• Transactions of the Korean Society for Noise and Vibration Engineering
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• v.15 no.3 s.96
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• pp.259-265
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• 2005

A two-degree-of-freedom out-of-plane model with contact stiffness is presented to describe dynamical interaction between the pad and disc of a disc brake system. It is assumed that the out-of-plane motion of the system depends on the friction force acting along the in-plane direction. Dynamic friction coefficient is modelled as a function of both in-plane relative velocity and out-of-plane normal force. When the friction coefficient depends only on the relative velocity, the contact stiffness has the role of negative stiffness. The results of stability analysis show that the stiffness of both pad and disc is equally important. Complex eigen value analysis is conducted for the case that the friction coefficient is also dependent on the normal force. The results further verify the importance of the stiffness. It has also been found that increasing the gradient of friction coefficient with respect to the normal force makes the system more unstable.

• Transactions of the Korean Society of Mechanical Engineers A
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• v.35 no.4
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• pp.425-431
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• 2011

Thermal energy generated because of the friction between the disc and pad is transferred to both sides and causes thermal expansion of the material, which affects the contact pressure distribution. This phenomenon, which is called thermoelastic instability (TEI), is affected by the natural mode of a disc. TEI results in the formation of a hot spot and causes hot judder vibrations. In this study, three-dimensional analysis of the hot judder of a ventilated disc for automotives was performed by using the commercial finite element analysis program, SAMCEF. The intermediate processor based on a staggered approach was used to exchange the result data of the mechanical and thermal model. The hot spot was formed on the surface of the disc, and the number of hot spots was compared with the natural mode of the disc.

• Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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• 1994.10a
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• pp.73-79
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• 1994

(1) 진공청소기의 소음은 팬모타의 회전에 기인하는 유체소음과 진동소음이 주류를 이루며, 여기에 공기의 흡입과 배출에 따른 유체소음등이 복합되어 나타난다. (2) 진공청소기의 소음특성은 각 소음원들의 특성에 따라 주파수대역을 구분할 수 있으며, 기계적 진동음인 500Hz부근에서 peak를 보인다. (3) 소음의 저감을 위하여는 기존에 정립되어 있는 흡음, 차음, 감쇠, 방진, 유압유속감소 등의 기술을 종합적으로 활용하여 제한된 공간내에서 효과를 극대화할 수 있는 구조개발이 필요하며 본 연구에 적용하였다. (4) 본 연구의 '정음유로구조'는 차음효과, 유로길이 증가에 의한 감쇠효과, 흡음효과를 극대화할 수 있는 구조이다. (5) 팬모타의 진동모드는 회전축을 중심으로 원운동을 하며, 진동량은 흡입구와 뒷쪽 베어링부위가 가장 작으므로 회전축에 가까운 곳을 지지하는 것이 방진에 유리하다. (6) 본 구조에서 사용된 케이싱은 484Hz의 고유진동수 성분을 가지며 이는 모타와 공진할 우려가 있다. 이에 공진주파수 성분의 진동량이 가장 작은 전면과 후면의 중앙부를 지지하여 진동을 줄일 수 있었다. (7) 본체소음의 전반적인 저감에 따라 흡입구 등에서 발생하는 공기마찰소음의 영향이 상대적으로 커지며, 따라서 흡입구의 유선형 설계 및 누설소음의 흡음, 차폐 등의 역할이 중요한 관리 요소로 된다.

• Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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• 2002.05a
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• pp.89-96
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• 2002

A two-degree of freedom model is suggested to understand the basic dynamical behaviors of the interaction between two masses of the friction induced vibration system. The two masses may be considered as the pad and the disk of the brake, The phase space analysis is performed to understand complicated dynamics of the non-linear model. Attractors in the phase space are examined for various conditions of the parameters of the model especially by emphasizing on the damping parameters. In certain conditions, the attractor becomes a limit cycle showing the stick-slip phenomena. In this paper, not only the existence of the limit cycle but also the size of the limit cycle is examined to demonstrate the non-linear dynamics that leads the unstable state. For the two different cases of the system frequency ((1)two masses with same natural frequencies, (2) with different natural frequencies), the propensity of limit cycle is discussed in detail. The results show an important fact that it may make the system worse when too much damping is present in the only one part of the masses.

• Transactions of the Korean Society for Noise and Vibration Engineering
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• v.12 no.7
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• pp.502-509
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• 2002

A two-degree of freedom model Is suggested to understand the basic dynamical behaviors of the interaction between two masses of the friction induced vibration system. The two masses may be considered as the pad and the dusk of the brake. The phase space analysis is performed to understand complicated dynamics of the non-linear model. Attractors in the phase space are examined for various conditions of the parameters of the model especially by emphasizing on the damping parameters. In certain conditions, the attractor becomes a limit cycle showing the stick-slip phenomena. In this Paper, not only titre existence of the limit cycle but also the sloe of the limit cycle is examined to demonstrate the non-linear dynamics that leads the unstable state. For the two different cases of the system frequency[(1) Two masses with same natural frequencies, (2) with different natural frequencies] . the propensity of limit cycle Is discussed In detail. The results show an important fact that it may make the system worse when too much damping Is present in the only one part of the masses.

• Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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• 2004.05a
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• pp.601-606
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• 2004

This paper deals with friction-induced vibration of disc brake system under constant friction coefficient. A linear, lumped and distributed parameter model to represent the floating caliper disc brake system is proposed. The complex eigenvalues are used to investigate the dynamic stability and in order to verify simulations which are based on the theoretical model, the experimental modal test and the dynamometer test are performed. The comparison of experimental and theoretical results shows a good agreement and the analysis indicates that mode coupling due to friction force is responsible for disc brake squeal. And squeal type instability is investigated by using the parametric analysis. This indicates parameters which have influence on the propensity of brake squeal. This helped to validate the analysis model and establish confidence in the analysis results. Also they may be useful during system development or diagnostic analysis.

• Transactions of the Korean Society for Noise and Vibration Engineering
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• v.14 no.8
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• pp.702-708
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• 2004

This paper deals with friction-induced vibration of disc brake system under constant friction coefficient. A linear, lumped and distributed parameter model to represent the floating caliper disc brake system is proposed. The complex eigenvalues are used to investigate the dynamic stability and in order to verify simulations which are based on the theoretical model, the experimental modal test and the dynamometer test are performed. The comparison of experimental and theoretical results shows a good agreement and the analysis indicates that mode coupling due to friction force is responsible for disc brake squeal. And squeal type Instability is Investigated by using the parametric analysis. This indicates parameters which have influence on the propensity of brake squeal. This helped to validate the analysis model and establish confidence in the analysis results. Also they may be useful during system development or diagnostic analysis.

• Transactions of the Korean Society for Noise and Vibration Engineering
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• v.17 no.7 s.124
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• pp.649-661
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• 2007

Friction-type reinforcing members(FRM) to enhance the resistance to wind loads of a transmission tower through both stiffness strengthening and damping increase are energy dissipation devices that utilize bending deflection of a tower leg. In this paper, the hysteretic behavior of the transmission tower structure with FRMs was experimentally investigated through cyclic loading tests on a half scale substructure model. Firstly, the variation of friction forces and durability of the FRM depending on the type of friction-inducing materials used in the FRM were examined by performing the cyclic loading tests on the FRM. Secondly, cyclic loading tests of a half-scale two-dimensional substructure model of a transmission tower with FRMs were conducted. Test results show that the FRM, of which desired maximum friction force is easily regulated by adjusting the amplitude of the torque applied to the bolts, have stable hysteretic behaviors and it is found that there exists the optimum torque depending on a design load by investigating the amount of energy dissipation of the FRMs according to the increase of torque.

• Proceedings of the Korean Society of Tribologists and Lubrication Engineers Conference
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• 1997.04a
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• pp.62-68
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• 1997

현재 널리 보급되어 있는 볼베어링은 몇개의 볼에 의해 작동하기에 회전이 불균일하며 진동과 소음이 크다. 이는 고속에서 한계를 갖는 주된 원인이 되고 있다. 또한 그리스의 손실로 인한 수명의 단축이나, 유출된 그리스로 인한 손상은 제품의 내구성에 치명적인 결과를 초래한다. 더욱이 기존에 사용하는 소형 정밀 베어링은 전량 수입에 의존하고 있으며, 기술 선진국의 기술이전 회피로 개발이 어려우며, 수입물량도 확보하기 어려운 상황이다. 이를 극복하기 위한 하나의 방법이 볼과 그리스를 대신해서 유체의 압력을 이용한 유체동압베어링의 개발이다. 유체동압을 이용한 베어링의 장점은 그리스의 누유가 없고, 이로 인한 설계상의 제약이 없으며, 볼베어링으로는 불가능한 고속회전에 적합하고, 안전성이 뛰어나며 회전이 균일하여 제품의 신뢰성을 향상시킬 수 있다. 유체동압 함유소결함유베어링은 진동과 소음이 적고, 저렴하며 구조가 간단하고, 급유기를 필요로 하지 않는 자기윤활(self-lubrication)특성과 생산성 등 많은 장점을 가지고 그 사용범위가 점차 광범위하게 넓어지고 있지만, 저속상태에서의 유막형성, 고속상태에서 기름의 누유, 고하중상태에서 강도와 기공의 눌어붙음과 출발과 정지 시에 발생하는 두 금속간의 직접 접촉을 피할 수 없는 것과 같은 해결해야 하는 문제를 가지고 있다. 본 연구에서는 이러한 단점을 해결하기 위하여 유체동압 함유소결베어링이 마찰특성을 알아보고자 한다.

• Transactions of the Korean Society of Mechanical Engineers A
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• v.36 no.4
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• pp.429-435
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• 2012

An abrasion due to continuous friction between a work roll and strip causes the mass of the work roll to be unbalanced in the rolling process. We developed a mathematical model for the rolling mill considering the unbalanced mass and verified the model experimentally. The work roll was approximated as a rigid rotor with eccentricity, and the effect of the unbalanced mass on chatter vibration was investigated. The joint forces computed by quasistatic analysis were applied to the work roll in the rolling mill. Transient responses were obtained, and frequency analysis was performed by solving equations of motion using a direct integration method. Horizontal vibrations were more strongly affected by eccentricity than vertical vibrations. In the horizontal direction, a small eccentricity of 1% of the work roll radius considerably increased the amplitude of the chatter frequency.