• 제목/요약/키워드: Rayleigh parameter

검색결과 109건 처리시간 0.021초

Avoidance of Internal Resonances in Hemispherical Resonator Assemblies from Fused Quartz Connected by Indium Solder

  • 세르게이 사라플로프;이희남;박상진
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2013년도 춘계학술대회 논문집
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    • pp.835-841
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    • 2013
  • Modern solid-state gyroscopes (HRG) with hemispherical resonators from high-purity quartz glass and special surface superfinishing and ultrathin gold coating become the best instruments for precise-grade inertial reference units (IRU) targeting long-term space missions. Designing of these sensors could be a notable contribution into development of Korea as a space nation. In participial, 40mm diameter thin-shell resonator from high-purity fused quartz, fabricated as a single-piece with its supporting stem has been designed, machined, etched, tuned, tested, and delivered by STM Co. (ATS of Ukraine) several years ago; an extremely-high Q-factor (upto 10~20 millions) has been shown. Understanding of the best way how to match such a unique sensor with inner glass assembly of the gyro means how to use the high potential in a maximal extent; and this has become the urgent task. Inner quartz glass assembly has a very thin indium (In) layer soldered the resonator and its silica base (case), but effects of internal resonances between operational modal pair of the shell-cup and its side (parasitic) modes can notable degrade the potential of the sensor as a whole, instead of so low level of resonator's intrinsic losses. Unfortunately, there are special combinations of dimensions of the parts (so-called, "resonant sizes"), when intensive losses of energy occurs. The authors proposed to use the length of stem's fixture as an additional design parameter to avoid such cases. So-called, a cyclic scheme of finite element method (FEM) and ANSYS software were employed to estimate different combinations of gyro assembly parameters. This variant has no mismatches of numerical origin due to FEM's discrete mesh. The optimum length and dangerous "resonant lengths" have been found. The special attention has been paid to analyses of 3D effects in a cup-stem transient zone, including determination of a difference between the positions of geometrical Pole of the resonant hemisphere and of its "dynamical Pole", i.e., its real zone of oscillation node. Boundary effects between the shell (cup) and 3D short "beams" (inner and outer stems) have been ranged. The results of the numerical experiments have been compared with the classic model of a quasi-hemispherical shell band with inextensional midsurface, and the solution using Rayleigh's functions of the $1^{st}$ and $2^{nd}$ kinds. To guarantee the truth of the recommended sizes to a designer of the real device, the analytical and FEM results have been compared with experimental data for a party of real resonators. The consistency of the results obtained by different means has been shown with errors less than 5%. The results notably differ from the data published earlier by different researchers.

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Buckling analysis of elastically-restrained steel plates under eccentric compression

  • Qin, Ying;Shu, Gan-Ping;Du, Er-Feng;Lu, Rui-Hua
    • Steel and Composite Structures
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    • 제29권3호
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    • pp.379-389
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    • 2018
  • In this research, the explicit closed-form local buckling solution of steel plates in contact with concrete, with both loaded and unloaded edges elastically restrained against rotation and subjected to eccentric compression is presented. The Rayleigh-Rize approach is applied to establish the eigenvalue problem for the local buckling performance. Buckling shape which combines trigonometric and biquadratic functions is introduced according to that used by Qin et al. (2017) on steel plate buckling under uniform compression. Explicit solutions for predicting the local buckling stress of steel plate are obtained in terms of the rotational stiffness. Based on different boundary conditions, simply yet explicit local buckling solutions are discussed in details. The proposed formulas are validated against previous research and finite element results. The influences of the loading stress gradient parameter, the aspect ratio, and the rotational stiffness on the local buckling stress resultants of steel plates with different boundary conditions were evaluated. This work can be considered as an alternative to apply a different buckling shape function to study the buckling problem of steel plate under eccentric compression comparing to the work by Qin et al. (2018), and the results are found to be in consistent with those in Qin et al. (2018).

