• Title/Summary/Keyword: 근사 공식

Search Result 75, Processing Time 0.022 seconds

On the LACBED Method to Determine the Nature of the Dislocation Defect in Crystalline Materials (결정체내의 전위 결함 형태를 결정하는 LACBED 방법에 관한 고찰)

  • Kim, Hwang-Su
    • Applied Microscopy
    • /
    • v.35 no.4
    • /
    • pp.64-73
    • /
    • 2005
  • In this paper we discussed in details how to determine the nature of dislocations in a crystal such as a Burgers vector, the line vector of dislocation and the associated slip plane, using LACBED and usual imaging techniques. These techniques basically involve the application of Cherns and Prestone s rules, the simulations of LACBED patterns with a certain form of the dynamical diffraction theory. The theoretical aspects including necessary approximations for calculations also were in details discussed. As a test specimen for experiments, the foils of a pure aluminum, containing many dislocations with appropriate density for LACBED experiments, were used..

New State-of-Charge Polynomial using Hermite Interpolation (헤르미트 보간법을 이용한 새로운 SOC 다항식)

  • Jung, Ji-Heung;Jeon, Joon-Hyeon
    • Journal of the Institute of Electronics Engineers of Korea SC
    • /
    • v.48 no.1
    • /
    • pp.9-17
    • /
    • 2011
  • This paper provides, through the use of Hermite Interpolation, a new polynomial for Storage of Charge(SOC) solution of the low-power-battery. It also gives a general formula which permits direct and simple computation of coefficients of the proposed polynomial. From the simulation results based on real SOC, it is shown that this new approach is more accurate and computationally efficient than previous Boltzmann's SOC. This solution provides a new insight into the development of SOC algorithm.

구대칭 일반상대론적 유체역학 코드의 개발

  • Park, Dong-Ho
    • The Bulletin of The Korean Astronomical Society
    • /
    • v.38 no.1
    • /
    • pp.75.1-75.1
    • /
    • 2013
  • 자체의 중력 효과를 고려하는 구대칭 완전 유체 전산모사 연구를 위해 일반상대론적 유체역학 코드를 이 분야 연구자들을 위한 공개용으로 개발하였다. 이 코드는 3+1 ADM(Arnowitt-Deser-Misner) 공식과 등방 공간 좌표를 사용하였다. 시공간 기하를 구하기 위해 극한값 썰기 (maximal slicing) 조건과 함께 세 개의 제한 방정식을 풀었고, 시공간을 채우는 물질인 유체는 근사 리만 해법을 사용한 HRSC (high resolution shock capturing) 기법으로 오일러 관찰자 시점에서 풀었다. 이 코드의 수렴성과 정확성을 검증하기 위해 상대론적인 구대칭 충격파 비교 분석, 블랙홀로 빨려 들어가는 상대론적 구대칭 강착, TOV(Tolman-Oppenheimer-Volkoff) 별 및 OS (Oppenheimer-Snyder) 붕괴 코드 테스트를 수행하였다. 특히, 이 코드의 동적 진화 테스트인 OS 붕괴의 경우 해석적인 해와 결과를 비교하기 위하여 좌표변환을 수치 계산으로 수행하였다. 아인슈타인의 일반상대성 이론을 넘어서는 변형된 중력이론 중 하나로 최근 제시된 EiBI(Eddington-inspired Born-Infeld) 이론에서 TOV 별의 해가 일반상대성 이론과 어떠한 차이를 보이는지 살펴 보았고, 그 이론에서도 물질이 붕괴하여 블랙홀을 만드는 경우 특이점이 형성되는지 고찰해 보았다.

  • PDF

Numerical Simulation of Radio Signal Characteristics in Meteor Burst Radio Channel (유성 버스트 통신 경로의 무선 신호 특성 해석)

  • 김병철;미하일티닌
    • Journal of the Korea Institute of Information and Communication Engineering
    • /
    • v.8 no.3
    • /
    • pp.563-569
    • /
    • 2004
  • The formulas taking into account the fundamental features of a meteoric radio propagation are obtained. Numerical simulation analysis has shown complex space structure of a field. Time behavior of intensity are researched taking into account nonstationary model. It is shown, this behavior essentially depends on parameters of a meteor trail, and that there is large variety of time dependencies of the signal intensity at the single scattering. In particular, at appropriate parameters of a meteor underdense trail it is possible large duration meteor bursts with which usually refer to an overdense meteor propagation.

