• 제목/요약/키워드: Static Equilibrium Analysis

검색결과 178건 처리시간 0.025초

직립전열관에서의 유체진동에 관한 연구 (A study of flow oscillations in a upright heated pipe)

  • 박진길;진강규;오세준
    • Journal of Advanced Marine Engineering and Technology
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    • 제8권1호
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    • pp.85-99
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    • 1984
  • The stability of the two-phase flow in a heated channel is of great importance in the design and operation of the boilers and light water nuclear reactors, because it can cause flow oscillations and lead to a violation of thermal limits with resultant overheating of the channels and cladding. This paper presents a systematic evaluation to the variation effects of the basic four (4) dimensionless parameters in a homogeneous equilibrium model. The flow stability is examined on the ground of static characteristic curves. The complicated transfer function of flow dynamics which gives consideration to the transport lag of density wave is derived, and the transient flow stability is analysed by applying the Nyquist stability criterion in control engineering. The analysis results summed up as follows 1. The coolant flow becomes stable in large friction number and specific flow, while it is unstabale in small friction number and flow. 2. Large phase-change number and Froude number destabilize the two-phase flow, but small numbers stabilize it. The effect to variation of phase-change number is more dominant compared with Froude number. 3. The dynamic analysis is required to hold the sufficient safety of heated channels since only static results does not keep it. The special attention could be payed in the design and operation of heat engines, because the unstaable region exists within the stable boundary at small and middle phase-change number and Froude number.

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A new hyperbolic shear deformation plate theory for static analysis of FGM plate based on neutral surface position

  • Merazi, M.;Hadji, L.;Daouadji, T.H.;Tounsi, Abdelouahed;Adda Bedia, E.A.
    • Geomechanics and Engineering
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    • 제8권3호
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    • pp.305-321
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    • 2015
  • In this paper, a new hyperbolic shear deformation plate theory based on neutral surface position is developed for the static analysis of functionally graded plates (FGPs). The theory accounts for hyperbolic distribution of the transverse shear strains and satisfies the zero traction boundary conditions on the surfaces of the beam without using shear correction factors. The neutral surface position for a functionally graded plate which its material properties vary in the thickness direction is determined. The mechanical properties of the plate are assumed to vary continuously in the thickness direction by a simple power-law distribution in terms of the volume fractions of the constituents. Based on the present new hyperbolic shear deformation plate theory and the neutral surface concept, the governing equations of equilibrium are derived from the principle of virtual displacements. Numerical illustrations concern flexural behavior of FG plates with Metal-Ceramic composition. Parametric studies are performed for varying ceramic volume fraction, volume fraction profiles, aspect ratios and length to thickness ratios. The accuracy of the present solutions is verified by comparing the obtained results with the existing solutions.

Static and seismic active lateral earth pressure coefficients for c-ϕ soils

  • Keshavarz, Amin;Pooresmaeil, Zahra
    • Geomechanics and Engineering
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    • 제10권5호
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    • pp.657-676
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    • 2016
  • In this paper, the active lateral earth pressure is evaluated using the stress characteristics or slip line method. The lateral earth pressure is expressed as the lateral earth pressure coefficients due to the surcharge, the unit weight and cohesion of the backfill soil. Seismic horizontal and vertical pseudo-static coefficients are used to consider the seismic effects. The equilibrium equations along the characteristics lines are solved by the finite difference method. The slope of the ground surface, the wall angle and the adhesion and friction angle of the soil-wall interface are also considered in the analysis. A computer code is provided for the analysis. The code is capable of solving the characteristics network, determining active lateral earth pressure distribution and calculating active lateral earth pressure coefficients. Closed-form solutions are provided for the lateral earth pressure coefficients due to the surcharge and cohesion. The results of this study have a good agreement with other reported results. The effects of the geometry of the retaining wall, the soil and soil-wall interface parameters are evaluated. Non-dimensional graphs are presented for the active lateral earth pressure coefficients.

A novel higher order shear deformation theory based on the neutral surface concept of FGM plate under transverse load

  • Daouadji, Tahar Hassaine;Benferhat, Rabia;Adim, Belkacem
    • Advances in materials Research
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    • 제5권2호
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    • pp.107-120
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    • 2016
  • The static analysis of the simply supported functionally graded plate under transverse load by using a new sinusoidal shear deformation theory based on the neutral surface concept is investigated analytically in the present paper. No transversal shear correction factors are needed because a correct representation of the transversal shearing strain is given. The mechanical properties of the FGM plate are assumed to vary continuously through the thickness according to a power law formulation except Poisson's ratio, which is kept constant. The equilibrium and stability equations are derived by employing the principle of virtual work. Results are provided for thick to thin plates and for different values of the gradient index k, which subjected to sinusoidal or uniformly distributed lateral loads. The accuracy of the present results is verified by comparing it with finite element solution. From the obtained results, it can be concluded that the proposed theory is accurate and efficient in predicting the displacements and stresses of functionally graded plates.

