• Title/Summary/Keyword: Analytical calculations

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Effects of Vertical Eddy Viscosity on the Velocity Profile - Cases of Given Vertical Eddy viscosity - (鉛直 過粘性係數가 流速의 鉛直構造에 미치는 影響 - 鉛直 過粘性係數가 주어진 境遇 -)

  • 이종찬;최병호
    • 한국해양학회지
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    • v.29 no.2
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    • pp.119-131
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    • 1994
  • Vertical structures of wind-driven and tidal currents in a rectangular shaped uniform-depth basin of homogeneous water have been investigated using a mode-splitted, multi-level grid-box, hydrodynamic numerical model. The model was verified using analytical solutions for various vertical eddy viscosity profiles such as: a constant eddy viscosity, a linearly decreasing or increasing variation with depth, a quadratic variation with depth and an exponential variation with depth. Particular attention has been paid on the effects of "near-surface wall layer" on vertical shear of velocity. In numerical calculations, the whole water depth was divided into 13 levels with an unequal grid spacing. the model satisfactorily reproduces the velocity profile, but in case the eddy viscosity decreases rapidly with depth as in quadratical or exponential variation with depth, the vertical gradient of velocity near the bottom became very steep, and analytical solutions and numerical results showed some discrepancy. The vertical structures of horizontal velocity vary with both the depth-averaged value of eddy viscosity and its profiles. the velocity near the sea surface and near the bottom responded sensitively to the eddy viscosity of wall layer. For wind-driven current, the strong velocity shear was generated near the sea surface as eddy viscosity near the surface became small. For tidal current, the velocity above the sea bottom layer was almost constant regardless of the profiles of vertical eddy viscosity, but velocity in the sea bottom layer showed strong shear as eddy viscosity became small.

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Dose rate conversion factor for soil by the beta-rays and gamma-rays from 238,235U, 232Th and 40K (238,235U, 232Th과 40K의 베타선 및 감마선에 의한 토양의 흡수선량 환산 인자)

  • Kim, Gi-Dong;Eum, Chul-Hun;Bang, Jun-Hwan
    • Analytical Science and Technology
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    • v.20 no.6
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    • pp.460-467
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    • 2007
  • Dose rate conversion factor was calculated to estimate the absorbed effective annual doses for soils for the beta-rays and gamma-rays, which were emitted from $^{238,235}U$, $^{232}Th$, and $^{40}K$ isotopes. The most recent data of the emitted energies per decay, half-lifes, and branching ratios, which were obtained from National Nuclear Data Center, were used. When this factor and the effective annual doses for the beta-rays and the gamma-rays of natural radioisotopes were compared with those of Aitken, these of $^{238}U$, $^{232}Th$ and $^{40}K$ are estimated to have good agreements but a large difference is shown in this for $^{235}U$. Through the calculations of effective annual doses by using these factor and the measurements of gamma-ray spectra for soils, which were extracted from prehistoric remains (Mansuri) on Osong, Chungchengbuk-do, The annual effective doses were obtained to be 3.8~5.9 mGy/yr. Also, when these doses including decay elements upper Rn were compared with those on all isotopes, the differences within 9~30 % were obtained. The analysis method of the annual effective doses for the beta-rays and the gamma-rays of the natural isotopes of soils was established by this dose rate conversion factor.

Probabilistic seismic assessment of RC box-girder bridges retrofitted with FRP and steel jacketing

  • Naseri, Ali;Roshan, Alireza Mirzagoltabar;Pahlavan, Hossein;Amiri, Gholamreza Ghodrati
    • Coupled systems mechanics
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    • v.9 no.4
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    • pp.359-379
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    • 2020
  • Due to susceptibility of bridges in the past earthquakes, vulnerability assessment and strengthening of bridges has gained a particular significance. The objective of the present study is to employ an analytical method for the development of fragility curves, as well as to investigate the effect of strengthening on the RC box-girder bridges. Since fragility curves are used for pre-and post-earthquake planning, this paper has attempted to adopt the most reliable modeling assumptions in order to increase the reliability. Furthermore, to acknowledge the interaction of soil, abutment and pile, the effect of different strengthening methods, such as using steel jacketing and FRP layers, the effect of increase in the bridge pier diameter, and the effect of vertical component of earthquake on the vulnerability of bridges in this study, a three-span RC box-girder bridge was modeled in 9 different cases. Nonlinear dynamic analyses were carried out on the studied bridges subjected to 100 ground motion records via OpenSEES platform. Therefore, the fragility curves were plotted and compared in the four damage states. The results revealed that once the interaction of soil and abutment and the vertical component of the earthquake are accounted for in the calculations, the median fragility is reduced, implying that the bridge becomes more vulnerable. It was also confirmed that steel jackets and FRP layers are suitable methods for pier strengthening which reduces the vulnerability of the bridge.

