• Title/Summary/Keyword: spherical contact

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Contact analysis of spherical ball and a deformable flat model with the effect of tangent modulus

  • Sathish Gandhi, V.C.;Ramesh, S.;Kumaravelan, R.;Thanmanaselvi, M.
    • Structural Engineering and Mechanics
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    • v.44 no.1
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    • pp.61-72
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    • 2012
  • The paper is on contact analysis of a spherical ball with a deformable flat, considering the effect of tangent modulus on the contact parameters of a non-adhesive frictionless elastic-plastic contact. The contact analysis of this model has been carried out using analysis software Ansys and Abaqus. The contact parameters such as area of contact between two consecutive steps, volume of bulged material are evaluated from the formulated equations. The effect of the tangent modulus is considered for determining these parameters. The tangent modulus are accounted between 0.1E and 0.5E of materials E/Y value greater than 500 and less than 1750. Result shows that upto an optimal tangent modulus values the elastic core push up to the free surface in the flat. The simulation is also carried out in Abaqus and result provide evidence for the volume of bulged material in the contact region move up and flow into the free surface of the flat from the contact edge between the ball and flat. The strain energy of the whole model is varied between 20 to 40 percentage of the stipulated time for analysis.

Microcontacting behaviour of material with fractal rough surface (프랙탈 표면을 가진 공구와 재료의 마이크로 접촉거동해석)

  • Kim, Young-Suk;Hyun, Sang-Il
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2009.10a
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    • pp.33-37
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    • 2009
  • Finite-element methods are used to study non-adhesive, frictionless rough contact of elastic and plastic solids. Roughness on spherical surfaces is realized by self-affine fractal. True contact area between the rough surfaces and flat rigid surfaces increases with power law under external normal loads. The power exponent is sensitive to surface roughness as well as the curvature of spherical geometry. Surface contact pressures are analyzed and compared for the elastic and plastic solids. Distributions of local contact pressure are shown dependent on the surface roughness and the yield stress of plastic solids.

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Changes in Spherical Aberration and Coma Aberration after Wearing Aspheric Soft Contact Lens in Young Myopes (젊은 성인 근시안에서 비구면 소프트 콘택트렌즈 착용 후 구면수차와 코마수차의 변화)

  • Lim, Dong-Kyu;Kwon, Hyeok;Lee, Koon-Ja
    • The Korean Journal of Vision Science
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    • v.20 no.4
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    • pp.469-482
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    • 2018
  • Purpose : We investigated the change of spherical and comma aberrations after wearing aspheric soft contact lens (ASCL) in young myopes. Methods : Fifty young myopes ($23.15{\pm}1.70years$, spherical equivalent: $-2.90{\pm}1.75D$) were recruited and refractive errors were corrected using ASCL (Biotrue, Bausch+Lomb, USA). High order aberrations were measured in the 4 mm pupil size using the wavefront analyze and pupil sizes were measured with a pupillometer at the modes of scotopic condition (light off) at 3.5 m in the 100 lx illuminance condition. Results : Spherical aberrations and coma aberration of the 20s myopes were $0.026{\pm}0.031{\mu}m$ and $0.078{\pm}0.039{\mu}m$ respectively, and $0.019{\pm}0.026{\mu}m$ and $0.082{\pm}0.038{\mu}m$ after ASCL wear that spherical aberration was decreased and coma aberration was increased. However, spherical aberration was decreased in the 68% of the subject have positive spherical aberration, and increased in the 11% of the subject have negative spherical aberration. Coma aberration was increased in the 53% of the subject, did not change in the 19% of the subjects, and decreased in the 28% of the subject. Spherical aberration was not different with the refractive errors in low and moderate myopies, however, coma aberrations was higher in the higher myopes. Conclusion : In a scotopic condition without accommodation stimuli, spherical aberration is decreased after wearing ASCL, however in the subject have negative spherical aberration spherical aberration could be increased, and which is thought to be the influence of contact lens design and pupil size.

Stress Analysis of the S-CVT using Finite Element Method (FEM을 이용한 구체무단변속기의 응력해석)

  • Kim, J.Y.
    • Journal of Power System Engineering
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    • v.12 no.2
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    • pp.41-47
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    • 2008
  • This article deals with the stress analysis of the friction drive, which transmits the power via the rolling resistance on the contract area between the two rotating bodies. On the contact area, friction drives are normally involved with shear stress due to the transmitted force, as well as normal stress. Thus the stress analysis including the shear stress is necessary for the design of the friction drive. Hertzian results can be used to estimate the normal stress distribution and elastic deflection of the contact area, although the shear stress distribution is not well defined. In order to investigate the shear stress distribution and its effects in a friction drive, we have performed the stress analysis of the spherical continuously variable transmission(CVT) using finite element method. The spherical CVT is one of friction drives, which is used in small power applications. The numerical results show that the normal stress distribution is not affected by the transmitted shear force, and the maximal shear stress is increased in small amount along with the shear force.

