• Title/Summary/Keyword: logarithmic decrement

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Rotordynamic Performance Analysis and Operation Test of a Power Turbine for the Super critical CO2 Cycle Application (초임계 CO2 발전용 파워 터빈의 회전체 동역학 해석 및 구동 시험)

  • Lee, Donghyun;Kim, Byungok;Sun, Kyungho;Lim, Hyungsoo
    • Tribology and Lubricants
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    • v.33 no.1
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    • pp.9-14
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    • 2017
  • This paper presents a rotordynamic analysis and the operation of a power turbine applied to a 250 kW super-critical $CO_2$ cycle. The power turbine consists of a turbine wheel and a shaft supported by two fluid film bearings. We use a tilting pad bearing for the power turbine owing to the high speed operation, and employ copper backing pads to improve the thermal management of the bearing. We conduct a rotordynamic analysis based on the design parameters of the power turbine. The dynamic coefficients of the tilting pad bearings were calculated based on the iso-thermal lubrication theory and turbine wheel was modeled as equivalent inertia. The predicted Cambell diagram showed that there are two critical speeds, namely the conical and bending critical speeds under the rated speed. However, the unbalance response prediction showed that vibration levels are controlled within 10 mm for all speed ranges owing to the high damping ratio of the modes. Additionally, the predicted logarithmic decrement indicates that there is no unstable mode. The power turbine uses compressed air at a temperature of $250^{\circ}C$ in its operation, and we monitor the shaft vibration and temperature of the lubricant during the test. In the steady state, we record a temperature rise of $40^{\circ}C$ between the inlet and outlet lubricant and the measured shaft vibration shows good agreement with the prediction.

Stability Analysis of Floating Ring Bearing Supported Turbocharger (플로팅 링 베어링으로 지지된 터보차저 로터의 안정성 해석)

  • Lee, Donghyun;Kim, Youngcheol;Kim, Byungok
    • Tribology and Lubricants
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    • v.31 no.6
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    • pp.302-307
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    • 2015
  • The use of turbocharger in internal combustion engines has increased as it is a key components for improving system efficiency without increasing engine size. Because of increasing demand, many studies have evaluated rotordynamic performance so as to increase rotation speed. This paper presents a linear and nonlinear analysis model for a turbocharger rotor supported by a floating ring bearing. We constructed rotor model by using the finite element method and approximated bearings as being infinitely short. In the linear model, we considered fluid film force as stiffness and damping element. In nonlinear analysis, calculation of the fluid film force involved solving the time dependent Reynolds equation. We verified the developed model by comparing the results to those of previous research. The analysis results show that there are four unstable modes, which are rigid body modes combining ring and rotor motion. As the rotating speed increases, the logarithmic decrement shows that certain unstable modes goes into the stable area or the stable mode goes into the unstable area. These unstable modes appear as sub-synchronous vibrations in nonlinear analysis. In nonlinear analysis frequency jump phenomenon demonstrated in several experimental studies appears. The analysis results also showed that frequency jump phenomenon occurs when the vibration mode changes and the sequence of unstable mode matches the linear analysis result. However, the natural frequency predicted using linear analysis differs from those obtained using nonlinear analysis.

Stability Characteristics of Supercritical High-Pressure Turbines Depending on the Designs of Tilting Pad Journal Bearings

  • Lee, An Sung;Jang, Sun-Yong
    • Tribology and Lubricants
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    • v.37 no.3
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    • pp.99-105
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    • 2021
  • In this study, for a high-pressure turbine (HPT) of 800 MW class supercritical thermal-power plant, considering aerodynamic cross-coupling, we performed a rotordynamic logarithmic decrement (LogDec) stability analysis with various tilting pad journal bearing (TPJB) designs, which several steam turbine OEMs (original equipment manufacturers) currently apply in their supercritical and ultra-supercritical HPTs. We considered the following TPJB designs: 6-Pad load on pad (LOP)/load between pad (LBP), 5-Pad LOP/LBP, Hybrid 3-Pad LOP (lower 3-Pad tilting and upper 1-Pad fixed), and 5-Pad LBPs with the design variables of offset and preload. We used the API Level-I method for a LogDec stability analysis. Following results are summarized only in a standpoint of LogDec stability. The Hybrid 3-Pad LOP TPJBs most excellently outperform all the other TPJBs over nearly a full range of cross-coupled stiffness. In a high range of cross-coupled stiffness, both the 6-Pad LOP and 5-Pad LOP TPJBs may be recommended as a practical conservative bearing design approach for enhancing a rotordynamic stability of the HPT. As expected, in a high range of cross-coupled stiffness, the 6-Pad LBP TPJBs exhibit a better performance than the 5-Pad LBP TPJBs. However, contrary to one's expectation, notably, the 5-Pad LOP TPJBs exhibit a slightly better performance than the 6-Pad LOP TPJBs. Furthermore, we do not recommend any TPJB design efforts of either increasing a pad offset from 0.5 or a pad preload from 0 for the HPT in a standpoint of stability.

