• 제목/요약/키워드: nonlinear scaling

검색결과 122건 처리시간 0.031초

A size-dependent study on buckling and post-buckling behavior of imperfect piezo-flexomagnetic nano-plate strips

  • Momeni-Khabisi, Hamed;Tahani, Masoud
    • Advances in nano research
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    • 제12권4호
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    • pp.427-440
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    • 2022
  • In the present study, the nonlocal strain gradient theory is used to predict the size-dependent buckling and post-buckling behavior of geometrically imperfect nano-scale piezo-flexomagnetic plate strips in two modes of direct and converse flexomagnetic effects. The first-order shear deformation plate theory is used to analyze analytically nano-strips with simply supported boundary conditions. The nonlinear governing equations of equilibrium and associated boundary conditions are derived using the principle of minimum total potential energy with consideration of the von Kármán-type of geometric nonlinearity. A closed-form solution of governing differential equation is obtained, which is easily usable for engineers and designers. To validate the presented formulations, whenever possible, a comparison with the results found in the open literature is reported for buckling loads. A parametric study is presented to examine the effect of scaling parameters, plate slenderness ratio, temperature, the mid-plane initial rise, flexomagnetic coefficient, different temperature distributions, and magnetic potential, in case of the converse flexomagnetic effect, on buckling and post-buckling loads in detail.

A Computational Model of the Temperature-dependent Changes in Firing Patterns in Aplysia Neurons

  • Hyun, Nam-Gyu;Hyun, Kwang-Ho;Hyun, Kwang-Beom;Han, Jin-Hee;Lee, Kyung-Min;Kaang, Bong-Kiun
    • The Korean Journal of Physiology and Pharmacology
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    • 제15권6호
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    • pp.371-382
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    • 2011
  • We performed experiments using Aplysia neurons to identify the mechanism underlying the changes in the firing patterns in response to temperature changes. When the temperature was gradually increased from $11^{\circ}C$ to $31^{\circ}C$ the firing patterns changed sequentially from the silent state to beating, doublets, beating-chaos, bursting-chaos, square-wave bursting, and bursting-oscillation patterns. When the temperature was decreased over the same temperature range, these sequential changes in the firing patterns reappeared in reverse order. To simulate this entire range of spiking patterns we modified nonlinear differential equations that Chay and Lee made using temperature-dependent scaling factors. To refine the equations, we also analyzed the spike pattern changes in the presence of potassium channel blockers. Based on the solutions of these equations and potassium channel blocker experiments, we found that, as temperature increases, the maximum value of the potassium channel relaxation time constant, ${\tau}_n(t)$ increases, but the maximum value of the probabilities of openings for activation of the potassium channels, n(t) decreases. Accordingly, the voltage-dependent potassium current is likely to play a leading role in the temperature-dependent changes in the firing patterns in Aplysia neurons.

폐쇄성 수면 무호흡증의 심각도와 심박동 변이율 : 탈경향변동분석 (Severity of Obstructive Sleep Apnea and Heart Rate Variability : Detrended Fluctuation Analysis)

  • 주가원;신철진;박두흠
    • 생물정신의학
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    • 제16권2호
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    • pp.69-75
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    • 2009
  • Objectives : The detrended fluctuation analysis is one of the nonlinear methods for the investigation of biological time series. It quantifies the fractal scaling properties and is known to be useful in the evaluation of long-range correlations in time series. The heart rate variability(HRV) of obstructive sleep apnea syndrome (OSAS) patients during nighttime was analyzed by detrended fluctuation analysis to assess its relationship with the severity of the symptoms. Methods : Fifty nine untreated male OSAS patients with moderate to severe symptoms(mean age=45.4${\pm}$11.7 years, apnea-hypopnea index, AHI${\geq}$15) underwent nocturnal polysomnography. Moderate(AHI=15-30, N=22) and severe(AHI>30, N=37) OSAS patients were compared for the indices derived from detrended fluctuation analysis and frequency domain analysis of HRV. Results : In the detrended fluctuation analysis, the alpha values were 0.75${\pm}$0.11 and 0.82${\pm}$0.07 for the severe and the moderate OSAS groups respectively. The difference was significant(p<.01). The alpha value had negative correlation with AHI(r=-.425, p=.001). Negative correlation coefficients were also found in the relationships between the alpha values and very low frequency(VLF)(r=-.425, p=.001), low frequency(LF)(r=-.633, p= <.001) and the LF/HF ratio(r=-.305, p=.019) respectively. LF/HF ratio(p=.005) was higher in the severe OSAS group compared to that of the moderate OSAS group. Conclusion : In this study, the detrended fluctuation analysis showed the significant difference between the two OSAS groups classified according to their severity of symptoms. The scaling exponent showed the negative correlation with AHI and indicies of frequency domain analysis. This result suggests that detrended fluctuation analysis can be helpful to estimate the severity of OSAS.

