• Title/Summary/Keyword: eigenvalue analysis

Search Result 794, Processing Time 0.028 seconds

Torsional Vibration Analysis of a Multi-Stage Reduction Gear System (다단 감속치차계의 비틀림진동 해석)

  • 이동환;김영철;최상규;이안성
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
    • /
    • 1996.10a
    • /
    • pp.307-312
    • /
    • 1996
  • A torsional vibration analysis of a multi-stage reduction gear box connected to a gas turbine system is presented. For a free vibration analysis the Modified Hibner Branch Method, so called "Blank Matrix Method", and the .lambda.-Matrix Method are used in the modeling and the eigenvalue solution, respectively. Also, a short circuit forced analysis of the system is performed, utilizing the energy method modeling. It is shown that the results of the free vibration analysis have the same tendency as those of the short circuit analysis. analysis.

  • PDF

Analysis of Buckling Causes and Establishment of Reinforcement Method for Support of Plate Girder Bridge (플레이트 거더교 지점부의 좌굴발생 원인분석 및 보강방안 수립)

  • Ok, Jae-Ho;Yhim, Sung-Soon
    • Journal of the Korea Academia-Industrial cooperation Society
    • /
    • v.20 no.11
    • /
    • pp.520-526
    • /
    • 2019
  • I-type girders are widely applied as very economical sections in plate girder bridges. There has been research on developing composite laminated panels, curved plates reinforced with closed-end ribs, and new forms of ribs and compression flanges for steel box girders. However, there is a limitation in analyzing the exact cause of local buckling caused by an I-type girder's webs. Therefore, an I-type girder's web was modeled using the finite element analysis program LUSAS 17.0 before and after reinforcement. We checked for the minimum thickness criteria presented in the Korea highway bridge design code, and the cause of buckling after performing a linear elastic buckling analysis of dead and live loads was analyzed. Before reinforcement, an eigenvalue (λ1) at the 1st mode was 0.7025, the critical buckling load was smaller than the applied load, and there is a buckling. After reinforcement, when applying vertical and horizontal stiffeners to the web part of the girder at support, a Nodal line was formed, the eigenvalue was 1.5272, and buckling stability was secured. To improve buckling trace of the girder at the support, an additional plate was applied to the web at the support to ensure visual and structural safety, but buckling occurs at center of web. The eigenvalue (λ1) was 3.5299, and this method is efficient for reinforcing the web of the support.

An Effective Steel Plate Detection Using Eigenvalue Analysis (고유값 분석을 이용한 효과적인 후판 인식)

  • Park, Sang-Hyun
    • The Journal of the Korea institute of electronic communication sciences
    • /
    • v.7 no.5
    • /
    • pp.1033-1039
    • /
    • 2012
  • In this paper, a simple and robust algorithm is proposed for detecting each steel plate from a image which contains several steel plates. Steel plate is characterized by line edge, so line detection is a fundamental task for analyzing and understanding of steel plate images. To detect the line edge, the proposed algorithm uses the small eigenvalue analysis. The proposed approach scans an input edge image from the top left corner to the bottom right corner with a moving mask. A covariance matrix of a set of edge pixels over a connected region within the mask is determined and then the statistical and geometrical properties of the small eigenvalue of the matrix are explored for the purpose of straight line detection. Using the detected line edges, each plate is determined based on the directional information and the distance information of the line edges. The results of the experiments emphasize that the proposed algorithm detects each steel plate from a image effectively.

Free vibration of a rectangular plate with an attached three-degree-of-freedom spring-mass system

