• Title/Summary/Keyword: Governing equation

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Performance Evaluation of a Full Vehicle with Semi-active MR Suspension at Different Tire Pressure (타이어 압력 변화에 따른 MR 현가장치를 장착한 전체차량의 제어성능평가)

  • Kim, Hyung-Seob;Seong, Min-Sang;Choi, Seung-Bok;Kwon, Oh-Young
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.21 no.11
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    • pp.1067-1073
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    • 2011
  • This paper presents the performance of a full vehicle MR suspension system at different tire pressure. The pressure of tire is related to tire stiffness, which is significantly affects the performance of suspension system. Therefore, in this research, the effectiveness of tire pressure on full vehicle MR suspension is evaluated. As a first step, the characteristic of tire with respect to pressure is experimentally tested and modeled. After that, the governing equation of MR damper and full vehicle MR suspension system are derived. The skyhook controller is implemented and the vibration control performance of full vehicle MR suspension is evaluated via simulation with respect to the tire pressure.

Process Analysis for Rheo-Forming of Aluminum Materials (알루미늄재료의 Rheo-forming을 위한 성형공정해석)

  • Seo P. K.;Jung K. Y.;Jung Y. S.;Kang C. G.
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2001.05a
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    • pp.124-128
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    • 2001
  • Two-dimensional solidification analysis during rheology forming process of semi-solid aluminum ahoy has been studied Two-phase fluid flow model to investigate the velocity field and temperature distribution is proposed. The unposed mathematical model is applied to the die shape of the two type. To calculate the velocities and temperature fields during rheology forming process, the each governing equation correspondent to the liquid and solid region are adapted. Theoretical model on the basis of the two-phase flow model is the mixture rule of solid and liquid phases. This approach is based on the liquid and solid viscosity.

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A Study on the new design method of a stochastic controller (확률영역 제어기의 새로운 설계법에 대한 연구)

  • Cho, Yun-Hyun;Kim, Dae-Jung;Yang, Jae-Hyuk;Heo, Hoon
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 1998.04a
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    • pp.450-453
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    • 1998
  • Investigation is performed on the characteristics and new control technique for general form of dynamic system under the randomly disturbance. Also, a controller design method in stochastic domain in studied, which is preliminary result in the course of research on the control of stochastic system. The governing equation is derived via F-P-K approach in stochastic sense. A controller is designed in term of auto power density and cross power density.

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Numerical Analysis of the Viscous Flow Around a Front End Cooling Fan of the Car (자동차 프런트 엔드 쿨링팬 주위의 점성유동 해석)

  • Oh, Keon-Je;Bae, Chun-Keun
    • Journal of the Korean Society of Industry Convergence
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    • v.10 no.4
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    • pp.221-226
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    • 2007
  • Viscous flow around a front end cooling fan of the car is numerically investigated. The Navier-Stokes equations and the continuity equation are solved in the flow domain. The Reynolds stresses are modelled using the $k-{\varepsilon}$ turbulence model. The governing equations are discretized with the Finite Volume Method. The pressure and the velocity are linked with the SIMPLE algorithm. Flow and pressure characteristics around the fan are investigated. The pressure sharply increases through the fan blade. Pressure variations on the pressure and suction sides of the fan are well represened in the calculations. The flow streamlines in the blade passage are nearly parallel to the blade, but the slope of streamlines increases near the tip.

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Free vibration analysis of asymmetric shear wall-frame buildings using modified finite element-transfer matrix method

  • Bozdogan, Kanat B.
    • Structural Engineering and Mechanics
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    • v.46 no.1
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    • pp.1-17
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    • 2013
  • In this study, the modified finite element- transfer matrix methods are proposed for free vibration analysis of asymmetric structures, the bearing system of which consists of shear wall-frames. In the study, a multi-storey structure is divided into as many elements as the number of storeys and storey masses are influenced as separated at alignments of storeys. The shear walls and frames are assumed to be flexural and shear cantilever beam structures. The storey stiffness matrix is obtained by formulating the governing equation at the center of mass for the shear walls and the frames in the i.th floor. The system transfer matrix is constructed in the dimension of $6{\times}6$ by transforming the obtained stiffness matrix. Thus, the dimension, which is $12n{\times}12n$ in classical finite elements, is reduced to the dimension of $6{\times}6$. To study the suitability of the method, the results are assessed by solving two examples taken from the literature.