Thermomechanical behavior of Macro and Nano FGM sandwich plates

  • Soumia, Benguediab;Tayeb, Kebir;Fatima Zohra, Kettaf;Ahmed Amine, Daikh;Abdelouahed, Tounsi;Mohamed, Benguediab;Mohamed A., Eltaher
    • Advances in aircraft and spacecraft science
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    • 제10권1호
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    • pp.83-106
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    • 2023
  • In this work, the static behavior of FGM macro and nano-plates under thermomechanical loading. Equilibrium equations are determined by using virtual work principle and local and non-local theory. The novelty of the current model is using a new displacement field with four variables and a warping function considering the effect of shear. Through this analysis, the considered sandwich FGM macro and nanoplates are a homogeneous core and P-FGM faces, homogeneous faces and an E-FGM core and finally P-FGM faces and an E-FGM core. The analytical solution is obtained by using Navier method. The model is verified with previous published works by other models and very close results are obtained within maximum 1% deviation. The numerical results are performed to present the influence of the various parameters such as, geometric ratios, material index as well as the scale parameters are investigated. The present model can be applicable for sandwich FG plates used in nuclear, aero-space, marine, civil and mechanical applications.

박벽보-기둥 요소의 개선된 정적 요소강성행렬 (Improved Static Element Stiffness Matrix of Thin-Walled Beam-Column Elements)

  • 윤희택;김남일;김문영;길흥배
    • 한국강구조학회 논문집
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    • 제14권4호
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    • pp.509-518
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    • 2002
  • 비대칭 단면을 갖는 박벽보의 3차원 휨-배틂 좌굴해석 및 정적해석을 위하여, 평형방정식과 힘-변위 관계식을 이용하여 엄밀한 정적요소강성행렬을 수치적으로 산정하는 개선된 기법을 제시한다. 먼저 14개의 변위피라미터를 도입하여 고차의 연립미분방정식을 1차 연립미분방정식으로 변환하고, 복소수 영역에서 선형고유치문제를 해를 구한다. 이 경우 동적강성행렬을 산정하는 경우와는 달리 복수개의 '영'의 고유치가 발생한다. 이에 대응하는 변위피라미터의 다항식을 항등식 조거능로부터 구하고, 이를 고유치와 결합하여 박벽보 요소의 엄밀한 처짐함수를 구한다. 이렇게 구한 엄밀한 처짐함수에 재단력-변위 관계식을 적용하여 세가지 초기단면력 조건에 대응하는 엄밀한 정적요소강성행렬을 산정한다. 본 방법의 타당성을 보이기 위하여 비대칭 박벽보의 좌굴하중과 처짐값을 계산하고 해석해나 ABAQUS 쉘요소를 이용한 해석결과 및 직선보요소를 사용한 유한요소해의 결과와 비교, 검증한다.

Measuring the Impact of Competition on Pricing Behaviors in a Two-Sided Market

  • Kim, Minkyung;Song, Inseong
    • Asia Marketing Journal
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    • 제16권1호
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    • pp.35-69
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    • 2014
  • The impact of competition on pricing has been studied in the context of counterfactual merger analyses where expected optimal prices in a hypothetical monopoly are compared with observed prices in an oligopolistic market. Such analyses would typically assume static decision making by consumers and firms and thus have been applied mostly to data obtained from consumer packed goods such as cereal and soft drinks. However such static modeling approach is not suitable when decision makers are forward looking. When it comes to the markets for durable products with indirect network effects, consumer purchase decisions and firm pricing decisions are inherently dynamic as they take into account future states when making purchase and pricing decisions. Researchers need to take into account the dynamic aspects of decision making both in the consumer side and in the supplier side for such markets. Firms in a two-sided market typically subsidize one side of the market to exploit the indirect network effect. Such pricing behaviors would be more prevalent in competitive markets where firms would try to win over the battle for standard. While such qualitative expectation on the relationship between pricing behaviors and competitive structures could be easily formed, little empirical studies have measured the extent to which the distinct pricing structure in two-sided markets depends on the competitive structure of the market. This paper develops an empirical model to measure the impact of competition on optimal pricing of durable products under indirect network effects. In order to measure the impact of exogenously determined competition among firms on pricing, we compare the equilibrium prices in the observed oligopoly market to those in a hypothetical monopoly market. In computing the equilibrium prices, we account for the forward looking behaviors of consumers and supplier. We first estimate a demand function that accounts for consumers' forward-looking behaviors and indirect network effects. And then, for the supply side, the pricing equation is obtained as an outcome of the Markov Perfect Nash Equilibrium in pricing. In doing so, we utilize numerical dynamic programming techniques. We apply our model to a data set obtained from the U.S. video game console market. The video game console market is considered a prototypical case of two-sided markets in which the platform typically subsidizes one side of market to expand the installed base anticipating larger revenues in the other side of market resulting from the expanded installed base. The data consist of monthly observations of price, hardware unit sales and the number of compatible software titles for Sony PlayStation and Nintendo 64 from September 1996 to August 2002. Sony PlayStation was released to the market a year before Nintendo 64 was launched. We compute the expected equilibrium price path for Nintendo 64 and Playstation for both oligopoly and for monopoly. Our analysis reveals that the price level differs significantly between two competition structures. The merged monopoly is expected to set prices higher by 14.8% for Sony PlayStation and 21.8% for Nintendo 64 on average than the independent firms in an oligopoly would do. And such removal of competition would result in a reduction in consumer value by 43.1%. Higher prices are expected for the hypothetical monopoly because the merged firm does not need to engage in the battle for industry standard. This result is attributed to the distinct property of a two-sided market that competing firms tend to set low prices particularly at the initial period to attract consumers at the introductory stage and to reinforce their own networks and eventually finally to dominate the market.