기록값 통계량에 기초한 무한고장 NHPP 소프트웨어 혼합 신뢰성장 모형에 관한 연구 (Infinite Failure NHPP Software Mixture Reliability Growth Model Base on Record Value Statistics)

  • 김희철;신현철;김경수
    • 융합보안논문지
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    • 제7권3호
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    • pp.51-60
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    • 2007
  • 무한고장수를 가진 비동질적인 포아송 과정에 기초한 모형들에서 잔존 결함 1개당 고장 발생률은 일반적으로 상수, 혹은 단조증가 및 단조 감소 추세를 가지고 있다. 본 논문에서는 소프트웨어 신뢰성 모형인 지수분포모형과 어랑 분포 모형을 재조명하고 보다 현실적인 혼합분포모형을 제안 하였다. 고장 간격시간으로 구성된 자료를 이용한 모수추정 방법은 최우추정법과 일반적인 수치해석 방법인 이분법을 사용하여 모수 추정을 실시하고 효율적인 모형 선택은 편차자 승합(SSE) 및 콜모고로프 거리를 적용하여 모형들에 대한 효율성 입증방법을 설명하였다. 소프트웨어 고장 자료 분석에서는 41개의 고장 수를 가진 S27[12] 자료를 통하여 분석하였다. 이 자료들에서 지수분포 모형과 어랑분포 모형 및 혼합분포 모형의 비교를 위하여 산술적 및 라플라스 검정, 편의 검정 등을 이용하였다.

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모형 가스터빈 연소기의 입구 형상변화에 따른 연소 불안정성에 관한 LES 연구 (LES Studies on the Combustion Instability with Inlet Configurations in a Model Gas Turbine Combustor)

  • 황철홍;이창언
    • 대한기계학회논문집B
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    • 제32권5호
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    • pp.342-350
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    • 2008
  • The effects of combustion instability on flow structure and flame dynamics with the inlet configurations in a model gas turbine combustor were investigated using large eddy simulation (LES). A G-equation flamelet model was employed to simulate the unsteady flame behaviors. As a result of mean flow field, the change of divergent half angle($\alpha$) at combustor inlet results in variations in the size and shape of the central toroidal recirculation (CTRZ) as well as the flame length by changing corner recirculation zone (CRZ). The case of ${\alpha}=45^{\circ}$ show smaller size and upstream location of CTRZ than those of $90^{\circ}$ and $30^{\circ}$ by the development of higher swirl velocity. The flame length in the case of ${\alpha}=45^{\circ}$ is shorter than other cases, while the case of ${\alpha}=30^{\circ}$ yields the longest flame length due to the decrease of effective reactive area with the absence of CRZ. Through the analysis of pressure fluctuation, it was identified that the case of ${\alpha}=45^{\circ}$ shows the largest damping effect of pressure oscillation in all configurations and brings in the noise reduction of 2.97dB, compared to that of ${\alpha}=30^{\circ}$ having the largest pressure oscillation. These reasons were discussed in detail through the analysis of unsteady phenomena related to recirculation zone and flame surface. Finally the effects of flame-acoustic interaction were evaluated using local Rayleigh parameter.

Cut out effect on nonlinear post-buckling behavior of FG-CNTRC micro plate subjected to magnetic field via FSDT

  • Jamali, M.;Shojaee, T.;Mohammadi, B.;Kolahchi, R.
    • Advances in nano research
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    • 제7권6호
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    • pp.405-417
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    • 2019
  • This research is devoted to study post-buckling analysis of functionally graded carbon nanotubes reinforced composite (FG-CNTRC) micro plate with cut out subjected to magnetic field and resting on elastic medium. The basic formulation of plate is based on first order shear deformation theory (FSDT) and the material properties of FG-CNTRCs are presumed to be changed through the thickness direction, and are assumed based on rule of mixture; moreover, nonlocal Eringen's theory is applied to consider the size-dependent effect. It is considered that the system is embedded in elastic medium and subjected to longitudinal magnetic field. Energy approach, domain decomposition and Rayleigh-Ritz methods in conjunction with Newton-Raphson iterative technique are employed to trace the post-buckling paths of FG-CNTRC micro cut out plate. The influence of some important parameters such as small scale effect, cut out dimension, different types of FG distributions of CNTs, volume fraction of CNTs, aspect ratio of plate, magnitude of magnetic field, elastic medium and biaxial load on the post-buckling behavior of system are calculated. With respect to results, it is concluded that the aspect ratio and length of square cut out have negative effect on post-buckling response of micro composite plate. Furthermore, existence of CNTs in system causes improvement in the post-buckling behavior of plate and different distributions of CNTs in plate have diverse response. Meanwhile, nonlocal parameter and biaxial compression load on the plate has negative effect on post-buckling response. In addition, imposing magnetic field increases the post-buckling load of the microstructure.

