• 제목/요약/키워드: Sine Series

검색결과 67건 처리시간 0.031초

행복의 수학적 모델링과 비선형 해석 (Mathematical Modelling of Happiness and its Nonlinear Analysis)

  • 김순환;최선경;배영철;박영호
    • 한국전자통신학회논문지
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    • 제9권6호
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    • pp.711-717
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    • 2014
  • 행복은 사회학과 심리학에서 주된 관심사로 연구되어 왔다. 본 논문에서는 Spring-Damper-Mass 시스템과 등가적으로 구성할 수 있는 새로운 2차계로 구성한 행복 모델을 제안하여 Duffing 방정식과 동일한 형태의 2차원 모델로 구성한다. Duffing 방정식에 비선형 항을 추가하고 행복 현상이 나타날 수 있는 외부 신호로서 주기적인 정현파와 가우시안 백색 잡음을 인가하였다. 그런 후 새로운 행복 모델에서 파라미터 변화에 따라 랜덤 운동, 주기 운동, 카오스 운동이 있음을 확인하였다.

저가형 적외선 거리 센서를 이용한 선도-추종 로봇시스템에서 선도로봇의 위치인식 (Positioning of a Leader Robot in a Leader-Follower Robot Using Low-Cost Infrared(IR) Distance Sensors)

  • 바트토야;장문석;차동혁
    • 전기전자학회논문지
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    • 제24권1호
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    • pp.275-283
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    • 2020
  • 본 연구에서는 저가형 소형 이동로봇을 이용한 선도-추종 로봇시스템을 개발하였다. 개발한 이동로봇은 시중에서 쉽게 구할 수 있는 저렴한 부품을 사용하여 학교나 실험실 등에서 쉽고 빠르게 제작할 수 있는 장점이 있다. 그리고 이 로봇에 장착된, 7개의 저가형 적외선 거리 센서로 구성된 센서 어레이의 위치인식 특성을 분석하고, 이를 기반으로 선도로봇의 위치인식 알고리즘을 제안하였다. 개발한 선도-추종 로봇을 이용한 정지 및 주행 실험을 통해 제안된 알고리즘의 타당성을 검증하였다.

회전형 초음파모터의 소형 위상차 제어기 개발 (Development of Compact Phase-difference Controller for an Ultrasonic Rotary Motor)

  • 이동창;이명훈;이의학;이선표
    • 한국정밀공학회지
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    • 제23권8호
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    • pp.64-71
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    • 2006
  • In this paper, a uniform speed controller for an ultrasonic rotary motor is developed using the phase-difference method. The phase difference method uses traveling waves to drive the ultrasonic motor. The traveling waves are obtained by adding two standing waves that have a different phase to each other. A compact phase-difference driver system is designed and integrated by combining VCO(Voltage Controlled Oscillator) and phase shifter. Theoretically the relationship between the phase difference in time and the rotational speed of the ultrasonic motor is sine function, which is verified by experiments. Then a series of experiments under various loading conditions are conducted to characterize the motor's performance that is the relationship between the speed and torque. Proportional-integral control is adopted for the uniform speed control. The proportional control unit calculates the compensating phase-difference using the rotating speed which is measured by an encoder and fed back. Integral control is used to eliminate steady-state errors. Differential control for reducing overshoot is not used since the response of ultrasonic motor is prompt due to its low inertia and friction-driving characteristics. The developed controller demonstrates reasonable performance overcoming disturbing torque and the changes in material properties due to continuous usage.

