• Title/Summary/Keyword: Theoretical equation

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Lateral Earth Pressures Acting on Piles in Cohesion less Soil (모래지반(地盤)속의 말뚝에 작용(作用)하는 측방토압(側方土壓))

  • Hong, Won Pyo
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.3 no.3
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    • pp.63-69
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    • 1983
  • A theoretical equation is presented to estimate the lateral earth pressures acting on piles in a row in cohesionless soil. Then, a series of model tests are carried out for various kinds of pile diameters and pile intervals, followed by very good agreements between the experimental and theoretical values of the lateral earth pressures on piles. The experimental results prove the validity of an assumption on the plastic condition of soil around piles set up in the theoretical derivation. And also the significance of the theoretical values by the presented theoretical equation is clarified.

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A study on design and aerodynamic characteristics of a spiral-type wind turbine blade (스파이럴형 풍력터빈 블레이드의 설계 및 공력특성에 관한 연구)

  • Lu, Qian;Li, Qiang;Kim, Yoon-Kee;Kim, Kyung-Chun
    • Journal of the Korean Society of Visualization
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    • v.10 no.1
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    • pp.27-33
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    • 2012
  • This paper describes a new design of small-scale horizontal wind blade, called spiral wind turbine blade. Theoretical and numerical approaches on the prediction of aerodynamic performance of the blade have been conducted. A theoretical equation is successfully derived using the angular momentum equation to predict aerodynamic characteristics according to the design shape parameters of spiral blade. To be compared with the theoretical value, a numerical simulation using ANSYS CFX v12.1 is performed on the same design with the theoretical one. Large scale tip vortex is captured and graphically presented in this paper. The TSR-$C_p$ diagram shows a typical parabolic relation in which the maximum efficiency of the blade approximately 25% exists at TSR=2.5. The numerical simulation agrees well with that of the theoretical result except at the low rotational speed region of 0~20 rad/s.

Wind-induced random vibration of saddle membrane structures: Theoretical and experimental study

  • Rongjie Pan;Changjiang Liu;Dong Li;Yuanjun Sun;Weibin Huang;Ziye Chen
    • Wind and Structures
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    • v.36 no.2
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    • pp.133-147
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    • 2023
  • The random vibration of saddle membrane structures under wind load is studied theoretically and experimentally. First, the nonlinear random vibration differential equations of saddle membrane structures under wind loads are established based on von Karman's large deflection theory, thin shell theory and potential flow theory. The probabilistic density function (PDF) and its corresponding statistical parameters of the displacement response of membrane structure are obtained by using the diffusion process theory and the Fokker Planck Kolmogorov equation method (FPK) to solve the equation. Furthermore, a wind tunnel test is carried out to obtain the displacement time history data of the test model under wind load, and the statistical characteristics of the displacement time history of the prototype model are obtained by similarity theory and probability statistics method. Finally, the rationality of the theoretical model is verified by comparing the experimental model with the theoretical model. The results show that the theoretical model agrees with the experimental model, and the random vibration response can be effectively reduced by increasing the initial pretension force and the rise-span ratio within a certain range. The research methods can provide a theoretical reference for the random vibration of the membrane structure, and also be the foundation of structural reliability of membrane structure based on wind-induced response.

Prediction and Analysis of Fracture Strength for Surface Flawed Laminates (표면 손상을 입은 적층판의 강도 예측 및 분석)

  • 최덕현;황운봉
    • Composites Research
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    • v.16 no.5
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    • pp.15-20
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    • 2003
  • In this paper, the fracture strength of the surface damaged laminates was predicted by applying the fracture strengths of the unflawed and flawed laminates. For prediction, the theoretical equation about the fracture strength of laminates was simplified applying classical laminate theory and was applied to the surface damaged laminates. Lagace's and Tsai's experimental data were used for verifying the theoretical equation. Moreover, to verify the theoretical prediction, an experiment was performed. Surface unflawed laminate and flawed laminates were fabricated and the experiments were made and these results were compared with theoretical predictions. The specimens' fiber direction was same to the tensile direction and the theoretical predictions and the experimental results were showed good agreement. Therefore, by this equation, the fracture strength of structures made of composites will be able to be predicted when the surface of the structures was damaged.

Data Reduction and Analysis Technique for the Resonant Column Testing by Its Theoretical Modeling (공진주 실험의 이론적 모델링에 의한 자료분석 및 해석기법의 제안)

  • 조성호;황선근;강태호;권병성
    • Proceedings of the Korean Geotechical Society Conference
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    • 2003.03a
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    • pp.291-298
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    • 2003
  • The resonant column testing is a laboratory testing method to determine the shear modulus and the material damping factor of soils. The method has been widely used for many applications and its importance has been increased. Since the establishment of the testing method in 1963, the low-technology electronic devices for testing and data acquisition have limited the measurement to the amplitude of the linear spectrum. The limitations of the testing method were also attributed to the assumption of the linear-elastic material in the theory of the resonant column testing and to the use of the wave equation for the dynamic response of the specimen. For the better theoretical formulation of the resonant column testing, this study derived the equation of motion and provided its solution. This study also proposed the improved data reduction and analysis method for the resonant column testing, based on the advanced data acquisition system and the proposed theoretical solution for the resonant column testing system. For the verification of the proposed data reduction and analysis method, the numerical simulation of the resonant column testing was performed by the finite element analysis. Also, a series of resonant column testing were peformed for Joomunjin sand, which verified the feasibility, of the proposed method and showed the limitations of the conventional data reduction and analysis method.

