• Title/Summary/Keyword: 2D theory

Search Result 1,242, Processing Time 0.031 seconds

The Potential Energy Surface of BH5 and the Rate of the Hydrogen Scrambling

  • Kim, Kyung-Hyun;Kim, Yong-Ho
    • Bulletin of the Korean Chemical Society
    • /
    • v.24 no.6
    • /
    • pp.763-770
    • /
    • 2003
  • The $BH_5$ molecule, which is suggested as an intermediate of the acidolysis of $BH_4^-$, contains a weak two-electron-three-center bond and it requires extremely high-level of theories to calculate the energy and structure correctly. The structures and energies of $BH_5$ and the transition state for the hydrogen scrambling have been studied using recently developed multi-coefficient correlated quantum mechanical methods (MCCMs). The dissociation energies and the barrier heights agree very well with the previous results at the CCSD(T)/ TZ(3d1f1g, 2p1d) level. We have also calculated the potential energy curves for the dissociation of $BH_5$ to $BH_3$ and $H_2$. The lower levels of theory were unable to plot correct potential curves, whereas the MCCM methods give very good potential energy curves and requires much less computing resources than the CCSD(T)/ TZ(3d1f1g,2p1d) level. The potential energy of the $BH_5$ scrambling has been obtained by the multiconfiguration molecular mechanics algorithm (MCMM), and the rates are calculated using the variational transition state theory including multidimensional tunneling approximation. The rate constant at 300 K is 2.1 × $10^9s^{-1}$, and tunneling is very important.

3-D Free Vibration Analysis of Exponential and Power-law Functionally Graded Material(FGM) Plates (지수 및 멱 법칙 점진기능재료 판의 3차원 자유진동해석)

  • Lee, Won-Hong;Han, Sung-Cheon;Ahn, Jin-Hee;Park, Weon-Tae
    • Journal of the Computational Structural Engineering Institute of Korea
    • /
    • v.28 no.5
    • /
    • pp.553-561
    • /
    • 2015
  • The exponential and power law functionally graded material(FGM) theory is reformulated considering the refined shear and normal deformation theory. This theory has ability to capture the both normal deformation effect and exponential and power law function in terms of the volume fraction of the constituents for material properties through the plate thickness. Navier's method has been used to solve the governing equations for all edges simply supported plates on Pasternak elastic foundation. Numerical solutions of vibration analysis of FGM plates are presented using this theory to illustrate the effects of power law index and 3-D theory of exponential and power law function on natural frequency. The relations between 3-D and 2-D higher-order shear deformation theory are discussed by numerical results. Further, effects of (i) power law index, (ii) side-to-thickness ratio, and (iii) elastic foundation parameter on nondimensional natural frequency are studied. To validate the present solutions, the reference solutions are discussed.

A study on the HF monolithic ceramic filter using thickness mode (두께진동모드를 이용한 고주파대역의 단일체 세라믹필터에 대한 연구)

  • Park, Chang-Yub;Wi, Gyu-Jin;Lee, Doo-Hee
    • Proceedings of the KIEE Conference
    • /
    • 1987.11a
    • /
    • pp.242-244
    • /
    • 1987
  • Using the energy trapping theory and the acoustic coupling theory. the Bandpass filter(center frequency = 10.7 MHz) of the fundamental thickness mode was made from the composition of $Pb_{0.96}Sr_{0.04}(Zr_{0.53}Ti_{0.47})O_3$+ 1wt% $Fe_2O_3$. Also, in the double mode monolithic filter, It was observed that as decreasing the size of the electrodes, or shortening the gap between two electrodes, the percent frequency separation was increased. Based on these. a 10.7 MHz uniwafer filter was made having the characteristics that bandwidth was 700 KHz and the percent frequency separation was 6 [dB] and selectivity was 29 [dB], end spurious response was 24 [dB] and insertion loss was 7 [dB].

  • PDF

Draft Prediction of Bulldozer Blade by Model Tests (모델 테스트에 의한 Bulldozer Blade의 견인력(牽引力) 예측(豫測))

  • Lee, K.S.;Roh, S.C.
    • Journal of Biosystems Engineering
    • /
    • v.18 no.3
    • /
    • pp.209-219
    • /
    • 1993
  • A series of soil bin experiment was carried out on sand to investigate if true model theory is applicable to blade-soil system and finally to find mathematical relationship between the dimensionless terms which contain the blade-soil parameters. The following conclusions were derived from the study. 1. It was proved that the draft of the prototype blade can be predicted without distortion by those of model blades with the length scale of 1.2, 2 and 2.4. 2. For the sand, bulk density was found to be a good measure of soil physical properties which are pertinent to predict the draft of the blade-soil system. 3. The mathematical relationship between $D/{\gamma}W$ and d/W, ${\beta}$, and $V^2/Wg$ are as follows ; $$\frac{D}{{\gamma}W^3}=124.98[\frac{d}{W}]^2+7.16[\frac{d}{W}]+0.43 \\ \frac{D}{{\gamma}W^3}=-0.00099{\beta}^2+0.13{\beta}-2.01 \\ \frac{D}{{\gamma}W^3}=0.041[\frac{V^2}{Wg}]^2+0.08[\frac{V^2}{Wg}]+1.3$$

