• Title/Summary/Keyword: Mechanical Resonance

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Resonance and Instability of Blade-Shaft Coupled Bending Vibrations with In-plane Blade Vibration

  • Anegawa, Norihisa;Fujiwara, Hiroyuki;Okabe, Akira;Matsushita, Osami
    • International Journal of Fluid Machinery and Systems
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    • v.1 no.1
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    • pp.169-180
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    • 2008
  • As a major component of a power plant, a turbine generator must have sufficient reliability. Longer blades have lower natural frequency, thereby requiring that the design of the shaft and blade takes into account the coupling of the blade vibration mode, nodal diameter k=0 and k=1 with vibration of the shaft. The present work analyzes the coupling of the translation motion of the shaft with in-plane vibration of the blades with k=1 modes. At a rotational speed ${\Omega}_1=|{\omega}_s-{\omega}_b|$, the resonance of the blades has a relatively large amplitude. A violent coupled resonance was observed at a rotational speed ${\Omega}_2=|{\omega}_s+{\omega}_b|$. Resonance in blade vibration at ${\Omega}_1=|{\omega}_s-{\omega}_b|$ was experimentally confirmed.

Phase Resonance in a Centrifugal Compressor

  • Nishiyama, Yumeto;Suzuki, Takayuki;Yonezawa, Koichi;Tanaka, Hiroshi;Doerfler, Peter;Tsujimoto, Yoshinobu
    • International Journal of Fluid Machinery and Systems
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    • v.4 no.3
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    • pp.324-333
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    • 2011
  • Phase resonance in a centrifugal compressor was experimentally observed and simulated with a commercial CFD code. It was found that pressure fluctuation at the volute outlet becomes the maximum when the rotational speed of the modes caused by the rotor-stator interaction agrees with the sound velocity. A simple one-dimensional theory is presented to explain the phase resonance in turbomachinery.

Numerical Investigation of Serration Effect on the Helmholtz Resonance (헬름홀츠 공진에서 톱니 효과에 대한 수치적 연구)

  • Lee, Seungsoo;Jeon, Minu;Lee, Soogab
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.26 no.1
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    • pp.13-19
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    • 2016
  • The flow-excited Helmholtz resonance phenomenon was investigated numerically using Reynolds averaged Navier-Stokes approach. The fundamental cause of the Helmholtz resonance phenomenon is known as shedding of a single discrete vortex from orifice edge that travels during one period of the oscillation. In this study, serrated deflector, which is biomimetic design of the owl's feather, is used to split a single vortex into small vortices. Rectangular deflector and serrated deflector are compared with numerical results of pressure and streamline inside the cavity. Consequently, the serration breaks the shedding period of vortex core and eliminates the resonance. Also, it changes the flow pattern in according to the location of different serration height. By making inflows and outflows occur simultaneously in spanwise direction in the cavity, the period of Helmholtz resonance disappears. Comparing between rectangular deflector and serrated deflector, the serrated deflector can deal with the Helmholtz resonance more effectively.

A Study on the Pressure Resonance with Combustion Chamber Geometry for a Spark Ignition Engine (스파크 점화기관의 연소실 형상에 따른 공진현상 해석에 관한 연구)

  • Park, Gyeong-Seok;Jang, Seok-Hyeong
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.25 no.12
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    • pp.1905-1910
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    • 2001
  • Pressure resonance frequency that is caused in the combustion chamber can be interpreted by acoustic analysis. Until now the pressure resonance has been assumed and calculated to a disc type combustion chamber that neglected the combustion chamber height because the knock occurs near the TDC(top dead center). In this research FEM(finite element method) has been used to calculate the pressure resonance frequency inside the experimental engine combustion. The error of the resonance frequency obtained by FEM has decreased about 50% compared to the calculation of Draper's equation. Due to the asymmetry in the shape of the combustion chamber that was neglected in Draper's equation we could find out that a new resonance frequency could be generated. To match the experimental results, the speed of sound that satisfies Draper's equation is selected 13% higher than the value for pent-roof type combustion chamber.

Nondestructive Inspection Method of Composite Laminated Plates by Holographic Interferometry (홀로그래피 간섭계를 이용한 복합적층판의 결함측정)

  • 김석중;김재형;박현철
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.18 no.12
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    • pp.3202-3218
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    • 1994
  • Mode shapes and natural frequencies of vibrating laminated composite plates are taken using real-time and time-average holographic interferometry. Debonds and delamination in the laminated plates are measured nondestructively. During holographic testing of composite plates, it has been found that the conditions for the local resonance in debonds are strongly dependent on the frequency of excitation. A membrane resonance model was proposed to describe this behavior. Relations between characteristic length according to the size, shape of debonds and membrane resonance frequency are presented. Several experiments were performed to verify the membrane resonance model. The agreements between the predicted excitation frequency and the observed resonance frequency are good. The experimental results show that higher stresses and strains due to local resonance lead to the debond detection.

