• Title/Summary/Keyword: mode shape function

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An Study of Optimization on Vehicle Body Stiffness using CAE Application (CAE를 응용한 차체강성 최적화에 관한 연구)

  • 최명진;송명준;장승호
    • Transactions of the Korean Society of Automotive Engineers
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    • v.9 no.6
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    • pp.129-134
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    • 2001
  • One of the most important purposes in the design of machines and structures is to produce the most light products of the lowest price with satisfying function and performance. In this study, a scheme of design optimization for the weight down of vehicle body structure is presented. Design sensitivity of vehicle body structure is investigated and design optimization is performed to get weight down with the allowable stiffness of body in white. Stress, deformation and natural frequencies are the constraint of the optimization.

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Supersonic Plug Nozzle Design and Comparison to the Minimum Length Nozzle Configuration

  • Zebbiche, Toufik;Youbi, ZineEddine
    • International Journal of Aeronautical and Space Sciences
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    • v.7 no.1
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    • pp.27-42
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    • 2006
  • A method to design the contour and conception of a plug nozzle of arbitrary shape, but specified exit flow conditions is presented. Severals shapes can be obtained for exit Mach number by changing the specific heats ratio. The characteristics of the nozzle in terms of length, weight and pressure force exerted on the wall are compared to the Minimum Length Nozzle and found to be better. Our field of study is limited to the supersonic mode to not to have the dissociation of the molecules. The design method is based on the use of the Prandtl Meyer function of a perfect gas. The flow is not axial at the throat, which may be advantageous for many propulsion applications. The performance benefits of the plug nozzle compared to the Minimum Length Nozzle are also presented.

The Study on the Vibration Characteristics of Vehicle Compact Disk Player (차량탑재용 컴팩트 디스크 플레이어의 진동 특성에 관한 연구)

  • Lee Tae-Keun;Kim Byoung-Sam
    • Transactions of the Korean Society of Machine Tool Engineers
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    • v.14 no.6
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    • pp.117-124
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    • 2005
  • This study developes the vibration model to estimate the vibration energy of compact disc player's mainbase assembly which is supported by dampers and springs, and this model is verified by experiment. From frequency response function, we investigate the natural frequency and mode shape in the up/down direction for mainbase assembly. In order to determine the analysis frequency band, we investigate the excitation frequency of road from the vehicle test. As the characteristics of dampers and springs are changed, we carry out the sensitivity analysis of vibration energy for mainbase assembly which include optical pick-up and feeding system. And we found out that the properties of damper were dominant element in the vibration energy of mainbase assembly's CG(center of gravity).

Study for verification of Analysis modeling with investigating dynamic characteristic about 2 axies gimbals system (2축 짐벌 안정계 동특성 고찰을 통한 해석 모델링 검증에 관한 연구)

  • Kim, Man-Dal;Lee, Yong-Deog;Kim, Sung-Kuk
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2005.11a
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    • pp.180-183
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    • 2005
  • 2 axis gimbals systems are extensively used in various tracking devices for attaining the system's objective. Designers are sometimes passing over the dynamic characteristics of system in vibrating condition In this paper, 2 axis gimbals systems including interface elements is modeled with finite elements. To verify this model, the finite element model is refined by using the experimental model data. The refined model is simulated with I-DEAS and MSC.NATRAN's FRF(Frequency response Function) and RRA(Random vibration Response Analysis) function to get dynamic characteristics of 2 axis gimbals system.

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Crack Energy and Governing Equation of an Extensible Beam with Multiple Cracks (다중 균열을 갖는 신장 보의 균열 에너지와 지배방정식)

  • Shon, Sudeok
    • Journal of Korean Association for Spatial Structures
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    • v.24 no.1
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    • pp.65-72
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    • 2024
  • This paper aims to advance our understanding of extensible beams with multiple cracks by presenting a crack energy and motion equation, and mathematically justifying the energy functions of axial and bending deformations caused by cracks. Utilizing an extended form of Hamilton's principle, we derive a normalized governing equation for the motion of the extensible beam, taking into account crack energy. To achieve a closed-form solution of the beam equation, we employ a simple approach that incorporates the crack's patching condition into the eigenvalue problem associated with the linear part of the governing equation. This methodology not only yields a valuable eigenmode function but also significantly enhances our understanding of the dynamics of cracked extensible beams. Furthermore, we derive a governing equation that is an ordinary differential equation concerning time, based on orthogonal eigenmodes. This research lays the foundation for further studies, including experimental validations, applications, and the study of damage estimation and detection in the presence of cracks.

Free Vibrations of Timoshenko Beam with Constant Volume (일정체적 Timoshenko 보의 자유진동)

  • Lee, Byoung-Koo;Lee, Tae-Eun;Yoon, Hee-Min
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.22 no.3
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    • pp.223-233
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    • 2012
  • This paper deals with free vibrations of the tapered Timoshenko beam with constant volume, in which both the rotatory inertia and shear deformation are included. The cross section of the tapered beam is chosen as the regular polygon cross section whose depth is varied with the parabolic function. The ordinary differential equations governing free vibrations of such beam are derived based on the Timoshenko beam theory by decomposing the displacements. Governing equations are solved for determining the natural frequencies corresponding with their mode shapes. In the numerical examples, three end constraints of the hinged-hinged, hinged-clamped and clamped-clamped ends are considered. The effects of various beam parameters on natural frequencies are extensively discussed. The mode shapes of both the deflections and stress resultants are presented, in which the composing rates due to bending rotation and shear deformation are determined.