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정상인 수면 뇌파 탈경향변동분석 (Detrended Fluctuation Analysis on Sleep EEG of Healthy Subjects)

  • 신홍범;정도언;김의중
    • 수면정신생리
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    • 제14권1호
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    • pp.42-48
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    • 2007
  • 목 적:뇌파의 비선형적 특성을 연구하는 방법으로 탈경향 변동분석이 사용되고 있다. 본 연구에서는 정상인 수면 뇌파에 탈경향변동분석을 적용하여 수면뇌파의 비선형적 특성, 채널 별 차이, 수면단계별 차이를 규명하고자 하였다. 방 법:정상인 12명($23.8{\pm}2.5$세, 남:여=7:5)를 대상으로 야간수면다원검사를 시행하였다. 수면다원검사를 통해 얻어진 뇌파를 채널 별, 수면단계별로 나누어 탈경향변동분석 시행 후 여기서 얻어진 축척지수(scaling exponent)를 선형혼합모형 분석을 통해 비교하였다. 결 과:정상인 수면다원검사에서 얻어진 뇌파의 축척지수는 1 내외의 값을 보여 장기-시간적연관성, 자기유사성을 보였다. C3 채널의 축적지수가 O1채널의 축적지수보다 높은 값을 보였다. 수면단계가 진행함에 따라 축적지수는 증가하였으며, 1단계 수면과 렘수면은 축적지수는 통계적 차이를 보이지 않았다. 결 론:정상인 수면 뇌파는 탈경향변동분석에서 무축척요동(scale-free fluctuation), 장기-시간적 관련성(long-range temporal correlation), 자기유사성(self-similarity) 및 스스로 짜여진 고비성(self-organized criticality) 등의 비선형적 특성을 보였다. 탈경향변동분석에서 얻어진 축적지수는 뇌파 채널 별, 수면단계별 차이를 보여 수면 뇌파를 연구하는 중요한 도구로 사용될 수 있다.

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A Study of Globular Cluster Systems in the Coma, Fornax, and Virgo Clusters of Galaxies from HST ACS and WFC3/IR Imaging

  • Cho, Hyejeon
    • 천문학회보
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    • 제42권1호
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    • pp.29.1-29.1
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    • 2017
  • I present new near-infrared (NIR) photometry of globular cluster (GC) systems associated to a cD galaxy NGC 4874 in the core of the Coma cluster and 16 early-type galaxies in the Fornax and Virgo clusters of galaxies using the Infrared Channel of the Wide Field Camera 3 (WFC3/IR) on board the Hubble Space Telescope (HST). Combining these high-resolution NIR data with new HST Advanced Camera for Surveys (ACS) optical photometry for NGC 4874 and existing ACS GC catalogs from the ACS Fornax and Virgo Cluster Surveys, I have examined for the first time the GC systems in a statistically significant optical/NIR sample of galaxies spanning a wide range of luminosities and colors. A primary goal of this study is to explore empirically whether the distributions of purely optical and hybrid optical - NIR color indices for extragalactic GCs have different forms and whether the relations between these color indices are nonlinear, indicating that they behave differently with underlying metallicity. I find that some GC systems of large galaxies in our sample show color bimodalities that differ between the optical and optical - NIR colors, in the sense that they have disparate ratios of "blue" and "red" peak GCs, as well as differing ratios in their color dispersions. Consistent with these results, I find empirically that the dependence of hybrid optical-NIR color on purely optical color is nonlinear, with an inflection at intermediate metallicities. These findings underscore the importance of understanding the nature of galaxy-to-galaxy variations in the GC color distributions and color-color relations, as well as the exact forms of the color-metallicity transformations, in interpreting the observational data on GC color bimodality. Our ACS data for NGC 4874 shows that its GC system exhibits a very strong blue tilt, implying a very steep mass-metallicity scaling, and the centroid of this GC system is offset by $4{\pm}1kpc$ from the luminosity center of NGC 4874, in the direction of NGC 4872. Finally, I discuss the asymmetrical GC distribution around a dwarf elliptical galaxy in Coma that has a very high relative velocity with respect to the cluster mean at small clustercentric radius.

