• Title/Summary/Keyword: Shaft vibration

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Vibration Analysis of Flexible Rotor Having a Breathing Crack (개폐균열이 존재하는 유연 회전체의 진동해석)

  • Jun, Oh-Sung
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.15 no.10 s.103
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    • pp.1137-1147
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    • 2005
  • The dynamic response due to the unbalance and crack and the quasi-static response due to gravity are analytically derived based on the complex transfer matrix. The additional slope is expressed as function of the bending moment at crack position based on the fracture mechanics concept, and inversely the bending moment is expressed as function of the additional slope at the crack Position. At each angle step during the shaft revolution, the additional slope and bending moment are calculated by an iterativemethod. The transient behavior is considered by introducing Fourier series expansion concept for the additional slope. Simulation is carried out for a simple rotor similar to those available in the literature and comparison of the basic crack behavior is shown. Using the additional slope, the cracked rotor behavior is explained with the crack depth increased: the magnitude of the additional slope increases and the closed crack duration during a revolution decreases as the crack depth increases. The direction of unbalance is also shown as a factor to affect the crack breathing. Whirl orbits are shown near the sub-critical speed ranges of the rotor.

Analysis of Magneto-rheological Fluid Based Semi-active Squeeze Film Damper and its Application to Unbalance Response Control of Rotor (자기유변유체를 이용한 반능동형 스퀴즈 필름 댐퍼의 해석 및 회전체 불균형 응답 제어)

  • Kim, Keun-Joo;Lee, Chong-Won
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.15 no.3 s.96
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    • pp.354-363
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    • 2005
  • Squeeze film dampers (SFDs) have been commonly used to effectively enhance the dynamic behavior of the rotating shaft supported by rolling element bearings. However, due to the recent trends of high operating speed, high load capacity and light weight in rotating machinery, it is becoming increasingly important to change the dynamic characteristics of rotating machines in operation so that the excessive vibrations, which may occurparticularly when passing through critical speeds or unstable regions, can be avoided. Semi-active type SFDs using magneto-rheological fluid (MR fluid), which responds to an applied magnetic field with a change in rheological behavior, are introduced in order to find its applications to rotating machinery as an effective device attenuating unbalance responses. In this paper, a semi-active SFD using MR fluid is designed, tested, and identified to investigate the capability of changing its dynamic properties such as damping and stiffness.In order to apply the MR-SFD to the vibration attenuation of a rotor, a systematic approach for determining the damper's optimal location is investigated, and also, a control algorithm that could improve the unbalance response characteristics of a flexible rotor is proposed and its control performance is validated with a numerical example.

A Study on the Vibration Analysis of an Automobile Steering System (승용차 스티어링 칼럼 시스템의 진동해석에 관한 연구)

  • 김찬묵;김도연
    • Journal of KSNVE
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    • v.8 no.3
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    • pp.494-503
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    • 1998
  • In this paper, in order to analyze dynamic characteristics of an automobile steering system consisting of many components, natural frequencies and transfer functions of each component and the total system are found on a FFT analyzer by experiments. Then, the data are transmitted to a commercial package program, CADA-PC. By analyzing the data, the mode shape of each natural frequency and damping values are obtained. Also, the function of a rubber coupling in column and telescoping effects on system are considered. C.A.E commercial programs are used to compare with the results of experiments. For the finite element modeling, I-DEAS is used. Data processing and post processing are operated on NASTRAN and XL, respectively. The ball-bearing and the linkage of shaft with column are modeled by spring element. Stiffness is modified from the results of experiments. The results of those show close agreement. In the mode shape of total system, wheel mode is dominant at lower frequency, while the column mode is main mode at higher. The role of rubber coupling in vibration isolation is clear on mode shape. Telescoping function makes natural frequency of column changed.

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Vibration suppression in high-speed trains with negative stiffness dampers

  • Shi, Xiang;Zhu, Songye;Ni, Yi-qing;Li, Jianchun
    • Smart Structures and Systems
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    • v.21 no.5
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    • pp.653-668
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    • 2018
  • This work proposes and investigates re-centering negative stiffness dampers (NSDs) for vibration suppression in high-speed trains. The merit of the negative stiffness feature is demonstrated by active controllers on a high-speed train. This merit inspires the replacement of active controllers with re-centering NSDs, which are more reliable and robust than active controllers. The proposed damper design consists of a passive magnetic negative stiffness spring and a semi-active positioning shaft for re-centering function. The former produces negative stiffness control forces, and the latter prevents the amplification of quasi-static spring deflection. Numerical investigations verify that the proposed re-centering NSD can improve ride comfort significantly without amplifying spring deflection.

