• 제목/요약/키워드: Curved motion

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일정속도를 갖는 유체를 포함하는 곡관의 유한요소 진동해석 (Finite Element Vibration Analysis of Curved Beam Conveying Fluid of Uniform Velocity)

  • 서영수;정의봉;오준석
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2003년도 추계학술대회논문집
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    • pp.285-290
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    • 2003
  • A method for the dynamic analysis of curved beam conveying fluid presents. The dynamics of curved beam is based on inextensible theory and the fluid in curved beam has uniform velocity. The equations of motion of curved beam are decoupled by in-plane motion and out-of$.$Plane motion. The solutions of equations are presented by a finite element method and validate by comparing the natural frequency with analytical solution, straight beam theories and Nastran. The influence of fluid velocity on the frequency response function is illustrated and discussed.

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How the Geometries of Newton's Flat and Einstein's Curved Space-Time Explain the Laws of Motion

  • 양경은
    • 한국수학사학회지
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    • 제32권1호
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    • pp.17-25
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    • 2019
  • This essay elucidates the way the geometries of space-time theories explain material bodies' motions. A conventional attempt to interpret the way that space-time geometry explains is to consider the geometrical structure of space-time as involving a causally efficient entity that directs material bodies to follow their trajectories corresponding to the laws of motion. Newtonian substantival space is interpreted as an entity that acts but is not acted on by the motions of material bodies. And Einstein's curved space-time is interpreted as an entity that causes the motions of bodies. This essay argues against this line of thought and provides an alternative understanding of the way space-time geometry explain the laws of motion. The workings of the way that Newton's flat and Einstein's curved space-time explains the law of motion is such that space-time geometry encodes the principle of inertia which specifies straight lines of moving bodies.

일정속도 유체를 운반하는 곡관의 유한요소 진동해석 (Finite Element Vibration Analysis of a Curved Pipe Conveying Fluid with Uniform Velocity)

  • 이성현;정의봉;서영수
    • 한국소음진동공학회논문집
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    • 제18권10호
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    • pp.1049-1056
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    • 2008
  • A method for the vibration analysis of curved beam conveying fluid with uniform velocity was presented. The dynamics of curved beam is based on the inextensible theory. Both in-plane motion and out-of-plane motion of curved beam were discussed. The finite element method was formulated to solve the governing equations. The natural frequencies calculated by the presented method were compared with those by analytical solution, straight beam theories and Nastran. As the velocity of fluid becomes larger, the results by straight beam model became different from those by curved beam model. And it was shown that the curved beam element should be used to predict the critical velocity of fluid exactly. The influence of fluid velocity on the frequency response function was also discussed.

조화진동유동을 포함한 곡선 파이프 계의 혼돈 운동 연구 (Chaotic Vibration of a Curved Pipe Conveying Oscillatory Flow)

  • 박철희;홍성철;김태정
    • 소음진동
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    • 제7권3호
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    • pp.489-498
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    • 1997
  • In this paper, chaotic motions of a curved pipe conveying oscillatory flow are theoretically investigated. The nonliear partial differential equation of motion is derived by Newton's method. The transformed nonlinear ordinary differential equation is a type of Hill's equation, which has the external and parametric excitation with a same frequency. Bifurcation curves of chaotic motion of the piping systems are obtained by applying Melnikov's method. Numerical simulations are performed to demonstrate theoretical results and show the strange attractor of the chaotic motion.

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시간 영역 상관관계 기법을 통한 곡선운동을 하는 차량용 전방 관측 역산란 합성 영상 형성 (Forward-Looking Synthetic Inverse Scattering Image Formation for a Vehicle with Curved Motion Based on Time Domain Correlation)

  • 이혁중;전주환;황성현;유성진;변우진
    • 한국전자파학회논문지
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    • 제30권1호
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    • pp.60-69
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    • 2019
  • 본 논문에서는 전방 관측 특히, 곡선운동을 하는 차량용 전방 관측 역산란 합성 영상 형성에 대해 다룬다. 영상 형성을 위해 시간 영역 상관관계(time domain correlation: TDC) 기법이 사용되었으며, 차량의 전방 지면의 2D 영상을 얻는다. TDC는 공간변화 시스템에 대한 정합 필터링을 구현한 기법이므로 가우시안 잡음에 강건하다. 또한, 직선운동을 할 때의 영상과 곡선운동을 할 때의 영상에 대한 비교, 분석을 통해 곡선운동을 했을 때 영상의 엔트로피가 증가하는 대신 영상의 분해능이 향상되었음을 보인다.

