• Title/Summary/Keyword: Generalized Modal Analysis

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Shunt Damping of HDD Disk-Spindle System Using Piezoelectric Bimorph (압전 바이모프를 이용한 HDD 디스크-스핀들 시스템의 션트 댐핑)

  • Lim S. C.;Choi S. B,;Park Y P.;Park N, C.
    • Transactions of the Society of Information Storage Systems
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    • v.1 no.1
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    • pp.84-92
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    • 2005
  • This work presents the feasibility of shunt damping far vibration suppression of the rotating HDD disk-spindle system using piezoelectric bimorph. A target vibration mode which significantly restricts the recording density increment of the drive is determined through modal analysis and a piezoelectric bimorph is designed to suppress unwanted vibration. After deriving the two-dimensional generalized electromechanical coupling coefficient of the shunted drive, the shunt damping of the system is predicted by simulating the displacement transmissibility using the coefficient. In addition, optimal design process using sensitivity analysis is undertaken in order to improve the shunt damping of the system. The effectiveness of the proposed methodology is verified through experimental implementation by observing the vibration characteristics of the rotating disk-spindle system in frequency domain.

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Matrix-based Chebyshev spectral approach to dynamic analysis of non-uniform Timoshenko beams

  • Wang, W.Y.;Liao, J.Y.;Hourng, L.W.
    • Structural Engineering and Mechanics
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    • v.39 no.5
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    • pp.669-682
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    • 2011
  • A Chebyshev spectral method (CSM) for the dynamic analysis of non-uniform Timoshenko beams under various boundary conditions and concentrated masses at their ends is proposed. The matrix-based Chebyshev spectral approach was used to construct the spectral differentiation matrix of the governing differential operator and its boundary conditions. A matrix condensation approach is crucially presented to impose boundary conditions involving the homogeneous Cauchy conditions and boundary conditions containing eigenvalues. By taking advantage of the standard powerful algorithms for solving matrix eigenvalue and generalized eigenvalue problems that are embodied in the MATLAB commands, chebfun and eigs, the modal parameters of non-uniform Timoshenko beams under various boundary conditions can be obtained from the eigensolutions of the corresponding linear differential operators. Some numerical examples are presented to compare the results herein with those obtained elsewhere, and to illustrate the accuracy and effectiveness of this method.

Electromagnectic Modal Analysis for the Multiscreen Structure with Periodic Slot Array Including Conductor Thickness Effect (유한한 두께를 갖는 평판 상의 주기적 슬롯이 배열된 다중스크린 구조의 전자파 모드 해석)

  • 고지환;조영기
    • Journal of the Institute of Electronics Engineers of Korea TC
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    • v.40 no.11
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    • pp.1-9
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    • 2003
  • The electromagnectic modal analysis method for the multiscreen structure with periodic slot array with including conductor thickness effect is presented. The multiscreen structure is seen to be exactly equivalent to a microwave guide closed by phase-shift walls. From this viewpoint, the entire generalized scattering matrix of the multiscreen structure is calculated by the cascade connection of the scattering matrices obtained by the modal analysis at guide junctions and the transmission matrices of guide region. The present method is verified in comparison with the results calculated by the previous method of moment for single screen structure. As an application example of the present method, the spatial filter having multiscreen structure is designed and the interesting characteristics such as transmission and reflection coefficient versus frequency & angle are investigated.

Model Updating of a Car Body Structure Using a Generalized Free-Interface Mode Sensitivity Method (일반화 자유경계 모드 감도법을 이용한 차체구조물의 모델개선)

  • Jang, Gyeong-Jin;Park, Yeong-Pil
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.24 no.5 s.176
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    • pp.1133-1145
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    • 2000
  • It is necessary to develop an efficient analysis method to identify the dynamic characteristics of a large mechanical structure and update its finite element model. That is because these processes need the huge computation of a large structure and iterative estimation due to the use of the first- order sensitivity. To efficiently carry out these processes, a new method, called the generalized free-interface mode sensitivity method, has been proposed in the authors' preceeding paper. This method is based on substructuring approach such as a free-interface method and a generalized synthesis algorithm. In this paper, the proposed method is applied to the model updating of a car body structure to verify its accuracy and reliability for a large mechanical structure.

Vibration Suppression of the HDD Spindle-Disk System Using Piezoelectric Bimorph (압전 바이모프를 이용한 HDD 스핀들-디스크 시스템의 진동저감)

  • Lim, S.C.;Park, J.S.;Choi, S.B.;Park, Y.P.
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2004.11a
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    • pp.592-595
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    • 2004
  • This paper presents the feasibility of the piezoelectric shunt damping for vibration suppression of the highly rotating HDD disk-spindle system. A target vibration mode which restricts the recording density increment of the drive is determined by modal analysis of the drive, and a piezoelectric bimorph is designed to suppress the vibration level of the target mode. After deriving the generalized two-dimensional electromechanical coupling coefficient of the shunted spindle-disk system, the damping performance of the system is predicted by simulating the displacement transmissibility on the target mode. After manufacturing the proposed drive, the vibration suppression performance of the proposed methodology is experimentally evaluated in frequency domain.

