• Title/Summary/Keyword: dynamic coefficients

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Stability Analysis of a Herringbone Grooved Journal Bearing with Rotating Grooves (홈이 회전하는 빗살무늬 저널 베어링의 안정성 해석)

  • 윤진욱;장건희
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.13 no.4
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    • pp.247-257
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    • 2003
  • This paper presents an analytical method to Investigate the stability of a hydrodynamic journal bearing with rotating herringbone grooves. The dynamic coefficients of the hydrodynamic Journal bearing are calculated using the FEM and the perturbation method. The linear equations of motion can be represented as a parametrically excited system because the dynamic coefficients have time-varying components due to the rotating grooves, even in the steady state. Their solution can be assumed as a Fourier series expansion so that the equations of motion can be rewritten as simultaneous algebraic equations with respect to the Fourier coefficients. Then, stability can be determined by solving Hill's infinite determinant of these algebraic equations. The validity of this research is proved by the comparison of the stability chart with the time response of the whirl radius obtained from the equations of motion. This research shows that the instability of the hydrodynamic journal bearing with rotating herringbone grooves increases with increasing eccentricity and with decreasing groove number, which play the major roles in increasing the average and variation of stiffness coefficients, respectively. It also shows that a high rotational speed is another source of instability by increasing the stiffness coefficients without changing the damping coefficients.

Stability Analysis of a Herringbone Grooved Journal Bearing with Rotating Grooves (홈이 회전하는 빗살무의 저널 베어링의 안정성 해석)

  • 윤진욱;장건희
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2002.05a
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    • pp.166-174
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    • 2002
  • This paper presents an analytical method to Investigate the stability of a hydrodynamic journal bearing with rotating herringbone grooves. The dynamic coefficients of the hydrodynamic journal bearing are calculated using the FEM and the perturbation method. The linear equations of motion can be represented as a parametrically excited system because the dynamic coefficients have time-varying components due to the rotating grooves, even in the steady state. Their solution can be assumed as a Fourier series expansion so that the equations of motion can be rewritten as simultaneous algebraic equations with respect to the Fourier coefficients. Then, stability can be determined by solving Hill's infinite determinant of these algebraic equations. The validity of this research is proved by the comparison of the stability chart with the time response of the whirl radius obtained from the equations of motion. This research shows that the instability of the hydrodynamic journal bearing with rotating herringbone grooves increases with increasing eccentricity and with decreasing groove number, which play the major roles in increasing the average and variation of stiffness coefficients, respectively. It also shows that a high rotational speed is another source of instability by increasing the stiffness coefficients without changing the damping coefficients.

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Investigation on the Determination Method of Rayleigh Damping Coefficients for Dynamic Time History Elastic-Plastic Seismic Analysis (동적 시간이력 탄소성 지진 해석을 위한 레일레이 감쇠계수 결정방법 고찰)

  • Kim, Jong Sung;Lee, Seok Hyun;Kweon, Hyeong Do;Oh, Chang-Young
    • Transactions of the Korean Society of Pressure Vessels and Piping
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    • v.13 no.2
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    • pp.38-43
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    • 2017
  • This paper investigates how to determine the Rayleigh damping coefficients for dynamic time history seismic analysis of piping systems. Three methods are applied. The first one is a conventional method to use the natural frequencies of the mode 1 and 2, derived from dynamic analysis. The second method is to determine the Rayleigh damping coefficients based on frequency range of the acceleration histories. The last one is a iterative transient response analysis method using the transient analysis results without and with damping. It is found that the conventional method and the iterative transient response method yield the same results whereas the acceleration frequency-basis method provides more conservative result than the other methods. In addition, it is concluded that the iterative transient response method is recommended.

