• 제목/요약/키워드: Rayleigh's method

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춘천지역의 천부 횡파속도를 구하기 위한 레일리파 분산곡선 역산 (Inversion of Rayleigh-wave Dispersion Curves for Near-surface Shear-wave Velocities in Chuncheon Area)

  • 김기영;김우중;박영환
    • 지구물리와물리탐사
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    • 제15권1호
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    • pp.1-7
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    • 2012
  • 천부 횡파속도(${\nu}_s$)를 구하기 위한 효율적 방법을 모색하기 위하여, 수동적 및 능동적 방법으로 발생된 레일리파의 분산곡선 특성을 분석하였다. 춘천지역에서 반경 5 ~ 40 m인 4개 삼각형 배열을 이용하여 5분간 감지한 상시미동을 확장된 공간자기상관법으로 분석하였다. 동일한 지역에서 해머로 발생시키고 4.5 Hz 지오폰 24개로 2초간 기록한 인공적 레일리파는 다중채널 표면파 분석법으로 처리하였다. 7 ~ 19 Hz와 11 ~ 50 Hz 구간에서 상대적으로 높은 신호/잡음비를 보이는 상시미동과 인공적 레일리파의 분산곡선을 병합하고 역산한 결과를 시추공 주상도와 비교하였다. 토사층 및 연암층의 ${\nu}_s$는 각각 221 m/s와 846 m/s 정도로 비교적 일정하나, 사력-혼전층 및 풍화암층 구간에서는 깊이에 따라 선형으로 증가하는 양상을 보인다. 횡파속도에 의한 지반분류를 적용할 경우, 풍화암/연암의 경계는 시추주상도에 표시된 깊이보다 5 m 깊은 것으로 분석된다.

Objective Bayesian inference based on upper record values from Rayleigh distribution

  • Seo, Jung In;Kim, Yongku
    • Communications for Statistical Applications and Methods
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    • 제25권4호
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    • pp.411-430
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    • 2018
  • The Bayesian approach is a suitable alternative in constructing appropriate models for observed record values because the number of these values is small. This paper provides an objective Bayesian analysis method for upper record values arising from the Rayleigh distribution. For the objective Bayesian analysis, the Fisher information matrix for unknown parameters is derived in terms of the second derivative of the log-likelihood function by using Leibniz's rule; subsequently, objective priors are provided, resulting in proper posterior distributions. We examine if these priors are the PMPs. In a simulation study, inference results under the provided priors are compared through Monte Carlo simulations. Through real data analysis, we reveal a limitation of the appropriate confidence interval based on the maximum likelihood estimator for the scale parameter and evaluate the models under the provided priors.

Ultrasonic Detection of Cracks in Studs and Bolts Using Dynamic Predictive Deconvolution and Wave Shaping

  • Suh, Dong-Man;Kim, Whan-Woo;Kim, Dae-Yen;Chung, Jin-Gyun
    • The Journal of the Acoustical Society of Korea
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    • 제17권1E호
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    • pp.44-53
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    • 1998
  • Bolt degradation has become a major issue in the nuclear industry since the 1980's due to failure during operation. If small cracks in stud bolt are not detected early enough, they grow rapidly and cause catastrophic disasters. Their detection, despite its importance, is known to be a very difficult problem due to the complicated structures of the stud bolts. This paper presents a method of detecting and sizing a small crack in the root between two adjacent crests in threads. The key idea is from the fact that the Rayleigh wave propagates slowly along a crack from the tip to the opening and is reflected from the opening mouth. When there exists a crack, a small delayed pulse due to the Rayleigh wave is detected between large regularly spaced pulses from the thread. The delay time is the same as the propagation delay time of the slow Rayleigh wave and is proportional to the size of the crack. To efficiently detect the slow Rayleigh wave, three methods based on digital signal processing are proposed : modified wave shaping, dynamic predictive deconvolution, and dynamic predictive deconvolution combined with wave shaping.

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코리올리 효과에 의한 반구형 진동 구조물의 세차계수 (Bryan's Factor of a Hemispherical Resonator due to Coriolis Effect)

  • 이희남;박상진;세르게이 사라플로프;한순우;박진호
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2014년도 추계학술대회 논문집
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    • pp.457-460
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    • 2014
  • 세차계수는 플랫폼의 각속도 혹은 회전각에 대한 공진기에 형성되는 탄성 정상파의 각속도 혹은 회전각의 비율로 정의된다. 본 논문에서는 코리올리 효과에 의한 반구형 공진기의 세차계수에 대한 연구를 레일리-리츠법과 라그랑지안 역학을 이용하여 수행하였으며 쉘의 중립면이 레일리 모드 변형을 한다는 조건을 적용하였고 계산 결과를 이전 연구자들의 결과들과 비교하였다.

