• Title/Summary/Keyword: dynamic modal analysis

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Modified Modal Method for Eigenderivative Analysis of Asymmetric Damped System (비대칭 감쇠 시스템의 고유진동수와 모드의 미분을 구하기 위한 모드법 의 개선)

  • 문영종;박선규;이인원
    • Proceedings of the Earthquake Engineering Society of Korea Conference
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    • 2001.09a
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    • pp.125-130
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    • 2001
  • It is well known that many real systems have asymmetric mass, damping and stiffness matrices. In this case, the method for calculating eigenpair sensitivity is different from that of symmetric system. To determine the derivatives of the eigenpairs in asymmetric damped case, a modal method was recently developed by Adhikari. When a dynamic system has many degrees of freedom, only a few lower modes are available, and because the higher modes should be truncated to use the modal method, the errors may become significant. In this paper a procedure for determining the sensitivities of the eigenpairs of asymmetric damped system using a few lowest set of modes is proposed. Numerical examples show that proposed method achieves better calculating efficiency and highly accurate results when a few modes are used.

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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.

Modified Modal Method for Eigenderivative Analysis of Asymmetric Damped System (비대칭 감쇠 시스템의 고유진동수와 모드의 미분을 구하기 위한 모드법의 개선)

  • 문영종;박선규;이인원
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2001.10a
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    • pp.509-514
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    • 2001
  • It is well known that many real systems have asymmetric mass, damping and stiffness matrices. In this case, the method for calculating eigenpair sensitivity is different from that of symmetric system. To determine the derivatives of the eigenpairs in asymmetric damped case, a modal method was recently developed by Adhikari. When a dynamic system has many degrees of freedom only a few lower modes are available, and because the higher modes should be truncated to use the modal method, the errors may become significant. In this paper a procedure for determining the sensitivities of the eigenpairs of asymmetric damped system using a few lowest set of modes is proposed. Numerical examples show that proposed method achieves better calculating efficiency and highly accurate results when a few modes are used.

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Variation of modal parameters of bridges due to vehicle-bridge interaction (차량-교량 상호작용에 의한 교량 모달 특성의 변화)

  • 권순덕;김철영;장승필
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2003.05a
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    • pp.420-423
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    • 2003
  • This paper addresses the results of experimental and analytical study on the effects of dynamic interaction between vehicle and bridge on modal properties of bridge. Based on ambient vibration test and vehicle impact test on a bridge, it is found that the natural frequencies of bridge are varied by vehicle passing. Analytical studies for the effects of vehicle position, speed, damping, mass ratio and frequency ratio on bridge-vehicle interaction are carried out using complex eigenvalue analysis and numerical integration in time domain. The results show that vehicle properties except speed cause significant change of natural frequency as well as damping of bridge.

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Vibration Analysis of Super-Precision Linear Motors (초정밀 선형 모터의 진동 분석)

  • Seol, Jin-Soo;Lee, Woo-Young;Rim, Kyung-Hwa
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2004.11a
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    • pp.840-845
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    • 2004
  • Development of the linear motors is recently required to control a high-speed and high-resolution in the high-integrated and speed process industry. This paper presents vibration analyses as well as measurement standards of the newly developed linear motors through analyzing the vibration characteristics of the advanced products. Vibration experiments are conducted for identifying vibration level during operation. They are also included in the modal test to analyze dynamic characteristics. Analytic data using Finite Element Method (FEM) are compared with the results of the modal. The FEM and experiments make it possible to understand these characteristics. Further, through computer simulation for the behavior of moving part to be vibration source, the best acceleration pattern of moving part movement can be verified to achieve effective moving part positioning and reduce the vibration due to moving part movement.

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Experimental damage identification of cantilever beam using double stage extended improved particle swarm optimization

  • Thakurdas Goswami;Partha Bhattacharya
    • Structural Engineering and Mechanics
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    • v.91 no.6
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    • pp.591-606
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    • 2024
  • This article proposes a new methodology for identifying beam damage based on changes in modal parameters using the Double Stage Extended Improved Particle Swarm Optimization (DSEIPSO) technique. A finite element code is first developed in MATLAB to model an ideal beam structure based on classical beam theory. An experimental study is then performed on a laboratory-scale beam, and the modal parameters are extracted. An improved version of the PSO algorithm is employed to update the finite element model based on the experimental measurements, representing the real structure and forming the baseline model for all further damage detection. Subsequently, structural damages are introduced in the experimental beam. The DSEIPSO algorithm is then utilized to optimize the objective function, formulated using the obtained mode shapes and the natural frequencies from the damaged and undamaged beams to identify the exact location and extent of the damage. Experimentally obtained resultsfrom a simple cantilever beam are used to validate the effectiveness of the proposed method. The illustrated results show the effectiveness of the proposed method for structural damage detection in the SHM field.