The finite element method for dynamics of FG porous truncated conical panels reinforced with graphene platelets based on the 3-D elasticity

  • Lingqin Xia;Ruiquan Wang;Guang Chen;Kamran Asemi;Abdelouahed Tounsi
    • Advances in nano research
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    • 제14권4호
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    • pp.375-389
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    • 2023
  • In this study, free vibration analysis of functionally graded (FG) porous truncated conical shell panels reinforced by graphene platelets (GPLs) has been investigated for the first time. Additionally, the effect of three different types of porosity distribution and five different types of GPLs patterns on dynamic response of the shell are also studied. Halpin-Tsai micromechanical model and Voigt's rule are used to determine Young modulus, shear modulus and Poisson's ratio with mass densities of the shell, respectively. The main novelties of present study are: applying 3D elasticity theory and the finite element method in conjunction with Rayleigh-Ritz method to give more accurate results unlike other simplified shell theories, and also presenting a general 3D solution in cylindrical coordinate system that can be used for analyses of different structures such as circular, annular and annular sector plates, cylindrical shells and panels, and conical shells and panels. A convergence study is performed to justify the correctness of the obtained solution and numerical results. The impact of porosity and GPLs patterns, the volume of voids, the weight fraction of graphene nanofillers, semi vertex and span angles of the cone, and various boundary conditions on natural frequencies of the functionally graded panel have been comprehensively studied and discussed. The results show that the most important parameter on dynamic response of FG porous truncated conical panel is the weight fraction of nanofiller and adding 1% weight fraction of nanofiller could increase 57% approximately the amounts of natural frequencies of the shell. Moreover, the porosity distribution has great effect on the value of natural frequency of structure rather than the porosity coefficient.

냉각 실린더의 수평 거리가 저장 용기 내부의 기체 수소 자연대류 현상에 미치는 영향 (Effect of Horizontal Distance of Cold Cylinders on Natural Convection of Gaseous Hydrogen in a Physical Storage Container)

  • 서영민;노현우;하동우;구태형;고락길
    • 한국수소및신에너지학회논문집
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    • 제34권3호
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    • pp.274-282
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    • 2023
  • This study conducted direct numerical simulations of the natural convection phenomena of gaseous hydrogen in a physical storage container containing four circular cylinders. Rayleigh numbers (Ra) in the range of 104≤Ra≤106 and a Prandtl number (Pr)=0.69 (gaseous hydrogen) were considered. The main parameter is a horizontal distance of four circular cylinders and the values of εh=0.1, 0.2, 0.3, 0.4, and 0.5 are considered. The flow and thermal structures and corresponding heat transfer characteristics are investigated with respect to the transition of the flow regime. The time- and surface-averaged Nusselt number on the cylinder surface and the wall of physical storage container increased by about 57% and 69% according to the Ra and εh, respectively. Thus, the horizontal distance has an influence on the heat transfer characteristics on natural convection of gaseous hydrogen.

