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Prediction of the Fatigue Life of Deep Groove Ball Bearing under Radial and Moment Loads -Equivalent Dynamic Loads- (반경방향과 모멘트하중 하에서의 깊은홈 볼베어링의 피로수명 평가 -동등가하중식 제안-)

  • 김완두;한동철
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.18 no.7
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    • pp.1654-1663
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    • 1994
  • Even if the ball bearing was conservatively designed considering the dynamic capacity and the rating life, sometimes the bearing was early failed on account of the misalignment and the lubricant contaminations etc. Misalignment was generated when bearing-shaft system transmitted large power and when the bearing was inadequately mounted. It was possible to predict the fatigue life of ball bearing under the misalignment considering the motions of ball, cage and raceway, and the factors of the effect on fatigue life. Misalignment affected on ball bearing as radial and moment load and the relationships between misalignment and moment were obtained. In this paper, the analysis of the load distributions between ball and raceway, and the prediction of fatigue life of deep groove ball bearing under radial and moment loads were carried out. And, the new formulation of equivalent dynamic load considering the effects of moment load was proposed.

Dynamic response of a HDD pivot ball bearing acted by Hertzian contact force (Hertzian contact force에 의한 HDD pivot ball bearing의 동적 반응 분석)

  • Yoon, Joo Young;Park, No-Cheol;Lim, Gunyeop;Park, Young-Pil
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2014.10a
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    • pp.993-993
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    • 2014
  • Increasing the density magnetic recording of a hard disk drive needs to improve position control of a slider. We have troubles analyzing position of a slider by nonlinear property of pivot ball bearing. Many researches analyze a hard disk drive to change pivot ball bearing part from balls to springs. Pivot ball bearing operates by rotation and movement of balls. This study considers Hertzian contact force when balls contact with outer race to analyze nonlinear movement of a ball bearing. Experiment of this study measures movement of a circular center of a pivot ball bearing. We also verify the simulation results and the experiment results.

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Ball-mill 처리가 $UO_2$ 분말의 특성과 성형에 미치는 효과

  • 김한수;김시형;나상호;이영우;손동성
    • Proceedings of the Korean Nuclear Society Conference
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    • 1995.05a
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    • pp.656-661
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    • 1995
  • Ex-AUC 공정으로 제조된 $UO_2$ 분말에 대하여 ball-milling 시간 (0-4 시간)에 따른 분말의 특성변화 그리고 성형성(성형압력 구간 : 200~400 MPa)을 조사하였다. ex-AUC $UO_2$ 분말에서는 그 입자크기가 비교적 커서 (평균 입자크기 : 28$\mu\textrm{m}$) ball-milling 의 효과가 크게 나타났다. Ball-mill 에 의한 분말입자의 미세화효과는 1 $\mu\textrm{m}$ 보다 큰 크기를 갖는 분말입자에서 주로 나타났다. 또한 ball-milling 에 의해 최대로 감소될 수 있는 분말입자 크기는 약 0.5$\mu\textrm{m}$로 나타났다. Ball-milling 시간에 따라 분말입자 크기는 감소하였으며, 동일한 성형조건하에서 ball-milling 처리된 분말의 성형밀도는 원료분말의 것에 비하여 증가하였다. 이것은 ball-milling 처리에 의해 미분쇄된 분말입자에 기인되는 것으로 나타났다.

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Design of Optimized Fuzzy Cascade controller Based on Partical Swarm Optimization for Ball & Beam System (볼빔 시스템에 대한 입자 군집 최적화를 이용한 최적 퍼지 직렬형 제어기 설계)

  • Jang, Han-Jong;Oh, Sung-Kwun
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.57 no.12
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    • pp.2322-2329
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    • 2008
  • In this study, we introduce the design methodology of an optimized fuzzy cascade controller with the aid of particle swarm optimization(PSO) for ball & beam system. The ball & beam system consists of servo motor, beam and ball, and remains mutually connected in line in itself. The ball & beam system determines the position of ball through the control of a servo motor. We introduce the fuzzy cascade controller scheme which consists of the outer(1st) controller and the inner(2nd) controller as two cascaded fuzzy controllers, and auto-tune the control parameters(scaling facrors) of each fuzzy controller using PSO. For a detailed comparative analysis from the viewpoint of the performance results and the design methodology, the proposed method for the ball & beam system which is realized by the fuzzy cascade controller based on PSO, is presented in comparison with the conventional PD cascade controller based on serial genetic alogritms.

