• 제목/요약/키워드: Motion equation

검색결과 1,821건 처리시간 0.024초

The vertical spanning strip wall as a coupled rocking rigid body assembly

  • Sorrentino, Luigi;Masiani, Renato;Griffith, Michael C.
    • Structural Engineering and Mechanics
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    • 제29권4호
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    • pp.433-453
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    • 2008
  • The equation of motion of a one way (vertical) spanning strip wall, as an assembly of two rigid bodies, is presented. Only one degree of freedom is needed to completely describe the wall response as the bodies are assumed to be perfectly rectangular and are allowed to rock but not to slide horizontally. Furthermore, no arching action occurs since vertical motion of the upper body is not restrained. Consequently, the equation of motion is nonlinear, with non constant coefficients and a Coriolis acceleration term. Phenomena associated with overburden to self weight ratio, motion triggering, impulsive energy dissipation, amplitude dependency of damping and period of vibration, and scale effect are discussed, contributing to a more complete understanding of experimental observations and to an estimation of system parameters based on the wall characteristics, such as intermediate hinge height and energy damping, necessary to perform nonlinear time history analyses. A comparison to a simple standing, or parapet, wall is developed in order to better highlight the characteristics of this assembly.

다중 OWC챔버 구조물의 운동해석 (A Study on the Multiple OWC Chamber Motion in Waves)

  • 홍도천;홍사영;홍석원
    • 한국해양공학회:학술대회논문집
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    • 한국해양공학회 2002년도 추계학술대회 논문집
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    • pp.202-205
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    • 2002
  • The motion of a floating body with multiple owe chambers in waves is studied taking account of fluctuating air pressure in the chambers. The atmospheric pressure drop in one chamber is interrelated with the drop in the other chamber. Velocity potential in the water due to the free surface oscillating pressure patches is calculated by making use of the hybrid Green integral equation. The chamber motion in the frequency domain is calculated for various values of parameters related to the atmospheric pressure drop in the multiple chambers.

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On the eigenvalues of a uniform rectangular plate carrying any number of spring-damper-mass systems

  • Chen, Der-Wei
    • Structural Engineering and Mechanics
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    • 제16권3호
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    • pp.341-360
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    • 2003
  • The goal of this paper is to determine the eigenvalues of a uniform rectangular plate carrying any number of spring-damper-mass systems using an analytical-and-numerical-combined method (ANCM). To this end, a technique was presented to replace each "spring-damper-mass" system by a massless equivalent "spring-damper" system with the specified effective spring constant and effective damping coefficient. Then, the mode superposition approach was used to transform the partial differential equation of motion into the matrix equation, and the eigenvalues of the complete system were determined from the associated characteristic equation. To verify the reliability of the presented theory, all numerical results obtained from the ANCM were compared with those obtained from the conventional finite element method (FEM) and good agreement was achieved. Since the order of the property matrices for the equation of motion obtained from the ANCM is much lower than that obtained from the FEM, the CPU time required by the ANCM is much less than that by the FEM.

복소 전단탄성계수를 갖는 다층 감쇠보의 유한요소 진동 해석 (Finite Element Vibration Analysis of Multi-layered Damped Sandwich Beam with Complex Shear Modulus)

  • 배승훈;원성규;정의봉;조진래;배수룡
    • 한국소음진동공학회논문집
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    • 제21권1호
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    • pp.9-17
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    • 2011
  • In this paper, the general equation of motion of damped sandwich beam with multi-viscoelastic material layer was derived based on the equation presented by Mead and Markus. The viscoelastic layer, which has characteristics of complex shear modulus, was assumed to be dominantly under shear deformation. The equation of motion of n-layered damped sandwich beam in bending could be represented by (n+3)th order ordinary differential equation. Finite element model for the n-layered damped sandwich beam was formulated and programmed using higher order shape functions. Several numerical examples were implemented to show the effects of damped material.

풍동을 이용한 밸브제트에서 난류제트 유동고찰 (Investigation on the tunulent flow of the valve jet experimented using a wind tunnel)

  • 노병준
    • 대한기계학회논문집
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    • 제5권4호
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    • pp.257-265
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    • 1981
  • A modified subsonic wind tunnel was employed to investigate the turbulent flow of a valve jet. To effectuate this experimental study, an actual valve and valve seat of a diesel engine were equipped at its outlet (ref. Fig. 3) Theoretically, using the equation of motion of Navier-Stokes in the chlindrical coordinates, the turbulent equation of motion for the incompressible fluid was derived with three assumptions; steady flow (.delta./.delta.t=0), axisymmetry and revolutionary homogeneity(.delta./.delta..phi.=0), no ensemble revolution (V.iden.0). Experimentally, mean and fluctuation velocities have been measured in the redial direction. With a assumption of a non-dimensional velocity distribution equation, a sami-emperical similarity profile equation of the jet flow have been derived, whose empirical constants were deterimed graphically with the data obtained.

하드디스크 슬라이더의 동적수치해석 (A Numerical Dynamic Simulation of the Slider in HDD)

  • 김도완;임윤철
    • 한국윤활학회:학술대회논문집
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    • 한국윤활학회 1999년도 제30회 추계학술대회
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    • pp.146-153
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    • 1999
  • A numerical dynamic simulation is necessary to investigate the capacity of the HDD. The slider surface become more and more complicated to make the magnetized area smaller and readback signal stronger. So a numerical dynamic simulation must be preceded to develop a new slider in HDD. The dynamic simulations of air-lubricated slider bearing have been peformed using FIFD(Factored Implicit Finite Difference) method. The governing equation, Reynolds equation Is modified with Fukui and Kaneko model(FK model) which includes the first and the second-order slip. The equations of motion for the slider bearing are solved simultaneously with the modified Reynolds equation for the case of three degrees of freedom. The slider transient response for disk step bump and slider impulse force is given for various case and for iteration algorithm and new algorithm.

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전달오차와 백래쉬에 의한 기어 구동계의 비선형 동특성 해석 (Nonlinear Dynamic Analysis of Gear Driving System due to Transmission Error and Backlash)

  • 최연선;이봉현;신용호
    • 한국자동차공학회논문집
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    • 제5권1호
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    • pp.69-78
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    • 1997
  • Main sources of the vibration in gear driving system are transmission error and backlash. Transmission error is the difference of the rotation between driving and driven gear due to tooth deformation and profile error. Vibro-impacts induced by backlash between meshing gears lead to excessive vibration and noise in many geared rotation systems. Nonlinear dynamic characteristics of the gear driving system due to transmi- ssion error and backlash are investigated. Transmission error is calculated for spur gear. Nonlinear equation of motion for the gear driving system is developed with the calculated transmission error and backlash. Numerical analysis of the equation and the experimental results show the existence of meshing frequency, superharmonic compon- ents. Instability of the gear driving motion is found on the basis of Mathieu equation. Rattle vibration due to backlash is also discussed on the basis if nonlinear jump phenomenon.

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