• Title/Summary/Keyword: vibration modes

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Eigenvalue Branches and Flutter Modes of Pipes with a Tip Mass Conveying Fluid (끝단질량을 갖는 송수관의 고유치 분기와 플러터 모드)

  • 류봉조;류시웅;빈산길언;임경빈
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2003.05a
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    • pp.665-669
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    • 2003
  • The paper deals with the relationship between the eigenvalue branches and the corresponding flutter modes of cantilevered pipes with a tip mass conveying fluid. Governing equations of motion are derived by extended Hamilton's principle, and the numerical scheme using finite element method is applied to obtain the discretized equations. The order of branches and unstable modes associated with flutter are defined in the stability maps of mass ratios of the pipe and the critical flow velocity. As a result, the relationship between the flutter related to the eigenvalue branches and the flutter modes are investigated thoroughly.

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Vibration Analysis of the Shaft-duplicate Disk System (축-이중 원판계의 진동해석)

  • Chun, Sang-Bok;Lee, Chong-Won
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.21 no.6
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    • pp.896-906
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    • 1997
  • The effect of duplicate flexible disks on the vibrational modes of a flexible rotor system is investigated by using an anlytical method based on the assumed modes method. The rotor model to be analyzed consists of duplicate disks on a flexible shaft. In modeling the system, centrifugal stiffening and disk flexibility effects are taken into account. To demonstrate the effectiveness of the method, a hard disk drive spindle system commonly used in personal computers and a simple flexible rotor system with two disks are selected as examples. In particular, the dynamic coupling between the vibrational modes of the shaft and the duplicate disks is investigated with the shaft rotational speed varied.

An Investigation into the Application of the Modal Analysis to the Calculation o Transverse Vibration Responses of Ship Hulls (선체횡진동응답(船體橫振動應答)의 Model Analysis에 관한 고찰(考察))

  • S.B.,Han;K.C.,Kim
    • Bulletin of the Society of Naval Architects of Korea
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    • v.21 no.2
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    • pp.29-34
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    • 1984
  • The degree of deviation from the orthogonality relations of the actual ship's natural modes and its effects on the vibration responses are numerically investigated. The results show that, for the practical application of the modal analysis, it is not an essential requirement in utilization of the expansion theorem to assume the added mass being constant regardless of the mode shapes, or to take the dry hull's natural modes. That is, it is more reasonable to take the actual ships natural modes as the set of the normal modes and to get the solution of the normal coordinates equation by neglecting both the inertia coupling and the stiffeness coupling.

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Modified Modal Methods for Sensitivity Analysis of Asymmetric Damped System (비대칭 감쇠 시스템의 민감도 해석을 위한 개선된 모드법)

  • Moon, Yeong-Jong;Jo, Ji-Seong;Oh, Ju-Won;Lee, In-Won
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2004.11a
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    • pp.530-533
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    • 2004
  • 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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Vibration Control of Beam using Distributed PVDF Sensor and PZT Actuator (분포형 압전필름 감지기와 압전세라믹 작동기를 이용한 보의 진동 제어)

  • 유정규;박근영;김승조
    • Journal of KSNVE
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    • v.7 no.6
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    • pp.967-974
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    • 1997
  • Distributed piezoeletric sensor and actuator have been designed for efficient vibration control of a cantilevered beam. Both PZT and PVDF have been used in this study, the former as an actuator and the latter as a sensor for the integrated structure. We have optimized the position and the size of the PZT actuator and the electrode shape of the PVDF sensor. Finite element method is used to model the structure and the optimized actuators, we have designed the active electrode width of the PVDF sensor along the span of the beam. Actuator design is based on the criterion of minimizing the system energy in the control modes under a given initial condition. Model control forces for the residual (uncontrolled) modes have been minimized during the sensor design to minimize the observation spill-over. Genetic algorithm and sequential quadratic programming technique have been utilized as an optimization scheme. Discrete LQG control law has been applied to the integrated structure for real time vibration control. Performance of the sensor, the actuator, and the integrated smart structure has been demonstrated by experiments.