Muscle Elasticity Changes in the Presence or Absence of Elastic Band Resistance During Bridge Exercise Using Gymball (짐볼을 이용한 교각운동 시 탄성밴드 저항 유·무에 따른 근탄성도의 변화)

  • Kim, Myung-Chul;Huh, Jun;Kim, Hae-In
    • Journal of The Korean Society of Integrative Medicine
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    • v.9 no.3
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    • pp.145-153
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    • 2021
  • Purpose : The purpose of this study was to compare and analyze whether there are changes in muscle elasticity when resistance using an elastic band is present or absent during a bridge exercise on an unstable surface with a gymball. Methods : Eighteen healthy adult college students attending E University in Gyeonggi-do, who voluntarily agreed to participate were included in this study. The subjects were instructed to perform the bridge exercise using a gymball both without resistance and with resistance using an elastic band. Myoton was used during the exercise to measure the elasticity of the rectus abdominis and biceps femoris muscles. Results : There was a significant difference in the stiffness of the rectus abdominis muscle on both sides before and after using the elastic band (p<.05). however, no significant difference was observed in the biceps femoris on either side (p>.05). Based on the evaluation of the frequency before and after using the elastic band, no significant difference was observed between the rectus abdominis and biceps femoris muscles on both sides (p>.05). The logarithmic decrement was significantly different in the right rectus abdominis muscle (p<.05), and there was no significant difference in the left rectus abdominis and both biceps femoris (p>.05). Conclusion : Resistance exercise using an elastic band is more effective in improving elasticity of the rectus abdominis muscle than without a elastic band during bridge exercise with a gymball.

The effects of two different visual feedback exercise tools based on rehabilitative ultrasound imaging in the elderly

  • Shin, Jang-Hoon;Lee, Wan-Hee
    • Physical Therapy Rehabilitation Science
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    • v.9 no.4
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    • pp.287-294
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    • 2020
  • Objective: This study aimed to investigate the effects of an ultrasound-based bar graph proportional to the quadriceps muscle thickness as a real-time visual feedback training tool in the elderly. Design: Cross-sectional study. Methods: Twenty-four elderly persons participated in this study and were randomly divided into three groups: oral training group (n=8, group 1), ultrasound imaging group (n=8, group 2), and graph group (n=8, group 3). In the pre condition, all participants performed maximal voluntary isometric contraction (MVIC) of the quadriceps with knee extension three times with oral training. In the post condition, group 1 performed MVIC of the quadriceps with oral training, group 2 performed MVIC of the quadriceps with real-time visual feedback using ultrasound imaging, and group 3 performed MVIC of the quadriceps with real-time visual feedback using a bar graph proportional to the quadriceps muscle thickness, three times for all groups. Muscle thickness, activity (mean, peak), tone, stiffness, logarithmic decrement, relaxation, and creep were measured in both conditions in all participants. Results: Visual feedback with a bar graph showed significant effects on muscle thickness, mean muscle activity, and peak muscle activity compared with oral training and visual feedback with ultrasound imaging (p<0.05). Conclusions: Isometric training of the quadriceps with real-time visual feedback using a bar graph proportional to the quadriceps muscle thickness may be more effective than other methods in improving muscle thickness and muscle activity. This study presented a tool that can help increase muscle thickness in the elderly.

Vibration testing using the movement of a 60ton crane for the evaluation the stability of nearby stone cultural heritage. (60톤 크레인의 주행 진동 실험을 통한 인접 석조 문화재의 안정성 평가)

  • Lee, Ga-Yoon;Ra, Young-Eun;Lee, Jong-Hak;Lee, Sung-Min;Lee, Kihak
    • Journal of Korean Association for Spatial Structures
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    • v.24 no.1
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    • pp.47-55
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    • 2024
  • The aim of this study is to evaluate the possibility of damage to cultural assets resulting from vibrations generated by construction vehicle traffic. The cultural heritage's natural vibration frequency was determined to be 150Hz by measurement. The damping ratios were calculated as 4.7% using the logarithmic decrement approach and 4.3% using the half-power method. The vibration measurements obtained during vehicle operation indicated that, despite an increase in vehicle velocity of up to 15 km/h, the vibrations remained below the detectable level of 0.13 mm/sec. When the road is curved and the terrain is sloped, a suitable speed for vehicle operation was found to be around 17 km/h, at which point vibrations were seen. The highest recorded vibration amplitude at this velocity was 0.217 mm/sec, which remains below the stringent regulation limit of 2 mm/sec. Thus, it can be concluded that there is no actual harm caused by vibrations.