• Title/Summary/Keyword: modes of vibration

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Analysis on the cascade high power piezoelectric ultrasonic transducers

  • Lin, Shuyu;Xu, Jie
    • Smart Structures and Systems
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    • v.21 no.2
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    • pp.151-161
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    • 2018
  • A new type of cascade sandwiched piezoelectric ultrasonic transducer is presented and studied. The cascade transducer is composed of two traditional longitudinally sandwiched piezoelectric transducers, which are connected together in series mechanically and in parallel electrically. Based on the analytical method, the electromechanical equivalent circuit of the cascade transducer is derived and the resonance/anti-resonance frequency equations are obtained. The impedance characteristics and the vibrational modes of the transducer are analyzed. By means of numerical method, the dependency of the resonance/anti-resonance frequency and the effective electromechanical coupling coefficient on the geometrical dimensions of the cascade transducer are studied and some interesting conclusions are obtained. Two prototypes of the cascade transducers are designed and made; the resonance/anti-resonance frequency is measured. It is shown that the analytical resonance/anti-resonance frequencies are in good agreement with the experimental results. It is expected that this kind of cascade transducer can be used in large power and high intensity ultrasonic applications, such as ultrasonic liquid processing, ultrasonic metal machining and ultrasonic welding and soldering.

Simplified analysis method for anti-overturning of single-column pier girder bridge

  • Liang Cao;Hailei Zhou;Zhichao Ren
    • Structural Engineering and Mechanics
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    • v.91 no.4
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    • pp.403-416
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    • 2024
  • The single-column pier girder bridge, due to its low engineering cost, small footprint, and aesthetic appearance, is extensively employed in urban viaducts and interchange ramps. However, its structural design makes it susceptible to eccentric loads, flexural-torsional coupling effects, and centrifugal forces, among others. To evaluate its anti-overturning performance reasonably, it is crucial to determine the reaction force of the support for the single-column pier girder bridge. However, due to the interaction between vehicle and bridge and the complexity of vibration modes, it poses a significant challenge to analyze the theory or finite element method of single-column pier girder bridges. The unit load bearing reaction coefficient method is proposed in this study to facilitate the static analysis. Numerous parameter analyses have been conducted to account for the dynamic amplification effect. The results of these analyses reveal that the dynamic amplification factor is independent of road surface roughness but is influenced by factors such as the position of the support. Based on parameter analysis, the formula of the dynamic amplification factor is derived by fitting.

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.

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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Design and Verification of Satellite Attitude Control system for Roll Maneuver (인공위성의 Roll축 자세제어시스템 설계 및 검증)

  • 김희섭;김기석;안재명;김유단;최완식
    • Journal of Institute of Control, Robotics and Systems
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    • v.5 no.3
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    • pp.370-378
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    • 1999
  • KOMPSAT is a three-axis stabilized light weight satellite, and one of the main mission objectives of the KOMPSAT is to conduct scientific and technological analysis in the areas of high resolution imaging and ocean color imaging. This kind of mission requires the satellite to roll up to 45 degrees. Bang-bang control for this rolling maneuver may activate the flexible modes, and therefore cause satellite pointing performance degradation. To deal with this problem, the roll attitude control system, especially for the science mode and maneuver mode of the KOMPSAT, is first verified by numerical simulation. And the open-loop control law for roll maneuver is proposed by use of series expansion and optimization. The proposed control law is applied to KOMPSAT to see its effectiveness.

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A Study on Dynamic Characteristics of Rotor with Flywheel (慣性車 를 가진 回轉子 의 動特性 에 관한 硏究)

  • 허용정;김병구;이장무
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.7 no.2
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    • pp.186-192
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    • 1983
  • The purpose of this study is to determine the general frequency expression for a rotating shaft of uniform cross section, supported by two bearings, and carrying flywheel at the free end. The bearing spacing and the ratio of the weight of flywheel to the total distributed weight are used as parameters. The data have thus been reduced to dimensionless form so that the results are generally applicable for this type of rotor. Frequencies for the first three modes of vibration are determined. Experimental investigation with rotor/flywheel model confirmed the critical speed frequencies lie between analytical models with simply supported-simply supported boundary conditions and spring supported-spring supported boundary conditions.

