• 제목/요약/키워드: Rayleigh energy method

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광대역 정규 프로세스에 대한 주파수 영역 기반 피로해석법의 적용성에 관한 연구 I : 레일리 PDF (Study on Applicability of Frequency Domain-Based Fatigue Analysis for Wide Band Gaussian Process I : Rayleigh PDF)

  • 정준모;김경수;남지명;구정본;김민수;심용래;엄항섭
    • 대한조선학회논문집
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    • 제49권4호
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    • pp.350-358
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    • 2012
  • This paper deals with accuracy of accumulated fatigue damage estimation using stochastic fatigue analysis method based on Rayleigh PDF. From full scale measurement data on an 8100TEU container vessel, zero-order spectral moments for wave- and vibration-induced energy spectral densities are determined on the probability level of 99%. 80 simulation cases in total are prepared according to the variation of ratio of zero-order spectral moments and center frequency of vibration ESD. By using inverse Fourier transformation and rainflow cycle counting for the combined ESD of wave and vibration, exact fatigue damages are derived. Fatigue damages in frequency domain based on Rayleigh PDF show large conservativeness compared to exact fatigue damages in times domain. The main cause of the excessive conservativeness is analyzed by two aspects: ratio of zero crossing and peak frequencies and ratio of initial zero order spectral moments and zero order spectral moments from rainflow stress range distributions. Finally, a guideline of applicability of Rayleigh PDF is proposed for wide band processes.

수평 다공층에서 수직 관통류가 자연대류 열전달에 미치는 영향에 관한 연구 (The Throughflow Effects on Natural Convection in Horizontal Porous Layer)

  • 서석진
    • 에너지공학
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    • 제7권2호
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    • pp.209-215
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    • 1998
  • 본 연구에서는 수평 가공층의 하부에서 가열하고 상부에서 냉각하는 자연대류현상을 Brinkman-Darcy 방정식을 이용하고 하부 경계면에서 상부 경계면으로 균일한 관통류가 있을 경우를 고려하여 수직 관통류가 자연대류에 미치는 영향에 대하여 연구하였다. 관통류가 없을 경우의 임계 Rayleigh수와 있을 경우의 임계 Rayleigh수를 비교하였다. 또, 일정한 Rayleigh수에서의 관통류의 세기에 따른 Nusselt수, 등온선의 형태, 유동현상의 변화를 고찰하였다. 이와 같은 연구를 하기 위해 수치 해석적 연구로는 2차원 비정상 유동으로 가정하고 유한차분법(FDM)을 이용하였으며, 실험적 연구에서는 수치해석상의 결과를 검증하기 위해 액정(Liquid Crystal)을 시험체적 앞면에 부착하여 관통류의 세기에 따른 온도장의 재 분포를 가시화 하였다. 결론적으로 관통류는 순수 자연대류상에서의 온도장의 형태를 크게 변화시키고, 관통류의 세기가 강해짐으로써 대류 열전달의 불안정성이 감소함을 알 수 있었다. 또, Nusselt수를 구함으로써 대류열전달의 강도를 추정할 수 있었다.

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독립좌표연성법을 이용한 정사각형 구멍을 갖는 단순지지 원판의 자유진동해석 (Free Vibration Analysis of a Simply-Supported Circular Plate with a Concentric Square Hole by the Independent Coordinate Coupling Method)

  • 허석;곽문규
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2008년도 추계학술대회A
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    • pp.967-972
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    • 2008
  • This paper presents the free vibration analysis of a circular plate with a concentric square hole. The present problem deals with the numerical calculation of the natural frequencies and mode shapes of vibration of the structure by means of Independent Coordinate Coupling Method (ICCM). In this study, the boundary condition is the edge of the square hole is free and the outer circular plate is simply supported. Due to the geometric abnormality, this analysis does not permit an exact solution. Since the ICCM employs coordinate systems corresponding to each domain independently, the kinetic and potential energy expressions necessary for the Rayleigh-Ritz method can be easily obtained. Lastly, the kinematic relation is imposed. In this way, the eigenvalue problem can be easily set up. The numerical results show the efficacy of the ICCM and changes in natural frequencies and modes due to the square hole size.

