    • Tribology and Lubricants
    • /
    • 제4권2호
    • /
    • pp.28-35
    • /
    • 1988
  • A general and efficient algorithm is proposed for the analysis of the frictionless elastic contact problems. It utilizes a simplex-type algorithm with a modified entry rule and incoporates finite element method to obtain flexibility matrices. The algorithmic solution is compared with the Hertzian solution for the contact problem between two cylinders to prove its accuracy and the contact problem between pin and piston rod is solved and compared with the numerical results of Frankavilla and Zienkiewicz to demonstrate the generality and effectiveness of the suggested algorithm. The contact problem between mating involute gear teeth at the worst load position is considered. The computed contact stress is smaller than the result of Hertz's theory applied to the contact between two kinematically equivalent discs and the contact area is larger than that of Hertz's theory.

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

  • 성기득;양원호;조명래;김철
    • 한국자동차공학회논문집
    • /
    • 제8권5호
    • /
    • pp.148-156
    • /
    • 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.

  • PDF

INTEGRAL EQUATIONS WITH CAUCHY KERNEL IN THE CONTACT PROBLEM

  • Abdou, M.A.
    • Journal of applied mathematics & informatics
    • /
    • 제7권3호
    • /
    • pp.895-904
    • /
    • 2000
  • The contact problem of two elastic bodies of arbitrary shape with a general kernel form, investigated from Hertz problem, is reduced to an integral equation of the second kind with Cauchy kernel. A numerical method is adapted to determine the unknown potential function between the two surfaces under certain conditions. Many cases are derived and discussed from the work.

FFT를 이용한 Hertz Contact 해석 (Analysis of Hertzian Contact using Fast Fourier Transform)

  • 구영필;조용주
    • 한국윤활학회:학술대회논문집
    • /
    • 한국윤활학회 1998년도 제27회 춘계학술대회
    • /
    • pp.131-138
    • /
    • 1998
  • In this study, a numerical procedure to solve a contact problem has been developed. The procedure takes the advantage of signal processing technique in frequency domain to achieve the shorter computer processing time. The Boussinesq's equation was adopted as the response function. This procedure is applicable to the non-periodic surface profile as well as the periodic one. The validity of this procedure has been established by comparing the numerical results with the exact solutions. The effectiveness of this procedure is lied on the shorter computing time than any other contact analysis algorithm.

  • PDF

소형 수문용 랙-피니언의 접촉 피로수명 (Contact Fatigue Life of Rack-Pinion for Small-Sized Sluice Gate)

  • 권순만
    • 한국생산제조학회지
    • /
    • 제26권3호
    • /
    • pp.299-305
    • /
    • 2017
  • Gate-lifting devices in small- to mid-sized sluice gates mostly employ the mechanical roller rack pinion (RRP) system. This RRP system, which consists of a rack-bar and a pinion, transforms a rotation motion into a linear one. The rack-bar has a series of roller trains that mesh with the pinion. In this study, we adopt an exact involute-trochoid tooth profile of the pinion to obtain a higher contact fatigue strength using the profile modification coefficient. Further, we determine the contact forces and investigate Hertz contact stresses to predict the pitting life of the pinion according to varying the shape design parameters. The results indicate that the design fatigue life of an RRP system for sluice gate can be achieved only when the design value of the profile modification coefficient reaches or exceeds a certain level.

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

  • 임홍석;유홍희
    • 한국소음진동공학회:학술대회논문집
    • /
    • 한국소음진동공학회 2008년도 춘계학술대회논문집
    • /
    • pp.383-388
    • /
    • 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.

  • PDF

A Modeling of Impact Dynamics and its Application to Impact Force Prediction

  • Ahn Kil-Young;Ryu Bong-Jo
    • Journal of Mechanical Science and Technology
    • /
    • 제19권spc1호
    • /
    • pp.422-428
    • /
    • 2005
  • In this paper, the contact force between two colliding bodies is modeled by using Hertz's force-displacement law and nonlinear damping function. In order to verify the appropriateness of the proposed contact force model, the drop type impact test is carried out for different impact velocities and different materials of the impacting body, such as rubber, plastic and steel. In the drop type impact experiment, six photo interrupters in series close to the collision location are installed to measure the velocity before impact more accurately. The characteristics of contact force model are investigated through experiments. The parameters of the contact force model are estimated using the optimization technique. Finally the estimated parameters are used to predict the impact force between two colliding bodies in opening action of the magnetic contactor, a kind of switch mechanism for switching electric circuits.

탄성 변형된 저어널의 편심과 베어링 부시의 부분경사를 고려한 선미관 후부 베어링의 압력분포 해석 (Pressure Analysis of Sterntube after Bush Bearing Considering Elastic Deflection of Misaligned Journal and Partial Slope of Bearing Bush)

  • 정준모;최익흥
    • 대한조선학회논문집
    • /
    • 제44권6호
    • /
    • pp.666-674
    • /
    • 2007
  • It is very important to estimate static squeezing pressure distributions for lining material of sterntube after bearing at dry dock stage since the maximum squeezing pressure value can be one of the significant characteristics representing coming navigation performances of the propulsion system. Moderate oil film pressure between lining material and propulsion shaft is also essential for safe ship service. In this paper, Hertz contact theory is explained to derive static squeezing pressure. Reynolds equation simplified from Navier-Stokes equation is centrally differentiated to numerically obtain dynamic oil film pressures. New shaft alignment technology of nonlinear elastic multi-support bearing elements is also used in order to obtain external forces acting on lining material of bearing. For 300K DWT class VLCC with synthetic bush of sterntube after bearing, static squeezing pressures are calculated using derived external forces and Hertz contact theory. Optimum partial slope of the after bush is presented by parametric shaft alignment analyses. Dynamic oil film pressures are comparatively evaluated for partially bored and unbored after bush. Finally it is proved that the partial slope can drastically reduce oil film pressure during engine running.