• International Journal of Fluid Machinery and Systems
• /
• 제8권3호
• /
• pp.169-182
• /
• 2015

When simulating the dynamic behaviour of a hydro power plant, it is essential to have a good representation of the turbine behaviour. The pressure transients in the system occurs because the flow changes, which the turbine defines. The flow through the turbine is a function of the pressure, the speed of rotation and the wicket gate opening and is, most often described in a performance diagram or Hill diagram. In the Hill diagram, the efficiency is drawn like contour lines, hence the name. A turbines Hill diagram is obtained by performance tests on scaled model in a laboratory. However, system dynamic simulations have to be performed in the early stage of a project, before the turbine manufacturer has been chosen and the Hill diagram is known. Therefore one have to rely on diagrams for a turbine with similar speed number. The Hill diagram is drawn through measured points, so for using the diagram in a simulation program, one have to iterate in the diagram based on curve fitting of the measured points. This paper describes an alternative method. By means of the Euler turbine equation, it is possible to set up two differential equations which represents the turbine performance with good enough accuracy for the dynamic simulations. The only input is the turbine's main geometry, the runner blade in- and outlet angle and the guide vane angle at best efficiency point of operation (BEP). In the paper, simulated turbine characteristics for a high head Francis turbine, and for a reversible pump turbine are compared with laboratory measured characteristics.

• Elastomers and Composites
• /
• 제50권2호
• /
• pp.92-97
• /
• 2015

A study on reaction kinetics for a PTMG/TDI prepolymer with 2,2'-dichloro-4,4'-methylenedianiline (MOCA), of which formulations may be generally used for fabricating high performance polyurethane elastomers, was peformed using non-isothermal differential scanning calorimetry (DSC). A number of thermograms were obtained at several constant heating rates, and analysed using Flynn-Wall-Ozawa (FWO) isoconversional method for activation energy, $E_a$ and extended-Avrami equation for reaction order, n. Urea formation reaction of the present system was observed to occur through the simple exothermic reaction process in the temperature range of $100{\sim}130^{\circ}C$ for the heating rate of $3{\sim}7^{\circ}C/min$. and could be well-fitted with generalized sigmoid function. Though activation energy was nearly constant as $53.0{\pm}0.5kJ/mol$, it tended to increase a little at initial stage, but it decreases at later stage by the transformation into diffusion-controlled reaction due to the increased viscosity. Reaction order was evaluated as about 2.8, which was somewhat higher than the generally well-known $2^{nd}$ order values for the various urea reactions. Both the reaction order and reaction rate explicitly increased with temperature, which was considered as the indication of occurring the side reactions such as allophanate or biuret formation.

• Steel and Composite Structures
• /
• 제51권4호
• /
• pp.363-375
• /
• 2024

Within the optimization field, addressing the intricate posed by fluidic pressure loads on functionally graded structures with frequency-related designs is a kind of complex design challenges. This paper thus introduces an innovative density-based topology optimization strategy for frequency-constraint functionally graded structures incorporating Darcy's law and a drainage term. It ensures consistent treatment of design-dependent fluidic pressure loads to frequency-related structures that dynamically adjust their direction and location throughout the design evolution. The porosity of each finite element, coupled with its drainage term, is intricately linked to its density variable through a Heaviside function, ensuring a seamless transition between solid and void phases. A design-specific pressure field is established by employing Darcy's law, and the associated partial differential equation is solved using finite element analysis. Subsequently, this pressure field is utilized to ascertain consistent nodal loads, enabling an efficient evaluation of load sensitivities through the adjoint-variable method. Moreover, this novel approach incorporates load-dependent structures, frequency constraints, functionally graded material models, and polygonal meshes, expanding its applicability and flexibility to a broader range of engineering scenarios. The proposed methodology's effectiveness and robustness are demonstrated through numerical examples, including fluidic pressure-loaded frequency-constraint structures undergoing small deformations, where compliance is minimized for structures optimized within specified resource constraints.

