• Title/Summary/Keyword: coupled beam system

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Nonlinear Responses of a Hinged-Clamped Beam under Random Excitation (불규칙 가진되는 회전-고정보의 비선형응답특성)

  • 조덕상;김영종
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.13 no.4
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    • pp.427-436
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    • 2000
  • This study presents the nonlinear responses of a hinged-clamped beam under broadband random excitation. By using Galerkin's method the governing equation is reduced to a system or nonautonomous nonlinear ordinary differential equations. The Fokker-Planck equation is used to generate a general first-order differential equation in the joint moments of response coordinates. Gaussian and non-Gaussian closure schemes are used to close the infinite coupled moment equations. The closed equations are then solved for response statistics in terms of system and excitation parameters. The case of two mode interaction is considered in order to compare it with the case of three mode interaction. Monte Carlo simulation is used for numerical verification.

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Vibration analysis of a uniform beam traversed by a moving vehicle with random mass and random velocity

  • Chang, T.P.;Liu, M.F.;O, H.W.
    • Structural Engineering and Mechanics
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    • v.31 no.6
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    • pp.737-749
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    • 2009
  • The problem of estimating the dynamic response of a distributed parameter system excited by a moving vehicle with random initial velocity and random vehicle body mass is investigated. By adopting the Galerkin's method and modal analysis, a set of approximate governing equations of motion possessing time-dependent uncertain coefficients and forcing function is obtained, and then the dynamic response of the coupled system can be calculated in deterministic sense. The statistical characteristics of the responses of the system are computed by using improved perturbation approach with respect to mean value. This method is simple and useful to gather the stochastic structural response due to the vehicle-passenger-bridge interaction. Furthermore, some of the statistical numerical results calculated from the perturbation technique are checked by Monte Carlo simulation.

Static Characteristics of Electro-Hydraulic Spring Return Actuator (전기유압식 스프링복귀 액추에이터 정특성)

  • Jung, G.H.
    • Journal of Drive and Control
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    • v.9 no.2
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    • pp.8-14
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    • 2012
  • Electro-hydraulic spring return actuator(ESRA) is utilized for air conditioning facilities in a nuclear power plant. It features self-contained, hydraulic power that is integrally coupled to a single acting hydraulic cylinder and provides efficient and precise linear control of valves as well as return of the actuator to the de-energized position upon loss of power. In this paper, the algebraic equations of ESRA at steady-state have been developed for the analysis of static characteristics that includes control pressure and valve displacement of pressure reducing valve, flow force on flapper as well as its displacement over the entire operating range. Also, the effect of external load on piston deviation is investigated in terms of linear system analysis. The results of static characteristics show the unique feature of force balance mechanism and can be applied to the stable self-controlled mechanical system design of ESAR.

A Study on the Stabilization Control of Nonlinear Systems using RVEGA SMC (RVEGA SMC를 이용한 비선형 시스템의 안정화 제어)

  • Kim, Tae-Woo;Jo, Hyun-Woo;Song, Ho-Shin;Lee, Oh-Keol;Lee, Joon-Tark
    • Proceedings of the KIEE Conference
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    • 2000.07d
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    • pp.2624-2626
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    • 2000
  • The stabilization controls of coupled tank system and ball-beam system are difficult control tasks because of their high order time delay, nonlinearity and structural unstability. Fuhermore, a series of classical methods such as a conventional PID and a full state feedback controller(FSFC) based on the local linearizations have narrow stabilizable regions. Therefore, in this paper, in order to stabilize two representative nonlinear system mentioned above, a Sliding Mode Controller based on a Real Variable Elitist Genetic Algorithm(RVEGA SMC) was proposed.

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Vibration Characteristics in the Blade-disk System (연성된 블레이드 디스크 시스템의 진동 특성에 관한 연구)

  • Lee, Sun-Sook;Na, Sung-Soo;Cha, Seog-Ju
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2005.11a
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    • pp.184-187
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    • 2005
  • The blade is an important part of rotating turbomachinery. The blade dynamic strength is of considerable importance as far as the reliability of operation and the life of the engine ate concerned. In this paper, blades are attached to a disk and coupled by means of damping wire. We assumes that the interfaces between the blade and disk dovetails are joined together, which means surface-to-surface contacts without friction. The damping wire is implemented using a beam element and temperature effect in the blade is neglected. Centrifugal forces ale applied by using an angular velocity to all elements in the system. The FEM results showed vibration characteristics in the blade disk system for the cases of a free-standing blade and blades with damping wire, respectively.

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Impact of spar-nacelle-blade coupling on the edgewise response of floating offshore wind turbines

  • Dinh, Van-Nguyen;Basu, Biswajit;Nielsen, Soren R.K.
    • Coupled systems mechanics
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    • v.2 no.3
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    • pp.231-253
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    • 2013
  • The impact of spar-nacelle-blade coupling on edgewise dynamic responses of spar-type floating wind turbines (S-FOWT) is investigated in this paper. Currently, this coupling is not considered explicitly by researchers. First of all, a coupled model of edgewise vibration of the S-FOWT considering the aerodynamic properties of the blade, variable mass and stiffness per unit length, gravity, the interactions among the blades, nacelle, spar and mooring system, the hydrodynamic effects, the restoring moment and the buoyancy force is proposed. The aerodynamic loads are combined of a steady wind (including the wind shear) and turbulence. Each blade is modeled as a cantilever beam vibrating in its fundamental mode. The mooring cables are modeled using an extended quasi-static method. The hydrodynamic effects calculated by using Morison's equation and strip theory consist of added mass, fluid inertia and viscous drag forces. The random sea state is simulated by superimposing a number of linear regular waves. The model shows that the vibration of the blades, nacelle, tower, and spar are coupled in all degrees of freedom and in all inertial, dissipative and elastic components. An uncoupled model of the S-FOWT is then formulated in which the blades and the nacelle are not coupled with the spar vibration. A 5MW S-FOWT is analyzed by using the two proposed models. In the no-wave sea, the coupling is found to contribute to spar responses only. When the wave loading is considered, the coupling is significant for the responses of both the nacelle and the spar.

