• Title/Summary/Keyword: Moment equation

Search Result 583, Processing Time 0.035 seconds

Near-Wall Modelling of Turbulent Heat Fluxes by Elliptic Equation (타원방정식에 의한 벽면 부근의 난류열유속 모형화)

  • Shin, Jong-Keun;An, Jeong-Soo;Choi, Young-Don
    • Transactions of the Korean Society of Mechanical Engineers B
    • /
    • v.28 no.5
    • /
    • pp.526-534
    • /
    • 2004
  • A new second-moment closure model for turbulent heat fluxes is proposed on the basis of the elliptic equation. The new model satisfies the near-wall balance between viscous diffusion, viscous dissipation and temperature-pressure gradient correlation, and also has the characteristics of approaching its respective conventional high Reynolds number model far away from the wall. The predictions of turbulent heat transfer in a channel flow have been carried out with constant wall heat flux and constant wall temperature difference boundary conditions respectively. The velocity field variables are supplied from the DNS data and the differential equations only fur the mean temperature and the scalar flux are solved by the present calculations. The present model is tested by direct comparisons with the DNS to validate the performance of the model predictions. The prediction results show that the behavior of the turbulent heat fluxes in the whole region is well captured by the present model.

A new base shear equation for reliability-based design of steel frames

  • Hakki Deniz Gul;Kivanc Taskin
    • Earthquakes and Structures
    • /
    • v.27 no.1
    • /
    • pp.31-39
    • /
    • 2024
  • The reliability-based seismic design of steel frames is a complex process that incorporates seismic demand with a structural capacity to attain safe buildings aligned with specified constraints. This paper introduces an efficient base shear force formulation to support the reliability-based design process of steel frames. The introduced base shear force equation combines the seismic demand statistics with the reliability objective to calculate a fictitious base shear force for linear static analysis. By concentrating on the seismic demand and promising to meet a certain level of reliability, the equation converts the reliability-based seismic design problem to a deterministic one. Two code-compliant real-size steel moment frames are developed according to different reliability objectives to demonstrate the competency of the proposed formula. The nonlinear dynamic analysis method is used to assess the seismic reliability of the constructed frames, and the numerical results validate the credibility of the suggested formulation. The base shear force calculation method regarding seismic reliability is the main finding of this study. The ease of use makes this approach a potent tool for design professionals and stakeholders to make rapid risk-informed decisions regarding steel moment frame design.

Study on Nonlinear Filter Using Unscented Transformation Update (무향변환을 이용한 비선형 필터에 대한 연구)

  • Yoon, Jangho
    • Journal of Aerospace System Engineering
    • /
    • v.10 no.1
    • /
    • pp.15-20
    • /
    • 2016
  • The optimal estimation of a general continuous-discrete system can be achieved through the solution of the Fokker-Planck equation and the Bayesian update. Due the high nonlinearity of the equation of motion of the system and the measurement model, it is necessary to linearize the both equation. To avoid linearization, the filter based on Fokker-Planck equation is designed. with the unscented transformation update mechanism, in which the associated Fokker-Planck equation was solved efficiently and accurately via discrete quadrature and the measurement update was done through the unscented transformation update mechanism. This filter based on the Direct Quadrature Moment of Method(DQMOM) and the unscented transformation update is applied to the bearing only target tracking problem. The proposed filter can still provide more accurate estimation of the state than those of the extended Kalman filter especially when measurements are sparse. Simulation results indicate that the advantages of the proposed filter based on the DQMOM and the unscented transformation update make it a promising alternative to the extended Kalman filter.

