• Title/Summary/Keyword: Differential analysis

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Post-buckling of Non-uniform Cantilever Column Subjected to a Combined Load (결합하중을 받는 임의단면 기둥의 좌굴후 해석)

  • Shin, Young-Jae;Chiba, Masakatsu
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.12 no.5
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    • pp.323-329
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    • 2002
  • This paper presents the application of the technique of differential transformation to the post-buckling problem of non-uniform cantilever column subjected to a combined load. Numerical calculations are carried out and compared with previously published results to validate the results of the present method. The results obtained by this method agree very well with those reported in the previous works. The results obtained by the present method are presented for both various non-uniform columns and loads.

Analysis of Prospective Teachers' Mathematical Content Knowledge about Differential area (예비교사의 미분영역에 관한 내용지식의 분석)

  • Cho, Wan-Young
    • School Mathematics
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    • v.14 no.2
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    • pp.233-253
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    • 2012
  • The purpose of the study investigate mathematics content knowledge(MCK) of prospective teachers in differential area. 70 prospective teachers were asked to perform six questions based on Cho's MCK (2010, 2011). The results show that depending on whether they experience any teacher education program, the level of prospective teachers' mathematics content knowledge may vary. In particular, prospective teachers struggled with an unfamiliar problem situations. We also found that prospective mathematics teachers have some difficulty in solving problem about the use of mean value theorem and derivative.

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Dynamic Characteristics of Revolution Shells (회전쉘의 동적 특성에 관한 연구)

  • Park, Sung-Jin
    • Journal of the Society of Disaster Information
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    • v.10 no.1
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    • pp.123-140
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    • 2014
  • This paper proposes a simple and effective method for determining the dynamic characteristics of revolution shells. This is a weighted residual method in which the collocation points are taken at the roots of orthogonal polynomial. In this paper the collocation method is employed to replace a partical differential eqations by a system of ordinary differential equations in time, and the resulting equations are solved by two different numerical methods of time integration : an implicit method and an explicit method. The proposed approach is formulated in some detail. The versatility and accuracy are illustrated through several numerical examples. The method appears to be relatively easy to set up and gives satisfactory results.

Comparison of Digital Radiometric Features between Radicular Cysts and Periapical Granulomas (치근단낭과 육아종의 디지털방사선학적 비교연구)

  • Jin Yeon-Hwa;Lee Keon-Il
    • Journal of Korean Academy of Oral and Maxillofacial Radiology
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    • v.29 no.1
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    • pp.241-254
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    • 1999
  • The purpose of this study was to investigate whether a radiometric analysis of radicular cysts and periapical granulomas is useful in the differential diagnosis. In this experiment, twenty-nine periapical radiographs of the radicular cyst and those periapical granuloma were used. The periapical radiography was taken by intraoral paralleling device. The X-ray film was digitized and digitally filtered to reduce film-grain noise. We estimated density difference of the inner/outer area, roundness or circularity, bone profile or scan line of the margin and cumulative percentage frequency curve of radicular cyst & periapical granuloma. The obtained results were as follows; 1. The differences in density between ROIs of inner and outer area of radicular cysts were smaller than those of periapical granulomas. 2. The equivalent circular diameter was over 6.3mm, there was significant difference between periapical cyst and periapical granuloma. 3. In differential diagnosis of radicular cyst and periapical granuloma using bone profile. sensitivity. specificity and accuracy were considerably high(0.83. 0.86. 0.86) respectively. 4. Cumulative percentage frequency curve of the radicular cyst was closer to the pseudo-pixel value of 50 than average curve, whereas periapical granuloma was closer to that of 0. Hence we conclude that digital radiometric features might be useful in the differential diagnosis between radicular cyst and periapical granuloma.

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Differential temperature fire detector analysis of comparative study based on sensor installation (차동식 열감지기 설치기준 비교분석에 관한 연구)

  • Hwang, Dong-Hwan;Yang, Kwang Mo;Kang, Kyung-Sik
    • Journal of the Korea Safety Management & Science
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    • v.16 no.4
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    • pp.379-389
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    • 2014
  • Fire detectors are designed to minimize loss of life from a fire alarm system as an alarm to help evacuate more quickly until the completion of the evacuation alarm should be continued. the purpose of such alarms in order to achieve the characteristic fire heat release rate reaches a certain level, or when a certain time has elapsed, when the heat detector is to be alarms to answer. Requires a quick response, it is desirable to install the sensor as much as possible, but taking into account the cost of installation problems by engineering approach to minimize the quantity and rapidity of detection capability should be increased. In order to increase the rapidity of fire detectors in a room according to the height of the sensing period is to be maintained the optimum distance of the fire detector detects characteristics should be considered. Differential spot-type heat detectors installed domestic basis, depending on the type of sensor that can detect one sensor area is limited and less than 4m ceiling height regulations and simply double the number in excess of 4m and intended to be installed.

