• Title/Summary/Keyword: Analytical mode

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Natural frequencies and mode shapes of thin-walled members with shell type cross section

  • Ohga, M.;Shigematsu, T.;Hara, T.
    • Steel and Composite Structures
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    • v.2 no.3
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    • pp.223-236
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    • 2002
  • An analytical procedure based on the transfer matrix method to estimate not only the natural frequencies but also vibration mode shapes of the thin-walled members composed of interconnected cylindrical shell panels is presented. The transfer matrix is derived from the differential equations for the cylindrical shell panels. The point matrix relating the state vectors between consecutive shell panels are used to allow the transfer procedures over the cross section of the members. As a result, the interactions between the shell panels of the cross sections of the members can be considered. Although the transfer matrix method is naturally a solution procedure for the one-dimensional problems, this method is well applied to thin-walled members by introducing the trigonometric series into the governing equations of the problem. The natural frequencies and vibration mode shapes of the thin-walled members composed of number of interconnected cylindrical shell panels are observed in this analysis. In addition, the effects of the number of shell panels on the natural frequencies and vibration mode shapes are also examined.

An Experimental Study on the Performance of a Mixed Mode Type Small Scale MR Damper (복합모드형 소형 MR감쇠장치 성능에 관한 실험적 연구)

  • Lee, Sang-Hyun;Min, Kyung-Won;Lee, Myoung-Kyu;Park, Eun-Churn
    • Proceedings of the Earthquake Engineering Society of Korea Conference
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    • 2005.03a
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    • pp.461-468
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    • 2005
  • In this paper, mixed mode magneto-rheological (MR) damper, which is applicable for vibration control of a small scale multi-story structure, is devised. First, the schematic configurations of the shear, flow, and mixed mode MR dampers are described with design constraints and then the analytical models to predict the field-dependent damping forces are derived for each type. Second, an appropriate size of the mixed mode MR damper is manufactured and its field-dependent damping characteristics are evaluated in time domain. Finally, the performance of the manufactured MR damper which is semi-actively applied to a small scale building excited by earthquake load, is numerically evaluated.

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Analysis of Parameter Effects on the Small-Signal Dynamics of Buck Converters with Average Current Mode Control

  • Li, Ruqi;O'Brien, Tony;Lee, John;Beecroft, John;Hwang, Kenny
    • Journal of Power Electronics
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    • v.12 no.3
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    • pp.399-409
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    • 2012
  • In DC-DC Buck converters with average current mode control, the current loop compensator provides additional design freedom to enhance the converter current loop performance. On the other hand, the current loop circuit elements append substantial amount of complexity to not only the inner current loop but also the outer voltage loop, which makes it demanding to quantify circuit and operating parameter effects on the small-signal dynamics of such converters. Despite the difficulty, it is shown in this paper that parameter effects can be analyzed satisfactorily by using an existing small-signal model in conjunction with a newly proposed simplified alternative. As a result of the study, new insight into average current mode control is uncovered and discussed quantitatively. Measurable experimental results on a prototype averaged-current-mode-controlled Buck converter are provided to facilitate the analytical study with good correlation.

Parametric Modelling of Coupled System (커플시스템의 파라메트릭 모델링)

  • Yoon, Moon-Chul;Kim, Jong-Do;Kim, Byung-Tak
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.5 no.3
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    • pp.43-50
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    • 2006
  • In this successive study, the analytical realization of coupled system was introduced using the times series identification and spectrum analysis, which was compared with conventional FFT spectrum. Also, the numerical responses of second order system, which is coupled, were solved using the numerical calculation of Runge-Kutta Gill method. After numerical analysis, the displacement, velocity and acceleration were acquired. Among them, the response of displacement was used for the analysis of time series spectrum. Among several time series, the ARMAX algorithm was proved to be appropriate for the spectrum analysis of the coupled system. Using the separated response of 1st and 2nd mode, the mode was calculated separately. And the responses of mixed modes were also analyzed for calculation of the mixed modes in the coupled system.

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Mode analysis of end-milling process by RLSM (RLSM 모델링에 의한 엔드밀링 시스템의 모드 분석)

  • Kim, J.D.;Yoon, M.C.;Kim, K.H.
    • Journal of Power System Engineering
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    • v.15 no.5
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    • pp.54-60
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    • 2011
  • In this study, an analytical realization of end-milling system was introduced using recursive parametric modeling analysis. Also, the numerical mode analysis of end-milling system with different conditions was performed systematically. In this regard, a recursive least square(RLS) modeling algorithm and the natural mode for real part and imaginary one was discussed. This recursive approach (RLSM) can be adopted for the on-line system identification and monitoring of an end-milling for this purpose. After experimental practice of the end-milling, the end-milling force was obtained and it was used for the calculation of FRF(Frequency response function) and mode analysis. Also the FRF was analysed for the prediction of a end-milling system using recursive algorithm.

Mode analysis of end-milling process by recursive parametric modelling (순환 파라메트릭 모델링에 의한 엔드밀 시스템의 모드 분석)

  • Kim, T.H.;Kim, J.D.
    • Journal of the Korean Society of Mechanical Technology
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    • v.13 no.3
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    • pp.73-79
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    • 2011
  • In this study, an analytical realization of end-milling system was introduced using recursive parametric modeling analysis. Also, the numerical mode analysis of end-milling system with different conditions was performed systematically. In this regard, a recursive least square modelling algorithm and the natural mode for real part and imaginary one was discussed. This recursive approach (RLSM) can be adopted for on-line end-milling identification. After experimental practice of the end-milling, the end-milling force was obtained and it was used for the calculation of FRF (Frequency response function) and mode analysis. Also the FRF was analysed for the prediction of a end-milling system using recursive algorithm.