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A simple mathematical model for static analysis of tall buildings with two outrigger-belt truss systems

  • Rahgozar, Reza;Ahmadi, Ali Reza;Hosseini, Omid;Malekinejad, Mohsen
    • Structural Engineering and Mechanics
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    • 제40권1호
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    • pp.65-84
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    • 2011
  • In this paper a simple mathematical model for approximate static analysis of combined system of framed tube, shear core and two outrigger-belt truss structures subjected to lateral loads is presented. In the proposed methodology, framed tube is modeled as a cantilevered beam with a box section and interaction between shear core and outrigger-belt truss system with framed tube is modeled using torsional springs placed at location of outrigger-belt truss; these torsional springs act in a direction opposite to rotation generated by lateral loads. The effect of shear lag on axial deformation in flange is quadratic and in web it is a cubic function of geometry. Here the total energy of the combined system is minimized with respect to lateral deflection and rotation in plane section. Solution of the resulting equilibrium equations yields the unknown coefficients of shear lag along with the stress and displacement distributions. The results of a numerical example, 50 storey building subjected to three different types of lateral loading obtained from SAP2000 are compared to those of the proposed method and the differences are found to be reasonable. The proposed method can be used during the preliminary design stages of a tall building and can provide a better understanding of the effects of various parameters on the overall structural behavior.

A Free Trade Area of the Asia Pacific (FTAAP): Is It Desirable?

  • Kim, Sangkyom;Park, Innwon;Park, Soonchan
    • East Asian Economic Review
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    • 제17권1호
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    • pp.3-25
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    • 2013
  • This paper evaluates whether the proposed FTAAP is a desirable policy option for APEC member economies and the world economy. More specifically, this paper qualitatively investigates whether the FTAAP satisfies conditions for a trade bloc to generate positive and sufficient net trade creation effect. In addition, this paper estimates the likely impact of the FTAAP by using a CGE model analysis. From the qualitative analysis based on statistical data, this paper strongly argues that the FTAAP can be a desirable regional trade bloc able to generate positive gains from freer trade. From the ex-ante scenario analysis using both static and capital accumulation CGE Models, this paper concludes that the FTAAP has great potential for improving welfare of participating APEC economies and will boost economic growth in the region. In particular, the FTAAP would be even better if it can be linked with liberalization of trade in services and enhanced trade facilitation.

탄성지반위의 보의 엄밀한 강성계산을 위한 개선된 해석방법 (Improved Numerical Method Evaluating Exact Static Element Stiffness Matrices of Beam on Elastic Foundations)

  • 김남일;이준석;김문영
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2006년도 정기 학술대회 논문집
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    • pp.589-596
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    • 2006
  • An improved numerical method to obtain the exact element stiffness matrix is newly proposed to perform the spatially coupled elastic and stability analyses of non-symmetric thin-walled beam-columns with two-types of elastic foundation. This method overcomes drawbacks of the previous method to evaluate the exact stiffness matrix for the spatially coupled stability analysis of thin-walled beam-column. This numerical technique is firstly accomplished via a generalized eigenproblem associated with 14 displacement parameters by transforming equilibrium equations to a set of first order simultaneous ordinary differential equations. Then exact displacement functions are constructed by combining eigensolutions and polynomial solutions corresponding to non-zero and zero eigenvalues, respectively. Consequently an exact stiffness matrix is evaluated by applying the member force-deformation relationships to these displacement functions.

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