Identification of Two-Phase Flow Patterns Based on Statistical Characteristics of Differential Pressure Fluctuations (차압교란치의 통계적 특성에 의한 2상유동양식의 판별)

  • 이상천;이정표;김중엽
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.14 no.5
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    • pp.1290-1299
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    • 1990
  • Characteristics of flow patterns in horizontal gas-liquid two-phase flow for two different sizes of pipe were investigated based upon a statistical analysis of differential pressure fluctuations at an orifice. The probability density function and the power spectral density function of the traces indicate peculiar shapes depending upon the two-phase flow regime. Mixed and separated flows also could be identified by the autocorrelation function. The transition region from separated flow to mixed flow also could be identified by these statistical properties. The experimental data determined by this method were compared with the flow pattern maps suggested by other investigators. The result indicates that the statistical characteristics of differential pressure fluctuations at orifices may be a useful tool for identifying flow patterns of horizontal gas-liquid two-phase flow.

Eddy Current Sensor Development for Offshore Pipeline NDT Inspection (해양파이프라인 비파괴검사를 위한 와전류 센서 개발)

  • Lee, Seul-Gi;Song, Sung-Jin
    • Journal of Ocean Engineering and Technology
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    • v.29 no.2
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    • pp.199-206
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    • 2015
  • Regular high-strength carbon steel is currently the most commonly used pipe material for onshore and offshore pipelines. The corrosion of offshore pipelines is a major problem as they age. The collapse of these structures as a result of corrosion may have a heavy cost is lives and assets. Therefore, their monitoring and screening is a high priority for maintenance, which may ensure the integrity and safety of a structure. Monitoring risers and subsea pipelines effectively can be accomplished using eddy current inspection to detect the average remaining wall thickness of corroded low-alloy carbon steel pipelines through corrosion scaling, paint, coating, and concrete. A test specimen for simulating the offshore pipeline is prepared as a standard specimen for an analysis and experiment with differential bobbin eddy current sensors. Using encircling coils, the signals for the defect in the simulated specimen are analyzed and evaluated in experiments. Differential bobbin eddy current sensors can diagnose the defects in a specimen, and experiments have been carried out using the developed bobbin eddy current sensor. As a result, the most optimum coil parameters were selected for designing differential bobbin eddy current sensors.

Nonlinear vibration analysis of a nonlocal sinusoidal shear deformation carbon nanotube using differential quadrature method

  • Pour, Hasan Rahimi;Vossough, Hossein;Heydari, Mohammad Mehdi;Beygipoor, Gholamhossein;Azimzadeh, Alireza
    • Structural Engineering and Mechanics
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    • v.54 no.6
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    • pp.1061-1073
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    • 2015
  • This paper presents a nonlocal sinusoidal shear deformation beam theory (SDBT) for the nonlinear vibration of single walled carbon nanotubes (CNTs). The present model is capable of capturing both small scale effect and transverse shear deformation effects of CNTs, and does not require shear correction factors. The surrounding elastic medium is simulated based on Pasternak foundation. Based on the nonlocal differential constitutive relations of Eringen, the equations of motion of the CNTs are derived using Hamilton's principle. Differential quadrature method (DQM) for the natural frequency is presented for different boundary conditions, and the obtained results are compared with those predicted by the nonlocal Timoshenko beam theory (TBT). The effects of nonlocal parameter, boundary condition, aspect ratio on the frequency of CNTs are considered. The comparison firmly establishes that the present beam theory can accurately predict the vibration responses of CNTs.

Stress Analysis for Differential Drying Shrinkage of Concrete (콘크리트의 부등건조수축으로 인한 응력의 해석)

  • 김진근;김효범
    • Magazine of the Korea Concrete Institute
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    • v.6 no.4
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    • pp.102-112
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    • 1994
  • The drying shrinkage of concrete has a close relation to the water movement. Since the diffusion process of water in concrete is strongly dependent on the temperature and the pore humidity, the process is highly nonlinear phenomena. This study consists of two parts. The first is the development of a finite element program which is capable of simulating the rnoisture distri- ,bution in concrete, and the other is the estimation of the differential drying shrinkage and stress considering creep by using the modified elastic modulus due to inner temperature change and maturity. It is shown that the analytical results of this study are in good agreement with experlimental data in the literatures, and results calculated by BP-KX model. The internal stress caused by moisture distribution which was resulted from the diffusion process, was calculated :quantitatively. The tensile stress which occured in the drying outer zone mostly exceeded the tensile strength of concrete, and necessarily would result in crack formation.

Performance Analysis of Common Spreading Code CDMA Packet Radio Systems with Multiple Capture Capability (다중캡쳐 특성의 단일확산코드 CDMA 패킷 라디오 시스팀들의 성능 분석)

  • 김동인
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.16 no.12
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    • pp.1286-1299
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    • 1991
  • In this paper we present a multiple capture model for common spreading code CDMA packet radio systems with star topology. Basic equations for the collision free, header detection. and multiple capture probabilities are derived at the central receiver. Link performances. including the average number of packet captures, allowable number of simultaneous transmission, and system throughput are theoretically evaluated for a hybrid system. combining envelope header detection and differential data detection, Using the Block Oriented Systems Simulator(BOSS), simulations were carried out for the central receivers with envelope or differential geader detection, It is shown that for a threshold approx-imation to the probability of data packet success, the mulyiple capture model significantly improves system throughput.

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