• Title/Summary/Keyword: Euler Method

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Dynamic Characteristic Analysis of a Flexible Beam Actuated by Moving Coil and DC Motor (가동 코일 및 DC Motor로 작동되는 유연한 빔의 운동 특성 해석)

  • Yu, Hwajoon;Jeong, Wontaick;Nam, Yoonsu
    • Journal of Industrial Technology
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    • v.19
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    • pp.15-23
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    • 1999
  • Active damping system is generally used for the vibration suppression and precise motion control for the flexible structure. This application can be easily found on the space structure and driving mechanism of optical storage devices. Although a control system using the flexible structure has many advantages over using rigid mechanism in driving energy saving, system weights, and etc., more complex and precise control strategies are required. A position control system using flexible structure and the concept of active damper is designed and manufactured, which is driven by slide DC motor and moving coil motor located at the tip of the flexible beam. Dynamic characteristics of this system are investigated by analytic and experimental ways. By the comparison of those two results, a nominal reference model for this system is proposed.

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Numerical study for vibration response of concrete beams reinforced by nanoparticles

  • Heidari, Ali;Keikha, Reza;Haghighi, Mohammad Salkhordeh;Hosseinabadi, Hamidreza
    • Structural Engineering and Mechanics
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    • v.67 no.3
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    • pp.311-316
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    • 2018
  • Vibration of concrete beams reinforced by agglomerated silicon dioxide ($SiO_2$) nanoparticles is studied based on numerical methods. The structure is simulated by Euler-Bernoulli beam model and the Mori-Tanaka model is used for obtaining the effective material properties of the structure. The concrete beam is located in soil medium which is modeled by spring elements. The motion equations are derived based on energy method and Hamilton's principle. Based on exact solution, the frequency of the structure is calculated. The effects of different parameters such as volume percent of $SiO_2$ nanoparticles and agglomeration, soil medium and geometrical parameters of beam are shown on the frequency of system. The results show that with increasing the volume percent of $SiO_2$ nanoparticles, the frequency increases.

IMPROVEMENT OF FLOW SIMULATIONS METHOD WITH MULTI-RESOLUTION ANALYSIS BY BOUNDARY TREATMENT (경계면 처리 개선을 통한 다중해상도 유동해석 기법 개선 연구)

  • Kang, H.M.
    • Journal of computational fluids engineering
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    • v.20 no.4
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    • pp.44-50
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    • 2015
  • The computational efficiency of flow simulations with Multi-resolution analysis (MRA) was enhanced via the boundary treatment of the computational domain. In MRA, an adaptive dataset to a solution is constructed through data decomposition with interpolating polynomial and thresholding. During the decomposition process, the basis points of interpolation should exceed the boundary of the computational domain. In order to resolve this problem, the weight coefficients of interpolating polynomial were adjusted near the boundaries. By this boundary treatment, the computational efficiency of MRA was enhanced while the numerical accuracy of a solution was unchanged. This modified MRA was applied to two-dimensional steady Euler equations and the enhancement of computational efficiency and the maintenance of numerical accuracy were assessed.

Series tuned mass dampers in train-induced vibration control of railway bridges

  • Kahya, Volkan;Araz, Onur
    • Structural Engineering and Mechanics
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    • v.61 no.4
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    • pp.453-461
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    • 2017
  • This paper presents the series multiple tuned mass dampers (STMDs) to suppress the resonant vibrations of railway bridges under the passage of high-speed trains (HSTs). A STMD device consisting of two spring-mass-damper units connected each other in series is installed on the bridge. In solution, bridge is modeled as a simply-supported Euler-Bernoulli beam with constant cross-section, and vehicle is simulated as a series of moving forces with constant speed. By the assumed mode method, the governing equations of motion of the beam-TMD device coupled system traversed by a moving train are obtained. The optimum values for the parameters of the STMD device are obtained for the criterion based on the minimization of the maximum dynamic displacement of the beam at its midspan. Single TMD and multiple TMDs in parallel are also considered for demonstration of the STMD device's performance. The results show that STMDs are effective in bridge vibration suppression and robust to parameters' change in the main system and the absorber itself.

Effect of Tube Area on the Impulse Wave Discharged from the Exit of Tube (관출구로부터 방출되는 펄스파에 미치는 관단면적의 영향)

  • Shin, Hyun-Dong;Lee, Young-Ki;Kim, Heuy-Dong
    • Proceedings of the KSME Conference
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    • 2003.11a
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    • pp.544-549
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    • 2003
  • When a shock wave arrives at an open end of tube, an impulse wave is discharged from the tube exit and causes serious noise and vibration problems. In the current study, the effect of the cross-sectional area of tube on the impulse wave is numerically investigated using a CFD method. The Harten-Yee's total variation diminishing(TVD) scheme is used to solve the axisymmetric, two-dimensional, unsteady, compressible Euler equations. With three different cross-sectional areas of tube, the Mach number of the incident shock wave $M_{s}$ is varied between 1.01 and 1.5. The results obtained show that the directivity and magnitude of impulse wave strongly depend upon the Mach number of incident shock wave and are influenced by the tube area. It is also known that the tube cross-sectional area significantly affects the magnitude of impulse wave at or near the tube axis.