Experimental Study on the Influence of Moment Distribution Shape on the Effective Moment of Inertia of Simply Supported (모멘트 분포 형상에 따른 철근콘크리트 단순보의 유효 단면2차모멘트에 대한 실험적 연구)

  • Park, Mi-Young;Lee, Seung-Bae;Kim, Kang-Su;Kim, Sang-Sik
    • Proceedings of the Korea Concrete Institute Conference
    • /
    • 2008.04a
    • /
    • pp.329-332
    • /
    • 2008
  • The member deflection is one of the most important considerations for the serviceability evaluation of reinforced concrete structures, and the concept of the effective moment of inertia has been generally used for the estimation of beam deflections. The KCI design code adopted Branson's equation for the calculation of the effective moment of inertia, which was formulated based on the results of beam tests subjected to uniformly distributed loads. Therefore, it is worthwhile to check the applicability of the code approach on the estimation of the effective moment of inertia for the cases of beams under different loading conditions. In this study, an experimental investigation has been conducted on six beams, where primary variables were concrete compressive strengths and loading distances from supports. The test results were compared with various approaches proposed by Branson and others as well. The test results indicated that the effective moment of inertia was somewhat influenced by the moment distribution shape. Despite the different moment distribution shapes for specimens, however, the effective moment of inertia of all test beams were closely predicted by the existing methods considered in this study.

  • PDF

Moment Gradient Factor for Lateral Torsional Buckling Strength of Monosymmetric Stepped I-beam Subjected to Uniform Moment

  • Gelera, Kathleen Mae;Park, Jong-Sup
    • Journal of the Korean Society of Hazard Mitigation
    • /
    • v.10 no.2
    • /
    • pp.7-13
    • /
    • 2010
  • Stepped I-beams having increased moment of inertia at one end (singly stepped beam) or both ends (doubly stepped beams) can often be seen in construction of bridges due to material economy and easy fabrication of the section. This paper presents the results of the parametric study of lateral torsional buckling of monosymmetric stepped I-beams with constant depth subjected to uniform moment. Design recommendations were made based on the finite element results of the models having different combinations of monosymmetric ratio, stepped length ratio, flange thickness ratio and flange width ratio. The proposed approximation is acceptable based on the parameters given having mostly conservative results. The proposed equation can be further used to extend the study to different loading conditions.

A Study on the Flexibility of Semi-Rigid Steel Frames under Lateral Loadings( I ) (횡하중을 받는 반강접 철골 골조의 유연도에 관한 연구( I ) -접합부 해석모형을 중심으로-)

  • KANG, Cheol Kyu;HAN, Young Cheol;LEE, Gag Jo
    • Journal of Korean Society of Steel Construction
    • /
    • v.8 no.3 s.28
    • /
    • pp.127-137
    • /
    • 1996
  • Connections as basic elements and an integrated part of a steel frame has an effect on the frame's performance. Conventional analysis and design techniques are based on either idealized fixed or pinned conditions. In fact, the use of rigid or pinned connection model in steel frame analysis serves the purpose of simplifying the analysis and design processes, but all connections used in current pratice possess stiffness and transfer moment which fall between the extreme cases of fully rigid and ideally pinned. To predict the behavior of the semi-rigid steel frames, it is necessary to predict the moment-rotation behavior of the beam-to-column connections. In this research, prediction equation for moment-rotation behavior of the beam-to-column connection is suggested and the effect of design parameters has investigated. Prediction model, in a nondimensional form shows the moment-rotation characteristic for connections. It is composed of the curve fitting power function using standardization constant K and 4 parameter $KM_o$, ${\theta}_0$, b, n based on the pretest result about moment-rotation behavior of connection.

