• 제목/요약/키워드: Sinusoidal Function

검색결과 235건 처리시간 0.022초

벽온도분포가 정현파인 원관에서 왕복유동에 의한 열전달 해석 (Heat Transfer by an Oscillating Flow in a Circular Pipe with Sinusoidal Wall Temperature Distributions)

  • 이대영;박상진;노승탁
    • 대한기계학회논문집
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    • 제17권12호
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    • pp.3208-3216
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    • 1993
  • Heat transfer characteristics of the laminar oscillating flow in a circular pipe have been studied under the condition that the wall temperature of the pipe is distributed sinusoidally with the axial direction. The axial velocity was assumed to be uniform in radial direction and the temperature field was analyzed by means of the perturbation method. The results show that the difference between wall and section-time-averaged fluid temperature increases as the oscillating frequency increases and eventually converges to a constant value which is determined by the ratio of swept distance to the characteristic length of wall temperature distribution. Also it is shown that the dominant variable in the heat transfer process when swept distance ratio is greater than 1 is not thermal Womersley number(F) but thermal Womersley number multiplied by the square root of swept distance ratio. The variation of the time-averaged Nusselt number is obtained as a function of F. The results indicate that Nusselt number is proportional to $F_{\epsilon}^{1/2}$ when both of F and .epsilon. are much greater than 1.

대기 중에서 가스상 유기염소계 농약의 농도변화 패턴 (Variation Pattern of Gaseous Organochlorine Pesticides Concentration in Atmosphere)

  • 최민규;천만영
    • Environmental Analysis Health and Toxicology
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    • 제22권2호통권57호
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    • pp.111-118
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    • 2007
  • This study was performed to measure gaseous Organochlorine Pesticides (OCPs : heptachlor epoxide, ${\alpha}/{\gamma}-chlordane$, trans-nonachlor, endosulfan, ${\gamma}-HCH$ and p, p'-DDE) concentration using PUF high volume sampler from June, 2000 to June, 2002 in the semi-rural atmosphere. Using monitoring data for two years, we tried to investigate the annual cycles of gaseous OCPs. We considered three functions to describe the annual cycle: Gaussian, Lorentzian and sinusoidal functions. These functions accounted for $54{\sim}91%$ of the variability in concentration for each gaseous OCPs, and the sinusoidal function gave the best fits. It was seen that the gaseous OCPs concentration increased during the warmer weather while decreased during colder weather. The variation of the gaseous OCPs concentration was closely similar to the variations of ambient temperature. The annual cycle of endosulfan was strongly higher than in comparison with other gaseous OCPs, while for ${\gamma}-HCH$, the cycle was weakly high and did not show apparent seasonal variation. The position of the annual maximum exists generally late July to early August. The period that showed levels more than a half maximum was from late June to early September.

복수 정현파 입력신호에 대한 최소평균사승 알고리듬의 수렴 특성에 관한 연구 (Convergence Behavior of the Least Mean Fourth Algorithm for a Multiple Sinusoidal Input)

  • 이강승;이재천;윤대희
    • 한국음향학회지
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    • 제14권1호
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    • pp.22-30
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    • 1995
  • 본 논문은 입력 신호가 복수 정현파(multiple sinusoids) 신호로 구성되고 측정 잡음이 가우시안일 때 최소평균사승(least mean fourth : LMF) 알고리듬의 수렴 특성을 새로운 해석 기법을 적용하여 이론적으로 분석하였다. LMF알고리듬은 오차 신호의 4승을 비용 함수(cost function)로 하여 gradient-descent 방법으로 구한 적응 알고리듬인데 기존 Walach 와 Widrow의 수렴 특성 분석에서는 이루어지지 않았던 계수 추정 오차에 대한 2차 모멘트의 과도기 상태 수렴 특성을 본 논문에서 새로이 제시하였다. 결론적으로 가우시안 측정 잡음의 분산과 수렴 상수의 크기에 따라 서로 다른 수렴 특성을 나타냄을 알 수 있었다. 이러한 결과는 기존 Walach 와 Widrow의 분석 기법으로서는 알 수가 없었다.