Analytical and Experimental Study on the Damping of Vibrating Layered Plates Including the Effects of Shear and Thickness Deformation of the Adhesive Layer (접착제층의 전단과 법선변형 효과를 고려한 적층판의 진동감쇠특성 연구)

  • 김재호;박태학
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.16 no.7
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    • pp.1244-1254
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    • 1992
  • This paper investigates the vibrational damping characteristics of laminated plates composed of elastic, viscoelastic and elastic layers by theoretical and experimental methods. Laminated plates are in cylindrical bending and visco-elastic adhesive layer is assumed as the visco-elastic spring which takes damping effect through both shear and normal deformations. Governing equations oof laminated plates are derived in the form of simultaneous first order differential equations, which account for the longitudinal displacements, rotary inertia and shear deformations of elastic base plate and elastic constraining plate. The numerical calculations of the equations are illustrated by the applications to the cantilever beam in transverse vibration. The results of the solutions agree well with the experimental measurements in general. The damping effects due to the shear and thickness deformations in the adhesives are analyzed and it is shown that for thicker adhesives, the damping effect due to thickness deformation becomes significant and for thinner adhesives, due to shear deformation.

Design of Electromagnetically Driven Micro Scanning Mirror for Laser Animation System (레이저 디스플레이를 위한 전자력 구동 스캐닝 미러의 설계)

  • Lee, Kyoung-Gun;Jang, Yun-Ho;Yoo, Byung-Wook;Jin, Joo-Young;Lim, Yong-Geun;Kim, Yong-Kweon
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.58 no.3
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    • pp.578-585
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    • 2009
  • In this paper, we present the design of an electromagnetic scanning mirror with torsional springs. The scanning mirror consisting of torsional springs and electromagnetic coils was designed for the applications of laser animation systems. We analyzed and optimized three types of torsional springs, namely, straight beam springs (SBS), classic serpentine springs (CSS), and rotated serpentine springs (RSS). The torsional springs were analyzed in terms of electrical resistance, fabrication error tolerance, and resonance mode separation of each type using analytical formula or numerical analysis. The RSS has advantages over the others as follows: 1) A low resistance of conductors, 2) wide resonance mode separation, 3) strong fabrication error tolerance, 4) a small footprint. The double-layer coils were chosen instead of single-layer coils with respect to electromagnetic forces. It resulted in lower power consumption. The geometry of the scanning mirror was optimized by calculations; RSS turn was 12 and the width of double-layer coil was $100{\mu}m$, respectively. When the static rotational angle is 5 degrees, the power consumption of the mirror plate was calculated to be 9.35 mW since the resistance of the coil part and a current is $122{\Omega}$ and 8.75 mA, respectively. The power consumption of full device including the mirror plate and torsional springs was calculated to be 9.63 mW.

I-V and C-V measurements or fabricated P+/N junction mode in Antimony doped (111) Silicon

  • Jung, Won-Chae
    • Transactions on Electrical and Electronic Materials
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    • v.3 no.2
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    • pp.10-15
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    • 2002
  • In this paper, the electrical characteristics of fabricated p+-n junction diode are demonstrated and interpreted with different theoretical calculations. Dopants distribution by boron ion implantation on silicon wafer were simulated with TRIM-code and ICECaEM simulator. In order to make electrical activation of implanted carriers, thermal annealing treatments are carried out by RTP method for 1min. at $1000^{circ}C$ under inert $N_2$ gas condition. In this case, profiles of dopants distribution before and after heat treatments in the substrate are observed from computer simulations. In the I-V characteristics of fabricated diodes, an analytical description method of a new triangular junction model is demonstrated and the results with calculated triangular junction are compared with measured data and theoretical calculated results of abrupt junction. Forward voltage drop with new triangular junction model is lower than the case of abrupt junction model. In the C-V characteristics of diode, the calculated data are compared with the measured data. Another I-V characteristics of diodes are measured after proton implantation in electrical isolation method instead of conventional etching method. From the measured data, the turn-on characteristics after proton implantation is more improved than before proton implantation. Also the C-V characteristics of diode are compared with the measured data before proton implantation. From the results of measured data, reasonable deviations are showed. But the C-V characteristics of diode after proton implantation are deviated greatly from the calculated data because of leakage currents in defect regions and layer shift of depletion by proton implantation.