Dynamic analysis of bridge girders submitted to an eccentric moving load

  • Vieira, Ricardo F.;Lisi, Diego;Virtuoso, Francisco B.
    • Structural Engineering and Mechanics
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    • v.52 no.1
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    • pp.173-203
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    • 2014
  • The cross-section warping due to the passage of high-speed trains can be a relevant issue to consider in the dynamic analysis of bridges due to (i) the usual layout of railway systems, resulting in eccentric moving loads; and (ii) the use of cross-sections prone to warping deformations. A thin-walled beam formulation for the dynamic analysis of bridges including the cross section warping is presented in this paper. Towards a numerical implementation of the beam formulation, a finite element with seven degrees of freedom is proposed. In order to easily consider the compatibility between elements, and since the coupling between flexural and torsional effects occurs in non-symmetric cross-sections due to dynamic effects, a single axis is considered for the element. The coupled flexural-torsional free vibration of thin-walled beams is analysed through the presented beam model, comparing the results with analytical solutions presented in the literature. The dynamic analysis due to an eccentric moving load, which results in a coupled flexural-torsional vibration, is considered in the literature by analytical solutions, being therefore of a limited applicability in practice engineering. In this paper, the dynamic response due to an eccentric moving load is obtained from the proposed finite element beam model that includes warping by a modal analysis.

A Study on Analysis of Dynamic Characteristics and Evaluation of Dynamic Compliance of a 5-Axis Multi-tasking Machine Tool by Using F.E.M and Exciter Test (유한요소법과 가진시험법을 이용한 다기능 5축 복합가공기의 동특성 해석 및 동적 컴플라이언스 평가에 관한 연구)

  • Jang, Sung-Hyun;Choi, Young-Hyu;Ha, Jong-Sik
    • Transactions of the Korean Society of Machine Tool Engineers
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    • v.18 no.2
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    • pp.162-169
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    • 2009
  • This paper describes a study on dynamic characteristics analysis and dynamic compliance evaluation of a 5-axis multi-tasking machine tool of ram-head type. Structural dynamics analysis and evaluation are necessary to machine tool design and development to secure good machine tool performance against tough and harsh machining conditions. In this study, natural frequencies and corresponding vibration modes of the machine tool structure were analyzed by using both F.E.M. modal analysis and impulse hammer test. Furthermore, dynamic compliance of the machine tool was analyzed by using F.E.M. and also measured by using a hydraulic exciter test. Both the theoretical analysis and experimental test results showed good agreement with each other.

Non-linear incidental dynamics of frame structures

  • Radoicic, Goran N.;Jovanovic, Miomir Lj.;Marinkovic, Dragan Z.
    • Structural Engineering and Mechanics
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    • v.52 no.6
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    • pp.1193-1208
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    • 2014
  • A simulation of failures on responsible elements is only one form of the extreme structural behavior analysis. By understanding the dynamic behavior in incidental situations, it is possible to make a special structural design from the point of the largest axial force, stress and redundancy. The numerical realization of one such simulation analysis was performed using FEM in this paper. The boundary parameters of transient analysis, such as overall structural damping coefficient, load accelerations, time of load fall and internal forces in the responsible structural elements, were determined on the basis of the dynamic experimental parameters. The structure eigenfrequencies were determined in modal analysis. In the study, the basic incidental models were set. The models were identified by many years of monitoring incidental situations and the most frequent human errors in work with heavy structures. The combined load models of structure are defined in the paper since the incidents simply arise as consequences of cumulative errors and failures. A feature of a combined model is that the single incident causes the next incident (consecutive timing) as well as that other simple dynamic actions are simultaneous. The structure was observed in three typical load positions taken from the crane passport (range-load). The obtained dynamic responses indicate the degree of structural sensitivity depending on the character of incident. The dynamic coefficient KD was adopted as a parameter for the evaluation of structural sensitivity.

Dynamic Analysis of a Vehicle with Suspension Superelement Technique (서스팬션 슈우퍼엘리먼트 기법을 이용한 자동차의 동력학적 해석)

  • 정창모;유완석
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.12 no.3
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    • pp.450-456
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    • 1988
  • Dynamic analysis of a vehicle is carried out with rigid body and flexible body models. The chassis of the vehicle is treated as flexible body in the flexible body model, and vibration normal modes are considered to account for elastic deformation of the component. Using output from the modal analysis in the finite element program, input data for the dynamic analysis with flexible body is generated. To achieve the computational efficiency, SUPERELEMENT technique is used for the vehicle suspension subsisted. The computer simulation time with suspension superelement was much reduced due to the reduction of coordinates and no kinematic constraint in the system.