  • PDF

The refined theory of 2D quasicrystal deep beams based on elasticity of quasicrystals

  • Gao, Yang;Yu, Lian-Ying;Yang, Lian-Zhi;Zhang, Liang-Liang
    • Structural Engineering and Mechanics
    • /
    • v.53 no.3
    • /
    • pp.411-427
    • /
    • 2015
  • Based on linear elastic theory of quasicrystals, various equations and solutions for quasicrystal beams are deduced systematically and directly from plane problem of two-dimensional quasicrystals. Without employing ad hoc stress or deformation assumptions, the refined theory of beams is explicitly established from the general solution of quasicrystals and the Lur'e symbolic method. In the case of homogeneous boundary conditions, the exact equations and exact solutions for beams are derived, which consist of the fourth-order part and transcendental part. In the case of non-homogeneous boundary conditions, the exact governing differential equations and solutions under normal loadings only and shear loadings only are derived directly from the refined beam theory, respectively. In two illustrative examples of quasicrystal beams, it is shown that the exact or accurate analytical solutions can be obtained in use of the refined theory.

Bridge Superstructures Design by Special Othotropic Plate Theory (특별직교 이방성 판 이론에 의한 교랑 상부구조 설계)

  • Kim, Dun-Hyun;Han, Bong-Koo;Lim, Tae-Ho;Oh, Sang-Sub
    • Proceedings of the Korean Society For Composite Materials Conference
    • /
    • 2003.10a
    • /
    • pp.171-174
    • /
    • 2003
  • The Special orthotropic plate theory is used for analysis of panels made of steel girders and cross-beams, and made of reinforced concrete. The cross-sections of girders and cross-beams are WF types. The result is compared with that of the beam theory. According to the numerical examination given in this paper, the result by the plate theory is 2.43 times stiffer than that of beam theory, The result for the concrete slab in given for the practicing engineers.

  • PDF

Prediction of drop size by analysis of conical liquid sheet breakup (원추형 액막분열 해석에 의한 액적 크기 예측)

  • Yoon, S.J.;Cho, D.J.
    • Journal of ILASS-Korea
    • /
    • v.2 no.1
    • /
    • pp.8-17
    • /
    • 1997
  • A study has been carried out on the instability of a conical liquid sheet by using the linear instability theory. Various analytical methods using the Kelvin-Helmholtz instability theory were tried to examine the wave growth on cylindrical liquid sheets. Cylinderical liquid sheets were extended to the case with the conical sheets. Perturbations due to tangential motion as well as longitudinal one were taken into account. And it was assumed the the breakup occurs when amplitude ratio exceeds exp(12), drop sizes were predicted only by theoretical approach. The predicted drop size agreed well with the measured Sauter mean diameter, $D_{32}$.

  • PDF

Comparison of Heat Transfer Theory, CFD and Experimental Results in the Design Process of High-Power Fiber Laser Cooling Plate (고출력 광섬유 레이저 냉각판 설계과정에서 나타난 열전달 이론, CFD 및 실험 결과값의 비교)

  • Kim, Taewoo;Lee, Kangin;Jeong, Minwan;Jeong, Yeji;Koh, KwangUoong;Lee, Yongsoo
    • Journal of the Korea Institute of Military Science and Technology
    • /
    • v.24 no.6
    • /
    • pp.629-637
    • /
    • 2021
  • For the stabilization of laser output power and wavelength of the high power fiber laser, the cooling plate must be properly taken into account. In this study, three analyzing methods which are heat transfer theory, CFD and experiment are used to analyze cooling plate performance by measuring pump Laser Diode(LD) temperature. Under limited operating conditions of a cooling plate, the internal flow of cooling plate is transitional flow so that the internal flow is assumed to be laminar and turbulence flow and conducted theoretical calculation. Through CFD, temperature of pump LD and characteristics of the internal flow were analyzed. By the experiment, temperature of pump LD was measured in real conditions and the performance of the cooling plate was verified. The results of this study indicate that three analyzing methods are practically useful to design the cooling plate for the high power fiber laser or similar things.

Outage Probability of Device-to-Device MIMO Relay Systems with Imperfect Channel Estimation

  • Wei, Liang wu;Shao, Shi Xiang
    • IEIE Transactions on Smart Processing and Computing
    • /
    • v.2 no.2
    • /
    • pp.67-76
    • /
    • 2013
  • Under an imperfect channel estimation, a Device-to-Device (D2D) communication framework based on MIMO relay technology is presented. The model consists of a D2D pair equipped with M antennas and a relay equipped with N antennas as well as a cellular user equipped with M antennas. The outage probability under different relaying protocols (i.e. AF and DF protocol) with and without considering a direct link was derived. The actual and theoretical outage probability of the five links under different antenna numbers was emulated. The number of user antennas and channel estimation error was analyzed carefully to determine their impact on the outage probability of a system. The simulation verified the theory analyses and the results showed that MIMO relaying improves the D2D communication system performance.

  • PDF