• 제목/요약/키워드: Coulomb friction

검색결과 226건 처리시간 0.023초

일반화된 Hoek-Brown 파괴기준식을 만족하는 최소주응력의 해석적 근사식 (Approximate Analytical Formula for Minimum Principal Stress Satisfying the Generalized Hoek-Brown Failure Criterion)

  • 이연규
    • 터널과지하공간
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    • 제31권6호
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    • pp.480-493
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    • 2021
  • 일반화된 Hoek-Brown(GHB) 파괴기준식은 GSI 값을 이용하여 현장 암반조건이 반영된 강도정수 값을 효과적으로 결정할 수 있기 때문에 암반공학 분야에서 표준 파괴기준식의 하나로 인식되고 있다. 그러나 GHB 파괴기준식의 비선형적 형태는 이 식의 수학적 취급을 어렵게 하고 이 식의 적용 범위를 제약하는 요인이 되고 있다. GHB 파괴기준식의 이러한 단점을 극복하기 위한 노력의 하나로 Taylor 다항함수 근사원리를 적용하여 파괴 최대주응력에 대응하는 최소주응력을 근사적으로 계산할 수 있는 명시적, 해석적 수식을 유도하였다. 근사식으로 구한 최소주응력과 수치해석적으로 계산한 정해를 비교하여 이 연구에서 유도한 최소주응력 근사식의 정확성을 검증하였다. 연구결과의 응용사례를 제시하기 위해 근사 최소주응력 계산식을 활용하여 GHB 암반에 굴착된 원형터널 주변에 예상되는 소성영역의 등가 마찰각과 등가 점착력을 계산하였다. 소성영역의 등가 Mohr-Coulomb 강도정수를 정밀하기 산정하기 위해서는 mi, GSI, 초기지압의 크기를 동시에 고려하는 것이 중요한 것으로 나타났다.

트라이포드 타입 등속조인트의 다물체 동역학 해석 (Multi-body Dynamic Analysis for Tripod Constant Velocity Joint)

  • 송명의;임영훈;조희제;배대성
    • 한국자동차공학회논문집
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    • 제18권1호
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    • pp.1-7
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    • 2010
  • The paper proposes a multi-body dynamic simulation to numerically evaluate the generated axial force(G.A.F) and plunging resistant force(P.R.F) practically related to the shudder and idling vibration of an automobile. A numerical analysis of two plunging types of CV joints, tripod joint(TJ) and very low axial tripod joint(VTJ), is conducted using the commercial program DAFUL. User-defined subroutines of a friction model illustrating the contacted parts of the outboard and inboard joint are subsequently developed to overcome the numerical instability and improve the solution performance. The Coulomb friction effect is applied to describe the contact models of the lubricated parts in the rolling and sliding mechanisms. The numerical results, in accordance with the joint articulation angle variation, are validated with experimentation. The offset between spider and tulip housing is demonstrated to be the critical role in producing the 3rd order component of the axial force that potentially causes the noise and vibration in vehicle. The VTJ shows an excellent behavior for the shudder when compared with TJ. In addition, a flexible nonlinear contact analysis coupled with rigid multi-body dynamics is also performed to show the dynamic strength characteristics of the rollers, housing, and spider.

Analysis of Ship Groundings on Soft Sea Beds

  • Simonsen, B. Cerup;Redersen, P. Terndrup
    • Journal of Ship and Ocean Technology
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    • 제1권1호
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    • pp.35-47
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    • 1997
  • The consequences associated with ships running aground depend very much on the soil characteristics of the sea bed and the geometrical shape of the ship bow. The penetration into the sea bed depends on these factors and the penetration is an important factor for the ship motion because it influences the ship heave and pitch motions as well as the friction between the ship and the soil. In this paper a rational calculation model is presented for the sea bed soil reaction forces on the ship bottom. The model is based on the assumption that the penetration of the ship bow generates a flow of pore water through the grain skeleton of the soil. The flow is governed by Darcy\`s law and it is driven by the pressure of the pore water at the bow. In addition to this pore water pressure, the bow is subjected to the effective stresses in the grain skeleton at the bow surface. These stresses are determined by the theory of frictional soils in rupture. Frictional stresses on the bow surface are assumed to be related to the normal pressure by a simple Coulomb relation. The total soil reaction as a function of velocity and penetration is found by integration of normal pressure and frictional stresses over the surface of the bow. The analysis procedure is implemented in a computer program for time domain rigid body analysis of ships running aground and it is verified in the paper through a comparison of calculated stopping lengths, effective coefficients of friction, and sea bed penetrations with corresponding experimental results obtained by model tests as well as large, scale tests.

