• Title/Summary/Keyword: complex eigenvalue analysis

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Analysis on the Squeal Noise of Wheel Brake System for Tilting Train (틸팅차량용 휠 제동장치의 스퀼 소음 해석)

  • Cha, Jung-Kwon;Park, Yeong-Il
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.20 no.1
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    • pp.98-105
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    • 2010
  • Squeal, a kind of self-excited vibration, is generated by the friction between the disc and the friction materials. It occurs at the ending stage of the braking process, and radiates and audible frequency range of 1 kHz to 10 kHz. Squeal is generated from unstability because of the coupling between the translation and rotation of the system. This instability is caused by the follower force and follower force is normal component of the friction force. In this paper modal analysis of wheel brake system was performed in order to predict the squeal phenomenon. It was shown that the prediction of system instability is possible by FEM. A finite element model of that brake system was made. Some parts of a real brake was selected and modeled. Modal analysis method performs analyses of each brake system component. Experimental modal analysis was performed for each brake components and experimental results were compared with analytical results from FEM. To predict the dynamic unstability of a whole system, the complex eigenvalue analysis for assembly modeling of components confirmed by modal analysis is performed. The finite element models of the disk brake assembly have been constructed, and the squeal noise problems have been solved by complex eigenvalue analysis. The complex eigenvalue analysis results compared with real train test.

Flutter analysis of long-span bridges using ANSYS

  • Hua, X.G.;Chen, Z.Q.;Ni, Y.Q.;Ko, J.M.
    • Wind and Structures
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    • v.10 no.1
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    • pp.61-82
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    • 2007
  • This paper presents a novel finite element (FE) model for analyzing coupled flutter of long-span bridges using the commercial FE package ANSYS. This model utilizes a specific user-defined element Matrix27 in ANSYS to model the aeroelastic forces acting on the bridge, wherein the stiffness and damping matrices are expressed in terms of the reduced wind velocity and flutter derivatives. Making use of this FE model, damped complex eigenvalue analysis is carried out to determine the complex eigenvalues, of which the real part is the logarithm decay rate and the imaginary part is the damped vibration frequency. The condition for onset of flutter instability becomes that, at a certain wind velocity, the structural system incorporating fictitious Matrix27 elements has a complex eigenvalue with zero or near-zero real part, with the imaginary part of this eigenvalue being the flutter frequency. Case studies are provided to validate the developed procedure as well as to demonstrate the flutter analysis of cable-supported bridges using ANSYS. The proposed method enables the bridge designers and engineering practitioners to analyze flutter instability by using the commercial FE package ANSYS.

The Study on the Influence of Pad Wear on Brake Squeal Analysis (브레이크 스퀼 해석에서 패드 마모의 영향에 관한 연구)

  • Lee, Ho-Gun;Son, Min-Hyuk;Seo, Young-Wook;Boo, Kwang-Seok;Kim, Heung-Seob
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.32 no.11
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    • pp.930-936
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    • 2008
  • This paper studies the effect of pad at initial stage and wear during braking on the dynamic contact pressure distribution. Wear is influenced by variable factor (contact pressure, sliding speed, radius, temperature) during dynamic braking and variation in contact pressure distribution. Many researchers have conducted complex eigenvalue analysis considering wear characteristic with Lim and Ashby wear map. The conventional analysis method is assumed the pad has smooth and flat surfaces. The purpose of this paper is to validate that wear rate induced by braking is considered for the precise squeal prediction. After obtaining pad wear from experiment, it is incorporated with FE model of brake system. Finally, the comparisons in fugitive nature of squeal will be carried out between the complex eigenvalue analysis and noise dynamometer experiment.

The study on the influence of contact pressure distribution on brake squeal analysis (브레이크 스퀼 해석에서 접촉압력분포의 영향에 관한 연구)

  • Lee, Ho-Gun;Son, Min-Hyuk;Seo, Young-Uk;Boo, Kwang-Seok;Kim, Heung-Seob
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2007.11a
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    • pp.1120-1124
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    • 2007
  • Recently in the automotive brake industry brake squeal noise has become one of the top automotive quality warranty issues. The contact pressure is used to predict friction coupling in the brake squeal analysis. The formulation of friction coupling has performed by nonlinear static analysis prior to the complex eigenvalue analysis. This paper proposes a validation methodology of squeal analysis using modal testing and contact analysis and examines the effect of predicted contact pressure that leads to the discrepancy between unstable complex mode and squeal frequency. This studies compose a three step validation process : examining the modal characteristics of component and assembly loaded contact pressure using modal testing and FEM analysis and verifying the contact pressure distribution using nonlinear static analysis and experiment. Finally, the unstable modes from complex eigenvalue analysis and realistic squeal frequency from the noise dynamometer are investigated.

