• Title/Summary/Keyword: nonlinear exponent

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Nonlinear Dynamic Analysis of Cantilever Tube Conveying Fluid with System Identification

  • Lim, Jae-Hoon;Jung, Goo-Choong;Park, Yeon-Sun
    • Journal of Mechanical Science and Technology
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    • v.17 no.12
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    • pp.1994-2003
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    • 2003
  • The vibration of a flexible cantilever tube with nonlinear constraints when it is subjected to flow internally with fluids is examined by experimental and theoretical analysis. These kinds of studies have been performed to find the existence of chaotic motion. In this paper, the important parameters of the system leading to such a chaotic motion such as Young's modulus and the coefficient of viscoelastic damping are discussed. The parameters are investigated by means of system identification so that comparisons are made between numerical analysis using the design parameters and the experimental results. The chaotic region led by several period-doubling bifurcations beyond the Hopf bifurcation is also re-established with phase portraits, bifurcation diagram and Lyapunov exponent so that one can define optimal parameters for system design.

Lightning Impulse Current Characteristics of ZPCCD-based Varistors (ZPCCD계 바리스터의 뇌충격전류특성)

  • Park, Jong-Ah;Kim, Myung-Jun;Yoo, Dea-Hoon;Nahm, Choon-Woo
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2004.04b
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    • pp.175-178
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    • 2004
  • The microstructure, electrical, and clamping voltage characteristics of ZPCCD-based varistors were investigated at sintering time of 2 and 3 h. The average grain size and density of varistor were increased from 15.2 to 19.0 and from 5.5 to 5.6 $g/cm^3$ with sintering time, respectively. The nonlinear exponent was 65.4 for 2 h and 37.4 for 3 h, and leakage current was 0.54 ${\mu}A$ for 2 h and 0.67 ${\mu}A$ for 3 h. The dissipation factor was 0.0397 for 2 h and 0.0457 for 3 h. The clamping voltage ratio at surge current($8/20{\mu}s$) of 10~300 A was increased in the range of 1.56~2.17.

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A Behavior Analysis in the Circular Hybrid Subminiture Energy Harvesting Device (순환형 하이브리드 초소형 에너지 수확장치에서의 거동 해석)

  • Bae, Young-Chul
    • The Journal of the Korea institute of electronic communication sciences
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    • v.8 no.11
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    • pp.1691-1696
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    • 2013
  • In this paper, an analysis of behavior is performed in the circular hybrid energy harvesting device. This analysis of behavior is to confirm with or without an existence of nonlinear system because its system is required to produce the more energy. To do this, first of all the phase portrait is reconstructed through Taken's embedding method, and then Poincare map is organized by using phase portrait and finally Lyapunov exponent is analyzed.

On the characteristics of ZnO varistor system containing small amount of $Sb_2O_3$ and the effects of additives (미량의 $Sb_2O_3$ 를 포함하는 ZnO varistor계의 특성과 첨가물의 영향)

  • Choi, Jin-Hee;Jin, Hee-Chang;Mah, Jae-Pyung;Paek, Su-Hyon
    • Proceedings of the KIEE Conference
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    • 1987.07a
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    • pp.553-555
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    • 1987
  • In the standard system of low voltage-oriented ZnO varistor,a small amount of $Sb_2O_3$ was added to improve the nonlinear exponent and then to find the variation of breakdown characteristics, 0.1m/o-SiO and 0.1m/o-$TiO_2$, respectively,were added We considered relationship between the breakdown voltage of systems and the microstructure. We found that the system containing 0.1m/o-$Sb_2O_3$ showed very high nonlinear exponent. And we found that SiO enhanced breakdown voltage and $TiO_2$ lowered it.

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1/f scaling exponent of EEG depending on different sensitivities of behavioral activation and inhibition systems for young and elderly groups (청년층과 노인층의 행동활성화체계 및 행동억제체계 민감도에 따른 뇌파의 1/f 스케일링 분석)