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New Equation on Streamwise Variation of Secondary Flow in Meandering Channels (만곡수로에서 흐름방향에 따른 2차류의 변화량 산정식)

  • Baek, Kyong Oh;Seo, Il Won;Lee, Kyu Whan
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.26 no.4B
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    • pp.371-378
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    • 2006
  • In this study, a theoretical equation was derived based on Odgaard (1986) and Chang (1988) to reveal the streamwise variation of the secondary flow in meandering channels. The new equation describes the transverse component of the secondary flow as a function of streamwise and vertical directions. To validate the proposed equation, hydraulic experiments were conducted in laboratory meandering channels having different sinuosity. Comparison of experimental results with the proposed equation and an existing equation revealed that the equation was in good agreement with the measured data. However, the existing equation overestimated the transverse velocity. Investigation of the variation of the secondary flow with respect to hydraulic parameters based on the new equation showed that the secondary flow tended to increase as the sinuosity, the roughness, and the aspect ratio became larger. Also, streamwise profile of the secondary flow was sensitive to variations of the roughness and the aspect ratio.

Flow and Displacement of Non-Newtonian Fluid(Power-Law Model) by Surface Tension and Gravity Force in Inclined Circular Tube (경사진 원형관에서 표면장력과 중력에 의한 비뉴턴 유체(멱법칙 모델)의 유동 및 변위)

  • Moh, Jeong Hah;Cho, Y.I.
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.38 no.1
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    • pp.9-16
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    • 2014
  • This paper presents the theoretical analysis of a flow driven by surface tension and gravity in an inclined circular tube. A governing equation is developed for describing the displacement of a non-Newtonian fluid(Power-law model) that continuously flows into a circular tube owing to surface tension, which represents a second-order, nonlinear, non-homogeneous, and ordinary differential form. It was found that quantitatively, the theoretical predictions of the governing equation were in excellent agreement with the solutions of the equation for horizontal tubes and the past experimental data. In addition, the predictions compared very well with the results of the force balance equation for steady.

Analytical solution of the Cattaneo - Vernotte equation (non-Fourier heat conduction)

  • Choi, Jae Hyuk;Yoon, Seok-Hun;Park, Seung Gyu;Choi, Soon-Ho
    • Journal of Advanced Marine Engineering and Technology
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    • v.40 no.5
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    • pp.389-396
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    • 2016
  • The theory of Fourier heat conduction predicts accurately the temperature profiles of a system in a non-equilibrium steady state. However, in the case of transient states at the nanoscale, its applicability is significantly limited. The limitation of the classical Fourier's theory was overcome by C. Cattaneo and P. Vernotte who developed the theory of non-Fourier heat conduction in 1958. Although this new theory has been used in various thermal science areas, it requires considerable mathematical skills for calculating analytical solutions. The aim of this study was the identification of a newer and a simpler type of solution for the hyperbolic partial differential equations of the non-Fourier heat conduction. This constitutes the first trial in a series of planned studies. By inspecting each term included in the proposed solution, the theoretical feasibility of the solution was achieved. The new analytical solution for the non-Fourier heat conduction is a simple exponential function that is compared to the existing data for justification. Although the proposed solution partially satisfies the Cattaneo-Vernotte equation, it cannot simulate a thermal wave behavior. However, the results of this study indicate that it is possible to obtain the theoretical solution of the Cattaneo-Vernotte equation by improving the form of the proposed solution.

Limit Velocity for Lateral Stable Bed in Natural Curved Channels (자연하천 만곡부의 횡방향 안정하상을 위한 한계속도)

  • Choe, Jong-In
    • Journal of Korea Water Resources Association
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    • v.35 no.2
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    • pp.195-201
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    • 2002
  • In this study, an equation is proposed to estimate the limit velocity for lateral stable bed in a curved channel stream. The stable bed on lateral direction is satisfied when there is no more deformation occurs on the transverse bed slope and non-scouring condition in a bend. A theoretical equation for limit velocity is derived using a transverse bed slope model. So, the limit velocity has its theoretical background in the equilibrium of two forces, lateral shear force at the bed due to longitudinal flow and the corresponding lateral bed shear force. To verify the equation, data from four natural river channels were used. There is good agreement between the calculated values using this equation and the measured values. The corrections in equation was found to be correlated with the averaged particle Froude number.

A study on the performance of the perforated tube exhaust muffler (다공형 배기 소음기의 성능에 관한 연구)

  • 권영필;이동훈;방정환
    • Journal of the korean Society of Automotive Engineers
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    • v.14 no.6
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    • pp.48-59
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    • 1992
  • This study is on the performance of the perforated tube muffler when it operates as an exhaust silencer with through-flow, steady or pulsating. Theoretical estimation of the insertion loss was made by means of transfer matrix and by using the impedance equation for the perforated tube obtained for the case of low-speed steady through-flow. Experiment was performed for the measurement of the insertion loss at two flow conditions. The one is a steady flow from the exhaust pipe of an idling diesel engine. The effect of the through-flow velocity and steadiness on the muffler performance was obtained. By comparing the theoretical prediction with the experimental result, the validity of the impedance equation in the theoretical model was discussed. It has been found that steadiness as well as magnitude of the through-flow has a significant effect on the performance of the perforated tube muffler. Especially, the self-noise due to the pulsating flow in the engine exhaust system must be taken into account for the prediction of the muffler performance.

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