The Effects of Squatting Exercise with Gym Ball and Wall on Lower Extremity Muscles Activation (짐볼과 벽면을 이용한 스쿼트 운동이 하지근 활성도에 미치는 영향)

  • Oh, Tae-Young
    • Journal of the Korean Society of Physical Medicine
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    • v.8 no.4
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    • pp.647-653
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    • 2013
  • PURPOSE: The purpose of this study was to compare the lower extremities muscle activation between squatting exercise with gym ball and wall for improving muscle strengthening in lower extremities. METHODS: Participants were 21 university students (males 10, females 11) who didn't have any problem with orthopedic surgery. Participants performed squatting exercise with gym ball and wall. Squatting exercise with gym ball were performed using by gym ball behind back, and the gym ball were fixed in back and wall. We asked participants to push back the gym ball slightly to prevent fall of ball. Wall squatting exercise, we ask participants to contact their back in wall slightly in order to prevent trunk flexion during performed squatting exercise. Each squatting exercise had performed until knee joint were flexed at 60 degree, and maintained five seconds. We collected data from E.M.G of Biceps femoris, Gastrocnemius, Vastus medialis and lateralis, Tibialis anterior of lower extremity in isometric phase of knee joint angle 60 degree of each squatting exercise. We analysed data using by ANOVA and independent t-test of SPSS PC ver.20.0 in order to compare the muscle activation between squatting exercise with gym ball and wall. RESULT: All of lower extremities muscle activation showed more higher value in squatting exercise with gym ball than squatting exercise with wall, especially there was significantly difference of muscle activation in vastus medialis, tibialis anterior between squatting exercise with gymball and with wall. CONCLUSION: On comprehensively considering the results of the present study, we suggested that squatting exercise with gym ball was more effective method improving lower extremity muscle strengthening.

Ball movements in various surface angles of uphill putting based on different ball positions (오르막 퍼팅 동작 시 볼의 위치가 퍼터와 볼의 움직임에 미치는 영향)

  • Ryu, Jong-Wook;Kim, Jai-Jeong
    • Journal of the Korean Applied Science and Technology
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    • v.36 no.2
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    • pp.448-455
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    • 2019
  • This study aims to discover whether there are other factors, such as the ball position and address that will increase the percentage of holed putts from different angles of surface. In this study, we selected five male tour professional golfers that has been of 15 years or longer on the Korea Golf Association. As a research tool, after installing a video camera at an artificial site that's similar with the real green, and with the player's own putter, motion analysis was carried out using a Titleist V1x, which is commonly used by golfers. We use SPSS programs, significance level a=.05. According to the ball movement during the ball movement during the ball position putt by section, it is confirmed that the ball speed and angular velocity increase as the ball position changes from left to right. If the uphill putt, ball movement was found to be increased same change flat putt and There is no significance deviation. In this study, we investigate how the clubface and ball move during impact by varying the position of the address ball according to the slope during the ascent putt, which should increase the success rate among the various slopes. This study was conducted to present scientific data.

Dynamic Characteristics of Indeterminate Rotor Systems with Angular Contact Ball Bearings Subject to Axial and Radial Loads

  • Hong, Seong-Wook;Kang, Joong-Ok;Yung C. Shin
    • International Journal of Precision Engineering and Manufacturing
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    • v.3 no.2
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    • pp.61-71
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    • 2002
  • This paper presents the dynamic analysis of indeterminate rotor systems with angular contact ball bearings subject to axial and radial loads. The reaction forces against applied radial loads significantly influence the dynamic characteristics of angular contact ball bearings. However, the reaction forces are hard to determine in the case of indeterminate rotor-bearing systems. To this end, this paper proposes a finite element model for indeterminate rotor systems with angular contact ball bearings. An improved bearing model is adopted which is originated from the Harris's bearing dynamic model. The bearing model is also extended to include centrifugal forces due to the ball and inner ring. This paper utilizes a new iterative algorithm for general, indeterminate rotor systems with angular contact ball bearings. This examples are provided to illustrate the dynamic characteristics of rotor systems with angular contact ball bearings subject to axial and radial loads. The experimental and numerical results prove that the proposed method is useful for the dynamic analysis of indeterminate rotor systems with angular contact ball bearings.

