• Title/Summary/Keyword: mode shape and natural frequency

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Rotating Shaft Vibration Analysis of 200 kW, 15,000 rpm 3 Phase Induction Motor (200 kW급 15,000 rpm 3상 유도전동기의 회전축 진동해석)

  • Hong, D.K.;Koo, D.H.;Woo, B.C.;Hong, S.S.;Kwon, Y.S.;Kang, H.C.;Ahn, C.W.
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2006.05a
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    • pp.262-265
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    • 2006
  • The purpose of this study is to design 200 kW, 15,000 rpm 3 phase induction motor. This research deals with natural frequency and mode shape of rotating shaft of 3 phase induction motor with bearing stiffness by finite element analysis. We present natural frequency characteristic variation of rotating shaft according to change bearing stiffness. Also we are verified stability of rotating shaft from backward and forward critical speed by campbell diagram.

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Fretting-wear Characteristics of Steam Generator Helical Tubes (증기발생기 나선형 전열관의 프레팅 마모 특성)

  • Jong Chull Jo;Woong Sik Kim;Hho Jung Kim;Tae Hyung Kim;Myung Jo Jhung
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.14 no.4
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    • pp.327-335
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    • 2004
  • This study investigates the safety assessment of the potential for fretting-wear damages caused by foreign object in operating nuclear power plants. To get the natural frequency, corresponding mode shape and participation factor, modal analyses are performed for the helical type tubes with various conditions. The wear rate of helical type tube caused by foreign object is calculated using the Archard formula and the remaining life of the tube is predicted, and discussed in this study is the effect of the vibration of the tube on the remaining life of the tube. In addition, addressed is the effect of the external pressure on the vibration and fretting-wear characteristics of the tube.

Free vibration analysis of continuous bridge under the vehicles

  • Tan, Guojin;Wang, Wensheng;Jiao, Yubo;Wei, Zhigang
    • Structural Engineering and Mechanics
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    • v.61 no.3
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    • pp.335-345
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    • 2017
  • Free vibration analysis for continuous bridge under any number of vehicles is conducted in this paper. Calculation strategy for natural frequency and mode shape is proposed based on Euler-Bernoulli beam theory and numerical assembly method. Firstly, a half-car planar model is adopted; equations of motion and displacement functions for bridge and vehicle are established, respectively. Secondly, the undermined coefficient matrices for wheels, vehicles, intermediate support, left-end support and right-end support are derived. Then, the numerical assembly technique for conventional finite element method is adopted to construct the overall matrix of coefficients for whole system. Finally, natural frequencies and corresponding mode shapes are determined based on iterative method and overall matrix solution. Numerical simulation is presented to verify the effectiveness of the proposed method. The results reveal that the solutions of present method are exact ones. Natural frequencies and associate modal shapes of continuous bridge under different conditions of vehicles are investigated. The influences of vehicle parameters on natural frequencies are also demonstrated.

A Study on Vibration Characteristic of Thin Plate in Crack Propagation by Laser Holography Method (Laser Holography 기법에 의한 균열 박판의 결함 진전에 따른 진동 특성에 관한 연구)

  • Kim, In-Gwon;Kim, Koung-Suk;Yoon, Sung-Un;Kang, Ki-Soo
    • Journal of the Korean Society for Precision Engineering
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    • v.17 no.10
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    • pp.200-205
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    • 2000
  • This paper presents the vibration characteristics of a rectangular plate with 45$^{\circ}$oblique crack and a smooth plate subjected to a uniaxial tension. The experiment is adopted by the time-average holography method. The natural frequency and mode shape are considered accurate according to the increasement of tensile load in the study. When tensile load is zero, the vibration modes are almost agreed with the smooth and the 45$^{\circ}$obliquely cracked plate. But since then, according to the increasement of load, it is shown that vibration modes are extremely varied. The effects of the crack length in the vibration characteristic are discussed in detail. It is indicated that the increase of the crack length makes the variation of the frequencies and modes complicate in the range of even a small load.