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Comparative study of finite element analysis and generalized beam theory in prediction of lateral torsional buckling

  • Sharma, Shashi Kant;Kumar, K.V. Praveen;Akbar, M. Abdul;Rambabu, Dadi
    • Advances in materials Research
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    • v.11 no.1
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    • pp.59-73
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    • 2022
  • In the construction industry, thin-walled frame elements with very slender open cross-sections and low torsional stiffness are often subjected to a complex loading condition where axial, bending, shear and torsional stresses are present simultaneously. Hence, these often fail in instability even before the yield capacity is reached. One of the most common instability conditions associated with thin-walled structures is Lateral Torsional Buckling (LTB). In this study, a first order Generalized Beam Theory (GBT) formulation and numerical analysis of cold-formed steel lipped channel beams (C80×40×10×1, C90×40×10×1, C100×40×10×1, C80×40×10×1.6, C90×40×10×1.6 and C100×40×10×1.6) subjected to uniform moment is carried out to predict pure Lateral Torsional Buckling (LTB). These results are compared with the Finite Element Analysis of the beams modelled with shell elements using ABAQUS and analytical results based on Euler's buckling formula. The mode wise deformed shape and modal participation factors are obtained for comparison of the responses along with the effect of varying the length of the beam from 2.5 m to 10 m. The deformed shapes of the beam for different modes and GBTUL plots are analyzed for comparative conclusions.

An Analysis of Dynamic Characteristics of 3o% U Slider-Air Bearings by Using Perturbation Method (섭동법을 이용한 30% U 형 공기윤활 슬라이더 베어링의 동특성 해석)

  • 강태식;정태건;최동훈
    • Proceedings of the Korean Society of Tribologists and Lubrication Engineers Conference
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    • 1999.06a
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    • pp.291-296
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    • 1999
  • This study presents a method for determining stiffness and damping coefficients of 30% U slider-air bearings by using perturbation method, and shows that this method is more accurate than steady state method according to the comparison of those with the modal analysis method. Through a generalized lubrication equation, which based on linealized Boltzmann equation, the static and dynamic pressure distributions are calculated by finite volume method.

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The Development of a finite-Element Modelling and Component Mode Synthesis Method for High-Speed railway Passenger Cars (고속전철 객차를 위한 유한요소모델링 및 모드합성기법의 개발)

  • 장경진;김홍준;이상민;박영필
    • Proceedings of the KSR Conference
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    • 1998.05a
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    • pp.233-240
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    • 1998
  • In the design of the high-speed railway vehicles of low noise and vibration characteristics, it is desirable to develop efficient and systematic procedures for analyzing large structures. In this paper, some finite-element modelling techniques and an efficient analytical method are proposed for this purpose. The analytical method is based on substructuring approach such as a free-interface method and a generalized synthesis algorithm. In final, the proposed approaches are applied to the finite-element modelling, modal analysis and subsequent model updating procedures of the high-speed railway intermediate trailers.

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Investigation on deck-stay interaction of cable-stayed bridges with appropriate initial shapes

  • Liu, Ming-Yi;Lin, Li-Chin;Wang, Pao-Hsii
    • Structural Engineering and Mechanics
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    • v.43 no.5
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    • pp.691-709
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    • 2012
  • This paper provides a variety of viewpoints to illustrate the mechanism of the deck-stay interaction with the appropriate initial shapes of cable-stayed bridges. Based on the smooth and convergent bridge shapes obtained by the initial shape analysis, the one-element cable system (OECS) and multi-element cable system (MECS) models of the Kao Ping Hsi Bridge in Taiwan are developed to verify the applicability of the analytical model and numerical formulation from the field observations in the authors' previous work. For this purpose, the modal analysis of the two finite element models are conducted to calculate the natural frequency and normalized mode shape of the individual modes of the bridge. The modal coupling assessment is also performed to obtain the generalized mass ratios among the structural components for each mode of the bridge. The findings indicate that the coupled modes are attributed to the frequency loci veering and mode localization when the "pure" deck-tower frequency and the "pure" stay cable frequency approach one another, implying that the mode shapes of such coupled modes are simply different from those of the deck-tower system or stay cables alone. The distribution of the generalized mass ratios between the deck-tower system and stay cables are useful indices for quantitatively assessing the degree of coupling for each mode. These results are demonstrated to fully understand the mechanism of the deck-stay interaction with the appropriate initial shapes of cable-stayed bridges.

High-frequency force balance technique for tall buildings: a critical review and some new insights

  • Chen, Xinzhong;Kwon, Dae-Kun;Kareem, Ahsan
    • Wind and Structures
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    • v.18 no.4
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    • pp.391-422
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    • 2014
  • The high frequency force balance (HFFB) technique provides convenient measurements of integrated forces on rigid building models in terms of base bending moments and torque and/or base shear forces. These base moments or forces are then used to approximately estimate the generalized forces of building fundamental modes with mode shape corrections. This paper presents an analysis framework for coupled dynamic response of tall buildings with HFFB technique. The empirical mode shape corrections for generalized forces with coupled mode shapes are validated using measurements of synchronous pressures on a square building surface from a wind tunnel. An alternative approach for estimating the mean and background response components directly using HFFB measurements without mode shape corrections is introduced with a discussion on higher mode contributions. The uncertainty in the mode shape corrections and its influence on predicted responses of buildings with both uncoupled and coupled modal shapes are examined. Furthermore, this paper presents a comparison of aerodynamic base moment spectra with available data sets for various tall building configurations. Finally, e-technology aspects in conjunction with HFFB technique such as web-based on-line analysis framework for buildings with uncoupled mode shapes used in NALD (NatHaz Aerodynamic Loads Database) is discussed, which facilitates the use of HFFB data for preliminary design stages of tall buildings subject to wind loads.