Thermal Expansion Measurement of Turbine and Main Steam Piping by Using Strain Gages in Power Plants (스트레인게이지를 활용한 발전소 터빈 및 주증기 배관의 열팽창 측정)

  • Na, Sang-Soo;Chung, Jae-Won;Bong, Suk-Kun;Jun, Dong-Ki;Kim, Yun-Suk
    • Proceedings of the KSME Conference
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    • 2000.04b
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    • pp.886-891
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    • 2000
  • One of the domestic co-generation plants have undergone excessive vibration problems of turbine attributed to external force for years. The root cause of turbine vibration may be shan alignment problem which sometimes is changed by thermal expansion and external farce, even if turbine technicians perfectly performed it. To evaluate the alignment condition from plant start-up to full load, a strain measurement of turbine and main steam piping subjected to thermal loading is monitored by using strain gages. The strain gages are bonded on both bearing housing adjusting bolts and pipe stoppers which. installed in the x-direction of left-side main steam piping near the turbine inlet in order to monitor closely the effect of turbine under thermal deformation of turbine casing and main steam piping during plant full load. Also in situ load of constant support hangers in main steam piping system is measured by strain gages and its results are used to rebalance the hanger rod load. Consequently, the experimental stress analysis by using strain gages turns out to be very useful tool to diagnose the trouble and failures of not only to stationary components but to rotating machinery in power plants.

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Development of Rotordynamic Analytical Model and Analysis of Vibration Response of a Turbocharger (터보차져의 로터다이나믹 해석모델 개발 및 진동응답 해석)

  • Kim, Byung-Ok;Lee, An-Sung
    • The KSFM Journal of Fluid Machinery
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    • v.13 no.5
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    • pp.35-42
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    • 2010
  • This paper deals with the development of analytical model of a turbocharger and its detail rotordynamic analysis. Two analytical models, which are verified by experimental modal testing, are proposed and the analytical model including rotor shaft extended to compressor and turbine wheel end side is chosen. A rotordynamic analysis includes the critical map, Campbell diagram, stability, and unbalance response, especially nonlinear transient response considering nonlinear fluid film force at bearings. Although the linearized analysis accurately predicts the critical speeds, stability limit, and stability threshold speed, the predicted vibration results are not valid for speeds above the stability threshold speed since the rotor vibrates with a subsynchronous component much larger than the one synchronous with rotor speed. Hence, for operating speed above the stability threshold, a nonlinear transient analysis considering nonlinear fluid film force must be performed in order to accurately predict vibration responses of rotor and guarantee results of analysis.

Parametric Study for the Squeal Noise Reduction of an Automobile Water Pump (자동차용 워터펌프의 스퀼소음 저감을 위한 영향도분석)

  • Kim, B;Jung, W;Baek, H;Kang, D;Chung, J
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2013.04a
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    • pp.492-497
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    • 2013
  • In this study, a parametric study is performed to investigate the squeal noise of an automobile water pump. The squeal noise studied in this paper is generated by the self-excited torsional resonance of the rotating shaft, and this noise is related to the stick-slip phenomenon of the mechanical seal in the water pump. The mechanical seal friction has the characteristics of the negative velocity-gradient. The equations of motion of multiple-degree-of-freedom torsional vibration model is constructed by the Holzer's method and then the equation is transformed to an equivalent single-degree-of-freedom torsional resonance simulation model. A squeal noise criteria is determined by the simulation model to perform the parametric study. The design parameters(the mass moment of inertia of the pulley, the mass moment of inertia of the impeller, the length of the shafts, the radius of the shafts, spinning speed of the shafts, the position of the mechanical seal, radius of the mechanical seal, and normal load of the mechanical seal) are investigated to confirm the stability for the squeal noise.

