• 소음진동
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• 제10권1호
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• pp.74-81
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• 2000

The vibrational model of a helical gear pair is developed with considering the elastic deformation of the active teeth and the body to be a rigid. The main source of vibration in geared system which has been known to be the gear transmission error is mathematically formulated and used for the analysis of vibrational characteristics of geared system. As an example, a simple geared system containing a helical gearing is considered. The critical speeds are found by the campbell diagram and compared with the experimental results.

• 한국소음진동공학회:학술대회논문집
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• 한국소음진동공학회 2004년도 추계학술대회논문집
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• pp.199-203
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• 2004

In this paper, a simplified model is studied to predict analytically the radiated noise from the helical gear system due to an axial excitation of helical gear. The simplified model describes gear, shaft, bearing, and housing. To obtain the axial force of helical gear, mesh stiffness is calculated in the load deflection relation. The axial force is obtained from the solution of the equation of motion, using the mesh stiffness. It is used as a longitudinal excitation of the shaft, which in turn drives the gear housing through the bearing. In this study, the shaft is modeled as a rod, while the bearing is modeled as a parallel spring and damper only supporting longitudinal forces. The gear housing is modeled as a clamped circular plate with viscous damping. For the modeling of this system, transfer function from the shaft to the clamped plate are used, using a spectral method with four pole parameters. Out-of-plane displacement for the thin circular plate with viscous damping is derived and sound pressure radiated from the plate is also derived. Using the model, parameter studies are carried out.

• 한국소음진동공학회논문집
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• 제20권7호
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• pp.677-684
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• 2010

Backlashes of gears provide gears for good lubrication and for removal of the interference between teeth by the wear and manufacturing errors. The backlash is the strong nonlinear factor to gears. This study deals with nonlinear modeling of helical gears with backlash. Excitation of helical gears comes from torque variation, the tooth surface error, and the periodical change of mesh stiffness. To study the effect of torque fluctuation, equation of motion for the single degree of freedom torsional model of helical gears with the periodical change of mesh stiffness and the backlash was derived. The Newmark beta method and the Newton-Raphson method were used to obtain the nonlinear behaviors of mesh forces of helical gears. All excitation frequencies initially caused the tooth separation and single-sided impacts of the gear pair and eventually led to the normal tooth contact. However, some special excitation frequencies caused the single-sided impacts in the entire time as well as the initial time. Damping increase reduced the duration of single-sided impacts, and the backlash increase caused those in the entire time domain.

• 한국정밀공학회:학술대회논문집
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• 한국정밀공학회 1995년도 추계학술대회 논문집
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• pp.803-806
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• 1995

The vibration and nosic of gears is causeed by manufacting error,alignment error in assembly, and thr meshing stiffness of gears which changes periodically as the meshing of teeth process. On a pair of power transmission helical gears with profile error, the relation between the characteristics of gear vibration and the profile error type have been investigated by simulating the vibrational acceleration level and calculating the natural frequency. The results show that the profile error decrease the natural frequency by reducing the tool stiffness and that the concave error type increase the vibrationsl level. And this paper describes the effect of the tip relief on the vibrational acceleration level which a pair of helical gears with concave error generates.

• 한국자동차공학회논문집
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• 제22권1호
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• pp.77-84
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• 2014

The worm gear is used in the motor drive system of automotive CVVL because of its compactness and self-locking ability. A ZK worm and an involute helical gear can be meshed in order to reduce production cost. However, the gearing is not suitable for the reliability and the NVH problem. To improve the dynamic performances, an optimal design process is considered. The transmission error is calculated theoretically and minimized with the several gear design parameters. An inequality condition such as the teeth interference elimination is added.

• 대한기계학회논문집A
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• 제36권5호
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• pp.555-561
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• 2012

자동차 변속기 내부에서 동력을 전달하는 헬리컬 기어의 소음 및 진동을 억제하기 위한 하나의 방법으로 정밀하게 가공된 기어를 검사하기 위한 방법에 관한 것이다. 본 연구에서는 측정 기준이 되는 표준 기어와 측정 대상 기어인 워크 기어를 정밀하게 측정하는 알고리즘에 관한 것이다. 기존의 방법은 표준 기어와 모니터 기어를 1회전하여 주파수 방법으로 측정 표준을 위한 마스터링 작업을 수행하였다. 본 연구에서는 제시된 알고리즘을 사용하여 표준 기어와 모니터 기어를 측정하고, 표준 기어와 모니터 기어의 오차를 계산하는 방법을 제시함으로써 기어 측정에 대한 정밀도를 높이도록 하였다. 또한 본 알고리즘을 사용하면 빠른 속도로 측정의 표준이 되는 마스터링 공정을 빠르고 정확하게 측정할 수 있을 것으로 예상된다.

• 한국소음진동공학회:학술대회논문집
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• 한국소음진동공학회 2006년도 춘계학술대회논문집
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• pp.774-781
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• 2006

This paper presents a study on the analytical prediction of vibration transmission from helical gears to the bearing. The proposed method is based on the application of the three dimensional helical gear behaviors and complete description of shaft by the spectral method. Helical gear system used in this paper consists of the driving element, helical gears, shafts, bearings, couplings and load element. In order to describe all translation and rotation motion of helical gears twelve degree of freedom equations of motion by the transmission error excitation are derived. Using these equations, transfer matrix for the helical gear is derived. For the detail behavior of shaft motion, the $12{\times}12$ transfer matrix for the shaft is derived. Transfer matrix for the bearing, coupling, driving element, and load is also derived. Application of the boundary conditions in the assembled transfer matrix produces the forces and displacements in each element of the helical gear system. The effect of the proposed method is shown by numerical example.

• 대한기계학회논문집A
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• 제20권5호
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• pp.1534-1542
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• 1996

Gear vibration is caused by the mesh stiffness, gear accuracy, and assembling errors. For these reasons, helical gear has the azial, radial, and rotational vibrations. In this study, the mesh stiffness is calculated by considering the tooth bending, contact, and foundation deformations. Rotational vibration of helical gear with tooth error is modeled by the nonlidear equation of motion with single degree of freedom and is anlyzed numerically. Also, by a specially designed experimental set-up, the analysis are cross-checked and the vibration characteristics of helical gear are discussed.

• 대한기계학회논문집A
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• 제40권12호
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• pp.1005-1011
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• 2016

기어소음의 근본적인 원인은 전달오차로 인해 발생하게 된다. 전달오차는 기어가 맞물릴 때 발생하는데 크게 정적전달오차와 동적전달오차가 있다. 이러한 오차들은 기어 이빨의 처짐 또는 치면 마찰에 의해 발생하고 이 요인들이 원인이 되어 기어 시스템에 진동이 발생하게 된다. 그리고 이 진동이 기어의 축으로 이동하게 되어 축을 떠받치고 있는 베어링에 전달되고 베어링에 전달된 가진은 최종적으로 기어의 케이싱으로 이동하게 되어 소음을 방출하게 된다. 본 논문에서는 이러한 전달오차에 의해 발생하는 최대 굽힘응력을 가지는 롤각을 찾기 위한 응력해석을 수행되었다. 본 논문에서는 이론적 바탕으로 설계되어 인볼류트 곡선을 가진 기어와 수정된 치형을 가진 기어의 전달오차에 대한 해석을 진행하였다. 또한, 급작스러운 작동이나 큰 백래쉬로 인해 발생하는 충격강도에 대한 영향을 알아보기 위해 유한요소해석을 통해 각각 정적 최대굽힘응력과 동적 최대굽힘응력의 결과를 이용하여 충격인자 값을 예측해 보았다.