  • Jin Seung-Hyun;Kim Wuon-Shik;Noh Gi-Young
    • Science of Emotion and Sensibility
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    • v.8 no.4
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    • pp.415-422
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    • 2005
  • The purpose of the present study was to investigate the differences of nonlinear characteristics of electroencephalogram (EEG) depending on different sensitivities of behavioral activation system (BAS) and behavioral inhibition system (BIS) of young and elderly groups. The EEGs from Fpl and Fp2 electrodes were recorded during resting condition. The young and elderly groups consisted of 19 and 31 healthy right-handed volunteers, respectively. We estimated 1/f scaling exponent which reflects the nonlinear dynamical complexity of EEG. As results, we found the differences of 1/f scaling exponent between young ant elderly BAS sensitive groups. The 1/f scaling exponent of young BAS sensitive group showed significantly higher values than those of elderly BAS sensitive group at the left prefrontal area (Fpl). The young BAS sensitive group had also a tendency to higher 1/f scaling exponent at the right prefrontal area (Fp2). Decrease of the 1/f scaling exponent indicates the increase of complexity and the decrease of the amount of information related to the statistical distribution. Therefore, the elderly BAS sensitive group has higher complexity than young BAS sensitive group, though they were all classified as BAS sensitive group by BAS/BIS scale. Our results suggest the possibility of correlation between BAS sensitivity an4 age.

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Effects of Total Sleep Deprivation on the First Positive Lyapunov Exponent of the Waking EEG

  • Kim, Dai-Jin;Jeong, Jae-Seung;Chae, Jeong-Ho;Kim, Soo-Yong;Go, Hyo-Jin;Paik, In-Ho
    • Science of Emotion and Sensibility
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    • v.1 no.1
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    • pp.69-78
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    • 1998
  • Sleep deprivation may affect the brain functions such as cognition and consequently, dynamics of the BEG. We examined the effects of sleep deprivation on chaoticity of the EEG. Five volunteers were sleep-deprived over a period of 24 hours They were checked by EEG during two days. thc first day of baseline period and the second day of total sleep deprivation period. EEGs were recorded from 16 channels for nonlinear analysis. We employed a method of minimum embedding dimension to calculate the first positive Lyapunov exponent. Fer limited noisy data, this algorithm was strikingly faster and more accurate than previous ones. Our results show that the sleep deprived volunteers had lower values of the first positive Lyapunov exponent at ten channels (Fp1, F4. F8. T4, T5. C3, C4. P3. P4. O1) compared with the values of baseline periods. These results suggested that sleep deprivation leads to decrease of chaotic activity in brain and impairment of the information processing in the brain. We suggested that nonlinear analysis of the EEG before and after sleep deprivation may offer fruitful perspectives for understanding the role if sleep and the effects of sleep deprivation on the brain function.

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Effect of Sintering Time on Degradation Characteristics of ZPCCY-Based Varistors (ZPCCY계 바리스터의 열화특성에 미치는 소결시간의 영향)

  • 남춘우;박종아
    • Journal of the Korean Ceramic Society
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    • v.41 no.6
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    • pp.464-470
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    • 2004
  • The electrical stability of ZPCCY-based varistors composing of ZnO-Pr$_{6}$O$_{11}$-CoO-C $r_2$ $O_3$- $Y_2$ $O_3$ ceramics were investigated in various DC accelerated aging stress with sintering times. Sintering time greatly affected electrical properties and stability. Sintering time decreased nonlinear exponent in the range of 51.2∼23.8 and increased leakage current in the range of 1.3∼5.6 ${\mu}$A. The varistor sintered for 1 h exhibited high nonlinearity, whereas relatively low stability. On the contrary, the varistor sintered for 3 h exhibited low nonlinearity, whereas relatively high stability. But the varistor sintered for 2 h exhibited not only good nonlinearity, with nonlinear exponent of 38.6 and leakage current of 3.6 ${\mu}$A but also high stability, in which the variation rates of varistor voltage, nonlinear exponent, leakage current, and dissipation factor are -0.80%, -1.81 %, +74.4%, and +0.88%, respectively.

A study on the Microstructure and electrical characteristics of ZnO varistors for arrester (피뢰기용 ZnO 바리스터 소자의 미세구조 및 전기적 특성에 관한 연구)

