• 제목/요약/키워드: Euler Characteristic

검색결과 74건 처리시간 0.028초

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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    • 제28권6호
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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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전단변형을 고려한 변화곡선길이보의 비선형 거동 (Non-Linear Behavior of Shear Deformable Variable-Arc-Length Beams)

  • 이병구;이태은;김종웅;김영일
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2001년도 봄 학술발표회 논문집
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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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    • 제3B권3호
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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.

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

  • 최정열;정인석;윤영빈
    • 한국연소학회지
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    • 제1권2호
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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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    • 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.

Dynamic effect of high-speed trains on simple bridge structures

  • Adam, Christoph;Salcher, Patrick
    • Structural Engineering and Mechanics
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    • 제51권4호
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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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    • 제55권1호
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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.

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

  • 최준영;신경욱
    • 전기전자학회논문지
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    • 제23권4호
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    • pp.1321-1327
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    • 2019
  • 본 논문에서는 GF(p) 상에서 모듈러 제곱근 (MSQR) 연산의 효율적인 하드웨어 구현에 대해 기술한다. MSQR 연산은 타원곡선 기반의 EC-ElGamal 공개키 암호를 위해 평문 메시지를 타원곡선 상의 점으로 매핑하기 위해 필요하다. 본 논문의 방법은 NIST 표준으로 규정된 5가지 크기의 GF(p) 타원곡선을 지원하며, 192-비트, 256-비트, 384-비트 그리고 521-비트 크기의 Kobliz 곡선과 슈도 랜덤 곡선들은 모듈러 값의 특성을 기반으로 오일러 판정법을 적용하고, 224-비트 크기의 경우에는 Tonelli-Shanks 알고리듬을 간략화시켜 적용하였다. 제안된 방법을 ECC 프로세서의 32-비트 데이터 패스를 갖는 유한체 연산회로와 메모리 블록을 이용하여 구현하였으며, FPGA 디바이스에 구현하여 하드웨어 동작을 검증하였다. 구현된 회로가 50 MHz 클록으로 동작하는 경우에, 224-비트 슈도 랜덤 곡선의 경우에는 MSQR 계산에 약 18 ms가 소요되고, 256-비트 Kobliz 곡선의 경우에는 약 4 ms가 소요된다.

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

  • 윤광준;김철웅
    • 대한기계학회논문집A
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    • 제30권2호
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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.

중간구속조건을 갖는 양단탄성구속 Timoshenko 보-기동의 진동 및 동특성감도 해석 (Vibration and Dynamic Sensitivity Analysis of a Timoshenko Beam-Column with Ends Elastically Restrained and Intermediate Constraints)

  • 정정훈;주원호;김극천
    • 대한조선학회논문집
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    • 제30권1호
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    • pp.125-133
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    • 1993
  • 중간구속조건을 갖는 보 및 보-기둥의 진동에 관한 기존연구들의 대부분은 Euler 보이론틀에서 다루었다. 세장비가 작은 경우 또는 세장비가 큰 경우일지라도 고차진동에 대해서는 Timoshenko 이론들에 의한 해석이 요구되나, Timoshenko 보 및 보-기둥에 관한 연구사례는 적은 편이다. 본 연구에서는 Timoshenko 보-기둥에 대해서 양단경계조건을 병진스프링 회전스프링 구속으로, 중간구속조건을 임의 갯수의 집중질량 병진스프링 회전스프링으로 일반화하여 정식화한 다음 엄밀해법을 제시하고, 아울러 엄밀해법의 연산부담이 매우 큰 점을 고려하여 적정한 Rayleigh-Ritz 해석에 대해서도 검토하였다. Rayleigh-Ritz 해석에 있어서는 우선 기준계의 고유함수를 이용하는 방법이 고려될 수 있으나 이 경우에도 Euler 보이론과는 달라서 연산부담이 역시 큰 편이다. 따라서 기준계의 고유함수와 같은 성질을 갖는 다항식을 도출하고 이를 이용하는 Rayleigh-Ritz 해석의 유용성에 관해 검토했다. 한편, 본 연구의 대상계와 같은 복합계에 대해서는 최적설계관점에서 설계변수변경에 따른 재해석문제 또한 중요한 과제임을 고려하여, 특성다항식 이용 Rayleigh-Ritz 방법에 기초하여 계산되는 동특성 1차 감도의 유용성도 검토되었다. 수치 계산예를 통해 전기 특성 다항식을 이용한 Rayleigh-Ritz 해석이 정확도면에서 엄밀해와 부합성이 양호하고, 계산 효율은 매우 높음이 확인되었다.

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