Measurement of Vibration Mode Shapes Using Time Average ESPI (시간 평균 ESPI를 이용한 진동 물체의 모우드 형태의 계측)

  • Kang, Young-June;Choi, Jang-Seob
    • Journal of the Korean Society for Precision Engineering
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    • v.13 no.2
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    • pp.84-93
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    • 1996
  • Non-destructive inspection techniques using laser have been broading their application areas as well as growing their measurement skills together with the rapid development of circumferential technology like fiber optics, computer and image processing. The ESPI technique is already on the stage of on-line testing with commercial products in developed country nations. Especially, this technique is expected to be applied to the nuclear industry, automobile and aerospace because it is proper for the vibration measurement and it can be applied to objects of a high temperature. This paper describes the use of the ESPI system for measuring vibration patterns on the reflecting objects. Using this system, high-quality Jo fringes for identifying mode shapes are displayed. A bias vibration is introduced into the reference beam to shift the Jo fringes so that fringe shift algorithms can be used to determine vibration amplitude. Using this method, amplitude fields for vibrating objects were obtained directly from the time-average interferograms recorded by the ESPI system.

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System identification of high-rise buildings using shear-bending model and ARX model: Experimental investigation

  • Fujita, Kohei;Ikeda, Ayumi;Shirono, Minami;Takewaki, Izuru
    • Earthquakes and Structures
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    • v.8 no.4
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    • pp.843-857
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    • 2015
  • System identification is regarded as the most basic technique for structural health monitoring to evaluate structural integrity. Although many system identification techniques extracting mode information (e.g., mode frequency and mode shape) have been proposed so far, it is also desired to identify physical parameters (e.g., stiffness and damping). As for high-rise buildings subjected to long-period ground motions, system identification for evaluating only the shear stiffness based on a shear model does not seem to be an appropriate solution to the system identification problem due to the influence of overall bending response. In this paper, a system identification algorithm using a shear-bending model developed in the previous paper is revised to identify both shear and bending stiffnesses. In this algorithm, an ARX (Auto-Regressive eXogenous) model corresponding to the transfer function for interstory accelerations is applied for identifying physical parameters. For the experimental verification of the proposed system identification framework, vibration tests for a 3-story steel mini-structure are conducted. The test structure is specifically designed to measure horizontal accelerations including both shear and bending responses. In order to obtain reliable results, system identification theories for two different inputs are investigated; (a) base input motion by a modal shaker, (b) unknown forced input on the top floor.

Optimal design of a viscous inertial mass damper for a taut cable by the fixed-points method

  • Duan, Y.F.;Dong, S.H.;Xu, S.L.;Yun, C.B.
    • Smart Structures and Systems
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    • v.30 no.1
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    • pp.89-106
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    • 2022
  • The negative stiffness of an active or semi-active damper system has been proven to be very effective in reducing dynamic response. Therefore, energy dissipation devices possessing negative stiffness, such as viscous inertial mass dampers (VIMDs), have drawn much attention recently. The control performance of the VIMD for cable vibration mitigation has already been demonstrated by many researchers. In this paper, a new optimal design procedure for VIMD parameters for taut cable vibration control is presented based on the fixed-points method originally developed for tuned mass damper design. A model consisting of a taut cable and a VIMD installed near a cable end is studied. The frequency response function (FRF) of the cable under a sinusoidal load distributed proportionally to the mode shape is derived. Then, the fixed-points method is applied to the FRF curves. The performance of a VIMD with the optimal parameters is subsequently evaluated through simulations. A taut cable model with a tuned VIMD is established for several cases of external excitation. The performance of VIMDs using the proposed optimal parameters is compared with that in the literature. The results show that cable vibration can be significantly reduced using the proposed optimal VIMD with a relatively small amount of damping. Multiple VIMDs are applied effectively to reduce the cable vibration with multi-modal components.

Experimental investigation of a method for diagnosing wall thinning in an artificially thinned carbon steel elbow based on changes in modal characteristics

  • Byunyoung Chung ;Jonghwan Kim ;Daesic Jang;Sunjin Kim;Youngchul Choi
    • Nuclear Engineering and Technology
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    • v.55 no.3
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    • pp.947-957
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    • 2023
  • Curved cylindrical structures such as elbows have a non-uniform thickness distribution due to their fabrication process, and as a result have a number of complex mode shapes, including circumferential and axial nodal patterns. In nuclear power plants, material degradation is induced in pipes by flow accelerated erosion and corrosion, causing the wall thickness of carbon steel elbows to gradually thin. The corresponding frequencies of each mode shape vary according to the wall thinning state. Therefore, the thinning state can be estimated by monitoring the varying modal characteristics of the elbow. This study investigated the varying modal characteristics of artificially thinned carbon steel elbows for each thinning state using numerical simulation and experimental methods (MRIT, Multiple Reference Impact Test). The natural frequencies of specified mode shapes were extracted, and results confirmed they linearly decreased with increasing thinning. In addition, by comparing single FRF (Frequency Response Function) data with the results of MRIT, a concise and cost effective thinning estimation method was suggested.