기상 입력장 오차에 대한 자외선 오존 프로파일 산출 알고리즘 민감도 분석 (Sensitivity Analysis of Satellite BUV Ozone Profile Retrievals on Meteorological Parameter Errors)

  • 신대근;박주선;김재환
    • 대한원격탐사학회지
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    • 제34권3호
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    • pp.481-494
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    • 2018
  • 자외선 관측 자료로부터 최적 추정법을 이용해 오존 프로파일을 산출하기 위해서는 복사모델을 이용한 정확한 복사모의가 매우 중요하다. 복사모델 입력 변수는 복사 모의의 정확도를 결정하는 중요한 요소이며, 특히 온도와 지면 기압과 같은 기상 입력 변수는 각각 오존 흡수 계수와 레일리 산란을 계산하는데 사용되어 복사 스펙트럼 모의에 직접적인 영향을 준다. 따라서 그 영향을 평가하기 위해, 복사전달 모델을 이용하여 온도와 지면 기압에 대한 자외선 오존 프로파일 산출 민감도 검사가 수행되었다. 지면 기압은 기상 수치 예보모델 기반의 일 자료와 월 기후 자료에서 100 hPa 미만의 평균 오차를 보였으며, 해당 오차에 대해 계산된 오존 산출 오차는 각 층에 대해 약 0.2 DU 미만이다. 한편, 온도는 일 자료와 월 기후 자료에 대해서 지점과 고도에 따라 1~7K의 오차를 보였으며, 이에 대해 계산된 오존 산출 오차는 층별로 약 4 DU으로 나타났다. 이 같은 결과들은 위성 관측 값으로부터 산출된 연직 오존 정보를 이해하는데 도움이 될 뿐만 아니라, 알고리즘의 현업화 과정에서 기상 입력 자료의 선택 및 시스템 설계 방향 수립에 효과적으로 활용 가능할 것으로 기대된다.

토목관련 천부층 조사에서 다중 모드 표면파 역산의 효과 (Effectiveness of multi-mode surface wave inversion in shallow engineering site investigations)

  • Feng Shaokong;Sugiyama Takeshi;Yamanaka Hiroaki
    • 지구물리와물리탐사
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    • 제8권1호
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    • pp.26-33
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    • 2005
  • 최근 들어 토목관련 천부층 조사에 다중 모드 표면파 위상 속도의 역산이 많은 관심을 받고 있다. 감도 분석, 그리고 합성탄성파자료와 현장자료의 역산 결과는 이 방법이 기본 모드만을 이용하는 것에 비해 매우 효과적임을 보여주고 있다. 이중 모드 레일리 파의 위상속도들에서 층의 두께와 전단파 속도에서의 조그만 변화는 고차 모드의 감도들을 (a) 다른 주파수 대역들에 모이게 하고 (b) 심도가 깊어질수록 기본 모드보다도 더 크게 한다. 이 관찰을 통해 다중 모드 위상 속도 역산을 이용하면 기본 모드 자료들만의 역산에 비해 변수값들을 더 잘 구분해 낼 수 있고 깊은 구조, 특히 속도 역전이 일어난 구조에 대해 보다 나은 영상을 얻을 수 있음을 알 수 있다. 20 m 깊이에 저속도층이 존재하는 모델에서 이론적인 위상 속도들의 역산은 1차 모드만 첨가될 때 단지 연암층만을 영상화할 수 있다. 이 사실은 측정 가능한 가장 낮은 주파수가 단지 6 Hz 일 때 특히 중요하다. 현장시험들이 시추공과 PS 검층을 이용하여 조사된 지역들에서 행해졌다. 첫 번째 지역에서는 일본에서 심부 지질조사에 주로 이용되는 microtremor 배열 탐사가 35 m 깊이까지 토양층을 탐사하기 위해 사용되었다. 두 번째 지역에서는 12 m 깊이까지 조사하기 위해 sledgehammer 음원과 선형 다중 채널 수진기 전개를 이용하여 자료가 얻어졌다. 분산곡선 분석을 위해서 주파수-파수 파워 스펙트럼법이 사용되었고 각각의 시험에서 2차 모드의 속도까지 구해졌다. 다중 모드 역산 결과는 PS 검층기록과 잘 일치한다. 하지만 단지 기본 모드만을 이용하여 얻어진 결과는 매립지 아래의 천부 연암층까지의 깊이를 매우 작게 평가하였다.