• Title/Summary/Keyword: bifurcation analysis

검색결과 266건 처리시간 0.033초

Dynamic Analysis of a Geometrical Non-Linear Plate Using the Continuous-Time System Identification

  • Lim, Jae-Hoon;Choi, Yeon-Sun
    • Journal of Mechanical Science and Technology
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    • 제20권11호
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    • pp.1813-1822
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    • 2006
  • The dynamic analysis of a plate with non-linearity due to large deformation was investigated in this study. There have been many theoretical and numerical analyses of the non-linear dynamic behavior of plates examining theoretically or numerically. The problem is how correctly an analytical model can represent the dynamic characteristics of the actual system. To address the issue, the continuous-time system identification technique was used to generate non-linear models, for stiffness and damping terms, and to explain the observed behaviors with single mode assumption after comparing experimental results with the numerical results of a linear plate model.

경사면에서의 리뷸릿 유동에 관한 연구 (A Study of Rivulet Flow on an Inclined Solid Surface)

  • 김진호;김호영;강병하;이재헌
    • 설비공학논문집
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    • 제13권10호
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    • pp.1042-1048
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    • 2001
  • When a liquid is supplied through a nozzle onto a relatively non-wetting inclined solid surface, a narrow rivulet forms. This work provides novel physical insights into the following phenomena in the rivulet flow that have not been well understood to date. Firstly, the fundamental mechanism behind the transition of a linear rivulet to a droplet flow is investigated. The experiments show that the droplet flow emerges due to the necking of a liquid thread near the nozzle. Based on the observation, it is argued that when the axial velocity of a liquid is slower than the retraction velocity of its thread, the bifurcation of the liquid thread occurs, and this argument is experimentally verified. Secondly, a discussion on the curled motion of a meandering rivulet is given. This study proposes the contact angle hysteresis as a primary origin of the centripetal force that enables the rivulet\`s curved motion. A simple scaling analysis based on this assumption predicts a radius of curvature which agrees with the experimental observation.

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평면판의 탄소성 좌굴 특성 해석 (Analysis of Elasto-Plastic Buckling Characteristics of Plates)

  • 김문겸;김소운;황학주
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1990년도 가을 학술발표회 논문집
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    • pp.16-21
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    • 1990
  • Recently, the finite element method has been sucessfully extended to treat the rather couplet phenomena such as nonlinear buckling problems which are of considerable practical interest. In this study, a finite element program to evaluate the elasto-plastic buckling stress is developed. The Stowell's deformation theory for the plastic buckling of flat plates, which is in good agreement with experimental results, is used to evaluate bending stiffness matrix. A bifurcation analysis is performed to compute the elasto-plastic buckling stress. The subspace iteration method is employed to find the eigenvalues. The results are compared with corresponding enact solutions to the governing equations presented by Stowell and also with experimental data due to Pride. The developed program Is applied to obtain elastic and elasto-plastic buckling stresses for various loafing cases. The effect of different plate aspect ratio is also investigated.

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호장법을 이용한 공간구조의 기하학적 비선형 해석에 관한 연구 (A Study on the Geometrically Nonlinear Analysis of Spatial Structures by Using Arc Length Method)

  • 한상을;이상주;이경수
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2007년도 정기 학술대회 논문집
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    • pp.381-386
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    • 2007
  • The present study is concerned with the application of Constant arc-length method that proposed by Crisfield in the investigation of the geometrically nonlinear behaviour of spatial structures composed by truss or beam element. The arc-length method can trace the full nonlinear equilibrium path of Spatial structure far beyond the critical point such as limit or bifurcation point. So, we have developed the constant arc-length method of Crisfield to analysis spatial structure. The finite element formulation is used to develop the 3d truss/beam element including the geometrical nonlinear effect. In an effort to evaluate the merits of the methods, extensive numerical studies were carried out on a number of selected structural systems. The advantages of Constant arc length method in tracing the post-buckling behavior of spatial structures, are demonstrated.

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Investigation of Self-Excited Combustion Instabilities in Two Different Combustion Systems

  • Seo, Seonghyeon
    • Journal of Mechanical Science and Technology
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    • 제18권7호
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    • pp.1246-1257
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    • 2004
  • The objective of this paper is to characterize dynamic pressure traces measured at self-excited combustion instabilities occurring in two combustion systems of different hardware. One system is a model lean premixed gas turbine combustor and the other a fullscale bipropellant liquid rocket thrust chamber. It is commonly observed in both systems that low frequency waves at around 300㎐ are first excited at the onset of combustion instabilities and after a short duration, the instability mode becomes coupled to the resonant acoustic modes of the combustion chamber, the first longitudinal mode for the lean premixed combustor and the first tangential mode for the rocket thrust chamber. Low frequency waves seem to get excited at first since flame shows the higher heat release response on the lower frequency perturbations with the smaller phase differences between heat release and pressure fluctuations. Nonlinear time series analysis of pressure traces reveals that even stable combustion might have chaotic behavior with the positive maximum Lyapunov exponent. Also, pressure fluctuations under combustion instabilities reach a limit cycle or quasi-periodic oscillations at the very similar run conditions, which manifest that a self-excited high frequency instability has strong nonlinear characteristics.