Analysis of the Air Journal Bearings with Two Circumferential Grooves (2열 원주 그루브 급기 저어널 공기베어링의 해석)

  • 박상신;안유민;한동철
    • Tribology and Lubricants
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    • v.13 no.4
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    • pp.40-46
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    • 1997
  • The externally pressurized air journal bearings which have two circumferential grooves with inherently compensated restrictors are analyzed. Two circumferential grooves with restrictors are made on the bearing surface in order to increase the stiffness and damping coefficients. In this paper, the dynamic characteristics such as stiffness and damping coefficients of this type of bearings are calculated. As a result of theoretical analysis, it is verified that there exist the groove depth and the distance between two grooves which generate the maximum stiffness at the given bearing dimensions.

EOG-based User-independent Gaze Recognition using Wavelet Coefficients and Dynamic Positional Warping (웨이블릿 계수와 Dynamic Positional Warping을 통한 EOG기반의 사용자 독립적 시선인식)

  • Chang, Won-Du;Im, Chang-Hwan
    • Journal of Korea Multimedia Society
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    • v.21 no.9
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    • pp.1119-1130
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    • 2018
  • Writing letters or patterns on a virtual space by moving a person's gaze is called "eye writing," which is a promising tool for various human-computer interface applications. This paper investigates the use of conventional eye writing recognition algorithms for the purpose of user-independent recognition of eye-written characters. Two algorithms are presented to build the user-independent system: eye-written region extraction using wavelet coefficients and template generation. The experimental results of the proposed system demonstrated that with dynamic positional warping, an F1 score of 79.61% was achieved for 12 eye-written patterns, thereby indicating the possibility of user-independent use of eye writing.

A Study on the Dynamic Stability of Air-to-Ground Missile Using the Free Vibration Technique (자유진동기법을 이용한 공대지 미사일의 동안정성에 관한 연구)

  • 박재현;백승욱;조환기;허원욱
    • Journal of the Korea Institute of Military Science and Technology
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    • v.2 no.2
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    • pp.61-69
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    • 1999
  • A dynamic stability test was performed to determine dynamic stability derivatives for the pure pitching motion of air-to-ground missile model in the low speed wind tunnel. The free vibration technique was employed to acquire oscillation characteristics of the model for damping coefficients. Damping coefficients are obtained by the method of logarithmic decrement. Results show good damping effects and stability capability at Mach numbers 0.1 and 0.2, with the angle of attack ranging from -15 to +20 degrees.

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Analysis of the Dynamic Characteristics of a HDD Spindle System Supported by Asymmetrically Grooved Journal Bearings (비대칭 그루브 저널 베어링으로 지지되는 하드디스크 스핀들 시스템의 동특성 해석)

  • 이상훈;김학운;장건희;김철순
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2004.05a
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    • pp.748-752
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    • 2004
  • Fluid dynamic bearings (FDBs) have been replacing ball bearings of the HDD spindle motor very rapidly. But there are several demerits of HDB, such as high friction torque, variable viscosity of the fluid lubricant depending on operating temperature, low stiffness, and etc. Eccentricity is one of the major parameters which affects the static and dynamic characteristics. As the static eccentricity is larger, the stiffness and the damping coefficients become bigger. But friction torque is relatively unaffected by the static eccentricity. This research proposes a new type of journal bearing with asymmetric journal grooves which results in better dynamic characteristics. The static and dynamic characteristics of the new journal bearing are investigated by solving the Reynolds' equation with FEM, and the transient analysis is performed to predict the dynamic behavior of rotor by solving the equations of motion of a HDD spindle system with Runge-Kutta method. The result shows that the proposed Journal bearings have much bigger stiffness and damping coefficients compared with the conventional symmetric ones. And consequently, it has smaller whirl radius and tilting angle.