Prerequisites on the Pre-installation and Installation of Analytical Electron Microscope (전자현미경 관련장비 선택요령 및 설치조건)

  • Kim, Dae-Joong
    • Applied Microscopy
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    • v.25 no.2
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    • pp.80-87
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    • 1995
  • An analytical electron microscope system has been widely used in biology, medicine, veterinary medicine, agriculture, and materials, etc. nowadays in Korea Market since mid of 1980's. How to install and to choose the equipments? The answers are which prerequisites are needed to us. The purpose is going to introduce the prerequisites of the pre-installation and installation of Philips analytical electron microscope(CM 12/STEM and SEM 515, Philips, The Netherlands) in the National Institute of Safety Research, Seoul and to discuss the check-subjects. The check-subjects in the pre-installation and installation are more than 24. The influence of magnetic fields, mechanical vibrations, earth is crucial factor for decision of installation site. The areas of our electron microscope center are $105.6m^2$ and have the Automatic Image Analyzer System(IBAS, Kontron Co., Germany) connecting to the SEM mode. Water temperature was controlled by the NESLAB recirculatory chillers(NESLAB Co., U.S.A.).

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Analytical model for the prediction of the eigen modes of a beam with open cracks and external strengthening

  • Ovigne, P.A.;Massenzio, M.;Jacquelin, E.;Hamelin, P.
    • Structural Engineering and Mechanics
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    • v.15 no.4
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    • pp.437-449
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    • 2003
  • The aim of this study is to develop an analytical model of a beam with open cracks and external strengthening which is able to predict its modal scheme components (natural frequencies and mode shapes). The model is valid as far as the excitation level is low enough not to activate non linear effects. The application field of the model are either the prediction of the efficiency of the reinforcement or the non destructive assessment of the structural properties. The degrees of freedom associated to the fault lips must be taken into account in order to introduce the effect of the external strengthening. In a first step, an analytical formulation of a beam with thin notches is proposed according to the references. The model is then extended to incorporate the strengthening consisting in a longitudinal stiffness applied in the vicinity of the cracks. In a second step, the analytical results are compared with these obtained from a finite element simulation.

On forced and free vibrations of cutout squared beams

  • Almitani, Khalid H.;Abdelrahman, Alaa A.;Eltaher, Mohamed A.
    • Steel and Composite Structures
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    • v.32 no.5
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    • pp.643-655
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    • 2019
  • Perforation and cutouts of structures are compulsory in some modern applications such as in heat exchangers, nuclear power plants, filtration and microeletromicanical system (MEMS). This perforation complicates dynamic analyses of these structures. Thus, this work tends to introduce semi-analytical model capable of investigating the dynamic performance of perforated beam structure under free and forced conditions, for the first time. Closed forms for the equivalent geometrical and material characteristics of the regular square perforated beam regular square, are presented. The governing dynamical equation of motion is derived based on Euler-Bernoulli kinematic displacement. Closed forms for resonant frequencies, corresponding Eigen-mode functions and forced vibration time responses are derived. The proposed analytical procedure is proved and compared with both analytical and numerical analyses and good agreement is noticed. Parametric studies are conducted to illustrate effects of filling ratio and the number of holes on the free vibration characteristic, and forced vibration response of perforated beams. The obtained results are supportive in mechanical design of large devices and small systems (MEMS) based on perforated structure.

Analytical and experimental modal analyses of a highway bridge model

  • Altunisik, Ahmet Can;Bayraktar, Alemdar;Sevim, Baris
    • Computers and Concrete
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    • v.12 no.6
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    • pp.803-818
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    • 2013
  • In this study, analytical and experimental modal analyses of a scaled bridge model are carried out to extract the dynamic characteristics such as natural frequency, mode shapes and damping ratios. For this purpose, a scaled bridge model is constructed in laboratory conditions. Three dimensional finite element model of the bridge is constituted and dynamic characteristics are determined, analytically. To identify the dynamic characteristics experimentally; Experimental Modal Analyses (ambient and forced vibration tests) are conducted to the bridge model. In the ambient vibration tests, natural excitations are provided and the response of the bridge model is measured. Sensitivity accelerometers are placed to collect signals from the measurements. The signals collected from the tests are processed by Operational Modal Analysis; and the dynamic characteristics of the bridge model are estimated using Enhanced Frequency Domain Decomposition and Stochastic Subspace Identification methods. In the forced vibration tests, excitation of the bridge model is induced by an impact hammer and the frequency response functions are obtained. From the finite element analyses, a total of 8 natural frequencies are attained between 28.33 and 313.5 Hz. Considering the first eight mode shapes, these modes can be classified into longitudinal, transverse and vertical modes. It is seen that the dynamic characteristics obtained from the ambient and forced vibration tests are close to each other. It can be stated that the both of Enhanced Frequency Domain Decomposition and Stochastic Subspace Identification methods are very useful to identify the dynamic characteristics of the bridge model. The first eight natural frequencies are obtained from experimental measurements between 25.00-299.5 Hz. In addition, the dynamic characteristics obtained from the finite element analyses have a good correlation with experimental frequencies and mode shapes. The MAC values obtained between 90-100% and 80-100% using experimental results and experimental-analytical results, respectively.