상태공간 Newmark 기법을 이용한 로터-베어링 시스템의 충격응답 해석 (Shock Response Analysis of Rotor-Bearing System using the State-Space Newmark Method)

  • 이안성;김병옥;김영철;김영춘
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2004년도 추계학술대회논문집
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    • pp.242-247
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    • 2004
  • In this study was proposed a transient response analysis technique of a rotor system, applying the generalized FE modeling method of a rotor-bearing system considering a base-transferred shock force and together the state-space Newmark method of direct time integration scheme based on the average velocity concept. Experiments were performed to a test rig of a mock-up rotor-bearing system with series of half-sine shock waves imposed by an electromagnetic shaker, and quantitative error analyses between analytical and experimental results were carried out. The transient reponses of the rotor were sensitive to duration times and shape-qualities of the shock waves, and overally the analytical results agreed quite well with the experimental ones. Particularly, in cases that the frequencies, $1/(2{\times}duration\;time)$, of the shock waves were close to the critical speed of the rotor-bearing system, resonances occurred and the transient responses of the rotor were amplified.

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Vibration analysis of steel fiber reinforced self-compacting concrete beam on elastic foundation

  • Ozdemir, Mahmut Tunahan;Kobya, Veysel;Yayli, Mustafa Ozgur;Mardani-Aghabaglou, Ali
    • Computers and Concrete
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    • 제27권2호
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    • pp.85-97
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    • 2021
  • In this study, the effect of steel fiber utilization, boundary conditions, different beam cross-section, and length parameter are investigated on the free vibration behavior of fiber reinforced self-compacting concrete beam on elastic foundation. In the analysis of the beam model recommended by Euler-Bernoulli, a method utilizing Stokes transformations and Fourier Sine series were used. For this purpose, in addition to the control beam containing no fiber, three SCC beam elements were prepared by utilization of steel fiber as 0.6% by volume. The time-dependent fresh properties and some mechanical properties of self-compacting concrete mixtures were investigated. In the modelled beam, four different beam specimens produced with 0.6% by volume of steel fiber reinforced and pure (containing no fiber) SCC were analyzed depending on different boundary conditions, different beam cross-sections, and lengths. For this aim, the effect of elasticity of the foundation, cross-sectional dimensions, beam length, boundary conditions, and steel fiber on natural frequency and frequency parameters were investigated. As a result, it was observed that there is a noticeable effect of fiber reinforcement on the dynamic behavior of the modelled beam.

On the thermo-mechanical vibration of an embedded short-fiber-reinforced nanobeam

  • Murat Akpinar;Busra Uzun;Mustafa Ozgur Yayli
    • Advances in nano research
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    • 제17권3호
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    • pp.197-211
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    • 2024
  • This work investigates the thermo-mechanical vibration frequencies of an embedded composite nano-beam restrained with elastic springs at both ends. Composite nanobeam consists of a matrix and short fibers as reinforcement elements placed inside the matrix. An approach based on Fourier sine series and Stokes' transform is adopted to present a general solution that can examine the elastic boundary conditions of the short-fiber-reinforced nanobeam considered with the Halpin-Tsai model. In addition to the elastic medium effect considered by the Winkler model, the size effect is also considered on the basis of nonlocal strain gradient theory. After creating an eigenvalue problem that includes all the mentioned parameters, this problem is solved to examine the effects of fiber and matrix properties, size parameters, Winkler stiffness and temperature change. The numerical results obtained at the end of the study show that increasing the rigidity of the Winkler foundation, the ratio of fiber length to diameter and the ratio of fiber Young's modulus to matrix Young's modulus increase the frequencies. However, thermal loads acting in the positive direction and an increase in the ratio of fiber mass density to matrix mass density lead to a decrease in frequencies. In this study, it is clear from the eigenvalue solution calculating the frequencies of thermally loaded embbeded short-fiber-reinforced nanobeams that changing the stiffness of the deformable springs provides frequency control while keeping the other properties of the nanobeam constant.

