• 제목/요약/키워드: higher derivation

검색결과 110건 처리시간 0.026초

A Variant of the Brillouin-Wigner Perturbation Theory with Epstein-Nesbet Partitioning

  • Lee, Sangyoub;Choi, Cheol Ho;Kim, Eunji;Choi, Young Kyun
    • Bulletin of the Korean Chemical Society
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    • 제34권11호
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    • pp.3279-3283
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    • 2013
  • We present an elementary pedagogical derivation of the Brillouin-Wigner and the Rayleigh-Schr$\ddot{o}$dinger perturbation theories with Epstein-Nesbet partitioning. A variant of the Brillouin-Wigner perturbation theory is also introduced, which can be easily extended to the quasi-degenerate case. A main advantage of the new theory is that the computing time required for obtaining the successive higher-order results is minimal after the third-order calculation. We illustrate the accuracy of the new perturbation theory for some simple model systems like the perturbed harmonic oscillator and the particle in a box.

축방향과 반경방향흐름 크로마토그래피의 단백질 분리속도와 분리능에 대한 비교 (Comparison of Axial and Radial Flow Chromatography on Protein Separation Speed and Resolution)

  • 김윤하;이은규
    • KSBB Journal
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    • 제10권5호
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    • pp.482-490
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    • 1995
  • The relationship between pressure drop and liquid flow rate, for an axial and a radial flow chromatographic column packed with compressible porous media was theoretically analyzed using modified Kozeny-Carman equation. The results were compared with experimental observations obtained using compressible DEAE-agarose as a model medium. At 2-9 psi range studied, the theoretical derivation accounting for 'gel compression' effect predicted simple Langmuirian type response of volumetric flow rate to changes in pressure drop. On the other hand, the experimental response was more or less sigmoidal. At the same pressure drop, radial column showed 2-3 times higher flow rates than those of axial column both theoretically and experimentally. Using r-HBsAg crude extract, protein resolution effects between the two types of columns at different flow rates were compared side-by-side. It turned out that, though general chromatographic behavior was very similar, axial column was somewhat superior in terms of r-HBsAg recovery yield and specificity. However, the number of theoretical plates analysis indicated the protein resolution effects were comparable.

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An asymptotic multi-scale approach for beams via strain gradient elasticity: surface effects

  • Kim, Jun-Sik
    • Multiscale and Multiphysics Mechanics
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    • 제1권1호
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    • pp.15-33
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    • 2016
  • In this paper, an asymptotic method is employed to formulate nano- or micro-beams based on strain gradient elasticity. Although a basic theory for the strain gradient elasticity has been well established in literature, a systematic approach is relatively rare because of its complexity and ambiguity of higher-order elasticity coefficients. In order to systematically identify the strain gradient effect, an asymptotic approach is adopted by introducing the small parameter which represents the beam geometric slenderness and/or the internal atomistic characteristic. The approach allows us to systematically split the two-dimensional strain gradient elasticity into the microscopic one-dimensional through-the-thickness analysis and the macroscopic one-dimensional beam analysis. The first-order beam problem turns out to be different from the classical elasticity in terms of the bending stiffness, which comes from the through-the-thickness strain gradient effect. This subsequently affects the second-order transverse shear stress in which the surface shear stress exists. It is demonstrated that a careful derivation of a first strain gradient elasticity embraces "Gurtin-Murdoch traction" as the surface effect of a one-dimensional Euler-Bernoulli-like beam model.

Effect of thickness stretching and multi-field loading on the results of sandwich piezoelectric/piezomagnetic MEMS

  • Xiaoping Zou;Gongxing Yan;Wangming Wu;Wenjie Yang;Weiwei Shi;Yuhusun Sun
    • Steel and Composite Structures
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    • 제46권4호
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    • pp.485-495
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    • 2023
  • Bending static and stress investigation of a microplate of piezoelectric/piezomagnetic material subjected to combined multifield loading. Shear deformable as well as thickness stretched model is used for derivation of the kinematic relations. Multi field governing equations are derived analytically through principle of virtual work. the results are analytically obtained analytically including magnetic/electric potentials, displacement and stress components with variation in multifield loading parameters.

건설공사 공종별 사고유형 및 사고객체 교차분석을 통한 중점안전관리항목 도출 (Derivation of Key Safety Management Factors by Construction Process through Cross-Tabulation Analysis between Accident Types and Objects)

  • 유나영;김하림;이찬우;조훈희
    • 한국건축시공학회:학술대회논문집
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    • 한국건축시공학회 2022년도 봄 학술논문 발표대회
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    • pp.127-128
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    • 2022
  • The construction industry has a higher disaster rate than other industries, so safety education and management are highly important. In order to reduce the construction accident rate, it is necessary to study the key safety management factors reflecting the characteristics of the construction industry, where there are differences in processes and manpower input for each process, and a small number of managers. Therefore, in this study, key safety management factors for each Process of construction were derived through cross-analysis between safety accident types and accident occurrence objects through disaster case data. The extracted key safety management factors are expected to provide useful information for safety education and supervision of construction sites.

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경계조건의 조절에 따른 합성 데크플레이트 슬래브의 거동특성에 관한 연구 (A Study on the Dynamic Characteristics of Composite Deck Plate According to the Modification of Boundary Conditions)

  • 김우영;정은호;엄철환;김희철
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 1998년도 춘계학술대회논문집; 용평리조트 타워콘도, 21-22 May 1998
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    • pp.371-376
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    • 1998
  • As the requirement of high-rise buildings in big cities increases, steel structural system becomes more popular in spite of the relatively higher material cost compared to that of the concrete structural system. Most of the steel structure adopts metal deck floor system because of the easiness in construction. However, the metal deck floor system has a weakness on vibration which became very important factor in office buildings, hotels and residential buildings as the more sensitive machines being used. Therefore, most, of the building codes in many countries restrict the natural frequency of the each floor should be higher than or equal to 15 Hz. Floor vibration of the KEM deck composite floor system which has been , developed recently from the engineers and scientists in Korea was measured. Also, the simplified analytical derivation of natural frequency for each floor was studied according to the measured natural frequency for each different boundary condition of the floor. As the length of the slab gets bigger, the natural frequency of the slab becomes lower even though the structural designer still considers it as a one-way slab.

