• Title/Summary/Keyword: Harmonic vibration mode

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Nonlinear Vibration Phenomenon for the Slender Rectangular Cantilever Beam (얇은 직사각형 외팔보의 비선형 진동현상)

  • Park, Chul-Hui;Cho, Chong-Du;Piao, Chang-Hao
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.14 no.12
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    • pp.1314-1321
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    • 2004
  • The non-linear responses of a slender rectangular cantilever beam subjected to lateral harmonic base-excitation are investigated by the 2-channel FFT analyzer. Both linear and nonlinear behaviors of the cantilever beam are compared with each other. Bending mode, torsional mode, and transverse mode are coupled in such a way that the energy transfer between them are observed. Especially, superharmonic, subharmonic, and chaotic motions which result from the unstable inertia terms in the transverse mode are analyzed by the FFT analyzer The aim is to give the explanations of the route to chaos, i.e., harmonic motion \longrightarrow superharmonic motion \longrightarrow subharmonic motion \longrightarrow chaos.

Effect Investigation of Resonance by Harmonic Components on Structures with Velocity Seismoprobes in a Turbine Rotor System (속도계가 부착된 구조물에서 조화성분의 공진이 미치는 영향 고찰)

  • Yang, Kyeong-Hyeon;Cho, Chul-Whan;Bae, Chun-Hee;Song, Oh-Seop
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2005.11a
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    • pp.98-102
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    • 2005
  • Most bearing casings are designed to focus on strength and weight of themselves because rotor speed passes through the critical speed when operation begins in large plants such as power plants. And It is treated importantly the relation between rotating frequency of the rotor and the natural frequency of casings to prevent resonance. But there is some cases that it is overlooked for harmonic components above rotating frequency. So we present experimentally a case that harmonic forces may make a resonance on casing fixing probes to measure vibration in a turbine-generator system and the vibration is generated when one component of harmonic forces excites the mode that the natural frequency of a certain bearing casing is close to one of harmonics of basic rotating frequency (1x).

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A Study on Particle Displacement Distributions of Energy-trapped Piezoelectric Resonators and Filters Utilizing the Harmonic Modes (고차진동을 이용하는 에너지포획형 압전 공진자와 필터의 변위분포에 관한 연구)

  • 이개명
    • Journal of the Korean Institute of Electrical and Electronic Material Engineers
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    • v.11 no.11
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    • pp.954-962
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    • 1998
  • Energy-trapped thickness vibrations of piezoelectric substrates are utilized in fabricating resonators and filters which have their operating frequencies in HF band. Normalized particle displacement distributions of the fundamental thickness shear vibration mode and overtone modes into the thickness direction in energy-trapped resonators and double-coupled filters were obtained by solving the wave equation and calculating the solved equations. These results show that as the number order of the harmonic mode in a energy-trapped resonator becomes larger, the degree of energy-trapping in the resonator increase, and if the conditions for energy-trapping become sufficiently weak, the energy-trapping effect of the harmonic mode which has the lower order disappears the earlier. Above simulation results were proved by the experiments.

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The Study of the Harmonic Currents Effects on the Transformer Vibration (고조파 전류가 변압기 진동에 미치는 영향에 관한 연구)

  • Kim, Su-Yeol;Kim, Yeon-Whan;Kim, Jang-Mok;Lim, Ik-Hun;Lee, Hyun
    • Journal of the Korean Society of Safety
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    • v.15 no.1
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    • pp.106-111
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    • 2000
  • EP(Electrostatic Precipitator) has been used to keep the natural environment from fly-ash in the industrial fields and operated in intermittent PEC(Pulse Energized Control) mode to improve dust-collecting efficiency. Intermittent PEC mode induces low-frequency harmonic currents into power system, therefore EP transformer vibrates. This continuous transformer vibration developes transformer abnormal audio-noise and if it is too much or operates in the region of natural frequency, transformer will be damaged in the end. EP interruption caused by transformer damage results in power generation stopped, power quality down and economic loss. Therefore, this paper explains harmonic currents and transformer vibration-core vibration, winding vibration, and proposes the measures of suppressing the vibration with EP operated in intermittent PEC mode. And this results is proposed to be used for future EP transformer design or EP control method to operate EP-concerned equipment safely keeping from system faults caused by transformer vibration.

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Output-only modal parameter identification for force-embedded acceleration data in the presence of harmonic and white noise excitations

  • Ku, C.J.;Tamura, Y.;Yoshida, A.;Miyake, K.;Chou, L.S.
    • Wind and Structures
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    • v.16 no.2
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    • pp.157-178
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    • 2013
  • Output-only modal parameter identification is based on the assumption that external forces on a linear structure are white noise. However, harmonic excitations are also often present in real structural vibrations. In particular, it has been realized that the use of forced acceleration responses without knowledge of external forces can pose a problem in the modal parameter identification, because an external force is imparted to its impulse acceleration response function. This paper provides a three-stage identification procedure as a solution to the problem of harmonic and white noise excitations in the acceleration responses of a linear dynamic system. This procedure combines the uses of the mode indicator function, the complex mode indication function, the enhanced frequency response function, an iterative rational fraction polynomial method and mode shape inspection for the correlation-related functions of the force-embedded acceleration responses. The procedure is verified via numerical simulation of a five-floor shear building and a two-dimensional frame and also applied to ambient vibration data of a large-span roof structure. Results show that the modal parameters of these dynamic systems can be satisfactorily identified under the requirement of wide separation between vibration modes and harmonic excitations.