이변량 웨이블릿 분석을 위한 모 웨이블릿 선정 (Selection of mother wavelet for bivariate wavelet analysis)

  • 이진욱;이현욱;유철상
    • 한국수자원학회논문집
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    • 제52권11호
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    • pp.905-916
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    • 2019
  • 본 연구에서는 이변량 웨이블릿 분석에 있어 모 웨이블릿이 어떤 영향을 미치는지를 파악하였다. 모 웨이블릿으로는 관련 연구에서 많이 사용되고 있는 총 네 가지(Bump, Mexican hat, Morlet, Paul)를 선정하였다. 이들 모 웨이블릿은 먼저 백색잡음과 다양한 주기의 사인곡선을 결합하여 만든 시계열의 이변량 분석에 적용하여 그 결과를 평가하였다. 또한 실제 시계열인 북극진동지수(AOI)와 남방진동지수(SOI)를 이변량 분석하여 모의된 시계열의 분석 결과가 실제 자료의 분석결과에도 일관되게 유지되는지를 판단하였다. 본 연구의 결과를 요약하면 다음과 같다. 먼저, Bump와 Morlet 모 웨이블릿의 경우가 이론적인 예측에 보다 잘 부합하는 것으로 나타났으며, 반대로 Mexican hat 모 웨이블릿은 상대적으로 단주기의 변동 특성을, Paul 모 웨이블릿의 경우에는 장주기의 변동 특성을 잘 보여주는 것으로 나타났다. 둘째, Mexican hat과 Paul 모 웨이블릿의 경우에는 스케일 간섭이 매우 크게 나타남을 확인할 수 있었다. Bump와 Morlet 모 웨이블릿에서는 이러한 문제점이 나타나지 않았다. 소위 동조화(co-movement)를 탐색하는 능력은 Morlet와 Paul 모 웨이블릿이 가지고 있는 것으로 파악되었다. 특히, Morlet의 경우 이 특성이 더욱 명확히 나타남을 확인하였다. 결과적으로 Morlet 모 웨이블릿이 이변량 웨이블릿 분석에 가장 무난한 것으로 확인되었다. 마지막으로, AOI와 SOI 자료의 이변량 웨이블릿 분석에서는 대략 2-4년 정도의 주기성분이 약 20년 빈도로 서로 동조하고 있음을 확인할 수 있었다.

시계열 자료의 단변량 웨이블릿 분석을 위한 모 웨이블릿의 선정 (Selecting a mother wavelet for univariate wavelet analysis of time series data)

  • 이현욱;이진욱;유철상
    • 한국수자원학회논문집
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    • 제52권8호
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    • pp.575-587
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    • 2019
  • 본 연구에서는 모 웨이블릿(mother wavelet)이 웨이블릿 분석에 미치는 영향을 파악하기 위해 먼저 백색잡음과 사인함수를 다양하게 결합한 시계열의 분석을 수행하고 그 결과를 각각 단기기억특성과 장기기억특성을 보이는 북극진동지수(AOI)와 남방진동지수(SOI)에 대한 적용하였다. 본 연구에서는 기존 연구가 하나 또는 두 개의 모 웨이블릿 평가에 제한된 것과는 달리 총 4가지의 웨이블릿에 대한 비교 평가를 수행하였다. 본 연구에서 선정한 웨이블릿은 기존 연구에 많이 사용된 바 있는 총 4가지의 모 웨이블릿(Bump, Morlet, Paul, Mexican Hat)이다. 그 결과는 다음과 같다. 먼저, Bump 모 웨이블릿을 적용한 결과는 주기성분의 비정상성을 나타내는데 한계가 있는 것으로 확인되었다. 그 결과는 스펙트럼 분석결과와 매우 유사한 수준인 것으로 나타났다. 이에 반해 Morlet과 Paul 모 웨이블릿은 주기성분의 비정상성을 상대적으로 잘 나타내 주는 것으로 확인되었다. 마지막으로 Mexican Hat 모 웨이블릿의 경우에는 그 결과의 해석이 까다로운 것으로 나타났다. 추가로, Paul 모 웨이블릿의 적용 결과가 시계열에 따라 일관적이지 않게 나타날 수 있음도 확인하였다. 결과적으로 Morlet 모 웨이블릿은 본 연구에서 고려한 모 웨이블릿 중 그 적용상 안정성이 가장 높은 것으로 확인되었으며, 이러한 결과는 최근 웨이블릿 관련 연구에서 Morlet 모 웨이블릿이 가장 많이 사용되는 추세와도 일치하는 것이다.