Buckling of fully and partially embedded non-prismatic columns using differential quadrature and differential transformation methods

  • Rajasekaran, S.
    • Structural Engineering and Mechanics
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    • v.28 no.2
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    • pp.221-238
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    • 2008
  • Numerical solution to buckling analysis of beams and columns are obtained by the method of differential quadrature (DQ) and harmonic differential quadrature (HDQ) for various support conditions considering the variation of flexural rigidity. The solution technique is applied to find the buckling load of fully or partially embedded columns such as piles. A simple semi- inverse method of DQ or HDQ is proposed for determining the flexural rigidities at various sections of non-prismatic column ( pile) partially and fully embedded given the buckling load, buckled shape and sub-grade reaction of the soil. The obtained results are compared with the existing solutions available from other numerical methods and analytical results. In addition, this paper also uses a recently developed technique, known as the differential transformation (DT) to determine the critical buckling load of fully or partially supported heavy prismatic piles as well as fully supported non-prismatic piles. In solving the problem, governing differential equation is converted to algebraic equations using differential transformation methods (DT) which must be solved together with applied boundary conditions. The symbolic programming package, Mathematica is ideally suitable to solve such recursive equations by considering fairly large number of terms.

An original single variable shear deformation theory for buckling analysis of thick isotropic plates

  • Klouche, Faiza;Darcherif, Lamia;Sekkal, Mohamed;Tounsi, Abdelouahed;Mahmoud, S.R.
    • Structural Engineering and Mechanics
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    • v.63 no.4
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    • pp.439-446
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    • 2017
  • This work proposes an original single variable shear deformation theory to study the buckling analysis of thick isotropic plates subjected to uniaxial and biaxial in-plane loads. This theory is built upon the classical plate theory (CPT) including the exponential function in terms of thickness coordinate to represent shear deformation effect and it involves only one governing differential equation. Efficacy of the present theory is confirmed through illustrative numerical examples. The obtained results are compared with those of other higher-order shear deformation plate theory results.

Effects of Surface Geometry on Polyelectrolyte Adsorption

  • Park, Young-G.;Kim, Key-Seek;Sung, Ki-Chun
    • Journal of the Korean Applied Science and Technology
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    • v.17 no.2
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    • pp.149-156
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    • 2000
  • For the adsorption of polyelectrolyte at the surface of polyacrylamide gel particle, preferential adsorption of the large polyelectrolyte such as DNA is governed by the surface area of an adsorbent. The adsorption equilibrium constant can be varied by surface geometry of porous polymer, and it can be described as a function of ionic strength and surface area. Physical parameters affecting the adsorption were estimated using the theoretical governing equation of polyelectrolyte which electrophoretically moved along the column, and geometrical surface area was estimated by Waldman-Mayer's physical model. The separation of polyelectrolytes was studied using the physical parameters estimated by ionic strength and surface geometry.

Thermoelastic solutions for annular disks with arbitrary variable thickness

  • Zenkour, Ashraf M.
    • Structural Engineering and Mechanics
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    • v.24 no.5
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    • pp.515-528
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    • 2006
  • This article presents a unified analytical solution for the analysis of thermal deformations and stresses in elastic annular disks with arbitrary cross-sections of continuously variable thickness. The annular disk is assumed to be under steady heat flow conditions, in which the inner surface of the annular disk is at an initial temperature and the outer surface at zero temperature. The governing second-order differential equation is derived from the basic equations of the thermal annular disks and solved with the aid of some hypergeometric functions. Numerical results for thermal stresses and displacement are given for various annular disks. These disks include annular disks of thickness profiles in the form of general parabolic and exponential functions. Additional annular disks with nonlinearly variable thickness and uniform thickness are also included.

A new reinforcing steel model with bond-slip

  • Kwak, H.G.;Filippou, F.C.
    • Structural Engineering and Mechanics
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    • v.3 no.4
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    • pp.299-312
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    • 1995
  • A new reinforcing steel model which is embedded inside a concrete element and also accounts for the effect of bond-slip is developed. Unlike the classical bond-link or bond-zone element using double nodes, the proposed model is considering the bond-slip effect without taking double nodes by incorporation of the equivalent steel stiffness. After calculation of nodal displacements, the deformation of steel at each node can be found through the back-substitution technique from the first to the final steel element using a governing equation constructed based on the equilibrium at each node of steel and the compatibility condition between steel and concrete. This model results in significant savings in the number of nodes needed to account for the effect of bond-slip, in particular, when the model is used for three dimensional finite element problems. Moreover a new nonlinear solution scheme is developed in connection with this model. Finally, correlation studies between analytical and experimental results and several parameter studies are conducted with the objective to establish the validity of the proposed model.