• 한국수자원학회논문집
• /
• 제38권12호
• /
• pp.1061-1072
• /
• 2005

본 연구에서는 영산호의 상류에 위치한 나주유역의 홍수시 유출량을 실시간으로 예측하기 위하여 Grey홍수 유출모형을 개발하였다. 나주유역의 유출량은 나주수위관측소에서 실시간으로 측정하고 있으며, 이곳은 영산호의 유입홍수량을 예측과 홍수관리를 위한 주관측소이다. 모형의 지배방정식은 Grey시스템 이론에 근거하여 구성되었으며, 모형의 매개변수는 Grey 시스템매개변수의 조합으로 구성하였다. 모형의 차수는 실측자료와 모의결과를 비교하여 다른 차수 보다 양호한 결과를 나타내는 5차로 하였다. 모형의 보정시 예측결과와 실측치간의 RMSE는 $3.1\~290.5m^{3}/sec$를 나타냈으며, $R^{2}$는 $0.909\~0.999$를 나타냈다. 모형의 검정시 예측결과와 실측치간의 RMSE는 $20.6\~147.4m^{3}/sec$를 나타냈으며, $R^{2}는\;0.940\~0.998$를 나타냈다. 매개변수가 추정된 모형을 이용하여 담수호의 유입량을 하천수위 상태에 따라 예측한 결과, 하천수위가 상승할 경우와 하강할 경우의 예측 홍수량은 예측시간이 증가할수록 커지는 경향을 나타냈다. 또한, 하천수위가 첨두에 가까운 시기의 홍수량은 예측시간에 관계없이 실측자료와 비슷한 결과를 나타냈다. 이와 같은 결과는 Grey 홍수유출모형을 홍수시 담수호 유입량을 실시간으로 정확하게 예측하는데 적용할 수 있음을 나타낸다.

• 대한기계학회논문집A
• /
• 제28권10호
• /
• pp.1541-1548
• /
• 2004

A nano-stage simulation tool is developed for an advanced E-beam lithography system. Even if piezo-actuators are believed to be compatible fer the E-beam lithograpy system it is difficult to predict their characteristics due to their nonlinearities such as hysteresis and creep. In this paper, the nonlinear properties are modeled for a piezo-actuator by considering the voltage range and speed variations. The hysteresis is described as the first order differential equation with 24 sets of parameters and the creep is modeled as a time-dependent logarithmic function with 2 sets of a parameter. A two-axis nano stage with piezo-actuators are investigated for realizing nano scale motions. The characteristics of flexure guide mechanisms are analyzed based on the finite element method using the ANSYS software. The simulation tool for the nano stage is constructed by using the RecurDyn software. The dynamic response of the nano stage is obtained in simulations and compared with the experimental data.

• 한국지능시스템학회논문지
• /
• 제12권6호
• /
• pp.524-530
• /
• 2002

본 연구에서는 Sugeno-type 퍼지시스템을 이용하여 계단형 퍼지 이동 슬라이딩 평면을 구성하고 이를 이용한 슬라이딩 모드제어방식을 제안한다 이 퍼지시스템은 위상평면 상에서 상태오차벡터가 이루는 각도와 원점과의 거리를 입력으로 가지며 출력으로 1차 선형방정식을 갖는다. 이 퍼지 슬라이딩 평면을 이용하여 초기 상태를 이 평면상에 위치시키고 이 슬라이딩 평면을 회전시키거나 이동시킴으로써 도달시간을 줄이고 추적시간을 줄인다. 제안된 이동 슬라이딩 평면은 개념적으로 계단형의 이산적인 형태를 가지지만 이 평면이 퍼지시스템으로 구성되기 때문에 연속으로 이동하는 특징을 나타낸다. 제안된 퍼지 슬라이딩 평면에 대한 슬라이딩 모드의 동특성이 안정함을 증명하며 이를 2차 예제시스템을 이용하여 그 타당성을 보인다.