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Buckling analysis of nanocomposite cut out plate using domain decomposition method and orthogonal polynomials

  • Jamali, M.;Shojaee, T.;Kolahchi, R.;Mohammadi, B.
    • Steel and Composite Structures
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    • 제22권3호
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    • pp.691-712
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    • 2016
  • In this editorial, buckling analytical investigation of the nanocomposite plate with square cut out reinforced by carbon nanotubes (CNTs) surrounded by Pasternak foundation is considered. The plate is presumed has square cut out in center and resting on Pasternak foundation. CNTs are used as amplifier in plate for diverse distribution, such as uniform distribution (UD) and three patterns of functionally graded (FG) distribution types of CNTs (FG-X, FG-A and FG-O). Moreover, the effective mechanical properties of nanocomposite plate are calculated from the rule of mixture. Domain decomposition method and orthogonal polynomials are applied in order to define the shape function of nanocomposite plate with square cut out. Finally, Rayleigh-Ritz energy method is used to obtain critical buckling load of system. A detailed parametric study is conducted to explicit the effects of the dimensions of plate, length of square cut out, different distribution of CNTs, elastic medium and volume fraction of CNTs. It is found from results that increase the dimensions of plate and length of square cut out have negative impact on buckling behavior of system but considering CNTs in plate has positive influence.

Cross Layer Optimal Design with Guaranteed Reliability under Rayleigh block fading channels

  • Chen, Xue;Hu, Yanling;Liu, Anfeng;Chen, Zhigang
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • 제7권12호
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    • pp.3071-3095
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    • 2013
  • Configuring optimization of wireless sensor networks, which can improve the network performance such as utilization efficiency and network lifetime with minimal energy, has received considerable attention in recent years. In this paper, a cross layer optimal approach is proposed for multi-source linear network and grid network under Rayleigh block-fading channels, which not only achieves an optimal utility but also guarantees the end-to-end reliability. Specifically, in this paper, we first strictly present the optimization method for optimal nodal number $N^*$, nodal placement $d^*$ and nodal transmission structure $p^*$ under constraints of minimum total energy consumption and minimum unit data transmitting energy consumption. Then, based on the facts that nodal energy consumption is higher for those nodes near the sink and those nodes far from the sink may have remaining energy, a cross layer optimal design is proposed to achieve balanced network energy consumption. The design adopts lower reliability requirement and shorter transmission distance for nodes near the sink, and adopts higher reliability requirement and farther transmission distance for nodes far from the sink, the solvability conditions is given as well. In the end, both the theoretical analysis and experimental results for performance evaluation show that the optimal design indeed can improve the network lifetime by 20-50%, network utility by 20% and guarantee desire level of reliability.

홍도와 마라도 해역에서의 파후에 대하여 (Wave Climate at Hong-do and Mara-do Sea Areas)

  • 김도영
    • 한국해양환경ㆍ에너지학회지
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    • 제1권2호
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    • pp.71-81
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    • 1998
  • 이 논문에서는 홍도와 마라도에서의 파랑의 통계적 특성을 살펴보았다. 두 지역에서의 스펙트럼법과 시계열에서 얻은 유의파고를 이용하여 파고주기결합분포를 얻었으며 여러 가지 통계적인 특성을 살펴보았다. 주파수의 대역폭이 협대역이 아닌 경우에 개별 파고분포에 롱기히긴스가 제안한 수정레일리분포를 사용할 수 있다. 그러나 이 분포함수는 경험상수를 결정해야하는 불편함 때문에 널리 사용되지 않고 있었다. 본 논문에서는 수정레일리분포의 경험상수를 결정하는 간단한 방법을 제안하였다. 설계파고의 추정에서 서로 다른 분포함수 선택에 따른 영향은 크지 않다. 그러나 스펙트럼법과 시계열에서 얻은 파랑자료 사용에 따라서 한계파고의 추정치는 큰 차이를 보인다.