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Dynamic Modeling and of Cylindrical Shell and Design of Active Vibration Controller (실린더 셀 구조물의 동적 모델링과 능동진동제어기 설계)

  • Jung, Moon-San;Bae, Byung-Chan;Kwak, Moon-K.
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2006.11a
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    • pp.451-456
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    • 2006
  • This paper is concerned with the dynamic modeling and controller design for a cylindrical shell equipped with MFC actuators. The dynamic model was derived by using Rayleigh-Ritz method based on Donnel-Mushtari shell theory. The actuator and sensors for the MFC actuator equations were derived based on pin-force model. The boundary conditions at both ends were assumed to be shear diaphragm. After calculating the natural vibration characteristics, the positive position feedback controller was designed to cope with the first two modes. To this end, the equations of motion were reduced to modal equations of motion by considering the modes of interest. The theoretical results show that vibrations can be successfully suppressed.

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Dynamic Modeling and of Cylindrical Shell and Design of Active Vibration Controller equipped with MFC actuators (MFC 작동기가 부착된 실린더 쉘 구조물의 동적 모델링과 능동 진동제어기 설계)

  • Bae, Byung-Chan;Song, Myung-Ho;Jung, Moon-San;Kwak, Moon-K.
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2007.05a
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    • pp.75-80
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    • 2007
  • This paper is concerned with the dynamic modeling and controller design for a cylindrical shell equipped with MFC actuators. The dynamic model was derived by using Rayleigh-Ritz method based on Donnel-Mushtari shell theory. The actuator and sensors for the MFC actuator equations were derived based on pinforce model. The boundary conditions at both ends were assumed to be shear diaphragm. After calculating the natural vibration characteristics, the positive position feedback controller was designed to cope with the first two modes. To this end, the equations of motion were reduced to modal equations of motion by considering the modes of interest. The theoretical results show that vibrations can be successfully suppressed.

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Free vibration and buckling analysis of the impacted hybrid composite beams

  • Ergun, Emin;Yilmaz, Yasin;Callioglu, Hasan
    • Structural Engineering and Mechanics
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    • v.59 no.6
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    • pp.1055-1070
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    • 2016
  • The aim of this experimental study is to investigate the free vibration and buckling behaviors of hybrid composite beams having different span lengths and orientation angles subjected to different impact energy levels. The impact energies are applied in range from 10 J to 30 J. Free vibration and buckling behaviors of intact and impacted hybrid composite beams are compared with each other for different span lengths, orientation angles and impact levels. In free vibration analysis, the first three modes of hybrid beams are considered and natural frequencies are normalized. It is seen that first and second modes are mostly affected with increasing impact energy level. Also, the fundamental natural frequency is mostly affected with the usage of mold that have 40 mm span length (SP40). Moreover, as the impact energy increases, the normalized critical buckling loads decrease gradually for $0^{\circ}$ and $30^{\circ}$ oriented hybrid beams but they fluctuate for the other beams.

Full Vehicle Model for Dynamic Analysis of a Large Vehicle with CTIS (CTIS를 장착한 대형차량의 동역학 해석 모델)

  • Song, Oh-Seop;Nam, Kyung-Mo
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.19 no.11
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    • pp.1144-1150
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    • 2009
  • Appropriate vibration model is required to predict in advance the vibration level of a large vehicle which carries sensitive electronic/mechanical equipments and drives often on the unpaved and/or off-road conditions. Central tire inflation system(CTIS) is recently adopted to improve the mobile operation of military and bulletproof vehicles. In this paper, full vehicle model(FVM) having 11 degrees of freedom and equipped with CTIS has been developed for a large vehicle which has $8\times8$ wheels$\times$driving wheels. Usability of the developed model is validated via road tests for three different modes (i.e. highway, country, and mud/sand/snow modes) and for various velocity conditions. The developed FVM can be used to predict the vibration level of the large vehicle as well as to determine the driving velocity criterion for different road conditions.

Development of NDIF Method for Highly Accurate Free Vibration Analysis of Arbitrarily Shaped Plates with Simply Supported Boundary Condition (단순 지지 경계 조건을 가진 임의 형상 평판의 고정밀도 자유 진동 해석을 위한 NDIF법 개발)

  • Kang, Sang-Wook;Woo, Yoon-Hwan
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.21 no.2
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    • pp.186-193
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    • 2011
  • The NDIF method(non-dimensional dynamic influence function method) for free vibration analysis of arbitrarily shaped plates with the simply supported edge is newly developed in the paper. In order to extract the system matrix that gives the natural frequencies and natural modes of the plate of interest, the difficulty of measuring higher differential terms involved in the simply supported boundary condition is successfully overcome. Finally, the excellence of the characteristics of convergence and accuracy of the proposed method is shown through two verification examples, which indicate that natural frequencies and natural modes obtained by the proposed method are very accurate and swiftly converged even though a small number of nodes are used compared with FEM.