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민항기 door damper용 칼날형 댐핑 오리피스의 설계 (Design of Sharp-edged Type Damping Orifices for an Aircraft Door Damper)

  • 홍예선;권용철;김종혁;박설혜;박호열;김상범
    • 한국항공우주학회지
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    • 제40권12호
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    • pp.1080-1085
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    • 2012
  • 본 논문에서는 작동유의 최대 동점성 계수가 400cSt까지 변하는 조건에서 항공기 도어 댐퍼용 칼날형 댐핑 오리피스를 설계하였다. 전산 유동 해석과 실험을 통하여 칼날 오리피스의 유량계수를 분석하였고, 오리피스의 크기와 칼날 각도, 유동방향, 레이놀즈수가 미치는 영향을 고려하였다. 이 결과를 바탕으로 오리피스의 크기에 따라 댐퍼의 성능 기준을 충족시키기 위해 제한해야 하는 댐퍼의 쿨롱 마찰력 범위를 유도하였다.

개별요소법을 이용한 핵석층의 물성 산정 : 화강암질 편마암 지역에 분포하는 핵석층의 예

  • 유승학;박영도;김기석;박현익;서영호;박연준
    • 한국암반공학회:학술대회논문집
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    • 한국암반공학회 2007년도 춘계학술발표회 논문집
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    • pp.130-139
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    • 2007
  • We have carried out numerical compression experiments to estimate the mechanical properties (Mohr-Coulomb and elastic) of corestone-bearing saprolites in Beolgyo area. The studied saprolite, consisting of mechanically much stronger corestone and weaker matrix, is a weathering product of the Precambrian granitic gneiss in the Youngnam massif. Since the saprolite consists of larger corestones with diameter up to 2m, it is impossible to directly measure the mechanical properties by physical experiments. We have measured the mechanical properties of corestone and matrix from naturally occurring saprolite and have used them as a reference for our numerical model. Then, we mixed each material and carried out biaxial compression tests while varying the volume percentage of corestones from 0 to 57%. We found that both cohesion and internal friction angle increase with the volume percentage of corestones while elastic modulus remains constant. We found the results from numerical experiments are in contradiction to what is known from physical experiments using artificial saprolites. This may be due to a possibility that the sharp and discrete nature of interface between corestone and matrix in physical experiments differs from the gradual interfacial nature in numerical modelling and natural saprolites.

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차량 저속 추돌의 연속 접촉력 모델 (Continuous Contact Force Model for Low-Speed Rear-End Vehicle Impacts)

  • 한인환
    • 한국자동차공학회논문집
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    • 제14권4호
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    • pp.181-191
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    • 2006
  • The most common kind of vehicular accident is the low-speed rear-end impact that result in high portion of insurance claims and Whiplash Associated Disorders(WAD). The low-speed collisions have specific characteristics that differ from high speed collisions and must be treated differently This paper presents a simple continuous contact force model for the low-speed rear-end impact to simulate the accelerations, velocities and the contact force as functions of time. A smoothed Coulomb friction force is used to represent the effect of braking, which was found to be significant in simulating low-speed rear end impact. The intervehicular contact force is modeled using nonlinear damping and spring elements with coefficients and exponents. This paper presents how to estimate analytically stiffness and damping coefficients. The exponent of the nonlinear contact force model was determined to match the overall acceleration pulse shape and magnitude. The model can be used to determine ${\Delta}Vs$ and peak accelerations for the purpose of accident reconstruction and for injury biomechanics studies.

