• Title/Summary/Keyword: Euler Characteristic

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A Characteristic Analysis on the Elastic Stiffness of the Tapered-width Leaf Type Holddown Spring Assembly Designed in KOFA's Design Space

  • Song, Kee-Nam;Seo, Keum-Seok
    • Nuclear Engineering and Technology
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    • v.28 no.6
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    • pp.583-593
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    • 1996
  • An elastic stiffness formula of a leaf type holddown spring(HDS) assembly with a uniformly tapered width from $w_0$ to $w_14$ over the length, has been analytically derived based on Euler beam theory and Castigliano's theorem. Elastic stiffnesses of the tapered-width leaf type HDSs(TW-HDSs) designed in the same dimensional design spaces as the KOFA HDSs have been evaluated from the derived formula, in addition, a parametric study on the elastic stiffness of the TW-HDSs has been carried out. Analysis results show that, as the effects of axial and shear force on the elastic stiffness of He TW-HDSs have been 0.15~0.21% of the elastic stiffness, most of the elastic stiffness is attributed to the bending moment, and that elastic stiffnesses of the TW-HDSs have been about 32~33% higher than those of the KOFA HDSs. It is found that the number of leaves composing a HDS assembly could be lessened by one under the conditions that the TW-HDSs have been adopted in KOFA.

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Non-Linear Behavior of Shear Deformable Variable-Arc-Length Beams (전단변형을 고려한 변화곡선길이보의 비선형 거동)

  • 이병구;이태은;김종웅;김영일
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2001.04a
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    • pp.146-153
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    • 2001
  • In this paper, the governing differential equations for the non-linear behavior of shear deformable variable-arc-length beams subjected to an end moment are derived. The beam model is based on the Bernoulli-Euler beam theory. The Runge-Kutta and Regula-Falsi methods, respectively, are used to integrate the governing differential equations and to compute the beam's rotation at the left end of the beams. Numerical results are compared with existing closed-form and numerical solutions by other methods for cases in which they are available. The characteristic values of deflection curves for various load parameters are calculated and discussed.

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Hot Gas Analysis of Circuit Breakers By Combining Partial Characteristic Method with Net Emission Coefficient

  • Park, Sang-Hun;Bae, Chae-Yoon;Jung, Hyun-Kyo
    • KIEE International Transaction on Electrical Machinery and Energy Conversion Systems
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    • v.3B no.3
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    • pp.115-121
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    • 2003
  • This paper proposes a radiation model, which considers radiation transport as an important component in hot gas analysis. This radiation model is derived from combining the method of partial characteristics (MPC) with net emission coefficient (NEC), and it covers the drawbacks of existing models. Subsequently, using this proposed model, the arc-flow interaction in an arcing chamber can be efficiently computed. The arc is represented as an energy source term composed of ohmic heating and the radiation transport in the energy conservation equation. Ohmic heating term was computed by the electric field analysis within the conducting plasma region. Radiation transport was calculated by the proposed radiation model. Also, in this paper, radiation models were introduced and applied to the gas circuit breaker (GCB) model. Through simulation results, the efficiency of the proposed model was confirmed.

Nondimensional Analysis of Periodically Unstable Shock-Induced Combustion (주기적 불안정성을 가지는 충격파 유도 연소의 무차원 해석)

  • Choi, Jeong-Yeol;Jeung, In-Seuck;Yoon, Young-Bin
    • Journal of the Korean Society of Combustion
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    • v.1 no.2
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    • pp.41-49
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    • 1996
  • A numerical study is conducted to investigate the periodically unstable shock induced combustion around blunt bodies in stoichiometric hydrogen-air mixtures. Euler equations are spatially discretized by upwind-biased third order scheme and temporally integrated by Runge-Kutta method. Chemistry model used in this study involves 8 elementary kinetics steps and 7 species. At a constant Mach number, the effects of projectile size, inflow pressure and inflow temperature are examined with Lehr#s experimental condition as a reference. In addition to oscillation frequency, characteristic distances and time averaged values are found from the result to find an relation with dimensionless parameters. As a result, it is found that the effects of inflow pressure and body size are very similar and $Damk{\ddot{o}}hler$ number plays an important role in determining the instability characteristics.

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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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    • v.1 no.1
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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.

Dynamic effect of high-speed trains on simple bridge structures

  • Adam, Christoph;Salcher, Patrick
    • Structural Engineering and Mechanics
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    • v.51 no.4
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    • pp.581-599
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    • 2014
  • In this paper the overall dynamic response of simple railway bridges subjected to high-speed trains is investigated numerically based on the mechanical models of simply supported single-span and continuous two-span Bernoulli-Euler beams. Each axle of the train, which is composed of rail cars and passenger cars, is considered as moving concentrated load. Distance, magnitude, and maximum speed of the moving loads are adjusted to real high-speed trains and to load models according to Eurocode 1. Non-dimensional characteristic parameters of the train-bridge interaction system are identified. These parameters permit a spectral representation of the dynamic peak response. Response spectra assist the practicing engineers in evaluating the expected dynamic peak response in the design process of railway bridges without performing time-consuming time history analyses.