VIBRATION ANALYSIS OF FBGA SOLDER JOINTS OF THE MEMORY MODULE SUBJECTED TO HARMONIC EXCITATION

  • Cinar, Yusuf;Jang, Jin-Woo;Jang, Gun-Hee;Kim, Seon-Sik;Jang, Jae-Seok;Chang, Jin-Kyu
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2010.05a
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    • pp.572-573
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    • 2010
  • Vibration analysis of Fine-pitch Ball Grid Array (FBGA) packages mounted on a Printed Circuit Board (PCB) subjected to harmonic excitation is performed by using finite element method (FEM). A finite element model of a memory module is composed of three main parts, packages, simplified solder balls and bare PCB. At first, natural frequencies and mode shapes of the developed model were confirmed experimentally. Secondly, the harmonic excitation experiment for the module was carried out at the first natural frequency of the memory module, and it was verified with the simulation by using mode superposition method at a constant acceleration.

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Harmonic and Power Factor Compensation Using WRIM Based on Sliding Mode Controller (슬라이딩 모드제어기와 권선형 유도전동기를 이용한 고조파 및 역률보상)

  • Kim Seung-Mo;Kim Yoon-Ho
    • Proceedings of the KIPE Conference
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    • 2002.11a
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    • pp.7-11
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    • 2002
  • This paper proposes an APF(Active Power Filter) with WRIM(Wounded Rotor Induction Motor) controlled by sliding mode which can compensate harmonic currents generated in a power system. As non-linear loads increase gradually in industry fields, harmonic current generated In the electric power network system also increases. Harmonic current makes a power network current distorted and generates heat, vibration and noise In the power machinery, Many approaches have been applied to compensate harmonic currents generated in the power system. Among various control strategy, in this paper, a sliding mode controlled systems is designed and evaluated. This is a flywheel compensator based on secondary excitation of WRIM(wounded rotor induction motor) with SMC(sliding mode controller). The proposed system uses a flywheel as an energy storage device. The designed control scheme is verified through simulation.

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Harmonic analysis of moderately thick symmetric cross-ply laminated composite plate using FEM

  • Narwariya, Manoj;Choudhury, Achintya;Sharma, Avadesh K.
    • Advances in Computational Design
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    • v.3 no.2
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    • pp.113-132
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    • 2018
  • This paper presents the vibration and harmonic analysis of orthotropic laminated composite plate. The response of plate is determined using Finite Element Method. The eight noded shell 281 elements are used to analyze the orthotropic plates and results are obtained so that the right choice can be made in applications such as aircrafts, rockets, missiles, etc. to reduce the vibration amplitudes. Initially the model response for orthotropic plate and harmonic response for isotropic plate is verified with the available literature. The results are in good agreement with the available literature. Numerical results for the natural frequency and harmonic response amplitude are presented. Effects of boundary conditions, thickness to width ratio and number of layers on natural frequency and harmonic response of the orthographic plates are also investigated. The natural frequency, mode shape and harmonic analysis of laminated composite plate has been determined using finite element package ANSYS.

A Study on Mathematical Modeling of Forcing Function for the Piping Vibration of Petrochemical Plant Design (플랜트 설계 시 배관진동을 유발하는 가진 함수의 수학적 모델링)

  • 민선규;최명진
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1997.10a
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    • pp.591-595
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    • 1997
  • In analysis of piping vibration of petrochemical plant, the forcing functions mainly depend upon the equipment working mechanism and vibration resources in the piping systems. In general, harmonic function is used for the system with rotary equipments. Mechanical driving frequencies, wave functions, and response spectrum are used for reciprocating compressors, surge vibration of long transfer piping, and seismic/wind vibration, respectively. In this study, for the spray injection case inside the pipe, forcing function was modeled, in which two different fluids are distributed uniformly. To confirm the results, the scheme used for the forcing function was applied for real piping system. The vibration mode of the real system was consistent with the 4th mode obtained by simulation using the forcing function formulated in this study.

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A Simulation of Forcing Function for the Piping Vibration in Petrochemical Plants (석유화학 플랜트에서 배관 가진 함수의 시뮬레이션에 관한 연구)

  • 민선규;최명진;김경훈
    • Journal of the Korea Society for Simulation
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    • v.10 no.4
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    • pp.1-10
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    • 2001
  • For the simulation of piping vibrations in petrochemical plants, forcing functions mainly depend upon the equipment working mechanism and vibration resources in the piping systems. In general, harmonic function is used to simulate rotary equipment. Mechanical driving frequencies, wave functions, and response spectrum are used to simulate reciprocating compressors, surge vibration of long transfer piping, and seismic/wind vibration, respectively. In this study, the general suggestions for forcing functions were reviewed and proposed the forcing function to simulate the spray injection system inside the pipe in which two different fluids are distributed uniformly. To confirm the results, the scheme was applied for a real piping system. The vibration mode of the real system was consistent with the 4th mode (26.725 Hz) obtained by simulation using the forcing function presented in this study.

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