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Estimation of Flow-induced Vibration characteristics on Plugged Steam Generator (관막음된 증기발생기 전열관의 유체유발진동 특성 평가)

  • Cho, Bong-Ho;Ryu, Ki-Wahn;Park, Chi-Yong;Park, Su-Ki
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2002.11b
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    • pp.921-926
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    • 2002
  • In this study, we investigate the plugging effect on the CE type steam generator tube. The natural frequency and mode shape will be changed due to decrease of the effective mass distribution along the tube. We compared the variation of stability ratio for plugged tube with that for unplugged one. The natural frequency increased because of removing the cooling water inside the steam generator tube, but the stability ratio decreased inversely because of changing the vibrational model shape. We also investigated the turbulent excitation effect.

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Stator Displacement Analysis of Switched Reluctance Motor Due to Electromagnetic Force According to Switching (스위칭에 따른 전자기 가진력에 의한 스위치드 릴럭턴스 전동기의 고정자 변위해석)

  • Ha, Gyeong-Ho;Hong, Jeong-Pyo;Kim, Gyu-Tak
    • The Transactions of the Korean Institute of Electrical Engineers B
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    • v.49 no.1
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    • pp.20-26
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    • 2000
  • This paper deals with the modal analysis and the displacement of stator due to electromagnetic forces in Switched Reluctance Motor(SRM). A free-free model of the stator based on structural 3-dimensional Finite Element Method(FEM) is used for investigation the natural frequencies and the mode shapes of the stator. In addition, The displacement caused by magnetic force acting on stator pole is analyzed by the structural FEM coupled with the magnetic force. From these results, the resonance speed is obtained by the relation of the natural frequencies of the harmonic frequencies of magnetic force. And, the eccentricity with respect to rotor is predicted from the analysis result of the mechanical displacement of stator. The natural frequencies of stator are compared with experimental ones measured by modal testing.

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Design of a Ultrasonic Cutting-tool Utilizing Resonance Condition of Transverse Vibration of Beam Type Structure (보의 횡진동 공진특성을 이용한 초음파 진동절삭공구 설계)

  • Byun, Jin-Woo;Han, Sang-Bo
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.21 no.8
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    • pp.720-725
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    • 2011
  • Most ultrasonic vibration cutting tools are operated at the resonance condition of the longitudinal vibration of the structure consisting of booster, horn and bite. In this study, a transverse vibration tool with beam shape is designed to utilize the vibration characteristics of the beam. Design point of the transverse vibration tool is to match the resonance frequency of the bite to the frequency of the signal to excite the piezoelectric element in the booster. The design process to match the natural frequency of the longitudinal vibration mode of the horn and that of the transverse vibration mode of the bite is presented. Dimensions of the horn and bite are searched by trend analysis through which the standard shapes of the horn and bite are determined. After the dimensions of each component of the cutting tool consisting of booster, horn and bite are determined, the assembled structure was experimentally tested to verify that true resonant condition is achieved and proper vibrational displacement are obtained to ensure that enough cutting force is generated.

On the natural frequencies and mode shapes of a multiple-step beam carrying a number of intermediate lumped masses and rotary inertias

  • Lin, Hsien-Yuan;Tsai, Ying-Chien
    • Structural Engineering and Mechanics
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    • v.22 no.6
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    • pp.701-717
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    • 2006
  • In the existing reports regarding free transverse vibrations of the Euler-Bernoulli beams, most of them studied a uniform beam carrying various concentrated elements (such as point masses, rotary inertias, linear springs, rotational springs, spring-mass systems, ${\ldots}$, etc.) or a stepped beam with one to three step changes in cross-sections but without any attachments. The purpose of this paper is to utilize the numerical assembly method (NAM) to determine the exact natural frequencies and mode shapes of the multiple-step Euler-Bernoulli beams carrying a number of lumped masses and rotary inertias. First, the coefficient matrices for an intermediate lumped mass (and rotary inertia), left-end support and right-end support of a multiple-step beam are derived. Next, the overall coefficient matrix for the whole vibrating system is obtained using the numerical assembly technique of the conventional finite element method (FEM). Finally, the exact natural frequencies and the associated mode shapes of the vibrating system are determined by equating the determinant of the last overall coefficient matrix to zero and substituting the corresponding values of integration constants into the associated eigenfunctions, respectively. The effects of distribution of lumped masses and rotary inertias on the dynamic characteristics of the multiple-step beam are also studied.