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Design of Low Vibration Rotor Considering Bearing Support Stiffness (전동기 베어링 지지강성을 고려한 회전자 저진동 설계)

  • Woo, Sang-Pyo;Lim, Do-Hyeong;Kim, Won-Hyun
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2014.10a
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    • pp.311-313
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    • 2014
  • 전동기는 산업 전 분야에 걸쳐 다양하게 사용되는 회전기기로서, 소형화, 경량화, 고속화하는 추세에 있다. 이는 전동기 프레임의 구조강성을 약화시키고, 축계 위험속도를 낮춤으로써 진동에 취약한 구조를 가지게 된다. 회전체 진동 관련 규정 중 API 684 에서는 베어링 지지강성이 베어링 강성에 비해 3.5 배 이하인 경우 베어링 지지강성이 위험 속도 해석 모델에 포함되어야 함을 명시하고 있다. 산업 현장에서는 베어링 지지강성을 정확하게 산출하기 어려워 이를 고려하지 않고 회전체를 설계하는 경우가 많아 실제 조건에서 예측하지 못한 진동 문제가 발생할 가능성이 있다. 본 논문에서는 전동기 베어링 하우징 및 프레임에 대한 가진 시험을 통해 얻은 주파수 응답함수의 실수부를 분석하여 베어링 지지강성을 추출하는 방법을 제시하였다. 이를 바탕으로 유한요소 해석모델을 이용하여 베어링 지지강성을 해석적으로 예측하는 기법을 정립하였다. 추출된 베어링 지지강성을 축계 해석 모델에 포함하여 베어링 지지강성 포함 유무에 따른 축계 위험속도 및 안정성을 비교하였다. 그 결과 베어링 지지강성을 포함한 경우, 보다 정확한 위험속도 및 진동응답 수준을 예측할 수 있음을 확인하였다.

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Development of Dynamic Vibration Absorber to Reduce Unbalance Response in Flexible Rotor-Bearing System (탄성 회전체 베어링 계의 불균형 응답 저감을 위한 동흡진기 개발)

  • Yu, Tae-Gyu;Bae, Gyu-Hyun;Kim, Kil-Hwan;Hong, Seong-Wook
    • Journal of the Korean Society of Manufacturing Technology Engineers
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    • v.21 no.1
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    • pp.175-181
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    • 2012
  • This paper presents a novel dynamic vibration absorber (DVA) to suppress the unbalance response of flexible rotor-bearing systems. The DVA unit consists of two DVAs, an adapter to place the DVAs and an adapter frame to locate the adapter. The essential feature of the proposed DVA unit is to place itself on any desirable location of the shaft without disassembling the rotor-bearing system under consideration. A simulation with a 3D element based commercial rotor dynamic software is made to test the possibility of the proposed DVA on the suppression of unbalance response in rotor-bearing systems. Experiments are performed to validate the proposed DVA unit. The simulation and experiments show that the proposed DVA unit is very effective to suppress the unbalance response in rotor-bearing system at designated rotational speeds of interest.

Partial State Feedback $H_{\infty}$ Control of Two-Mass System (2관성계의 부분적인 상태궤환을 갖는 $H_{\infty}$제어)

  • Han, Yoon-Seok;Kim, Young-Seok
    • The Transactions of the Korean Institute of Electrical Engineers B
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    • v.48 no.10
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    • pp.562-570
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    • 1999
  • In the industrial motor drive system which is composed of a motor and load connected with a flexible shaft, a torsional vibration is often generated because of the elastic elements in torque transmission. This vibration, which is generated in a two-mass mechanical system. To solve this problem, recently there has been a lot of researches for the robust control relevant to the $H_{\infty}$ control suppressing the torsional vibration and rejecting the torque disturbance. In the case of the $H_{\infty}$controller, however, the command tracking property becomes worse because of overshoot during transient response. For this reason the $H_{\infty}$ controller, which includes the two-degrees-of-freedom(TDOF) controller, is designed in order to improve command tracking property. However, it also includes complexity realizing this controller. In this paper, a new $H_{\infty}$ controller with partial state feedback is proposed. Proposed $H_{\infty}$controller has simple structure but satisfies with the fast command tracking property and the attenuation of disturbances and vibrations simultaneously, just like the complicated TDOF $H_{\infty}$ controller.

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