Two-photon resonance condition in Three level Atomic System (3준위 원자계에서 2광자 공진 조건)

  • Park, Jong-Dae;Cho, Chang-Ho
    • The Journal of Natural Sciences
    • /
    • v.12 no.1
    • /
    • pp.23-30
    • /
    • 2002
  • Atomic coherences induced by the interaction with light provide new physical properties and optical phenomena. Even though two-photon resonances play important roles in build-up of atomic coherences, only approximate formula for two-photon resonance condition has often been used. In this paper, we present the more accurate two-photon resonance condition and confirm it using numerical simulation. We also studied the effects of laser frequency detuning and intensity on the two-photon resonance .

  • PDF

Study(VII) on Development of Charts and Equations Predicting Bearing Capacity for Prebored PHC Piles Socketed into Weathered Rock through Sandy Soil Layers - Allowable Axial Compressive Bearing Capacity Formulae - (사질토를 지나 풍화암에 소켓된 매입 PHC말뚝에서 지반의 허용압축지지력 산정도표 및 산정공식 개발에 관한 연구(VII) - 지반의 허용압축지지력 산정공식 -)

  • Kwon, Oh-Kyun;Nam, Moon S.;Lee, Wonje;Yea, Geu Guwen;Choi, Yongkyu
    • Journal of the Korean Geotechnical Society
    • /
    • v.35 no.12
    • /
    • pp.69-89
    • /
    • 2019
  • Design chart solution and table solution were proposed by Choi et al. (2019a), which conducted a parametric numerical study for the bored PHC piles socketed into weathered rocks through sandy soil layers. Based on the Choi et al. (2019a), the new prediction formulae for mobilized capacity components such as total capacity, total skin friction and skin friction of sand at the settlement of 5% pile diameter were proposed in this study. The proposed prediction formulae (EQ-G1) considers pile diameter, relative embedment length and ${\bar{N}}$ (i.e, corrected N) value and their verification results are as follows. The SRF calculated from the new proposed design method was 71~94%, which are greatly improved compared with results by the existing design method. The design efficiency of bearing capacity was in the range of reasonable design except 4 cases, and the design efficiency of the PHC pile was evaluated as 85%. Therefore, it is possible that allowable compressive load (Pall) of PHC pile can be utilized in the resonable design by means of the new proposed method using EQ-G1 equations. And the other new proposed equations of EQ-G2-3 can be utilized approximately in calculation of axial compressive bearing capacity components for prebored PHC pile.

Estimation of Shaft Resistance of Drilled Shafts Based on Hoek-Brown Criterion (Hoek-Brown 공식을 이용한 현장타설말뚝의 주면마찰력 산정)

  • 사공명;백규호
    • Journal of the Korean Geotechnical Society
    • /
    • v.19 no.1
    • /
    • pp.209-220
    • /
    • 2003
  • Modification of general Hoek and Brown criterion is carried out to estimate the shaft resistance of drilled shaft socketed into rock mass. Since the general Hoek-Brown criterion can consider the in-situ state of the rock mass, the proposed method, estimating the unit shaft resistance of drilled shafts based on the Hoek-Brown criterion, has increased flexibility compared to other methods exclusively considering uniaxial compressive strength of intact rocks. The proposed method can form the upper and lower bounds, and most culled data (from 21 pile load tests) from the literature can be found between these two bounds. A comparison between the estimated and observed unit shaft resistances shows quite a good correlation even with crude assumptions for the input parameters. The best-fit line drawn from this analysis shows that at the lower strength of intact rocks (up to 10MPa), Horvath and Kenney's equation shows a good correlation with the measured values, and fur strong rocks Rosenberg and Journeaux's equation provides a close estimation with colleted data. The results of parametric studies for GSI and confining stress show that the normalized unit shaft resistance increases with these two factors. In addition, coefficient of the equational form of the estimation can vary with GSI and confining stresses.