  • 김석수;조한구;박태곤;박춘현
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2001.07a
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    • pp.489-494
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    • 2001
  • In this thesis, the microstructure and electrical properties of ZnO varistors were investigated according to ZnO varistors with various formulation. A∼E's ZnO varistor ceramics were exhibited good density, 95% of theory density and low porosity, 5%, wholly. The average grain size of A-E's ZnO varistor ceramics exhibited 11.89$\mu\textrm{m}$, 13.57$\mu\textrm{m}$, 15.44$\mu\textrm{m}$, 11.92$\mu\textrm{m}$, 12.47$\mu\textrm{m}$, respectively. Grain size of C's ZnO varistor is larger and grain size of A and D's are smaller than other varistors. In the microstructure, A∼E's ZnO varistor ceramics sintered at l130$^{\circ}C$ was consisted of ZnO grain(ZnO), spinel phase(Zn$\sub$2.33/Sb$\sub$0.67/O$_4$), Bi-rich Phase(Bi$_2$O$_3$) and inergranular phase, wholly. Reference voltage of A∼E's ZnO varistor sintered at 1130$^{\circ}C$ decreased in order D, E > A > B > C's ZnO varistors. Nonlinear exponent of varistors exhibited high characteristics, above 30, wholly. Consequently, C's ZnO varistor exhibited good nonlinear exponent, 68. Lightning impulse residual voltage of A, B, C and E's ZnO varistors suited standard characteristics, below 12kV at current of 5kA.

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Stability Of $ZnO-Pr_{6}O_{11}-CoO-Cr_{2}O_{3}-Y_{2}O_{3}$Based Varistors with Cooling Rate (냉각속도에 따른 $ZnO-Pr_{6}O_{11}-CoO-Cr_{2}O_{3}-Y_{2}O_{3}$계 바리스터의 안정성)

  • 류정선;정영철;김향숙;남춘우
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2001.07a
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    • pp.410-414
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    • 2001
  • The microstructure, V-I characteristics, and stability of ZnO-Pr$_{6}$O$_{11}$-CoO-Cr$_2$O$_3$-Y$_2$O$_3$based vairstors were investigated with cooling rate in the range of 2~8$^{\circ}C$/min. The cooling rate relatively weakly affected the microstructure, and the varistor voltage and the leakage current in the V-I chracteristics. But the nonlinear exponent relatively strongly affected by cooling rate. And the cooling rate also greatly affected the stability for DC stress. In gross, the varistors cooled with 4$^{\circ}C$/min exhibited the highest performance in the densification, nonlinearity, and stability. Especially, they exhibited a high stability, in which the variation rate of the varistor voltage and the nonlinear exponent is -1.44% and -4.85%, respectively, under more severe DC stress such as (0.80 V$_{1mA}$9$0^{\circ}C$/12 h)+(0.85 V$_{1mA}$115$^{\circ}C$/12 h)\`(0.90 V$_{1mA}$12$0^{\circ}C$/12 h)+(0.95 V$_{1mA}$1$25^{\circ}C$/12 h)+(0.95 V$_{1mA}$15$0^{\circ}C$/12 h). It should be emphasized that the stability of these varistors is much superior to that of others.s.of others.s.

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Effect of Sintering Temperature on Electrical Properties of $Pr_{6}O_{11}$-Based ZnO Varistors ($Pr_{6}O_{11}$계 ZnO 바리스터의 전기적 성질에 소결온도의 영향)

  • 남춘우;류정선
    • Journal of the Korean Institute of Electrical and Electronic Material Engineers
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    • v.14 no.7
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    • pp.572-577
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    • 2001
  • The electrical properties of Pr$_{6}$ O$_{11}$ -based ZnO varistors consisting of ZnO-Pr$_{6}$ O$_{11}$ -CoO-Cr$_2$O$_3$-Er$_2$O$_3$ ceramics were investigated with sintering temperature in the range of 1325~f1345$^{\circ}C$. As sintering temperature is raised., the nonlinear exponent was increased up to 1335$^{\circ}C$, reaching a maximum 70.53, whereas raising sintering temperature further caused it to decrease, reaching a minimum 50.18 and the leakage current was in the range of 1.92~4.12 $\mu$A. The best electrical properties was obtained from the varistors sintered at 1335$^{\circ}C$, exhibiting a maximum (70.53) in the nonlinear exponent and a minimum (1.92 $\mu$A) in the leakage current, and a minimum (0.035) in the dissipation factor. On the other hand, the donor concentration was in the range of (0.90~1.14)x10$^{18}$ cm$^{-3}$ , the density of interface states was in the range of (2.69~3.60)x10$^{12}$ cm$^{-2}$ , and the barrier height was in the range of 0.77~1.21 eV with sintering temperature. With raising sintering temperature, the variation of C-V characteristic parameters exhibited a mountain type, reaching maximum at 134$0^{\circ}C$. Conclusively, it was found that the V-I, C-V, and dielectric characteristics of Pr$_{6}$ O$_{11}$ -based ZnO varistors are affected greatly by sintering temperature.

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