• Title/Summary/Keyword: Governing equation

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Design of Hybrid Mount Using Rubber Element and Piezoelctric Actuator with Application to Vibration Control (고무와 압전작동기를 이용한 하이브리드 마운트의 설계 및 진동제어 응용)

  • Yook, Ji-Yong;Sung, Kum-Gil;Moon, Seok-Jun;Choi, Seung-Bok
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.17 no.5 s.122
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    • pp.391-397
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    • 2007
  • This paper presents active vibration control using a hybrid mount which consists of rubber element and the piezostack actuator. After identifying stiffness and damping properties of the rubber element and piezoelectric elements, a mechanical model of the hybrid mount is established. The mount model is then incorporated with the vibration system, and the governing equation of motion is obtained in a state space. A sliding mode controller and LQG controller are designed in order to actively attenuate the vibration of the system subjected to various frequencies and small magnitude excitations. Control responses such as acceleration and force transmission through the hybrid mount are evaluated by computer simulation.

Control Performance of Hybrid Mount Using Electromagnetic Actuator and PZT Actuator (전자기 작동기와 압전 작동기를 이용한 하이브리드 마운트의 제어성능 평가)

  • Paeng, Yong-Seok;Yook, Ji-Yong;Moon, Seok-Jun;Choi, Seung-Bok
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.17 no.7 s.124
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    • pp.617-623
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    • 2007
  • This paper presents an active vibration control of a dynamic system using hybrid mount which consists of elastic rubber-piezostack actuator and elastic rubber-electromagnetic actuator, respectively. After identifying stiffness, damping properties of the elastic rubber, PZT actuator and electromagnetic element, a mathematical model of the hybrid mount is established. The mount model is then incorporated into the dynamic system and the governing equation of motion is obtained in a state space. A sliding mode controller is designed in order to actively attenuate the vibration of the system. Control responses such as acceleration and transmitted force of the dynamic system are experimentally evaluated and presented in time and frequency domains.

Control Performance of Hybrid Mount Using Electromagnetic Actuator and PZT Actuator (전자기 작동기와 압전 작동기를 이용한 하이브리드 마운트의 제어성능 평가)

  • Paeng, Yong-Seok;Yook, Ji-Yong;Moon, Seok-Jun;Choi, Seung-Bok
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2007.05a
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    • pp.1131-1136
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    • 2007
  • This paper presents an active vibration control of a 1-DOF system using hybrid mount which consists of elastic rubber and PZT(piezostack) actuator and elastic rubber and electromagnetic actuator, respectively After identifying stiffness, damping properties of the elastic rubber, PZT actuator and electromagnetic element, a mathematical model of the hybrid mount is established. The mount model is then incorporated into the 1-DOF system and the governing equation of motion is obtained in a state space. A sliding mode controller is designed in order to actively attenuate the vibration of the system. Control responses such as acceleration and transmitted force of the 1-DOF system are experimentally evaluated and presented in time and frequency domains.

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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.