  • Febbo, M.;Bambill, D.V.;Rossi, R.E.
    • Structural Engineering and Mechanics
    • /
    • v.40 no.5
    • /
    • pp.637-654
    • /
    • 2011
  • The present paper studies the variation of the natural frequencies and mode shapes of rectangular plates carrying a three degree-of-freedom spring-mass system (subsystem), when the subsystem changes (stiffness, mass, moment of inertia, location). An analytical approach based on Lagrange multipliers as well as a finite element formulation are employed and compared. Numerically reliable results are presented for the first time, illustrating the convenience of using the present analytical method which requires only the solution of a linear eigenvalue problem. Results obtained through the variation of the mass, stiffness and moment of inertia of the 3-DOF system can be understood under the effective mass concept or Rayleigh's statement. The analysis of frequency values of the whole system, when the 3-DOF system approaches or moves away from the center, shows that the variations depend on each particular mode of vibration. When the 3-DOF system is placed in the center of the plate, "new" modes are found to be a combination of the subsystem's modes (two rotations, traslation) and the bare plate's modes that possess the same symmetry. This situation no longer exists as the 3-DOF system moves away from the center of the plate, since different bare plate's modes enable distinct motions of the 3-DOF system contributing differently to the "new' modes as its location is modified. Also the natural frequencies of the compound system are nearly uncoupled have been calculated by means of a first order eigenvalue perturbation analysis.

Stress Singularity Behaviour in the Frictional Complete Contact Problem of Three Bodies (세 물체 간 마찰 완전 접촉 문제의 응력 특이성 거동)

  • Kim, Hyung-Kyu
    • Tribology and Lubricants
    • /
    • v.35 no.4
    • /
    • pp.229-236
    • /
    • 2019
  • This study investigates the stress singularity that occurs at the contact edge of three bodies in a frictional complete contact. We use the asymptotic analysis method, wherein we constitute an eigenvalue problem and observe the eigenvalue behavior, which we use to obtain the order of the stress singularity. For the present geometry of three bodies in contact, a contact between a cracked indenter and half plane is considered. This is a typical geometry of the PCMI problem of a nuclear fuel rod. Thus, this paper, specifically presents the characteristics of the PCMI problem from the perspective of stress singularity. Consequently, it is noted that the behavior of the stress singularity varies with the difference in the crack angle, coefficient of friction, and material dissimilarity, as is observed in a frictional complete contact of two bodies. In addition, we find that the stress singularity changes essentially linearly with respect to the coefficient of friction, regardless of the variation in the crack angle and material dissimilarity. Concurrently, we find the order of singularity to be 0.5 at a certain coefficient of friction, irrespective of the crack angle, which we also observe in the crack problem of a homogeneous and isotropic body. The order of singularity can also exceed 0.5 in the frictional complete contact problem of three bodies. This implies that the propensity for failure when three bodies are in frictional complete contact can be even worse than that in case of a failure induced by a crack.

On-line Finite Element Model Updating Using Operational Modal Analysis and Neural Networks (운용중 모드해석 방법과 신경망을 이용한 온라인 유한요소모델 업데이트)

  • Park, Wonsuk
    • Journal of the Computational Structural Engineering Institute of Korea
    • /
    • v.34 no.1
    • /
    • pp.35-42
    • /
    • 2021
  • This paper presents an on-line finite element model updating method for in-service structures using measured data. Conventional updating methods, which are based on numerical optimization, are not efficient for on-line updating because they generally require repeated eigenvalue analyses until convergence criteria are met. The proposed method enables fully automated on-line finite element model updating, almost simultaneously with vibration measurement, without any user intervention or off-line procedures. The automated covariance-driven stochastic subspace identification (Cov-SSI) method is utilized to identify modal frequencies and vectors, and the identified modal data is fed to the neural network of the inverse eigenvalue function to produce the updated finite element model parameters. Numerical examples for a wind excited 20-story building structure shows that the proposed method can update the series of finite element model parameters automatically. It is also shown that sudden changes in the structural parameters can be detected and traced successfully.

Analytical Evaluation of Rotor Dynamic Characteristic of Roots Type Vacuum Pump (루츠타입 진공펌프 동특성의 해석적 평가)

  • Lee, Jong-Myeong;Kim, Yong-Hwi;Ha, Jeong-Min;Gu, Dong-Sik;Choi, Byeong-Keun
    • Transactions of the Korean Society for Noise and Vibration Engineering
    • /
    • v.21 no.12
    • /
    • pp.1112-1119
    • /
    • 2011
  • The goal of this study is the stability evaluation of a vacuum pump through modal test and rotor dynamics. Roots type vacuum pump, which is a dry vacuum pump, is necessary for the manufacturing process of the semiconductor and the display. Eigenvalue was solved by the finite-element method(FEM) using 2D and 3D models, then the modal test result was compared with the FEM result. According to the comparison, the analysis result using the 2D was more accurate than the 3D model. Therefore, rotor dynamics was performed by the 2D model. Campbell diagram and root-locus maps, which were calculated by complex-eigenvalue analysis, were used to evaluate the stability of the rotors of the vacuum pump. And displacement solved by unbalance response analysis was compared with the minimum clearance between two rotors of the vacuum pump. Thus, the vacuum pump is assumed operated under steady state through the evaluation of the rotor dynamics.

