• Title/Summary/Keyword: Coupling equations

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Bearing Strength of Hybrid Coupled Shear Wall Connections

  • Park Wan-Shin;Yun Hyun-Do
    • Journal of the Korea Concrete Institute
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    • v.17 no.6 s.90
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    • pp.1065-1074
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    • 2005
  • Due to lack of information, current design methods to calculate bearing strength of connections are tacit about cases in which hybrid coupled walls have connection details of stud bolts and horizontal ties. In this study, analytical study was carried out to develop model for calculating the connections strength of embedded steel section. The bearing stress at failure in the concrete below the embedded steel coupling beam section is related to the concrete compressive strength and the ratio of the width of the embedded steel coupling beam section to the thickness of the shear walls. Experiments were carried out to determine the factors influencing the bearing strength of the connection between steel coupling beam and reinforced concrete shear wall. The test variables included the reinforcement details that confer a ductile behavior in connection between steel coupling beam and shear wall, i. e., the auxiliary stud bolts attached to the steel beam flanges and the transverse ties at the top and the bottom steel beam flanges. In addition, additional test were conducted to verify the strength equations of the connection between steel coupling beam and reinforced concrete shear wall. The results of the proposed equations in this study are in good agreement with both our test results and other test data from the literature.

Shear Strength Equation for Slender Diagonally Reinforced Coupling Beam (세장한 대각보강 연결보의 전단강도 예측식)

  • Han, Sang Whan;Kang, Jin Wook;Han, Chan Hee
    • Journal of the Earthquake Engineering Society of Korea
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    • v.20 no.6
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    • pp.361-368
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    • 2016
  • Coupling beams serve as primary source of energy dissipation in coupled shear wall systems during large earthquakes. However, the overestimation of the shear strength of diagonally reinforced coupling beams may be adverse effect on the seismic performance of coupled shear wall systems. In order to force coupling beams to properly work during earthquakes, coupling beams should be designed with accurate shear strength equations. The objective of this study is to propose the accurate shear strength equation for slender diagonally reinforced coupling beams. For this purpose, experimental tests were conducted using three diagonally reinforced coupling specimens with different amount of transverse reinforcement under reversed cyclic loads to evaluate the hysteretic behavior of the specimens. The test results show that transverse reinforcement of slender diagonally reinforced coupling beam affects the maximum strength and drift ratio.

Behavioral Characteristics and Energy Dissipation Capacity of Short Coupling Beams with Various Reinforcement Layouts (다양한 배근상세를 갖는 짧은 연결보의 주기거동 특성과 에너지소산능력의 평가)

  • Eom, Tae-Sung;Park, Hong-Gun;Kang, Su-Min
    • Journal of the Korea Concrete Institute
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    • v.20 no.2
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    • pp.203-212
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    • 2008
  • The cyclic behavior and energy dissipation mechanism of short coupling beams with various reinforcement layouts were studied. For numerical analysis of coupling beams, nonlinear truss model was used. The results of numerical analysis showed that the coupling beams with conventional reinforcement layout showed pinched cyclic behavior without significant energy dissipation, whereas the coupling beams with diagonal reinforcement exhibited stable cyclic behavior without pinching. The energy dissipation of the coupling beams was developed mainly by diagonal reinforcing bars developing large plastic strains rather than concrete which is a brittle material Based on this result, simplified equations for evaluating the energy dissipation of coupling beams were developed. For verification, the predicted energy dissipation was compared with the test results. The results showed that the simplified equations can predict the energy dissipation of short coupling beams with shear span-to-depth ratio less than 1.25 with reasonable precision, addressing various design parameters such as reinforcement layout, shear span-to-depth ratio, and the magnitude of inelastic displacement. The proposed energy equations can be easily applied to performance-based seismic evaluation and design of reinforced concrete structures and members.

Visualization of Unsteady DC Electro-osmotic flow by using Methods of Coupling Fortran and CFX Codes (포트란-CFX 연동해석 기법을 이용한 비정상 DC 전기삼투 유동 가시화)

  • Heo, Young-Gun;Jeong, Jong-Hyeon;Suh, Yong-Kweon
    • Journal of the Korean Society of Visualization
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    • v.9 no.4
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    • pp.22-27
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    • 2011
  • In this study, we present methods of coupling a commercial code, ANSYS CFX, and the user Fortran codes for solving an unsteady electro-osmotic flow around a pair of electrodes, receiving DC, attached to the top and the bottom walls of a two-dimensional cavity. We developed a module of Fortran programs for solving the ion-transport equations as well as the Poisson equations for the potential to be used in coupling with the CFX. We present how the developed codes are applied to solving the transient DC electro-osmotic flow problem within a simple cavity. We also address various problems encountered during the development process and explain why such problems are raised.

Modal Analysis of a Rotating Multi-Packet Pre-twisted Blade System (초기 비틀림각을 갖는 회전하는 다중 패킷 블레이드 시스템의 고유 진동 해석)

  • Kim, Min-Kwon;Yoo, Hong-Hee
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2008.04a
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    • pp.393-399
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    • 2008
  • A modeling method for the modal analysis of a pre-twisted multi-packet blade system undergoing rotational motion is presented in this paper. Blades are idealized as pre-twisted cantilever beams that are fixed to a rotating disc. The stiffness coupling effects between blades due to the flexibilities of the disc and the shroud are modeled with discrete springs. The coupling effect between chordwise and flapwise bending deflection is also considered. Hybrid deformation variables are employed to derive the equations of motion. To obtain more general information, the equations of motion are transformed into dimensionless forms in which dimensionless parameters are identified. The effects of the dimensionless parameters and the number of packets as well as blades on the modal characteristics of the rotating multi-packet pre-twisted blade system are investigated with some numerical examples.