Analysis of Middle Aged and Elderly Women's Foot Shapes for Shoe Design

  • Lim, Ho-Sun
    • Fashion & Textile Research Journal
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    • v.17 no.5
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    • pp.815-827
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    • 2015
  • This study analyzes the characteristics by age and type for middle aged and elderly women foot shapes aged 40-69 years. ANOVA, factor, and cluster analyzed middle aged and elderly women's foot shapes. The results of the study are as follows. First, higher age groups tended to have smaller foot lengths, ball/instep circumferences, circumferences, and ball heights with larger heel height values and higher degrees of gathering of toe 1 and toe 5 toward the feet reference axis. Second, foot lengths were 220 mm-240 mm and the ball circumference's size symbol in high frequency sections were distributed from E to EEEE in the 40s and 60s groups and from D to EEEE in the 50s group. Third, eight factors were extracted through the factor analyses of middle aged and elderly women's foot measurement items. Fourth, a cluster analyses classified the subjects into four types. Type 1 is a normal foot type with medium foot length and small ball circumference and type 2 is a long and flat foot type with a type with large foot length and ball circumference values as well as small ball height values. Type 3 is a thick foot type with a medium foot length, large ball circumference, large ball height and type 4 is a toe deformation foot type with medium foot length, small ball circumference, and a high degree of toe gathering toward the center.

Evaluation on the Buckling Length of Circular Hollow Steel with Ball Joints (볼접합부를 갖는 원형강관부재의 좌굴길이 평가)

  • Kang, Jong
    • Journal of the Korean Society of Industry Convergence
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    • v.15 no.1
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    • pp.5-11
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    • 2012
  • The Buckling of the member under compressive stress is likely to occur, which is an important factor determining the strength of structures. The objective of this study was to evaluate the member buckling strength of a circular hollow steel with ball joints and to compare with design specifications for load resistance factor of our country. Furthermore, we would like to suggest basic data for evaluation of buckling length of a circular hollow steel with ball joints according to comparative analysis. These results were summarized as follows: Buckling stress according to the test results on buckling was 1.21 times greater than LSD specifications of our country estimated the entire length of circular hollow steel with ball joints as buckling length. In addition, it was 1.16 times greater than when estimating the length except the ball as buckling length and 1.14 times grater than when excluding the ball and sleeve. Therefore, when estimating buckling stress of circular hollow steel with ball joints, their buckling length may be measured by the length except ball and sleeve.

Nonlinear Vibration Model of Ball Bearing Waviness in a Rigid Rotor Supported by Multi-Row Ball Bearing Considering Five Degrees of Freedom (다수의 각접촉 볼베어링으로 지지된 5자유도 회전계에서 볼베어링의 Waviness에 의해 발생하는 비선형진동 해석모델)

  • 정성원;장건희
    • Journal of KSNVE
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    • v.11 no.2
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    • pp.336-345
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    • 2001
  • This research presents a nonlinear model to analyze the ball bearing nitration due to the waviness in a rigid rotor supported by multi-row ball bearings. The waviness of a ball and each races is modeled by the superposition of sinusoidal function, and the position vectors of inner and outer groove radius center are defined with respect to the mass center of the rotor in order to consider five degrees of freedom of a general rotor-bearing system. The waviness of a ball bearing is introduced to these position vectors to use the Hertzian contact theory in order to calculate the elastic deflection and nonlinear contact force resulting from the waviness while the rotor has translational and angular motion. They can be determined by solving the nonlinear equations of motion with five degrees of freedom by using the Runge-Kutta-Fehlberg algorithm. Numerical results of this research are validated with those of prior researchers. The proposed model can calculate the translational displacement as well as the angular displacement of the rotor supported by the multi-row ball bearings with waviness. It also characterizes the nitration frequencies resulting from the various kinds of waviness in rolling elements, the harmonic frequencies resulting from the nonlinear load-deflection characteristics of ball bearing. and the sideband frequencies resulting from the waviness interaction.

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