Modal Synthesis Method Using Interpolated Rotational DOF (회전자유도 보간에 의한 모드합성법)

  • 장경진;지태한;박영필
    • Journal of KSNVE
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    • v.5 no.4
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    • pp.503-514
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    • 1995
  • In the case of performing experimental modal analysis(EMA) and finite- element analysis(EFA) for a whole structure of automotive body that is composed of many complex parts, a trouble may arise from the calculation time, the capacity of memory in computers and the experimental conditions, etc. In this paper, for the vibrational analysis of automotive body model, the efficient modal synthesis method by means of dividing the whole structure into two parts and performing EMA and FEA for each part is studied. In addition, the method based on Lagrange interpolation is proposed for approximating rotational degrees-of-freedom information and linking FEA with EMA. In result, by measuring translational degrees-of-freedom information of only few points and adopting only few modes, the linking method based on Lagrange interpolation turned out to be efficient and accurate in the low frequency range.

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Analysis of a Panel Contribution of a Vehicle Compartment Using the Acoustic Reciprocal Theorem (음향 상호성 이론을 이용한 승용차 차실 판넬의 기여도 해석)

  • Kim, M.G.;Park, T.W.;Lee, S.H.
    • Transactions of the Korean Society of Automotive Engineers
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    • v.2 no.2
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    • pp.59-72
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    • 1994
  • For a panel contribution of the passenger vehicle compartment, a model was created for acoustic analysis of the passenger vehicle compartment and through the acoustic normal modal analysis, frequencies and mode shapes of the resonance modes were calculated. Also, the contribution analysis of each panel was executed using acoustic reciprocal theorem, and through this analysis, normalized responses at the particular point indicate the relative contribution of each panel for generating noise and vibration

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Dynamic deformation behavior of rubber and brass under high strain rate compressive loading (고변형률 속도 압축 하중 하에서의 고무와 황동의 동적 거동 특성)

  • 이억섭;김경준;이종원
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2003.06a
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    • pp.1491-1494
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    • 2003
  • A specific experimental method, the Split Hopkinson Pressure Bar (SHPB) technique has been widely used to determine the dynamic material properties under the impact compressive loading conditions with strain-rate of the order of 103/s∼104/s. This type of test procedure has been used to examine the dynamic response of materials in various modes of testing. In this paper, dynamic deformation behaviors of rubber materials widely used for the isolation of vibration from varying structures under dynamic loading are determined using a Split Hopkinson Pressure Bar technique.

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Driving Characteristic of Ultrasonic Linear Motor With V-type (V-형 선형 초음파 모터의 구동 특성)

  • Jeong, Seong-Su;Park, Tae-Gone
    • Journal of the Korean Institute of Electrical and Electronic Material Engineers
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    • v.20 no.5
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    • pp.425-429
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    • 2007
  • A linear ultrasonic motor was designed by a combination of the longitudinal and bending mode. linear ultrasonic motors are based on an elliptical motion on the surface of elastic body, such as bar or plates. The corresponding eigen-mode of one resonance frequency can be excited twice at the same time with a phase shift of 90 degrees in space and time. That is excite symmetric and anti-symmetric modes. Then it determines the thrust and speed of the motor. Linear ultrasonic motors are investigated experimentally in according to be fabricated a general classification to motor structure and material characteristic. There was the first to simulate as use of finite element analysis ANSYS 9.0. The AL-T2W8-ARM14-LEG18-ANGLE80 motor has a maxim efficiency 18 % under the speed 0.14 m/s, thrust 345 gf and preload 280 gf, operating frequency is 57.6 kHz.