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Study on the fatigue Limit at Random Contact Loading (불규칙 접촉하중에서의 피로한도에 관한 연구)

  • Ok, Young-Gu;An, Deuk-Man;Cho, Yong-Ju;Lee, Hyun-Woo
    • Journal of the Korean Society for Precision Engineering
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    • v.19 no.8
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    • pp.84-91
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    • 2002
  • This paper analyzes the subsurface stress at the spherical contact using Hamilton equation, and with that data, calculates the fatigue limit under the variations of friction coefficient using fatigue theory. After rough surface being made, this paper figures out the random load generated by contacting to the rough surface, analyzes the stress of its subsurface, and calculates the fatigue limit of the rough surface using fatigue theory. The three parts of the fatigue theory are applied, which are critical plane theory, stress invariant theory and mesoscopic theory.

Mechanical Properties and Contact Damage of Silicon Nitrides Nitrides : II. Effect of Microstructure (질화규소의 기계적 성질 및 접촉 손상 : II. 미세구조의 영향)

  • 이승건
    • Journal of Powder Materials
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    • v.5 no.1
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    • pp.22-27
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    • 1998
  • The effect of the $\alpha$/$\beta$ phase fraction on the mechanical properties in silicon nitrides was investigated in part 1. In part II, we describe the role of microstructure on the mechanical properties and contact damage of silicon nitrides with coarse/equiaxed and coarse/elongated microstructures. Grain sizes and shapes were controlled by starting powder. Hertzian indentation using spherical indenter was also used to investigate contact damage behavior. Cone cracks from the spherical indentation were suppressed when the silicon nitride contains coarse and elongated grains. Coarse and elongated grains played an important role of cone crack suppression. The size of quasi-plastic zone does not depend on grain size or shape but depends on the fraction of $\alpha$/$\beta$ phase. A quasi-plastic zone was consisting of microcracks by shear stress during indentation.

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Contact Analysis between Rubber Seal, a Spherical Wear Particle and Steel Surface (시일과 스틸면 사이의 구형 마멸입자에 의한 접촉해석)

  • Park, Tae-Jo;Yoo, Jae-Chan;Jo, Hyeon-Dong
    • Tribology and Lubricants
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    • v.24 no.6
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    • pp.297-301
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    • 2008
  • In many dynamic seals such as lip seal and compression packings, it is well known that wear occur at the surface of heat treated steel shaft as results of the intervened wear particle. It is widely understood that the dominant wear mechanism related in sealing surfaces is abrasive wear. However, little analytical and experimental studies about this problems have been done until now. In this paper, a contact analysis is carried out using MARC to investigate the wear mechanism in contact seal applications considering elastomeric seal, a elastic perfect-plastic micro-spherical particle and steel surface. Deformed seal shapes, contact and von-Mises stress distributions for various particle sizes and interference are showed. The maximum von-Mises stress within steel shaft was exceeded its yield strength and plastic deformation occurred at steel surface. Therefore, the sealing surface can be also worn by sub-surface fatigue due to wear particles together with well known abrasion. The numerical methods and models used in this paper can be applied in design of dynamic sealing systems, and further intensive studies are required.

Sliding Contact Analysis of a Spherical Particle between Rubber Seal and Coated Steel Counterface (시일과 코팅된 스틸면 사이의 구형 입자에 의한 미끄럼 접촉 해석)

  • Park, Tae-Jo;Lee, Jun-Hyuk
    • Tribology and Lubricants
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    • v.28 no.6
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    • pp.283-288
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    • 2012
  • In this study, a new sliding contact problem involving an elastomeric seal, a spherical particle and a hard coated steel counterface was modeled to investigate the detailed wear mechanisms related to the sealing surface. The model was also used to design the optimum coating conditions. A three-dimensional finite element contact problem was modeled and analyzed using the nonlinear finite element code, MARC. The deformed steel surface and stress distributions are presented for different coating layers and thicknesses. When the coating thickness is relatively small, the entrapped particle produces surface plastic deformations such as groove and torus. In addition, the sealing surface can be damaged by abrasive wear as well as fatigue wear. For a relatively thick and multi-layered coating, on the other hand, surface plastic deformation does not occur, and the amount of abrasive and fatigue wear is reduced. Therefore, the proposed contact model and results can be used in the design of various sealing systems, further intensive studies are required.

The study on the friction characteristics of spherical hydrostatic bearing for hydraulic piston motor (유압모터 구면 정압베어링의 마찰특성에 관한 연구)

  • 함영복;최영호;김성동
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2001.04a
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    • pp.647-650
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    • 2001
  • In case of bent axis type axial piston hydraulic pump or motor, hydrostatic bearing used to achieve the lubrication effect on the mechanical sliding contact areas between the following pairs ; piston shoe and swash plate, valve plate and cylinder block, piston and cylinder block, etc. In this research, we designed two pairs of spherical ball joint in witch connecting rod piston end. The one is not hydrostatic bearing, the other is designed with spherical hydrostatic bearing in point of view minimum pumping power loss. By varying supply pressure on the piston, we can know that it is possible to reduce the friction torque by using hydrostatic bearing designed one. Finally, by comparing the results of driving torque between the two models, it was verified that the spherical hydrostatic bearing is well designed.

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