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Natural vibration characteristics of a clamped circular plate in contact with fluid

  • Jhung, Myung Jo;Choi, Young Hwan;Kim, Hho Jung;Jeong, Kyeong Hoon
    • Structural Engineering and Mechanics
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    • 제21권2호
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    • pp.169-184
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    • 2005
  • This study deals with the free vibration of a circular plate in contact with a fluid; submerged in fluid, beneath fluid or on fluid. An analytical method based on the finite Fourier-Bessel series expansion and Rayleigh-Ritz method is suggested. The proposed method is verified by the finite element analysis using commercial program with a good accuracy. The normalized natural frequencies are obtained in order to estimate the relative added mass effect of fluid on each vibration mode of the plate. Also, the location of plate coupled with fluid and the cases of free and bounded fluid surface are studied for the effect on the vibration characteristics.

Fluid Bounding Effect on Natural Frequencies of Fluid-Coupled Circular Plates

  • Jhung, Myung-Jo;Park, Young-Hwan;Jeong, Kyeong-Hoon
    • Journal of Mechanical Science and Technology
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    • 제17권9호
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    • pp.1297-1315
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    • 2003
  • This study deals with the free vibration of two identical circular plates coupled with a bounded or unbounded fluid. An analytical method based on the finite Fourier-Bessel series expansion and Rayleigh-Ritz method is suggested. The proposed method is verified by the finite element analysis using commercial program with a good accuracy The case of bounded or unbounded fluid is studied for the effect on the vibration characteristics of two circular plates. Also, the effect of gap between the plates on the fluid-coupled natural frequencies is investigated.

Mode localization and veering of natural frequency loci in two circular plates coupled with a fluid

  • Jeong, Kyeong-Hoon
    • Structural Engineering and Mechanics
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    • 제22권6호
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    • pp.719-739
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    • 2006
  • An analytical method for the free vibration of two circular plates coupled with an inviscid and compressible fluid is developed by the Rayleigh-Ritz method. The fluid is bounded by a rigid cylindrical vessel and two circular plates with an unequal thickness and diameter. It was found that the theoretical results could predict well the fluid-coupled natural frequencies with an excellent accuracy when compared with the finite element analysis results. As the fluid thickness increases or the plate thickness difference increases, an abrupt curve veering in the natural frequency loci of the neighboring modes and drastic changes in the corresponding mode shapes are observed. The mode localization frequently appears in the higher modes and in the wide gap between the plates because of a decrease in the fluid coupling owing to the fluid dispersion effect.

FREE VIBRATION ANALYSIS OF PERFORATED PLATE WITH SQUARE PENETRATION PATTERN USING EQUIVALENT MATERIAL PROPERTIES

  • JHUNG, MYUNG JO;JEONG, KYEONG HOON
    • Nuclear Engineering and Technology
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    • 제47권4호
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    • pp.500-511
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    • 2015
  • In this study, the natural frequencies of the perforated square plate with a square penetration pattern are obtained as a function of ligament efficiency using the commercial finite-element analysis code ANSYS. In addition, they are used to extract the effective modulus of elasticity under an assumption of a constant Poisson's ratio. The effective modulus of elasticity of the fully perforated square plate is applied to the modal analysis of a partially perforated square plate using a homogeneous finite-element analysis model. The natural frequencies and the corresponding mode shapes of the homogeneous model are compared with the results of the detailed finite-element analysis model of the partially perforated square plate to check the validity of the effective modulus of elasticity. In addition, the theoretical method to calculate the natural frequencies of a partially perforated square plate with fixed edges is suggested according to the Rayleigh-Ritz method.