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Study on the Characteristics of Impulse Wave Discharged from the Tube Exit with Non-Circular Cross-Section (비원형 관출구로부터 방출되는 펄스파의 특성에 관한 연구)

  • Shin, Hyun-Dong;Kweon, Yong-Hun;Lee, Young-Ki;Kim, Heuy-Dong
    • Proceedings of the KSME Conference
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    • 2003.11a
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    • pp.550-555
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    • 2003
  • When a shock wave arrives at an open end of tube, an impulse wave is discharged from the tube exit and complicated flow is formed near tube exit. The flow field is influenced by the cross-sectional geometry of tube exit, such as circular, square, rectangular, trapezoid and etc. In the current study, three-dimensional propagation characteristics of impulse wave discharged from the tube exit with non-circular cross section are numerically investigated using a CFD method. Total variation diminishing (TVD) scheme is used to solve the three-dimensional, unsteady, compressible Euler equations. Computations are performed for the Mach numbers of the incident shock wave $M_{s}$ below 1.5. The results obtained show that the peak pressure of the impulse wave and propagation directivity depends on the cross-sectional geometry of tube exit and the Mach number of incident shock wave.

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MEMS Accelerometer Modeling and Performance Analysis by Considering Signal Distortion (신호왜곡 현상을 고려한 MEMS 가속도 센서 모델링 및 성능특성 분석)

  • Kim, Yong-Il;Yoo, Hong-Hee
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.21 no.2
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    • pp.106-111
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    • 2011
  • In this paper, assumed mode method on Euler beam theory is employed and signal distortion is considered to obtain the performances of a MEMS accelerometer which are a sensitivity and measurable frequency range(MFR). Not only the sensitivities and MFR but also the variations of dynamic responses and natural frequencies of the MEMS accelerometer are investigated for several sets of beam properties such as length, width, thickness and Young's modulus. It is stated that the variations of beam properties significantly influence the performances of the MEMS accelerometer and the relationship between sensitivities and MFR is inversely proportional to each other.

A Position Control for a Parallel Stage with 6 degrees of freedom Using Magnetic Actuators (전자기 구동장치를 이용한 병렬형 6자유도 스테이지의 위치제어)

  • Lee Se-Han
    • Journal of the Korean Society for Precision Engineering
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    • v.22 no.7 s.172
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    • pp.102-111
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    • 2005
  • In this paper, we address a position control for a parallel stage, which is levitated and driven by electric magnetic force. This consists of a levitating object (called platen) with 4 permanent magnetic linear synchronous motors in parallel. Each motor generates vertical force for suspension against gravity and propulsion force horizontally as well. This stage can generate six degrees of freedom motion by the vertical and horizontal force. A dynamic equation of the stage system is derived based on Newton-Euler method and it's special Jacobian matrix describing a relation between the limited velocity and Cartesian velocity is done. There are proposed two control methods for positioning which are Cartesian space controller and Actuator space controller. The control performance of the Cartesian space controller is better than the Actuator space controller in task space trajectory while the Actuator space controller is simpler than the Cartesian space controller in controller realization.

A study of sedimentation processes in seamangum coastal area (새만금지구의 퇴적과정에 관한 연구)

  • 신문섭;유철웅
    • Proceedings of the Korea Water Resources Association Conference
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    • 1996.05a
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    • pp.689-694
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    • 1996
  • The purpose of this study is to find sedimentation patterns variation in Seamangum coastal sea region. Water circulations are calculated diagnostically from the observed water temperature and salinity data and wind data and tidal residual current. There dimensional movements of injected particles due to currents, tubulence and sinking velocity are tracked by the Euler-lagrange method. Calculated sedimentation patters of riverine material are highly similat to the observed ones.

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Responses and Modal Analyses of Micro Double Cantilever Beams Interacted by Elctrostatic Forces (정전기력을 받는 마이크로 이중 외팔 보의 응답 및 모드 해석)

  • Jung, Kang-Sik;Moon, Seung-Jae;Yoo, Hong-Hee
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.15 no.2 s.95
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    • pp.199-205
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    • 2005
  • The governing equations of micro double cantilever beam structures interacted by electrostatic forces are obtained employing Galerkin's method based on Euler beam theory. Variations of static and dynamic responses as well as natural frequencies are estimated for applied voltages. In particular, it is investigated how the variations of beam properties resulted by manufacturing process influence the deflections and the modal characteristics. This study can help to design MEMS structures and to predict the performances with respect to manufacturing tolerances.