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연속 응답 스펙트럼 분석에 의한 아치 구조물의 동적 좌굴 특성 (Dynamic Buckling Characteristics of Arch Structures by Running Response Spectrum)

  • 김승덕;윤태영
    • 한국공간구조학회논문집
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    • 제4권2호
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    • pp.81-88
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    • 2004
  • 동적 불안정 좌굴현상에 관한 연구는 다소 발표되고 있으나, 주기성을 가진 하중하에서의 동적 좌굴을 다룬 연구는 그리 많지 않은 편이다. 주기성을 가진 하중하에서의 거동은 STEP 하중하에서의 거동과는 매우 다르리라 예상된다. 본 논문에서는 동적 불안정의 기본 메커니즘을 파악하기 위하여 양단 핀으로 고정된 정현형 아치가 정현형 조화하중을 받았을 때의 얕은 아치를 대상으로 한다. 얕은 아치의 동적 간접 좌굴 메커니즘을 파악하기 위하여 STEP 하중뿐만 아니라 정현형 조화하중일 때를 대상으로 한다. 동적 비선형 응답 특성을 알기 위하여 수치적분에 의해 기하학적 비선형 운동방정식을 유도한다. 여기서 얻어진 비선형 변위 응답으로 FFT(Fast Fourier Transform)에 의한 연속 응답 스펙트럼을 구해 동적 불안정 특성에 관해서 분석한다.

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Thermal post-buckling behavior of imperfect temperature-dependent sandwich FGM plates resting on Pasternak elastic foundation

  • Barka, Merbouha;Benrahou, Kouider Halim;Bakora, Ahmed;Tounsi, Abdelouahed
    • Steel and Composite Structures
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    • 제22권1호
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    • pp.91-112
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    • 2016
  • In this paper, post-buckling behavior of sandwich plates with functionally graded (FG) face sheets under uniform temperature rise loading is examined based on both sinusoidal shear deformation theory and stress function. It is supposed that the sandwich plate is in contact with an elastic foundation during deformation, which acts in both compression and tension. Thermo-elastic non-homogeneous properties of FG layers change smoothly by the variation of power law within the thickness, and temperature dependency of material constituents is considered in the formulation. In the present development, Von Karman nonlinearity and initial geometrical imperfection of sandwich plate are also taken into account. By employing Galerkin method, analytical solutions of thermal buckling and post-buckling equilibrium paths for simply supported plates are determined. Numerical examples presented in the present study discuss the effects of gradient index, sandwich plate geometry, geometrical imperfection, temperature dependency, and the elastic foundation parameters.

Reliability analysis-based conjugate map of beams reinforced by ZnO nanoparticles using sinusoidal shear deformation theory

  • Keshtegar, Behrooz;Kolahchi, Reza
    • Steel and Composite Structures
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    • 제28권2호
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    • pp.195-207
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    • 2018
  • First-order reliability method (FORM) is enhanced based on the search direction using relaxed conjugate reliability (RCR) approach for the embedded nanocomposite beam under buckling failure mode. The RCR method is formulated using discrete conjugate map with a limited scalar factor. A dynamical relaxed factor is proposed to control instability of proposed RCR, which is adjusted using sufficient descent condition. The characteristic of equivalent materials for nanocomposite beam are obtained by micro-electro-mechanical model. The probabilistic model of nanocomposite beam is simulated using the sinusoidal shear deformation theory (SSDT). The beam is subjected to external applied voltage in thickness direction and the surrounding elastic medium is modeled by Pasternak foundation. The governing equations are derived in terms of energy method and Hamilton's principal. Using exact solution, the implicit buckling limit state function of nanocomposite beam is proposed, which is involved various random variables including thickness of beam, length of beam, spring constant of foundation, shear constant of foundation, applied voltage, and volume fraction of ZnO nanoparticles in polymer. The robustness, accuracy and efficiency of proposed RCR method are evaluated for this engineering structural reliability problem. The results demonstrate that proposed RCR method is more accurate and robust than the excising reliability methods-based FORM. The volume fraction of ZnO nanoparticles and the applied voltage are the sensitive variables on the reliable levels of the nanocomposite beams.

수신 신호의 위상 추정값에 대한 분산과 성능분석에 의한 페이딩 채널 해석 (Analysis of System on the Combining Reception and the Variance of the Phase Estimate of a Sinusoidal Signal over Wireless Fading Channels)

  • 함영만;이강원
    • 한국정보통신학회논문지
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    • 제14권2호
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    • pp.277-286
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    • 2010
  • 이동통신 시스템에서 발생하는 큰 문제점 중의 하나는 다중 경로에 의한 신호 진폭의 감쇄 현상인 페이딩을 들수 있다. 이 때 동기시스템에서 maximum a posteriori 신호 위상 추정값의 분산에 대한 Cramer-Rao bound를 고찰하여 수신신호의 위상을 추정한다. 나카가미 페이딩 채널에서의 위상의 분산값에 대한 Cramer-Rao 하한치를 발견하기 위해서 위상에 대한 확률 밀도 함수를 이용한다. 또한 순서통계량을 이용하여 일반화된 선택 합성기법에 대한 오류 확률식을 유도하여 적절한 다이버시티 가짓수를 분석하였다.