• 콘크리트학회논문집
• /
• 제11권5호
• /
• pp.79-88
• /
• 1999

The purpose of this paper is to develop a mathematical expression for computing crack angles based on reinforcement volumes in the longitudinal and transverse directions, member end-fixity and length-to-width aspect ratio. For this a reinforced concrete beam-column element is assumed to possess a series of potential crack planes represented by a number of differential truss elements. Depending on the boundary condition, a constant angle truss or a variable angle truss is employed to model the cracked structural concrete member. The truss models are then analyzed using the virtual work method of analysis to relate forces and deformations. Rigorous and simplified solution schemes are presented. An equation to estimate the theoretical crack angle is derived by considering the energy minimization on the virtual work done over both the shear and flexural components the energy minimization on the virtual work done over both the shear and flexural components of truss models. The crack angle in this study is defined as the steepest one among fan-shaped angles measured from the longitudinal axis of the member to the diagonal crack. The theoretical crack angle predictions are validated against experimentally observed crack angle reported by previous researchers in the literature. Good agreement between theory and experiment is obtained.

• 한국강구조학회 논문집
• /
• 제18권4호
• /
• pp.427-436
• /
• 2006

고전 좌굴 이론의 경우 좌굴 발생전 아치의 거동을 선형으로 가정하며, 전좌굴 변형을 무시한다. 이러한 가정은 비대칭 좌굴이 발생하는 깊은 아치의 경우 타당한 것으로 알려져 있다. 하지만 아치의 라이즈가 낮아지는경우 전좌굴 발선형성은 무시할 수 없으며, 비대칭 좌굴 강도보다 대칭 좌굴 강도가 낮아져 아치는 대칭좌굴에 의해 강도가 결정될 수 있다. 본 연구는 아치의 비선형 지배 미분 방정식을 이용하여 양단 힌지를 갖는 낮은 포물선 아치의 거동에 관한 연구를 수행하고 이러한 결과를 유한 요소 해석을 이용하여 검증하였다. 마지막으로 양단 힌지를 갖는 낮은 포물선 아치의 대칭 좌굴 강도에 관한 근사식을 제안하였다.

• 대한기계학회논문집
• /
• 제19권2호
• /
• pp.495-508
• /
• 1995

The self-excited vibrations of airfoil is related to the classical flutter problems, and it has been studied as a system with linear stiffness and small damping. However, since the actual aircraft wing and the many mechanical elements of airfoil type have various design variables and parameters, some of these could have strong nonlinearities, and the nonlinearities could be unexpectedly strong as the parameters vary. This abrupt chaotic behavior undergoes ordered routes, and the behaviors after these routes are uncontrollable and unexpectable since it is extremely sensitive to initial conditions. In order to study the chaotic behavior of the system, three parameters are considered, i.e., free-stream velocity, elastic distance and zero-lift angle. If the chaotic parameter region can be identified from the mathematically modeled nonlinear differential equation system, the designs which avoid chaotic regions could be suggested. In this study, by using recently developed dynamically system methods, and chaotic regions on the parameter plane will be found and the safe design variables will be suggested.

• 대한전자공학회논문지SP
• /
• 제41권6호
• /
• pp.25-32
• /
• 2004

본 논문에서는 스테레오 영상으로부터 자연스러우면서도 정확한 변이 정보를 추출하기 위한 변이 추정 알고리듬을 제안한다. 제안된 알고리듬은 영역 분할 기법을 이용한 계층적 변이 추정부와 편미분 방정식(PDE: Partial Differential Equation)을 이용한 에너지 기반 경계 보존 변이 평활화부로 구성되어 있다. 제안된 계층적 변이 추정 기법은 빠르면서도 신뢰도 있는 변이를 제공하며, 이러한 변이장은 정확도와 평활화도를 함께 고려한 에너지 모델의 최소화 기법에 의해 자연스럽고 정밀한 최종 변이장으로 추출된다. 에너지 모델의 최소화 과정은 대응되는 Euler-Lagrange 방정식으로 변형되어 유한차분법(FDM: Finite difference Method)을 이용한 근사화를 통해 구현된다. 실험을 통해 제안된 변이 추정 기법은 다양한 환경의 영상에 대해서도 자연스러우면서도 정확하고, 경계가 잘 보존된 변이를 추정해 낼 수 있음을 검증하였다.