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Research on the friction characteristics of multi purpose oils as mission (다용도 미션오일의 마찰특성에 관한 연구)

  • Myung, Byoung-Soo;Ryu, Hee-Bong;Lee, Yang-Kun
    • Journal of the Korean Society of Industry Convergence
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    • v.8 no.3
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    • pp.135-141
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    • 2005
  • The static friction coefficients of 4 samples against each different temperatures were similar values. Compared against RT, at $80^{\circ}C$ the static friction coefficients decreased from 0.130 to 0.116 that was equal from 88% to 90% of the static friction coefficients respectively. Otherwise the dynamic friction coefficients compared against RT, decreased from 0.138 to 0.088 which was from 71% to 77.5% respectively at $80^{\circ}C$. The noise characteristics were judged by s/d value. And when the s/d value was limited less than 0.8, noise concerns were released. At 3000 engaging cycles the static friction and the dynamic friction coefficient were 0.137 and 0.073 respectively. When plate pressure rose up to $195kg_f/cm^2$, the static friction coefficient decreased from 0.137 to 0.125 but this decreasing could be considered as stable. When speed rose up to 2200rpm, the static friction coefficient decrease from 0.14 to 0.13 but this decreasing could be considered as stable. At 3000 engaging cycles the amount of worn out was 0.04 : the thickness of disc was decrease from 4.72mm to 4.68mm. But regarding the normal operation condition, further more worn-out could not be expected. Therefore concerning worn-out, the basic oil could be considered as appropriate.

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Dynamic Characteristics and Instability of Submerged Plain Journal Bearings in accordance with the Cavitation Model (공동현상 모델에 따른 침수형 평면 저널베어링의 동특성 및 회전 안정성에 대한 연구)

  • Moonho Choi
    • Tribology and Lubricants
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    • v.39 no.4
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    • pp.139-147
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    • 2023
  • Cavitation phenomena observed during the operation of a submerged plain journal bearing (PJB) can affect bearing performance parameters such as dynamic coefficients, whirl frequency ratio, and critical mass. This study presents numerical solutions of the Reynolds equation for steadily and dynamically loaded submerged PJBs with half-Sommerfeld (HS), Reynolds, and Jakobsson-Floberg-Olsson (JFO) cavitation models when the supply pressure is larger or equal to the cavitation pressure. The loads at various eccentricity ratios are identical; however, the attitude angle is approximately 6% smaller when the eccentricity ratio is between 0.2 and 0.7 and the JFO model is used, compared to that when the Reynolds model is used. Dynamic coefficients obtained with the HS and Reynolds model show good agreement with each other, except for kxz, which is sensitive to changes in the force normal to the rotor weight, and is attributed to the difference in the attitude angle obtained with each cavitation model. Stiffness coefficients are determined using the pressure distribution in the film, and therefore, when the JFO model is used, the direct stiffness coefficients are affected and show opposite signs for most eccentricity ratios. The mass-conservative JFO model can predict at least a 30% smaller critical mass compared to that using the HS and Reynolds models. Thus, the instability analysis results can change based on the cavitation model used in a submerged PJB. The results of this research indicate that the JFO model should be used when designing a rotor system supported by submerged PJBs.

Analysis of the dynamic characteristics for the change of design parameters of an underwater vehicle using sensitivity analysis

  • Jeon, Myungjun;Yoon, Hyeon Kyu;Hwang, Junho;Cho, Hyeon Jin
    • International Journal of Naval Architecture and Ocean Engineering
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    • v.10 no.4
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    • pp.508-519
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    • 2018
  • In order to design the hull form of an underwater vehicle in the conceptual design phase, the dynamic characteristics depending on the hull form parameters should be identified. Course-keeping stability, turning ability, yaw-checking ability, and mission competence are set to be the indices of the dynamic characteristics, and the geometric parameters for the bare hull and rudder are set to be the hull form design parameters. The total sensitivity of the dynamic characteristics with respect to the hull form parameters is calculated by the chain rule of the partial sensitivity of the dynamic characteristics with respect to the hydrodynamic coefficients, and the partial sensitivity of the hydrodynamic coefficients with respect to the hull form parameters. Based on the sensitivity analysis, important hull form parameters are selected, and those optimal values to satisfy the required intercept time of mission competence of a specific underwater vehicle and turning rate are estimated.