마주보는 양단이 자유 경계조건을 갖는 Lévy 판의 조화 응답 해석 (Harmonic Response Estimation Method on the Lévy Plate with Two Opposite Edges Having Free Boundary Conditions)

  • 박남규;서정민;전경락
    • 한국소음진동공학회논문집
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    • 제23권11호
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    • pp.943-950
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    • 2013
  • This paper discusses a harmonic response estimation method on the L$\acute{e}$vy plate with two opposite edges simply supported and the other two edges having free boundary conditions. Since the equation of motion of the plate is not self-adjoint, the modes are not orthogonal to each other on the domain. Noting that the L$\acute{e}$vy plate can be expressed using one term sinusoidal function that is orthogonal to other sinusoidal functions, this paper suggested the calculation method that is equivalent to finding a least square error minimization solution of the finite number of algebraic equations. Example problems subjected to a distributed area loading and a distributed line loading are defined and their solutions are provided. The solutions are compared to those of the commercial code, ANSYS. According to the verification results, it is expected that the suggested method will be useful to predict the forced response on the L$\acute{e}$vy plate with the distributed area or line loading conditions.

Deflection and bending characteristics of embedded functionally graded porous plate with bi-directional thickness variation subjected to bi-sinusoidal loading

  • Rajat Jain;Mohammad Sikandar Azam
    • Steel and Composite Structures
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    • 제51권6호
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    • pp.601-617
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    • 2024
  • This work aims to explore the static behaviour of a tapered functionally graded porous plate (FGPP) with even and uneven porosity distributions resting on two parametric elastic foundations. The plate under investigation is subjected to bi-sinusoidal loading and the edges of the plate are exposed to different combinations of edge restrictions. In order to examin the static behaviour, bending factors (BF) related to bending and normal stresses have been evaluated using classical plate theory. To achieve this, the governing equations have been derived employing the energy concept. And to solve it, the Rayleigh-Ritz method with an algebraic function has been utilised; it is simple, precise, and computationally intensive. After convergence and validation analyses, new findings are made available. The BF of the plate have been exhaustively examined to explain the influence of aspect ratios, material property index, porosity factor, taper factor, and Winkler and Pasternak stiffness. It is observed that the BF of an elastically supported FGPP are influenced by the index of material propery and the aspect ratio. Findings also indicate that the impact of porosity is more when it is spread evenly, as opposed to when it is unevenly distributed. Further, the deformed plate's structure is significantly influenced by the different thickness variations. Examination of bending characteristics of FGPP having different new cases of thickness variations with different types of porosity distribution under fifteen different mixed edge constraints is the prime novality of this work. Results presented are reliable enough to be taken into account for future studies.

간의 면역학적 역할에 대한 고찰 (The Research of Immunological Function in Liver)

  • 손창규
    • 대한한의학회지
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    • 제22권1호
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    • pp.3-9
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    • 2001
  • In the view of oriental medicine, the liver is the general of the army in its function of protecting against the enemy. So this concept is very closely associated to the immunological function. Its relations with immunological function are as follows. 1. The liver produces most of the proteins and converts them with hepatocytes, composes 80% in total reticuloendothelial system with Kuffer cells & endothelial cells and has typical structure of sinusoidal vessels closely related with the blood system. 2. The liver plays an important role in innate immunity with Kuffer cells as well as with the molecules that the liver produces, related to complementary systems. 3. In the embryonic period, the liver is associated with immune associated cell growth and their maturation. After birth, it is associated with removing old red blood cells and with systematically modulating immune system through hormone metabolism. 4. The liver controls the autoimmune disease resulting from immune complex by removing molecules like immune complex. 5. In the processing of blood 19A from the digestive system, the liver has an important role in protecting the body from unnecessary immune responses. 6. In the oriental medical view, liver plays a major role in the immune function by storing blood and dispersing stagnated hepatoqi with the help of the kidneys and spleen.

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