Secondary buckling analysis of spherical caps

  • Kato, Shiro;Chiba, Yoshinao;Mutoh, Itaru
    • Structural Engineering and Mechanics
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    • 제5권6호
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    • pp.715-728
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    • 1997
  • The aim of this paper is to investigate the secondary buckling behaviour and mode-coupling of spherical caps under uniformly external pressure. The analysis makes use of a rotational finite shell element on the basis of strain-displacement relations according to Koiter's shell theory (Small Finite Deflections). The post-buckling behaviours after a bifurcation point are analyzed precisely by considering multi-mode coupling between several higher order harmonic wave numbers: and on the way of post-buckling path the positive definiteness of incremental stiffness matrix of uncoupled modes is examined step by step. The secondary buckling point that has zero eigen-value of incremental stiffness matrix and the corresponding secondary mode are obtained, moreover, the secondary post-buckling path is traced.

고속 저전력 지문인식 알고리즘 처리용 회로 (High Speed and Low Power Scheme for a Fingerprint Identification Algorithm)

  • 유민희;정승민
    • 한국정보통신학회:학술대회논문집
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    • 한국해양정보통신학회 2008년도 춘계종합학술대회 A
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    • pp.111-114
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    • 2008
  • 본 논문에서는 특징점 기반의 지문인식 알고리즘의 각 단계에 있어서 32-bit CPU 사이클 점유율을 분석하고 그 중 전체 80%를 차지하고 있는 가보필터링과 세선화 단계를 처리하기 위한 전용 하드웨어 구조를 제안한다. 특징점 기반의 지문인식 알고리즘을 개발하였으며 소스 코드를 분석하여 가보필터링과 세선화 단계의 처리를 마이크로프로세서가 처리하지 않고 바이패싱하기 위한 전용 하드웨어를 위한 선행연구를 ARM 에뮬레이터 환경에서 실시하였다.

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디스크 런아웃에 기인한 브레이크 스퀼소음 (Brake Squeal Noise Due to Disk Run-out)

  • 임재훈;조성진;최연선;최성진;최규재
    • 한국자동차공학회논문집
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    • 제13권3호
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    • pp.41-47
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    • 2005
  • This paper deals with a squeal noise in a brake system. It has been proved that the squeal noise is influenced by the angular misalignment of a disk, disk run-out, with the previously experimental study. In this study, a cause of the noise is examined by using FE analysis program(SAMCEF) and numerical analyses with a derived analytical equation of the disk based on the experimental results. The FE analyses and numerical results show that the squeal noise is due to the disk run-out as the experimental results and the frequency component of the noise equals to that of a disk's bending mode arising from the Hopf bifurcation.

조합하중을 받는 단층 래티스 돔의 안정경계에 관한 연구 (A Study on the Stability Boundaries for Single Layer Latticed Domes under Combined Loads)

  • 한상을;이갑수
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2000년도 봄 학술발표회논문집
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    • pp.85-91
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    • 2000
  • The smallest value of the load when the equilibrium condition becomes to be unstable is defined as the buckling load. The primary objective of this paper is to analyse stability boundaries for star dome under combined loads and is to investigate the iteration diagram under the independent loading parameter In numerical procedure of the geometrically nonlinear problems, Arc Length Method and Newton-Raphson iteration method is used to find accurate critical point(bifurcation point and limit point). In this paper independent loading vector is combined as proportional value and star dome was used as numerical analysis model to find stability boundary among load parameters and many other models as multi-star dome and arches were studied. Through this study we can find the type of buckling mode and the value of buckling load.

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Modeling and analysis of an LDPE autoclave reactor with axial dispersion

  • Park, Seung-Koo;Wi, Jeong-Ho;Rhee, Hyun-Ku
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1991년도 한국자동제어학술회의논문집(국제학술편); KOEX, Seoul; 22-24 Oct. 1991
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    • pp.1693-1698
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    • 1991
  • An axial dispersion model is developed for the slim reactor employed in the LDPE autoclave process so that imperfect mixing caused by large L/D ratio (10-20) may be quantified by Peclet number. The model is then used to investigate the effect of mixing on the reactor performance represented by the monomer conversion, the reactor temperature, the molecular weight, and the polydispersity. In addition, the existence of steady state multiplicity is identified with the initiator feed concentration or the feed temperature as the bifurcation parameter. The effects of the initiator feed concentration and the feed temperature are also examined.

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