• Title/Summary/Keyword: vibration modes

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Effects of geometric parameters on in-plane vibrations of two-stepped circular beams

  • Tufekci, Ekrem;Yigit, Oznur Ozdemirci
    • Structural Engineering and Mechanics
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    • v.42 no.2
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    • pp.131-152
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    • 2012
  • In-plane free vibrations of circular beams with stepped cross-sections are investigated by using the exact analytical solution. The axial extension, transverse shear deformation and rotatory inertia effects are taken into account. The stepped arch is divided into a number of arches with constant cross-sections. The exact solution of the governing equations is obtained by the initial value method. Several examples of arches with different step ratios, different locations of the steps, boundary conditions, opening angles and slenderness ratios for the first few modes are presented to illustrate the validity and accuracy of the method. The effects of the geometric parameters on the natural frequencies are investigated in details. Several examples in the literature are solved and the results are given in tables. The agreement of the results is good for all examples considered. The mode transition phenomenon is also observed for the stepped arches. Some examples are solved also numerically by using the commercial finite element program ANSYS.

Model-based sliding mode tracking control of 6-6 Stewart platform manipulator

  • Lee, Chong-Won;Kim, Nag-In
    • 제어로봇시스템학회:학술대회논문집
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    • 1997.10a
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    • pp.772-775
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    • 1997
  • A high speed tracking control for 6-6 Stewart platform manipulator is performed by employing the joint-axis sliding mode control based on dynamics. Because of the complex dynamics and kinematics of Stewart platform manipulator, two computer systems, consisting of a PC and a DSP, are adopted, so that real time tasks are run in synchronous and asynchronous modes. It is experimentally proven that the proposed control system leads to an easy to implement and effective control task, and it can achieve the high performance tracking control under the high speed and severe payload condition.

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Effective mode shapes of multi-storey frames subjected to moving train loads

  • Demirtas, Salih;Ozturk, Hasan
    • Coupled systems mechanics
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    • v.9 no.4
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    • pp.311-323
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    • 2020
  • This paper deals with the effect of the mode shapes on the dynamic response of a multi-storey frame subjected to moving train loads which are modelled as loads of constant intervals with constant velocity using the finite element method. The multi-storey frame is modelled as a number of Bernoulli-Euler beam elements. First, the first few modes of the multi-storey frame are determined. Then, the effects of force span length to beam length ratio and velocity on dynamic magnification factor (DMF) are evaluated via 3D velocity-force span length to beam length ratio-DMF graphics and its 2D projections. By using 3D and 2D graphics, the directions of critical speeds that force the structure under resonance conditions are determined. Last, the mode shapes related to these directions are determined by the time history and frequency response graphs. This study has been limited by the vibration of the frame in the vertical direction.

Response of orthotropic Kelvin modeling for single-walled carbon nanotubes: Frequency analysis

  • Hussain, Muzamal;Naeem, Muhammad N.;Tounsi, Abdelouahed
    • Advances in nano research
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    • v.8 no.3
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    • pp.229-244
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    • 2020
  • In this paper, modified Kelvin's model has been used to analyze the orthotropic vibration frequencies of single walled carbon nanotubes with clamped-clamped and clamped-free boundary conditions. For this system the governing equation is developed with wave propagation approach. Armchair, zigzag and chiral structures are considered for the vibrational analysis to investigate the effect of different modes, in-plane rigidity and mass density per unit lateral area. Throughout the computations, on decreasing the length-to-diameter ratios, the frequencies of said structure increases. In addition, by increasing three different value of in-plane rigidity resulting frequencies also increase and frequencies decrease on increasing mass density per unit lateral area. The results generated using computer software MATLAB to furnish the evidence regarding applicability of present model and also verified by available published literature.

Dynamic Analysis of Automotive Belt Drive Systems (자동차 동력전달용 일체 벨트구동계의 동특성 해석)

  • 오석일;송재수;김성원
    • Transactions of the Korean Society of Automotive Engineers
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    • v.4 no.6
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    • pp.109-120
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    • 1996
  • Serpentine belt drive system offers the advantages of light weigh, low cost, quientness, and efficiency. Since these belts are typically longer than conventional belts, a tensioner component is added to maintain acceptable belt tension levels and make no slippage between pulleys and belts. This paper addresses the modeling and analysis of the automotive belt drive systems and also addresses the predicton of slippage on rotational modes. Vibration characteristics are determined from the eigenvalue problem governing the free response. Under certain engine operating conditions, the dynamic tension fluctuations may be sufficient to cause the belt to slip on particular accessory pulleys, It is found that this slippage can be reduced by adding the tensioner component from the analysis of belt tension and belt compression.