Prediction of vibration and noise from steel/composite bridges based on receptance and statistical energy analysis

  • Liu, Quanmin;Liu, Linya;Chen, Huapeng;Zhou, Yunlai;Lei, Xiaoyan
    • Steel and Composite Structures
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    • v.37 no.3
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    • pp.291-306
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    • 2020
  • The noise from the elevated lines of rail transit has become a growing problem. This paper presents a new method for the rapid prediction of the structure-borne noise from steel or composite bridges, based on the receptance and Statistical Energy Analysis (SEA), which is essential to the study of the generation mechanism and the design of a low-noise bridge. First, the vertical track-bridge coupled vibration equations in the frequency domain are constructed by simplifying the rail and the bridge as an infinite Timoshenko beam and a finite Euler-Bernoulli beam respectively. Second, all wheel/rail forces acting upon the track are computed by taking a moving wheel-rail roughness spectrum as the excitation to the train-track-bridge system. The displacements of rail and bridge are obtained by substituting wheel/rail forces into the track-bridge coupled vibration equations, and all spring forces on the bridge are calculated by multiplying the stiffness by the deformation of each spring. Then, the input power to the bridge in the SEA model is derived from spring forces and the bridge receptance. The vibration response of the bridge is derived from the solution to the power balance equations of the bridge, and then the structure-borne noise from the bridge is obtained. Finally, a tri-span continuous steel-concrete composite bridge is taken as a numerical example, and the theoretical calculations in terms of the vibration and noise induced by a passing train agree well with the field measurements, verifying the method. The influence of various factors on wheel/rail and spring forces is investigated to simplify the train-track-bridge interaction calculation for predicting the vibration and noise from steel or composite bridges.

Hydroelastic Analysis of Structural Vibration in Contact with Fluid (접수구조물 진동의 유력탄성해석)

  • K.T. Chung;Y.B. Kim;H.S. Kang;J.H. Roh
    • Journal of the Society of Naval Architects of Korea
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    • v.29 no.1
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    • pp.135-142
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    • 1992
  • In the vibration analysis or submerged of floating bodies such as ship and offshore structures, the coupled system between structure and fluid satisfying the compatibility conditions on the wetted surface should be considered. It is well known that the hydroelastic analysis of structural vibration in contact with fluid can be solved by applying the finite element method to structure and the boundary element method to fluid domain. However such an approach is impractical, because fluid added mass matrix is fully coupled on whole wetted surface. To overcome this shortcoming, an efficient approach based on reanalysis scheme is proposed in this paper. The proposed method can be applied for cases with higher modes lacking 3-D reduction factor J as well as beam-like modes of marine structures. It is well known the traditional method using 2-D added mass and J-factor is good only for beam-like modes with reliable J values. The validity and the calculation efficiency of the proposed method are proved with numerical examples.

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A Forced Vibration Analysis of Soil-Pile Interaction System (지반-말뚝 상호작용계의 강제진동해석)

  • 김민규
    • Proceedings of the Earthquake Engineering Society of Korea Conference
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    • 2001.04a
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    • pp.136-143
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    • 2001
  • In this study, a numerical analysis for soil-pile interaction systems in multi-layered half planes under a forced vibration is presented. The soil-pile interaction system is divided into two parts, so called near field and far field. The near field soil using finite elements and piles using beam elements are modeled. The far field soil media is implemented using boundary elements those can automatically satisfy the condition of wave radiation. These two fields are numerically coupled by imposing displacement compatibility condition at the interface between the near field and the far field. For the verification, the forced vibration test was simulated and the response under horizontal and vertical harmonic loads at the pile cap in the layered half plane was determined. The results are compared to the theoretical and experimental results of the literatures to verify the proposed soil-pile interaction analysis formulation.

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Vertical Vibration Analysis of Single Pile-Soil Interaction System Considering the Interface Spring (접합면 스프링요소를 고려한 단말뚝-지반 상호작용계의 수직진동해석)

  • 김민규;김문겸;이종세
    • Proceedings of the Earthquake Engineering Society of Korea Conference
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    • 2002.09a
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    • pp.106-113
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    • 2002
  • In this study, a numerical analysis method for soil-pile interaction in frequency domain problem is presented. The total soil-pile interaction system is divided into two parts so called near field and far field. In the near field, beam elements are used for a pile and plain strain finite elements for soil. In the far field, dynamic fundamental solution for multi-layered half planes based on boundary element formulation is adopted for soil. These two fields are coupled using FE-BE coupling technique In order to verify the proposed soil-pile interaction analysis, the dynamic responses of pile on multi-layered half planes are simulated and the results are compared with the experimental results. Also, the dynamic response analyses of interface spring elements are performed. As a result, less spring stiffness makes the natural frequency decrease and the resonant amplitude increase.

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