Simulation of the Blood Pressure Estimation Using the Artery Compliance Model and Pulsation Waveform Model

  • Jeon, Ahyoung;Ro, Junghoon;Kim, Jaehyung;Baik, Seongwan;Jeon, Gyerok
    • 센서학회지
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    • 제22권1호
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    • pp.38-43
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    • 2013
  • In this study, the artery's compliance model and the pulsation waveform model was proposed to estimate blood pressure without applying HPF (High Pass Filter) on signal measured by the oscillometric method. The method proposed in the study considered two ways of estimating blood pressure. The first method of estimating blood pressure is by comparing and analyzing changes in pulsation waveform's dicrotic notch region during each cardiac period. The second method is by comparing and analyzing morphological changes in the pulsation waveform during each cardiac period, which occur in response to the change in pressure applied on the cuff. To implement these methods, we proposed the compliance model and the pulsation waveform model of the artery based on hemodynamic theory, and then conducted various simulations. The artery model presented in this study only took artery's compliance into account. Then, a pulsation waveform model was suggested, which uses characteristic changes in the pulsation waveform to estimate blood pressure. In addition, characteristic changes were observed in arterial volume by applying artery's pulsation waveform to the compliance model. The pulsation waveform model was suggested to estimate blood pressure using characteristic changes of the pulsation waveform in the arteries. This model was composed of the sum of sine waves and a Fourier's series in combination form up to 10th harmonics components of the sinusoidal waveform. Then characteristic of arterial volume change was observed by inputting pulsation waveform into the compliance model. The characteristic changes were also observed in the pulsation waveform by mapping the arterial volume change in accordance with applied cuff's pressure change to the pulsation waveform's change according to applied pressure changes by cuff. The systolic and diastolic blood pressures were estimated by applying positional change of pulsation waveform's dicrotic notch region.

Seismic and vibration tests for assessing the effectiveness of GFRP for retrofitting masonry structures

  • Michelis, Paul;Papadimitriou, Costas;Karaiskos, Grigoris K.;Papadioti, Dimitra-Christina;Fuggini, Clemente
    • Smart Structures and Systems
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    • 제9권3호
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    • pp.207-230
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    • 2012
  • Full-scale shake table seismic experiments and low-amplitude vibration tests on a masonry building are carried out to assess its seismic performance as well as study the effectiveness of a new multifunctional textile material for retrofitting masonry structures against earthquakes. The un-reinforced and the retrofitted with glass fiber reinforced polymer (GFRP) strips masonry building was subjected to a series of earthquake excitations of increasing magnitude in order to progressively induce various small, moderate and severe levels of damage to the masonry walls. The performance of the original and retrofitted building states is evaluated. Changes in the dynamic characteristics (lowest four modal frequencies and damping ratios) of the building are used to assess and quantify the damage states of the masonry walls. For this, the dynamic modal characteristics of the structure states after each earthquake event were estimated by performing low-amplitude impulse hammer and sine-sweep forced vibration tests. Comparisons between the modal results calculated using traditional accelerometers and those using Fiber Bragg Grating (FBG) sensors embedded in the reinforcing textile were carried on to investigate the reliability and accuracy of FBG sensors in tracking the dynamic behaviour of the building. The retrofitting actions restored the stiffness characteristics of the reinforced masonry structure to the levels of the original undamaged un-reinforced structure. The results show that despite a similar dynamic behavior identified, corresponding to reduction of the modal frequencies, the un-reinforced masonry building was severely damaged, while the reinforced masonry building was able to withstand, without visual damage, the induced strong seismic excitations. The applied GFRP reinforcement architecture for one storey buildings was experimentally proven reliable for the most severe earthquake accelerations. It was easily placed in a short time and it is a cost effective solution (covering only 20% of the external wall surfaces) when compared to the cost for full wall coverage by GFRPs.