Novel Mutual Inductance Formula for the Magnetic Resonance Wireless Power Transmission System Using Helical Coils (헬리컬 코일을 이용하는 자기 공진형 무선 전력 전송 시스템에서 새로운 상호 인덕턴스의 계산식 제안)

  • Jang, Ju-Yeop;Hur, Jung;Kim, Yong-Nam
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.23 no.6
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    • pp.669-681
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    • 2012
  • In this paper, analytical calculations using a novel mutual inductance formula for a resonant wireless power transmission system using helical coils. The look-up table of critical variables during the mutual inductance calculation process was formulated. The calculation results for resonant frequency and insertion loss were compared with experimental results when the distance between the two helical coils in a structure where the transmission and reception is symmetrical was varied with 10 mm increments from 53 mm to 500 mm. On average, the resonant frequency showed a difference of 5.63 % between the experimental results and the calculation results. The insertion loss had an average difference 2.25 dB where the smallest difference of 0.33 dB occurred with 290 mm. It was found that the experimental results without using a balun were in greater agreement with the calculation results.

Investigation of dynamic response of "bridge girder-telpher-load" crane system due to telpher motion

  • Maximov, Jordan T.;Dunchev, Vladimir P.
    • Coupled systems mechanics
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    • v.7 no.4
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    • pp.485-507
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    • 2018
  • The moving load causes the occurrence of vibrations in civil engineering structures such as bridges, railway lines, bridge cranes and others. A novel engineering method for separation of the variables in the differential equation of the elastic line of Bernoulli-Euler beam has been developed. The method can be utilized in engineering structures, leading to "a beam under moving load model" with generalized boundary conditions. This method has been implemented for analytical study of the dynamic response of the metal structure of a single girder bridge crane due to the telpher movement along the bridge girder. The modeled system includes: a crane bridge girder; a telpher, moving with a constant horizontal velocity; a load, elastically fixed to the telpher. The forced vibrations with their own frequencies and with a forced frequency, due to the telpher movement, have been analyzed. The loading resulting from the telpher uniform movement along the bridge girder is cyclical, which is a prerequisite for nucleation and propagation of fatigue cracks. The concept of "dynamic coefficient" has been introduced, which is defined as a ratio of the dynamic deflection of the bridge girder due to forced vibrations, to the static one. This ratio has been compared with the known from the literature empirical dynamic coefficient, which is due to the telpher track unevenness. The introduced dynamic coefficient shows larger values and has to be taken into account for engineering calculations of the bridge crane metal structure. In order to verify the degree of approximation, the obtained results have been compared with FEM outcomes. An additional comparison has been made with the exact solution, proposed by Timoshenko, for the case of simply supported beam subjected to a moving force. The comparisons show a good agreement.

Determination of Reactivities by MO Theory (ⅩⅡ). Nucleophilic Substitution Reactions of N-Acetylpiperidone (MO 理論에 依한 反應性의 決定 (第12報). N-아세틸피페리돈의 親核性 置換反應)

  • Lee Ik Choon;Kim Shi Choon;Lee Suk Kee;Park Dong Whan;Jeon Young Gu
    • Journal of the Korean Chemical Society
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    • v.22 no.6
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    • pp.396-402
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    • 1978
  • MO theoretical studies on the conformation and the acid-catalyzed nucleophilic substitution of N-acetylpyperidone were carried out by EHT, CNDO/2 and the orbital mixing analytical methods. MO calculations show that the most preferred conformation is the half-chair, cis-trans form and the protonation occurs most readily on the acetyl carbonyl oxygen. These results were interpreted in terms of conjugative, electrostatic and steric effect. From orbital mixing analysis, we found also that the reactivity of protonated carbonyl carbon is greatly enhanced due to increase in positive charge (for charge controlled reaction) of the carbonyl carbon atom. Accordingly, the acetyl cleavage will be preferred in the nucleophilic substitution (acid-catalyzed hydrolysis) to the ring cleavage.

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Vibration Analysis of Mindlin-Plate Structures having Attachments by the Receptance Method (Receptance 방법에 의한 부가물을 갖는 Mindlin판유추 구조제의 진동해석)

  • S.Y. Han;J.H. Chung
    • Journal of the Society of Naval Architects of Korea
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    • v.32 no.3
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    • pp.98-106
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    • 1995
  • In ship and offshore structures, there exist many local structural systems which may be regarded as a combined structural systems composed of thick plates or double wall panels and attachments reducible to damped spring-mass systems. For vibration analysis of such a combined system an analytical method based on the receptance method is presented in this paper. The free vibrational characteristics and forced vibration responses of the combined system can be calculated by synthesis of receptances of the panel and attachments. To calculate receptances of the panel, it may be regarded as a Mindlin plate for consideration of effects of shear deformation and rotary inertia and the assumed mode-Lagrange's equation method is applied using Timoshenko beam function or polynomials having properties of Timoshenko beam function as trial functions. Through some numerical calculations, accuracy and efficiency of the presented method are shown.

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