Development of Model for Seismic Qualification of Electronic Enclosure for Nuclear Power Plant (원자력발전소용 전자기기함을 위한 내진검증 해석 모델 개발연구)

  • Sur, Uk-Hwan
    • Transactions of the Korean Society of Mechanical Engineers A
    • /
    • v.35 no.1
    • /
    • pp.47-52
    • /
    • 2011
  • In this paper, we describe the development of a finite-element model for seismic qualification. This paper presents finite-element analysis model of the electronic enclosure to be used at Arkansas nuclear power plant, USA. The verified model predicts natural frequencies within 5% error for all major modes below 50 Hz. The finite element lumped mass approach and the finite element stiffness approach using the COSMOSM finite element code is applied for static, eigenvalue, and dynamic analyses of the mathematical model of this system. The FEM model indicates that the stress levels corresponding to the specified loading conditions are below the allowable stress levels that have been specified in the AISC Code. The findings conclude that the electronic enclosure will withstand the seismic levels stated in the reference documents.

Vibration Reduction of a Large-sized Bus Roof through Change of the Factors Characteristics (인자 특성 변화를 통한 대형버스의 루프 진동 저감)

  • Kuk, Jong-Young;Park, Jong-Chan;Lim, Jung-Hwan
    • Transactions of the Korean Society of Automotive Engineers
    • /
    • v.18 no.6
    • /
    • pp.138-144
    • /
    • 2010
  • If the vibration is occurred in a large-sized bus roof, it makes people annoying and complaining the quality of a large-sized bus. So in design stage, it must be considered. To assess vibration at the roof which is equipped with air conditioner in design stage, finite element model is constructed. Computer simulation analysis and experimental method are performed. The dynamic characteristics of the large-sized bus are found by using eigenvalue method. It is related with dynamic behavior. The running conditions of a large-sized bus are velocity and road condition which followed experimental conditions. And the frequency response of a large-sized bus is well correlated with analysis result. Modal participation method is used for finding major modes at each peak. Using this method, we found that front and rear suspension system, engine mounting system and roof structure are the major reasons of the roof vibration. To reduce vibration level of roof in a large-sized bus, spring stiffness of front and rear suspension system, spring stiffness of engine mounting system and roof structure are properly combined. From this study, the vibration characteristics of the roof structure of a large-sized bus can be to a satisfactory level.

A Study on Referents and Inputs in Pay Comparisons (임금비교에 있어서 비교대상 및 비교기준에 관한 연구)

  • Hong, Kwang-Hoon
    • Management & Information Systems Review
    • /
    • v.19
    • /
    • pp.223-241
    • /
    • 2006
  • This study has two purposes. One is to systematize a number of referents and to examine the types of comparisons. The other is to examine categories of comparative standards such as inputs in equity theory. In pay comparison process, referents and inputs are very important elements. The first factor analysis is related to referents, which include 18 variables in 6 categories were subjected to factor analysis. 3 factors emerge with an eigenvalue of 1.0 or greater. Factor I, economic need, includes referents in personal worth and system referent. Factor II, market comparison, includes internal and external referents except one variable(external-peer). Between internal and external referents is not distinguished. This result is corresponded with Hills'(1980) and Hong's(1995) findings. FactorIII is named 'historical/social comparisons'. 14 inputs are subjected to the second factor analysis. 3 factors emerge with an eigenvalue of 1.0 or greater. The 5 variables loading on factor I, equity standard, are responsibility, competency, effort, outcome, and skill. FactorII, equality standard, includes age, gender, and education. FactorIII, seniority standard, includes career and company tenure. All the factors are positively associated with each other. Especially, personal worth is associated with equity standard(r=0.50466). Internal and external referents are associated with any comparative standard.

  • PDF