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A Study of the Squeal Noise of a Disc Brake System Using FEM (유한 요소법을 이용한 디스크 브레이크 스퀼 소음 해석)

  • Choi, Hyoung-Gil;Jeong, Ji-Deok;Kang, Ho-Won;Lee, Jang-Moo;Chung, In-Seung;Park, Choon-Ki
    • Proceedings of the KSME Conference
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    • 2001.06b
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    • pp.630-634
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    • 2001
  • Predicting brake squeal noise in design stage can be beneficial to reducing the expense of development. In this paper, the possibility of pre-estimating squeal phenomena of a disc brake system was investigated. To preestimate squeal phenomena, complex eigenvalue analysis was performed for brake system. The evaluation of noise dynamometer test verified the prediction and it corresponded with the result of complex eigenvalue analysis.

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Factor Effects of Low-Frequency Instability of Brake System Using Complex Eigenvalue Analysis (복소 고유치 해석을 통한 브레이크 시스템의 저주파 불안정성 영향인자 분석)

  • Lee, Ik Hwan;Jeong, Wontae;Park, Kyung Hwan;Lee, Jongsoo
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.38 no.6
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    • pp.683-689
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    • 2014
  • The present study conducted a parameter effect analysis of low-frequency squeal noise using a numerical simulation. The finite element program ABAQUS was used to calculate the dynamic instability based on a complex eigenvalue analysis. A total of five parameters, including the chassis, wear, piston, material property, and contact condition, were selected to identify the factor effects on a low-frequency squeal noise between 2.5 and 3.1 kHz. The present study found the dominant level of each factor through an analysis of the means in the context of the experiment design.

Time-variety Characteristics Analysis of Squeal Noise due to Proposed Wear Model and Experimental Verification (제안된 마모 모델에 따른 스퀼소음의 시변특성 해석과 실험적 검증)

  • Lee, Ho-Gun;Son, Min-Hyuk;Seo, Young-Wook;Boo, Kwang-Seok;Kim, Heung-Seob
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2008.11a
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    • pp.89-90
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    • 2008
  • This paper studies the effect of pad at initial stage and wear during braking on the dynamic contact pressure distribution. Wear is influenced by variable factor (contact pressure, sliding speed, radius, temperature) during dynamic braking and variation in contact pressure distribution. Many researchers have conducted complex eigenvalue analysis considering wear characteristic with Lim and Ashby wear map. The conventional analysis method is assumed the pad has smooth and flat surfaces. The purpose of this paper is to validate that wear rate induced by braking is considered for the precise squeal prediction. After obtaining pad wear from experiment, it is incorporated with FE model of brake system. Finally, the comparisons in fugitive nature of squeal will be carried out between the complex eigenvalue analysis and noise dynamometer experiment.

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Efficient Flutter Analysis for Aircraft with Various Analysis Conditions (다양한 해석조건을 갖는 항공기에 대한 효율적인 플러터 해석)

  • Lee, Sang-Wook;Kim, Tae-Uk;Hwang, In-Hee;Paek, Seung-Kil
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2005.11b
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    • pp.49-52
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    • 2005
  • Flutter analysis procedure can be divided into two steps such as the computation of generalized mass, stiffness, and unsteady aerodynamic matrices and the calculation of major vibration modes frequency and damping values at each flight speed by solving the complex eigenvalue problem. In aircraft flutter analyses, most of the time is spent in the process of computing the unsteady aerodynamic matrices at each Mach-reduced frequency pairs defined. In this study, the method has been presented for computation and extraction of unsteady aerodynamic matrix portions dependent only on aerodynamic model using DMAP ALTER in MSC/NASTRAN SOL 145. In addition, efficient flutter analysis method has been suggested by computing and utilizing the unsteady generalized aerodynamic matrices for each analysis condition using the unsteady aerodynamic matrix portions extracted above.

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Comparison of Small Signal Stability Analysis Methods in Complex Systems with Switching Elements

  • Kim, Deok Young;Meliiopoulos, A.P.Sakis
    • KIEE International Transactions on Power Engineering
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    • v.4A no.2
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    • pp.79-83
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    • 2004
  • A new small signal stability analysis method for eigenvalue analysis is presented. This method utilizes the Resistive Companion Form (RCF) for the computation of the transition matrix over a specified time interval, which corresponds to a single cycle operation of the system. This method is applicable to any system, with or without switching element. An illustrative example of the method is presented and the eigenvalues are compared with those of the conventional state space method (analog) in order to demonstrate the accuracy of the proposed eigenvalue analysis method. Also, the variations of oscillation modes that are caused by the switching operation can be precisely analyzed using this method.