Similarity evaluation of the pump simulation loop in STELLA-2 for conservation of mechanical sodium pump characteristics

  • Jung Yoon ;Jewhan Lee ;Jaehyuk Eoh;Hyungmo Kim ;Dong Eok Kim
    • Nuclear Engineering and Technology
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    • v.55 no.1
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    • pp.353-363
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    • 2023
  • The STELLA-2 is a large-scale sodium thermal-hydraulic integral effect test facility and supports the development of PGSFR. The facility adopted Pump Simulation Loop System (PSLS) concept for the mechanical sodium pump in the reference reactor to control and to measure the primary sodium flow. Since the component (mechanical pump) is replaced by the loop, it is very important to evaluate the similarity between the pump and the loop. In this paper, to simulate the characteristic of the mechanical sodium pump, the pressure loss along the various options of the loop was evaluated and the comprehensive validity of each design options was analyzed. Using the similarity criteria based on the Richardson number and Euler number conservation, the PSLS design was finalized and the result was within the acceptable error range. Finally, the result of this study was used for construction of the overall facility, STELLA-2.

An Efficient Hardware Implementation of Square Root Computation over GF(p) (GF(p) 상의 제곱근 연산의 효율적인 하드웨어 구현)

  • Choe, Jun-Yeong;Shin, Kyung-Wook
    • Journal of IKEEE
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    • v.23 no.4
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    • pp.1321-1327
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    • 2019
  • This paper describes an efficient hardware implementation of modular square root (MSQR) computation over GF(p), which is the operation needed to map plaintext messages to points on elliptic curves for elliptic curve (EC)-ElGamal public-key encryption. Our method supports five sizes of elliptic curves over GF(p) defined by the National Institute of Standards and Technology (NIST) standard. For the Koblitz curves and the pseudorandom curves with 192-bit, 256-bit, 384-bit and 521-bit, the Euler's Criterion based on the characteristic of the modulo values was applied. For the elliptic curves with 224-bit, the Tonelli-Shanks algorithm was simplified and applied to compute MSQR. The proposed method was implemented using the finite field arithmetic circuit with 32-bit datapath and memory block of elliptic curve cryptography (ECC) processor, and its hardware operation was verified by implementing it on the Virtex-5 field programmable gate array (FPGA) device. When the implemented circuit operates with a 50 MHz clock, the computation of MSQR takes about 18 ms for 224-bit pseudorandom curves and about 4 ms for 256-bit Koblitz curves.

Prediction of the Total Effective Moment (ME) Using Stroke Range in Lightweight Piezoelectric Composite Actuator(LIPCA) (경량압전 복합재료 작동기의 작동범위를 이용한 총유효 모멘트 (ME)의 예측)

  • Yoon Kwang-Joon;Kim Cheol-Woong
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.30 no.2 s.245
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    • pp.120-127
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    • 2006
  • The fatigue behavior of LIPCA was so sensitive to the manufacturing condition, the environmental factors and the change of the test apparatus. Therefore, we could be considering not only the relationship between the stroke range $({\Delta}h)$ and actuating frequency but also the relationship between the stroke range $({\Delta}h)$ and the total effective moment $(M^E)$. Thus, this study proposed the calculation method of the applying $M^E$ when the $({\Delta}h)$ of LIPCA was increased from 1.mm to 20mm. To estimate the relationship between the total effective moment $(M^E)$ and the Bernoulli-Euler bending moment (M) was reviewed. And the residual stress distribution of LIPCA and THUNDER using the CLT was evaluated. In conclusions, converting the $({\Delta}h)$ of LIPCA to the radius of curvature (p) and calculating the $(M^E)$, it was found that the p by the $M^E$ changed similarly as the $({\Delta}h)$. It was found that the $M^E$ was 2.2 times as the M. While CFRP and PZT of LIPCA, which had the superior compressive characteristic, had the compressive residual stress, GFRP was subject to the tensile residual stress. Since this reversed configuration between the compressive residuals stress and the tensile one was made, the requirement of the stroke range $({\Delta}h)$ increase was satisfied.

Displacement of Geumwang Fault around the Pungam Basin Observed by Gravity and Aeromagnetic Field Interpretation (중력장 및 자기장 해석에 따른 풍암분지 일원 금왕단층의 지구조적인 변위)

  • Sungchan Choi;Sung-Wook Kim;Eun-Kyeong Choi;Younghong Shin
    • Economic and Environmental Geology
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    • v.57 no.4
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    • pp.363-370
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    • 2024
  • To analyze the tectonic movements of the Geumwang Fault and its association with development of the Pungam Basin, the distributions of the gravity field and aeromagnetic field were interpreted. The low gravity zone (LGZ) around the Geumwang Fault shows an asymmetrical distribution, indicating sinistral (left-lateral) movement with the left side of the fault moving southeastward. The observed gravity anomaly suggests a displacement of approximately 9.3 km. The aeromagnetic distribution supports this horizontal displacement with very distinct magnetic characteristics. Using Euler deconvolution, the average depth of the Geumwang Fault was calculated to be about 1,000 meters, and it is estimated that the southwest side of the Pungam Basin is approximately 700 meters deeper than the northeast side. This strongly suggests that the Geumwang Fault has moved not only in a strike-slip but also in a dip direction. Such fault movement is characteristic of a hinge fault and has contributed to the formation of the basin through fault margin sag.