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Buckling of cylindrical shells with internal ring supports

  • Wang, C.M.;Tian, J.;Swaddiwudhipong, S.
    • Structural Engineering and Mechanics
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    • 제2권4호
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    • pp.369-381
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    • 1994
  • This paper is concerned with the elastic buckling of cylindrical shells with internal rigid ring supports. The internal supports impose a zero lateral deflection constraint on the buckling modes at their locations. An automated Rayleigh-Ritz method is presented for solving this buckling problem. The method can handle any combination of end conditions and any number of internal supports. Moreover, it is simple to code and can yield very accurate solutions. New buckling results for cylindrical shells with a single internal ring support, and under lateral pressure and hydrostatic pressure, are given in the form of design charts. These results should be valuable to engineering designers.

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.

추가변형을 고려한 환원판 결합 원통셸의 자유진동해석 (Free Vibration Analysis of Combined Cylindrical Shells with an Annular Plate Considering Additional Deformations)

  • 정강;김영완
    • 대한기계학회논문집A
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    • 제29권3호
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    • pp.439-446
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    • 2005
  • The theoretical method is developed to investigate the vibration characteristics of the combined cylindrical shells with an annular plate joined to the shell at any arbitrary axial position. The structural rotational coupling between shell and plate is simulated using the rotational artificial spring. For the translational coupling, the continuity conditions for the displacements of shell and plate are used. For the uncoupled annular plate, the transverse motion is considered and the in-plane motions are not. And the additional transverse and in-plane motions of the coupled annular plate by shell deformation are considered in analysis. Theoretical formulations are based on Love's thin shell theory. The frequency equation of the combined shell with an annular plate is derived using the Rayleigh-Ritz approach. The effect of inner-to-outer radius ratio, axial position and thickness of annular plate on vibration characteristics of combined cylindrical shells is studied. To demonstrate the validity of present theoretical method, the finite element analysis is performed.

수평격판으로 분리된 정사각형 밀폐공간내의 층류 자연대류 해석 (An investigation of laminar natural convection in a square partitioned enclosure)

  • 김점수;정인기
    • 설비공학논문집
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    • 제9권3호
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    • pp.312-322
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    • 1997
  • The natural convective flow in a two-dimensional square enclosure with horizontal partitions is investigated numerically. The enclosure was composed of the lower hot and the upper cold horizontal walls and the adiabatic vertical walls, and two identical partitions were positioned perpendicularly at the mid-height of the right and left walls, respectively. The governing equations are solved by using the finite element method with Galerkin method. Calculations are made for different partition lengths, partition conductivites, and Rayleigh numbers based on the temperature difference between two horizontal walls and the enclosure height with water(Pr=4.95). An oscillatory motion of the natural convective flow is affected significantly by the variation of the gap width and Rayleigh number. When the gap width is comparatively short, the heat transfer rate is raised with the increase of the thermal conductivity of partitions. However, for sufficiently large gap widths at higher Rayleigh numbers, the average Nusselt numbers of the conductive partitions are smaller than those of the adiabatic partitions.

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수평격판을 갖는 상부가 부분 개방된 밀폐공간내의 자연대류 (Natural Convection in a Partially Opened Enclosure with a Horizontal Divider)

  • 김점수;정인기;송동주
    • 설비공학논문집
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    • 제7권3호
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    • pp.528-537
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    • 1995
  • Natural convective flow and heat transfer characteristics in a partially opened enclosure fitted with a horizontal divider are investigated numerically. The enclosure is composed of a lower hot and a upper cold horizontal walls and adiabatic vertical walls. A divider is attached perpendicularly to the vertical insulated wall. The governing equations are solved by using the finite element method with Galerkin method. The computations have been carried out by varying the length of divider, the opening size, and the Rayleigh number based on the temperature difference between two horizontal walls and the enclosure height for air(Pr=0.71). As result, when the opening size is fixed, the intensity of the secondary flow is weaken as the length of divider increases. The maximum heat transfer rate over the upper cold wall occurs at a position bounded on the opening. However, when the length of divider is increased considerably, its maximum occurs at the right wall. The stability and frequency of oscillation are affected by the Rayleigh number and length of divider. The Nusselt number is increased with the increase of the opening size and the increase of Rayleigh number.

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A study on surface wave dispersion due to the effect of soft layer in layered media

  • Roy, Narayan;Jakka, Ravi S.;Wason, H.R.
    • Geomechanics and Engineering
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    • 제13권5호
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    • pp.775-791
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    • 2017
  • Surface wave techniques are widely used as non-invasive method for geotechnical site characterization. Field surface wave data are collected and analyzed using different processing techniques to generate the dispersion curves, which are further used to extract the shear wave velocity profile by inverse problem solution. Characteristics of a dispersion curve depend on the subsurface layering information of a vertically heterogeneous medium. Sometimes soft layer can be found between two stiff layers in the vertically heterogeneous media, and it can affect the wave propagation dramatically. Now most of the surface wave techniques use the fundamental mode Rayleigh wave propagation during the inversion, but this may not be the actual scenario when a soft layer is present in a vertically layered medium. This paper presents a detailed and comprehensive study using finite element method to examine the effect of soft layers which sometimes get trapped between two high velocity layers. Determination of the presence of a soft layer is quite important for proper mechanical characterization of a soil deposit. Present analysis shows that the thickness and position of the trapped soft layer highly influence the dispersion of Rayleigh waves while the higher modes also contribute in the resulting wave propagation.