  • PDF

Parameter Estimation of Perillyl Alcohol in RP-HPLC by Moment Analysis

  • Row Kyung Ho;Lee Chong Ho;Kang Ji Hoon
    • Biotechnology and Bioprocess Engineering:BBE
    • /
    • v.7 no.1
    • /
    • pp.16-20
    • /
    • 2002
  • Parameter estimations were made for the reversed-phase adsorption of perillyl alcohol (POH), a potent anti-cancer agent, on octadecylsilyl-silica gel (ODS). The average particle diameter of ODS was about $15\;{\mu}m$, and the particles were packed in the column $(3.9\;\times\;300mm)$. The mobile phase used was a mixture of acetonitrile and water, in which the acetonitrile ranged between 50 and $70\;(v/v\;\%)$. The first absolute moment and the second central moment were determined from the chromatographic elution curves by moment analysis. Experiments were carried out using POH solutions within the linear adsorption range. The fluid-to-particle mass transfer coefficient was estimated using the Wilson-Geankoplis equation. The axial dispersion coefficient and the intra particle diffusivity were determined from the slope and intercept of a plot of H vs $1/u_0$, respectively. The contributions of each mass-transfer step were axial dispersion, fluid-to-particle mass transfer, and intraparticle diffusion.

Prediction of the Torsional Strength of Reinforced Concrete Beams Subjected to Pure Torsion (순수비틀림을 받는 철근콘크리트 보의 비틀림 강도 예측)

  • 이정윤;박지선
    • Journal of the Korea Concrete Institute
    • /
    • v.14 no.6
    • /
    • pp.1010-1021
    • /
    • 2002
  • The current ACI design code does not take into account the contribution of concrete for the torsional moment of reinforced concrete(RC) beams subjected to pure torsion. This code is not capable of evaluating the inter-effects between concrete and torsional reinforcement on the torsional resistance of the RC beams. Some test results indicated that the current ACI code was not successful in predicting the observed torsional moment of the RC beams with reasonable accuracy. The research reported in this paper provides an evaluation equation to predict the torsional moment of the RC beams subjected to pure torsion. The proposed equation is derived from the equilibrium as well as compatibility equations of the truss model for the cracked RC beams. Comparisons between the observed and calculated torsional moments of the 66 tested beams, showed reasonable agreement.

A Calculation of 1 Dimensional Blasting Pressure Uslng the Flux-Corrected Transport Algorithm (Flux-Corrected Transport Algorithm을 적용한 1차원 발파압력산정에 관한 연구)

  • 김문겸;오금호;이필규
    • Proceedings of the Computational Structural Engineering Institute Conference
    • /
    • 1995.10a
    • /
    • pp.76-83
    • /
    • 1995
  • Estimation of blasting behavior of explosives is prerequisite in the numerical analysis of blasting works. In this study, blasting pressure is estimated by the finite difference method using the Flux-Corrected Transport Algorithm. To formulate the behavior of blasting gas, the mass conservation equation, the moment conservation equation, the energy conservation equation and the ideal gas state equation are used. The simplified species conservation equation is included to simulate the behavior of reacting explosives. To verify the calculation, the Sod's shock tube problem, the strong shock problem and the reacting problem we used. Numerical results show that the shock wave can be captured by means of the FCT algorithm in the reacting and nonreacting states.

  • PDF

Evaluation of the Moment Bearing Capacity of Offshore Bucket Platforms in Sand (사질토 지반에 설치된 해상 버켓작업대의 모멘트 지지력 산정)

  • Vicent, Ssenyondo;Gu, Kyo-Young;Kim, Sung-Ryul
    • Journal of the Korean Geotechnical Society
    • /
    • v.35 no.12
    • /
    • pp.101-109
    • /
    • 2019
  • The bucket platform is a new structure suitable for construction of offshore bridge foundations and providing the temporary support for equipments and labour. The platform can be subjected to moment loading due to the eccentric loading or the horizontal load by wave and wind. Therefore, a three dimensional finite element analysis was performed to evaluate the moment bearing capacity of the bucket platform, varying soil density, the diameter and embedment depth of the bucket. The numerical modeling was verified and compared with the moment-rotation curve from a field loading test. The uniform sandy ground was assumed and the moment load was applied at the top plate of the platform, increasing bucket rotation. The moment-rotation relations were analyzed to determine the moment capacity, which was influenced by the embedment depth and diameter of the bucket. Finally, a preliminary design equation was suggested to estimate the moment bearing capacity.