주파수영역방법에 의한 비선형 모델변수의 실험적 규명 (Experimental identification of nonlinear model parameter by frequency domain method)

  • 김원진
    • 대한기계학회논문집A
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    • 제22권2호
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    • pp.458-466
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    • 1998
  • In this work, a frequency domain method is tested numerically and experimentally to improve nonlinear model parameters using the frequency response function at the nonlinear element connected point of structure. This method extends the force-state mapping technique, which fits the nonlinear element forces with time domain response data, into frequency domain manipulations. The force-state mapping method in the time domain has limitations when applying to complex real structures because it needd a time domain lumped parameter model. On the other hand, the frequency domain method is relatively easily applicable to a complex real structure having nonlinear elements since it uses the frequency response function of each substurcture. Since this mehtod is performed in frequency domain, the number of equations required to identify the unknown parameters can be easily increased as many as it needed, just by not only varying excitation amplitude bot also selecting excitation frequency domain method has some advantages over the classical force-state mapping technique in the number of data points needed in curve fit and the sensitivity to response noise.

벌칙방법에 의한 마찰 접촉문제의 강소성 유한요소 모델링 (Rigid-Plastic FE Modeling of Frictional Contact Problems based on a Penalty Method)

  • 장동환;황병복
    • 소성∙가공
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    • 제12권1호
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    • pp.34-42
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    • 2003
  • This paper presents a rigid-plastic finite element method to handle the frictional contact problem between two deformable bodies experiencing large deformation. The variational formulation combined with incremental quasi-static model is employed for treating the contact boundary condition. The frictional behavior of the model obeys Coulomb's law of friction. The proposed contact algorithms are classified into two categories, one for searching contacting nodes and the other for calculating contact forces at the contact surface. A slave node and master contact segment are defined using the geometric condition of finite elements on the contact interface. The penalty parameter is used to limit the penetration between contacting bodies, and the finite elements are coupled with contact boundary elements.us gates and cavity thicknesses. Through this study we have observed that the jetting is related to the die swell of material. This means that the jotting is strongly affected by the elastic flow property rather than the viscous flow property in viscoelastic characteristics of molten polymer. Different resins have different elastic properties, and elastic flow behavior depends on the shear rate of flow, i.e. injection speed. Large die swell would eliminate jetting however, the retardation of die swell would stimulate jetting. In the point of mole design, reducing the thickness ratio of cavity to gate can reduce or eliminate jetting regardless of amount of elasticity of polymer melt.

Modeling of cyclic bond deterioration in RC beam-column connections

  • Picon-Rodriguez, Ricardo;Quintero-Febres, Carlos;Florez-Lopez, Julio
    • Structural Engineering and Mechanics
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    • 제26권5호
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    • pp.569-589
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    • 2007
  • This paper presents an analytical model for RC beam-column connections that takes into account bond deterioration between reinforcing steel and concrete. The model is based on the Lumped Damage Mechanics (LDM) theory which allows for the characterization of cracking, degradation and yielding, and is extended in this paper by the inclusion of the slip effect as observed in those connections. Slip is assumed to be lumped at inelastic hinges. Thus, the concept of "slip hinge", based on the Coulomb friction plasticity theory, is formulated. The influence of cracking on the slip behavior is taken into account by using two concepts of LDM: the effective moment on an inelastic hinge and the strain equivalence hypothesis. The model is particularly suitable for wide beam-column connections for which bond deterioration dominates the hysteretic response. The model was evaluated by the numerical simulation of five tests reported in the literature. It is found that the model reproduces closely the observed behavior.

실험을 통한 모션제어기의 특성비교 (Characteristics Comparison of Motion Controllers through Experiments)

  • 정승현;왕준;한창욱;박정일
    • 제어로봇시스템학회논문지
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    • 제14권11호
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    • pp.1094-1102
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    • 2008
  • Through the motion control experiment using Industrial Emulator(Model 220 by ECP), the performance comparison of three kinds of controllers such as PID, RIC and LQR was carried out. It was shown that RIC has the best performance in the presence of disturbances such as step one, sinusoidal one and Coulomb friction for the rigid body. LQR using feedback state variables has the best tracking performance far the flexible body. The performance of PID controller is low compared to other controllers, but the design process is simple. The most advanced controller is LQR. In order to attenuate disturbance, an additional state observer should be used to estimate it, making more complex control system. RIC lies between PID and LQR in view of complexity of design. Even though RIC is not complicated, it has good disturbance rejection ability and less tracking error. By considering these aspects, the RIC is suggested as high precision controller to be used in motion control system.