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NUMERICAL COUPLING OF TWO SCALAR CONSERVATION LAWS BY A RKDG METHOD

  • OKHOVATI, NASRIN;IZADI, MOHAMMAD
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.23 no.3
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    • pp.211-236
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    • 2019
  • This paper is devoted to the study and investigation of the Runge-Kutta discontinuous Galerkin method for a system of differential equations consisting of two hyperbolic conservation laws. The numerical coupling flux which is used at a given interface (x = 0) is the upwind flux. Moreover, in the linear case, we derive optimal convergence rates in the $L_2$-norm, showing an error estimate of order ${\mathcal{O}}(h^{k+1})$ in domains where the exact solution is smooth; here h is the mesh width and k is the degree of the (orthogonal Legendre) polynomial functions spanning the finite element subspace. The underlying temporal discretization scheme in time is the third-order total variation diminishing Runge-Kutta scheme. We justify the advantages of the Runge-Kutta discontinuous Galerkin method in a series of numerical examples.

Analysis of Moving Body Characteristics by Coupling Finite Element Method and Motion Equation (유한요소법과 운동방정식의 결합에 의한 운동체의 특성 해석)

  • 김영선;이준호;이기식;이복용
    • Journal of the Korean Magnetics Society
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    • v.6 no.5
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    • pp.281-286
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    • 1996
  • For the accurate analysis of motional characteristics of electrical machines, it is needed to solve the motion equations together with the electromagnetic field equations. In this paper the sequential coupling of systems, the spring mass system and the electromagnetic system, is adopted. The induced current and the magnetic fields are calculated by finite element method(FEM) with given speed. And then, with the computed elec-tromagnetic force, the mechanical equations are solved by the Runge-Kutta method. The above two processes are repeated sequentially to obtain the time domain solutions. The resultant values are applied to the energy conservation law to prove the usefulness of the proposed sequential method.

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Torsional flexural steady state response of monosymmetric thin-walled beams under harmonic loads

  • Hjaji, Mohammed A.;Mohareb, Magdi
    • Structural Engineering and Mechanics
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    • v.52 no.4
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    • pp.787-813
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    • 2014
  • Starting with Hamilton's variational principle, the governing field equations for the steady state response of thin-walled beams under harmonic forces are derived. The formulation captures shear deformation effects due to bending and warping, translational and rotary inertia effects and as well as torsional flexural coupling effects due to the cross section mono-symmetry. The equations of motion consist of four coupled differential equations in the unknown displacement field variables. A general closed form solution is then developed for the coupled system of equations. The solution is subsequently used to develop a family of shape functions which exactly satisfy the homogeneous form of the governing field equations. A super-convergent finite element is then formulated based on the exact shape functions. Key features of the element developed include its ability to (a) isolate the steady state response component of the response to make the solution amenable to fatigue design, (b) capture coupling effects arising as a result of section mono-symmetry, (c) eliminate spatial discretization arising in commonly used finite elements, (d) avoiding shear locking phenomena, and (e) eliminate the need for time discretization. The results based on the present solution are found to be in excellent agreement with those based on finite element solutions at a small fraction of the computational and modelling cost involved.

Analysis of Moving Body Characteristics by Coupling finite Element Method and Motion Equation (유한요소법과 운동방정식의 결합에 의한 운동체의 특성 해석)

  • Kim, Young-Sun;Lee, Joon-Ho;Lee, Bok-Yong;Lee, Ki-Sik
    • Proceedings of the KIEE Conference
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    • 1996.07a
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    • pp.142-144
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    • 1996
  • For the accurate analysis of motional characteristics of electrical machines, it is needed to solve the motion equations together with the electromagnetic field equations. In this paper the sequential coupling of systems, the spring mass system and the electromagnetic system, is adopted. The induced current and the magnetic fields are calculated by FEM with given speed. And then, with the computed electromagnetic force, the mechanical equations are solved by the Runge-Kutta method. The above to processes are repeated sequentially to obtain the time domain solutions. The resultant values are applied to the energy conservation law to prove the usefulness of the proposed sequential method.

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Study of Hydrodynamic-Magnetic-Thermal Coupling in a Linear Induction MHD Pump

  • Kadid, Fatima Zohra;Drid, Said;Abdessemed, Rachid
    • Journal of Electrical Engineering and Technology
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    • v.4 no.2
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    • pp.249-254
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    • 2009
  • This article deals with the analysis of a coupling between stationary Maxwell's equations, the transient state Navier-Stokes and thermal equations. The resolution of these equations is obtained by introducing the magnetic vector potential A, the vorticity ${\xi}$, the stream function ${\psi}$ and the temperature T. The flux density, the electromagnetic thrust, the electric power density, the velocity, the pressure and the temperature are graphically visualized. Also, the influence of the frequency is presented.