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Ground response analysis of a standalone soil column model for IDA of piled foundation bridges

  • Hazem W. Tawadros;Mousa M. Farag;Sameh S.F. Mehanny
    • Earthquakes and Structures
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    • 제24권4호
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    • pp.289-301
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    • 2023
  • Developing a competent soil-bridge interaction model for the seismic analysis of piled foundation bridges is of utmost importance for investigating the seismic response and assessing fragility of these lifeline structures. To this end, ground motion histories are deemed necessary at various depths along the piles supporting the bridge. This may be effectively accomplished through time history analysis of a free-field standalone soil column extending from bedrock level to ground surface subjected to an input bedrock motion at its base. A one-dimensional site/ground response analysis (vide one-directional shear wave propagation through the soil column) is hence conducted in the present research accounting for the nonlinear hysteretic behavior of the soil stratum encompassing the bridge piled foundation. Two homogeneous soil profiles atop of bedrock have been considered for comparison purposes, namely, loose and dense sand. Analysis of the standalone soil column has been performed under a set of ten selected actual bedrock ground motions adopting a nonlinear time domain approach in an incremental dynamic analysis framework. Amplified retrieved PGA and maximum soil shear strains have been generally observed at various depths of the soil column when moving away from bedrock towards ground surface especially at large hazards associated with high (input) PGA values assigned at bedrock. This has been accompanied, however, by some attenuation of the amplified PGA values at shallower depths and at ground surface especially for the loose sand soil and particularly for cases with higher seismic hazards associated with large scaling factors of bedrock records.

Seismic damage assessment of a large concrete gravity dam

  • Lounis Guechari;Abdelghani Seghir;Ouassila Kada;Abdelhamid Becheur
    • Earthquakes and Structures
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    • 제25권2호
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    • pp.125-134
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    • 2023
  • In the present work, a new global damage index is proposed for the seismic performance and failure analysis of concrete gravity dams. Unlike the existing indices of concrete structures, this index doesn't need scaling with an ultimate or an upper value. For this purpose, the Beni-Haroun dam in north-eastern Algeria, is considered as a case study, for which an average seismic capacity curve is first evaluated by performing several incremental dynamic analyses. The seismic performance point of the dam is then determined using the N2 method, considering multiple modes and taking into account the stiffness degradation. The seismic demand is obtained from the design spectrum of the Algerian seismic regulations. A series of recorded and artificial accelerograms are used as dynamic loads to evaluate the nonlinear responses of the dam. The nonlinear behaviour of the concrete mass is modelled by using continuum damage mechanics, where material damage is represented by a scalar field damage variable. This modelling, which is suitable for cyclic loading, uses only a single damage parameter to describe the stiffness degradation of the concrete. The hydrodynamic and the sediment pressures are included in the analyses. The obtained results show that the proposed damage index faithfully describes the successive brittle failures of the dam which increase with increasing applied ground accelerations. It is found that minor damage can occur for ground accelerations less than 0.3 g, and complete failure can be caused by accelerations greater than 0.45 g.