Side Resistance of Rock Socketed Drilled Shafts in Consideration of the Shaft Size Effects (크기효과를 고려한 암반에 근입된 현장타설말뚝의 주면마찰력)

  • Sagong Myung;Paik Kyu-Ho
    • Journal of the Korean Geotechnical Society
    • /
    • v.20 no.9
    • /
    • pp.115-124
    • /
    • 2004
  • According to Sagong and Paik (2003), the side resistance of rock socketed drilled shafts is affected by rock quality, types, uniaxial compressive strength, and confining stress. Their approach based upon the Hoek-Brown criterion provides reasonable predictions of the side resistance. In this study, we propose an equation to calculate the side resistance considering size effects of the shafts and investigate the influence of drilled shaft diameter on the side resistance. A new method employs the modified Hoek-Brown criterion together with an empirical size effect of rock core. From the previous field tests, 12 pile load test results were collected and compared with prediction calculated from the equation proposed in this study. In a given condition, similar results between measurement and estimate are observed. From the parametric study on the GSI, confining stress, uniaxial compressive of intact rock and pile size, it is shown that uniaxial compressive strength is the most influential parameter on the side resistance. Though pile size shows the least influence on the resistance, the size effect is apparent as rock quality increases.

Design and Fabrication of Microstrip Patch Antenna with T-shaped Slits for GPS (T형 슬릿을 갖는 GPS 수신용 마이크로스트립 패치 안테나 설계 및 제작)

  • Lee Eun-Jin;Lee Kwoun-Ig;Kim Heung-Soo
    • Journal of the Institute of Electronics Engineers of Korea TC
    • /
    • v.43 no.5 s.347
    • /
    • pp.169-175
    • /
    • 2006
  • In this paper, a microstrip patch antenna with the T-shaped slits is designed and fabricated for GPS. The resonant frequency of the microstrip patch antenna with the slits is lower than that of a microstrip patch antenna without the slits so it can be reduced the size of patch. In order to calculate resonant frequency of the microstrip patch antenna with the slits, the resonant frequency formulas are derived from the surface current distribution on microstrip patch antenna. Using the Ensemble 6.0 simulation tool, the accuracy of approximate equations is verified. The microstrip patch antenna with the slits is designed by using these equations. The size of the designed antenna with T-shaped slits can be reduced to 29% compared with that without the slits. The microstrip patch antenna with slits have a very narrow bandwidth. In order to improve the narrow bandwidth of microstrip patch antennas with the slits, a microstrip patch antenna with rectangular slot is proposed. As the result of the measurements, the resonant frequency of the proposed microstrip patch antenna with the T-shaped slits is 1.575GHz and the bandwidth is about 50MHz.

Analytical Study on Ductility Index of Reinforced Concrete Flexural Members (철근 콘크리트 휨부재의 연성지수에 관한 해석적 연구)

  • Lee, Jae Hoon
    • KSCE Journal of Civil and Environmental Engineering Research
    • /
    • v.14 no.3
    • /
    • pp.391-402
    • /
    • 1994
  • One of the most important design concept for reinforced concrete structures is to achieve a ductile failure mode, and also moment redistribution for economic design is possible in case that adequate ductility is provided. Flexural ductility index is, therefore, used as a reference for possibility of moment redistribution as well as for prediction of flexural behavior of designed R.C. structures. Ductility index equations, however, provide approximate values due to the linear concrete compressive stress assumption at the tension steel yielding state. Theoretically more exact ductility index is calculated by a numerical analysis with the realistic stress-strain curves for concrete and steel to be compared with the result from tire ductility index equations. Variation of ductility index for the selected variables and the reasonable maximum tension steel ratio for doubly reinforced section are investigated. A moment-curvature curve model is also proposed for future research on moment redistribution.

  • PDF