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구형축열체를 이용한 축열기의 설계인자도출 (Derivation of Design Parameter for Heat Regenerator with Spherical Particles)

  • 조한창;조길원;이용국
    • 대한기계학회논문집B
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    • 제27권10호
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    • pp.1412-1419
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    • 2003
  • Heat regenerator occupied by regenerative materials improves thermal efficiency of combustion system through the recovery of sensible heat of exhaust gases. By using one-dimensional two-phase fluid dynamics model, the unsteady thermal flow of regenerator with spherical particles, was numerically analyzed to evaluate the heat transfer and pressure losses and to derive the design parameter for heat regenerator. It is confirmed that the computational results, such as air preheat temperature, exhausted gases outlet temperature, and pressure losses, agreed well with the experimental data. The thermal flow in heat regenerator varies with porosity, configuration of regenerator and diameter of regenerative particle. As the gas velocity increases with decreasing the cross-sectional area of the regenerator, the heat transfer between gas and particle enhances and pressure losses decrease. As particle diameter decreases, the air is preheated higher and the exhaust gases are cooled lower with the increase of pressure losses. Assuming a given exhaust gases temperature at the regenerator outlet, the regenerator need to be linearly lengthened with inlet Reynolds number of exhaust gases, which is defined as a regenerator design parameter.

High Step-Down Multiple-Output LED Driver with the Current Auto-Balance Characteristic

  • Luo, Quanming;Zhu, Binxin;Lu, Weiguo;Zhou, Luowei
    • Journal of Power Electronics
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    • 제12권4호
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    • pp.519-527
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    • 2012
  • A high step-down multiple-output LED driver is proposed in this paper. Firstly, the derivation of the driver with dual-output is presented and its operation principle and steady state performance are analyzed in detail. Secondly, a high step-down N-channel LED driver is proposed and its current auto-balance characteristic and step-down ratio are analyzed. Finally, an experimental prototype is built and the experimental results are given. The theoretical analysis and experimental results show that the proposed driver has the following virtues: First, if load balancing is achieved, the voltage gain is 1/N that of a Buck driver, where N is the number of channels. Second, each output automatically has an equal output current, without requiring more current close-loop control circuits than a Buck driver. Last, the voltage stresses of the switches and diodes are lower than those of a Buck driver, meaning that lower voltage switches and diodes can be used, and a higher efficiency can be expected.

ICP 알고리즘의 회전 성분 신뢰도 행렬 유도 (Derivation of a Confidence Matrix for Orientation Components in the ICP Algorithm)

  • 이병욱;김철민;박래홍
    • 전자공학회논문지S
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    • 제35S권12호
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    • pp.69-76
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    • 1998
  • 본 논문에서는 ICP (Iterative Closest Point) 알고리즘을 이용한 영상등록에서의 회전 성분 신뢰도를 추정할 수 있는 행렬을 유도하 였다. ICP 알고리즘 결과의 신뢰도는 영상등록을 하려는 입력 물체의 모양에 따라 다르다. 보통 원통과 같은 어떤 축에 대한 회전체보 다는 더 복잡하고 두드러진 특징이 많은 물체일수록 신뢰도가 높은 결과를 얻게 된다. 본 논문에서는 ICP 알고리즘으로 구한 값의 신뢰도를 점으로 표현되는 입력물체에서의 각 점의 위치와 법선 벡터에 대한 식으로 나타내었다. 입력물체에 잡음이 들어갔을 때, 이로 인한 ICP 결과의 오차를 제시한 신뢰도를 이용해 추정하였다. 마지막으로 타원체 합성영상에 대한 신뢰도와 잡음이 들어갔을 때의 ICP 결과의 오차를 컴퓨터 모의실험으로 비교 분석하여 이론치와 부합되는 것을 보였다.

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Low Outliers를 고려한 홍수빈도분석에 관한 연구 (A study on the Flood Frequency Analyzed in Consideration of Low Outliers.)

  • 이순혁;홍성표;박명근
    • 한국농공학회지
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    • 제30권4호
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    • pp.62-70
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    • 1988
  • This study was conducted to solve the problems for the unsuitable parameters and the uncertainty of design flood can be appeared by low outliers were inclined to the lower part from the trend of the balance of the data. Derivation of reasonable design flood was attempted finally by modification of low outliers with analysis of flood frequency by means of Log Pearson Type Ill distribution. Three subwatersheds were selected as studying basins with the annual maximum series including low outliers along Geum River basin. The results through this study were analyzed and summarized as follows. 1. Log Pearson Type In distribution was confirmed as a reasonable one by X$^2$ goodness of fit test at Gong Ju, Gyu Am, og Cheon watershed along Geum River basin. 2. Probable flood flows for each watershed were derivated by flood frequency curve with outliers. 3. Weighted skew coefficient for each watershed was calculated for the evaluation of freq- uency factor which is needed for the modification of low outlier. 4. It was confirrned that adjusted frequency curve has a lower tendency than that of deletion of low outlier in common at all watersheds. 5. Final probable flood flows were derivated by modification with evaluation of modified basic statistics for three watersheds. 6. In comparison with a frequency curve with modification and one with outlier, The former has a higher probable flood flow within three years of return periods than that of the latter, and vice versa over three years of return periods.

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