Chaotic Responses of Curved Plate under Sinusoidal Loading

  • W.Y. Poon;C.F. Ng;Lee, Y.Y.
    • Journal of Mechanical Science and Technology
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    • 제17권1호
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    • pp.85-96
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    • 2003
  • In the present investigation, the nonlinear dynamic buckling of a curved plate subjected to sinusoidal loading is examined. By the theoretical analyses, a highly nonlinear snap-through motion of a clamped-free-clamped-free plate and its effect on the overall vibration response are investigated. The problem is reduced to that of a single degree of freedom system with the Rayleigh-Ritz procedure. The resulting nonlinear governing equation is solved using Runge-Kutta (RK-4) numerical integration method. The snap-through boundaries, which vary with different damping coefficient and linear circular frequency of the flat plate are studied and given in terms of force and displacement. The relationships between static and dynamic responses at the start of a snap-through motion are also predicted. The analysis brings out various characteristic features of the phenomenon, i.e. 1) small oscillation about the buckled position-softening spring type motion, 2) chaotic motion of intermittent snap-through, and 3) large oscillation of continuous snap-through motion crossing the two buckled positions-hardening spring type. The responses of buckled plate were found to be greatly affected by the snap-through motion. Therefore, better understanding of the snap-through motion is needed to predict the full dynamic response of a curved plate.

조화진동유동을 포함한 곡선파이프계의 혼돈운동 연구 (Chaotic Vibration of a Curved Oipe Conveying Oscillatory Flow)

  • 박철희;홍성철;김태정
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 1996년도 추계학술대회논문집; 한국과학기술회관, 8 Nov. 1996
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    • pp.288-294
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    • 1996
  • In this paper, Chaotic motions of a curved pipe conveying oscillatory flow are theoretically investigated. The nonlinear partial differential equation of motion is derived by Newton's method. The transformed nonlinear ordinary differential equation is a type of Hill's equation, which have the parametric and external excitation. Bifurcation curves of chaotic motion of the piping systems are obtained by applying Melnikov's method. Poincare maps numerically demonstrate theoretical results and show transverse homoclinic orbit of the chaotic motion.

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Nonlocal free vibration analysis of a doubly curved piezoelectric nano shell

  • Arefi, Mohammad
    • Steel and Composite Structures
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    • 제27권4호
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    • pp.479-493
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    • 2018
  • In this paper nonlocal free vibration analysis of a doubly curved piezoelectric nano shell is studied. First order shear deformation theory and nonlocal elasticity theory is employed to derive governing equations of motion based on Hamilton's principle. The doubly curved piezoelectric nano shell is resting on Pasternak's foundation. A parametric study is presented to investigate the influence of significant parameters such as nonlocal parameter, two radii of curvature, and ratio of radius to thickness on the fundamental frequency of doubly curved piezoelectric nano shell.

PROFILE을 이용한 근관형성 시 ANTICURVATURE FILING방법의 영향 (EFFECT OF ANTICURVATURE FILING METHOD ON PREPARATION OF THE CURVED ROOT CANAL USING PROFILE)

  • 송현지;장주혜;조경모;김진우
    • Restorative Dentistry and Endodontics
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    • 제30권4호
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    • pp.327-334
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    • 2005
  • 본 연구에서는 ProFile로 근관형성 시 anticurvature filing 방법의 영향을 평가하고자 하였다 변형된 Bramante 법을 이용해 36개의 레진 블록을 치근단으로부터 8mm부위와 근관의 최대 만곡 부위에서 절단한 후 재조립하였다. 근관형성의 동작에 따라 anticurvature filing motion, circumferential filing motion, straight up-and-down motion의 3가지 실험군으로 분류한 다음 ProFile로 근관을 형성하였으며, 술 전$\cdot$후의 단면을 stereomicroscope로 촬영, 저장하고 중첩하여 근관 단면의 변화와 근관의 중심 이동률을 비교 평가하였다. 모든 위치에서 단면적 변화량, 만곡 내측으로의 형성량과 중심 이동률은 세 군간에 유의한 차이가 없었으며, 만곡 외측으로의 형성량은 치근단으로부터 8mm 부위에서 anticurvature filing motion, circumferential filing motion, straight up-and-down motion의 순으로 많았으나, 근관의 최대 만곡 부위에서는 차이가 없었다 이상의 결과에서 만곡 근관의 위험 부위에서 ProFile로 근관형성 시 anticurvature filing motion의 영향은 다른 motion과 비교해 볼 때 유의할 만한 차이가 없는 것으로 생각된다.

유체가 흐르는 곡선관의 진동 해석과 비선형 평형 방정식 (Vibration Analysis and Non-linear Equilibrium Equations of a Curved Pipe Conveying Fluid)

  • 정두한;정진태
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2005년도 춘계학술대회논문집
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    • pp.983-986
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    • 2005
  • Free vibration characteristics of a curved pipe conveying fluid is studied when the pipe is clamped at both ends. Using the perturbation method, the non-linear governing equations divided into two parts; the steady state non-linear equilibrium equations and the linearized equations of motion in the neighborhood of the equilibrium position. The natural frequencies are computed from the linearized equations of motion. In this study, the equilibrium positions are determined by two types of equations, i.e., (1) the non-linear equations, and (2) the equations obtained by neglecting the non-linear terms. The natural frequencies obtained from the non-linear equilibrium equations are compared to those obtained from the linearized equilibrium equations. From the results, as the fluid velocity increases, the equilibrium position should be determined from the nonlinear equations for the vibration analysis of the curved pipe conveying fluid.

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