초음파의 비선형 특성을 이용한 콘크리트 동결융해 손상 평가 (Evaluation of Freeze-Thaw Damage on Concrete Using Nonlinear Ultrasound)

  • 최하진;김률리;이종석;민지영
    • 한국구조물진단유지관리공학회 논문집
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    • 제25권4호
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    • pp.56-64
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    • 2021
  • 구조체 열화, 손상 등에 의해 발생하는 누수는 동결융해에 의한 체적 변화를 유발하는 주요 원인 중 하나이며, 콘크리트 내부의 미세균열, 표면 스케일링 등을 유발한다. 이러한 손상은 염화물 등 외기 유해물질 침투 및 확산을 가속화시킨다. 시설물 성능평가 세부지침(2020)에서 피복 콘크리트 품질과 동해환경 지표가 새롭게 제시되었으며, 피복 콘크리트 품질은 반발경도시험으로, 동해환경은 동결융해 싸이클 수로 평가한다. 본 논문에서는 빠른 동특성 기반 초음파 비선형성을 통해 동결융해에 의한 초기 미세손상을 평가하고자 하였다. 서로 다른 물-시멘트비(40%, 60%)와 공기량(1.5%, 3.0%)을 가지는 콘크리트 시험체를 제작하고, 동결융해 싸이클 수를 증가시키며 압축강도, 반발경도, 상대동 탄성계수, 초음파 비선형성을 측정하였으며, SEM을 활용하여 미세균열 발생 및 진전을 분석하였다. 그 결과, 상대동탄성계수 및 반발경도로는 확인이 어려웠던 초기 미세손상을 공진주파수 비선형성 측정을 통해 탐지할 수 있었으며, 콘크리트의 동결융해 저항성능을 예측할 수 있다는 가능성을 확인하였다.

컨택트 작업 시 햅틱 인터렉션의 투명성 향상을 위한 Virtual Coupling 기법의 설계 (Toward Transparent Virtual Coupling for Haptic Interaction during Contact Tasks)

  • 김명신;이동준
    • 로봇학회논문지
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    • 제8권3호
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    • pp.186-196
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    • 2013
  • Since its introduction (e.g., [4, 6]), virtual coupling technique has been de facto way to connect a haptic device with a virtual proxy for haptic rendering and control. However, because of the single dependence on spring-damper feedback action, this virtual coupling suffers from the degraded transparency particularly during contact tasks when large device/proxy-forces are involved. In this paper, we propose a novel virtual coupling technique, which, by utilizing passive decomposition, reduces device-proxy position deviation even during the contact tasks while also scaling down (or up) the apparent inertia of the coordinated device-proxy. By doing so, we can significantly improve transparency between multiple degree of freedom (possibly nonlinear) haptic device and virtual proxy. In other to use passive decomposition, disturbance observer of [3] is adopted to estimate human force with some dead-zone modification to avoid "winding-up" force estimation in the presence of device torque saturation. Some preliminary experimental results are also given to illustrate efficacy of the proposed technique.

하이브리드 퍼지제어기의 설계를 위한 최적 자동동조알고리즘 (Optimal Auto-tuning Algorithm for Design of a Hybrid Fuzzy Controller)

  • 김중영;이대근;오성권;김현기
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1999년도 하계학술대회 논문집 B
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    • pp.501-503
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    • 1999
  • In this paper, the design method of a hybrid fuzzy controller with an optimal auto-tuning method is proposed. The conventional PID controller becomes so sensitive to the control environments and the change of parameters that the efficiency of its utility for the complex and nonlinear plant has been questioned in transient state. In this paper, first, a hybrid fuzzy logic controller(HFLC) is proposed. The control input of the system in the HFLC is a convex combination by a fuzzy variable of the FLC's output in transient state and the PID's output in steady state. Second, a powerful auto-tuning algorithm is presented to automatically improve the Performance of controller, utilizing the improved complex method and the genetic algorithm. The algorithm estimates automatically the optimal values of scaling factors and PID coefficients. Controllers are applied to the plants with time-delay and the DC servo motor Computer simulations are conducted at the step input and the system performances are evaluated in the ITAE.

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