Modal Interactions in an Autoparametric Vibration Absorber to Narrow Band Random Excitation

  • Cho, Duk-Sang;Mo, Chang-Ki;Ban, Gab-Su;Lee, Kwang-Ho
    • Journal of Mechanical Science and Technology
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    • v.17 no.1
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    • pp.97-104
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    • 2003
  • The main objectives of this study are to examine the random responses of a vibration absorber system with autoparametric coupling in the neighborhood of internal resonance subjected to narrow band random excitation by Gaussian closure scheme and to compare the results with those obtained by Monte Carlo simulation. The Monte Carlo simulation is found to support the main features of the nonlinear modal interaction in the neighborhood of internal resonance conditions. The jump phenomenon of the cantilever mode and saturation phenomenon of the main system are shown to occur if the excitation bandwidth is sufficiently small.

Evaluation of Elastic Properties and Analysis of Contact Resonance Frequency of Cantilever for Ultrasonic AFM (초음파원자현미경 캔틸레버의 동특성 해석과 탄성특성 평가)

  • Park, Tae-Sung;Kwak, Dong-Ryul;Park, Ik-Keun;Kim, Chung-Seok;Jhang, Kyung-Young
    • Journal of the Korean Society for Nondestructive Testing
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    • v.31 no.2
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    • pp.174-180
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    • 2011
  • Nondestructive surface imaging of elastic characteristic and mechanical property has been studied on nanoscale surface with ultrasonic AFM. Resonance frequency variation of cantilever is theoretically analyzed with respect to contact mechanics as well as experimentally measured. The contact resonance frequency is calculated theoretically using the spring-mass and Herzian model in accordance with the resonance frequency of UAFM cantilever measured experimentally. Consequently, the topography and amplitude images could be obtained successfully and the elastic characteristic at the nanoscale surface was evaluated qualitatively by amplitude signals.

Application of Magnetic Resonance Thermometry (MRT) on Fully Developed Turbulent Pipe Flow using 3T and 7T MRI (완전발달 난류 원관 유동에서의 3T 및 7T MRI를 이용한 자기공명온도계의 적용)

  • You, Hyung Woo;Baek, Seungchan;Kim, Dong-Hyun;Lee, Whal;Oh, Sukhoon;Hwang, Wontae
    • Journal of the Korean Society of Visualization
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    • v.18 no.1
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    • pp.26-37
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    • 2020
  • Magnetic resonance thermometry (MRT) is a technique capable of measuring three-dimensional mean temperature fields by utilizing temperature-dependent shifts in proton resonance frequency. In this study, experimental verification of the technique is obtained by measuring 3D temperature fields within fully developed turbulent pipe flow, using 3T and 7T MRI scanners. The effect of the proton resonance frequency (PRF) thermal constant is examined in detail.

Anti-Jump Resonance Characteristics of Anti-Windup Compensator for Systems with a Saturating Actuator (와인드업 방지 보상기의 점프공진 제거 특성)

  • 장원욱;노현석;박영진
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.17 no.6
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    • pp.1342-1350
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    • 1993
  • One of the undesirable nonlinear phenomena in feedback control systems is called 'wind up', which is characterized by large overshoot, slow response, and even instability. It is caused by interaction between the integrator in the controller and the saturating actuator. Limit cycle and jump resonance are another nonlinear characteristrics of systems with saturating actuators. Several 'anti-windup' compensators have been developed to prevent some of the aforementioned nonlinear characteristics such as instability and limit cycle, but none has studied the effect of anti-windup compensator on the jump resonance. In this paper, we developed an analytical method to design the compensator to prevent not only limit cycle but also jump resonance. An illustrative example is included to show the compensator eliminates jump resonance effectively.

Nonlinear resonance of axially moving GPLRMF plates with different boundary conditions

  • Jin-Peng Song;Gui-Lin She
    • Structural Engineering and Mechanics
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    • v.86 no.3
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    • pp.361-371
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    • 2023
  • Boundary condition is an important factor affecting the vibration characteristics of structures, under different boundary conditions, structures will exhibit different vibration behaviors. On the basis of the previous work, this paper extends to the nonlinear resonance behavior of axially moving graphene platelets reinforced metal foams (GPLRMF) plates with geometric imperfection under different boundary conditions. Based on nonlinear Kirchhoff plate theory, the motion equations are derived. Considering three boundary conditions, including four edges simply supported (SSSS), four edges clamped (CCCC), clamped-clamped-simply-simply (CCSS), the nonlinear ordinary differential equation system is obtained by Galerkin method, and then the equation system is solved to obtain the nonlinear ordinary differential control equation which only including transverse displacement. Subsequently, the resonance response of GPLRMF plates is obtained by perturbation method. Finally, the effects of different boundary conditions, material properties (including the GPLs patterns, foams distribution, porosity coefficient and GPLs weight fraction), geometric imperfection, and axial velocity on the resonance of GPLRMF plates are investigated.