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Substructure Synthesis Method using Dynamic Reduction (동축소법을 이용한 부분구조합성법)

  • 박석주;박성현;김성우
    • Journal of Advanced Marine Engineering and Technology
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    • v.24 no.1
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    • pp.82-87
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    • 2000
  • The component mode synthesis method(CMS) used for vibration analysis has demerit that error becomes larger, as degree of natural frequency grows higher. The reason of error occurrence is that Guyan's static reduction is used and the number of modes taken in each component is deficient. This paper proposes the substructure synthesis method using dynamic reduction to solve the problem from the component mode synthesis method. Computer simulation for the proposed method. FEM and the component mode synthesis method(CMS) on a rectrangular plate has been carried out to prove the avilability of the proposed method.

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Two Dimensional Vibration Analysis of Cranck Shaft by Using Transfer Matrix Method (전달매트릭스법을 이용한 크랭크축의 2차원 진동해석)

  • 김광식;오재응;김만복
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.15 no.2
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    • pp.455-462
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    • 1991
  • This paper present an analysis method of crankshaft of four cylinder internal combustion engine for studying dynamic characteristics of the shaft. For simple analysis, uniform sections of journal, pin and arm parts were assumed. Transfer Matrix Method was used, considering branched part and coordinate transformation part. Natural frequencies, natural modes and transfer functions of crank shaft were investigated based upon the Timosenko beam theory: It was shown that the calculated natural frequencies, modeshapes agree well with the experimental results.

Directional ARMAX Model-Based Approach for Rotordynamics Identification, Part 1 : Modeling and Analysis (방향 시계열에 의한 회전체 동특성 규명: (I) 모델링 및 해석)

  • 박종포;이종원
    • Journal of KSNVE
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    • v.8 no.6
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    • pp.1103-1112
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    • 1998
  • A new time series method, directional ARMAX (dARMAX) model-based approach. is proposed for rotor dynamics identification. The dARMAX processes complex-valued signals, utilizing the complex modal testing theory which enables the separation of the backward and forward modes in the two-sided frequency domain and makes effective modal parameter identification possible, to account for the dynamic characteristics inherent in rotating machinery. This paper is divided into two parts : The dARMAX modeling, analysis. and fitting strategy are presented in the first part. whereas a evaluation of its performance characteristics based on both simulated and experimental data is presented in the second.

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Active Control of Reaction Forces for Flexible Structures (유연 구조물의 능동 반력 제어기 설계)

  • 김주형
    • Journal of KSNVE
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    • v.11 no.1
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    • pp.68-75
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    • 2001
  • A method for actively controlling dynamic reaction forces in flexible structures subject to persistent excitations is presented. Since reaction forces are not directly measured in flexible structures, reaction forces are estimated by using the Kalman filter. The estimated reaction force is used as an error signal in the adaptive feedforward disturbance cancellation controller. In order to compensate the static effect of the truncated modes in the reaction forces, the residual flexibility matrix is used with the Kalman filter. The paper presents the formulation of the reaction forces in conjunction with the Kalman filter estimator and the adaptive feedforward controller. The results show that the dynamic reaction forces at its supports in a flexible beam test rir are well suppressed.

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Visual Servo Control of Slender Manipulators Using an Approximate Jacobian Operator (근사 자코비안 연산자를 이용한 경량 매니퓰레이터의 시각 서보 제어)

  • Lee, Ho-Gil;Kim, Jin-Young
    • Journal of Institute of Control, Robotics and Systems
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    • v.6 no.12
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    • pp.1086-1092
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    • 2000
  • To realize a visual servo control of slender manipulators, two problems to be solved are analysed. The stability problem on so-called noncolocation control and the infinite order problem of the real Jacobian matrix caused by the elastic deformation are discussed. By considering the dynamic relations between rigid and elastic modes, a Jacobian operator is derived and the physical meaning is also explained. Then, for practical control, a simple control scheme using an approximate Jacobian is proposed and its stable conditions are proven by means of the $L_$2$ stability theory. The scheme is structurally similar to the conventional PD control laws, but external sensors(e. g. visual sensor) are used for positioning and internal sensors for damping. A good performance is obtained via control experiments of a slender two link manipulator.

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