• Title/Summary/Keyword: Vibration Equation

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Vibration of Liquid-filled Cylindrical Storage Tank with an Annular Plate Cover (환원판 덮개를 갖는 원통형 연료탱크의 진동해석)

  • 김영완
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.13 no.10
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    • pp.751-759
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    • 2003
  • The theoretical method is developed to investigate the vibration characteristics of the sloshing and bulging mode for the circular cylindrical storage tank with an annular plate on free surface. The cylindrical tank is filled with an inviscid and incompressible liquid. The liquid domain is limited by a rigid cylindrical surface and a rigid flat bottom. As the effect of free surface waves Is taken into account in the analysis, the bulging and sloshing modes are studied. The solution for the velocity potential of liquid movement is assumed as a suitable harmonic function that satisfies Laplace equation and the relevant boundary conditions. The Rayleigh-Ritz method is used to derive the frequency equation of the cylindrical tank. The effect of Inner-to-outer radius ratio and thickness of annular plate and liquid volume on vibration characteristics of storage tank is studied. The finite element analysis is performed to demonstrate the validity of present theoretical method.

ON THE DEVELOPMENT OF EXPLOSION TECHNOLOGY IN SEOUL METRO SUBWAY CONSTRUSTION (서울 지하철 건설의 발파기술 발전)

  • 許眞
    • Explosives and Blasting
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    • v.18 no.1
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    • pp.59-70
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    • 2000
  • The blasting work to construct a subway in seoul, korea have often cased increased neighbor's complaints because of ground vibration. In order to prevent the demage to the stucture it was necessary to predict the level of blasting induced vibration and to determine the maximum charge weigh per delay with an allowable vibration level. The effect of blasting pattem, rock strength and different explosive on the blast-induced ground vibration was studied to determine the maximum charage weight per delay within a given vibration level. The blasting vibration equation from over 100 test data was obtained, V= K(D/W(equation omitted), where the values for n and K are estimated to be 1.7 to 1.5 and 48 to 138 respectively.

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Development of Objective Vehicle Ride Index (차량 승차감 평가지수 개발에 관한 연구)

  • 장한기;김승한;정용현;장진희
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2001.11a
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    • pp.450-454
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    • 2001
  • The aim of the study is to develope an objective index for the evaluation of vehicle ride comfort using the measured vehicle accelerations. The equation of the index was derived from the correlation analysis of subjective ratings on selected vehicles and the reduced measure of the vehicle motions. First whole procedure of from the measurements to the calculation of the perceptual vibration was developed. Test condition of both the vehicle speed and the road condition was selected so as to maximize the reliability of the index. This paper suggested the equation of the objective ride index on vibration harshness, of which expected error is about 0.3 in 10 scale of subjective rating at 95% of the significance level.

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Study on Structural Vibration Analysis and Design Optimization of Rotating Composite Cylindrical Shells with Cutout (회전운동을 고려한 Cutout이 있는 복합재료 원통셸의 구조진동해석 및 최적설계)

  • 이영신;김영완
    • Journal of KSNVE
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    • v.8 no.3
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    • pp.467-476
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    • 1998
  • The free vibration analysis and design optimization of the rotating composite cylindrical shells with a rectangular cutout are investigated by theoretical method. The Love's thin shell theory is used to derive the frequency equation. The theoretical results are obtained by application of the energy method employing the Rayleigh-Ritz procedure. The used circumferential vibration modes are trigonometric functions, the axial modes are the beam modal functions chosen to satisfy the prescribed boundary conditions. To check the validity, the theoretical results are compared with experimental, FEM and other theoretical results.

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Vibration of an Axially Moving String Coupled between Longitudinal and Transverse Deflections (종방향과 횡방향 변위가 연성된 축방향으로 움직이는 현의 진동)

  • Chung, J.T.;Shin, C.H.;Han, C.S.
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2000.06a
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    • pp.731-736
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    • 2000
  • The vibration of an axially moving string is studied when the string has geometric non-linearity and translating acceleration. Based upon the von karman strain theory, The equation for the longitudinal vibration is linear and uncoupled, while the equation for the transverse vibration is non-linear and coupled between the longitudinal and transverse deflections. The governing equations are discretized by using the Galerkin approximation. With the discretized nonlinear equations, the time responses are investigated by using the generalized-${\alpha}$ method.

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Quantitative Analysis and Mathematical Model for Spindle Vibration of the End-Milling by Design of Experiment (실험계획법을 이용한 엔드밀 가공시 주축 진동에 대한 정량적 분석 및 수학적 모형)

  • Park, Heung-Sik;Lee, Sang-Jae;Bae, Hyo-Jun;Jin, Dong-Kyu;Kim, Young-Hee
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.3 no.4
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    • pp.37-42
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    • 2004
  • End-milling have been widely used in aircraft, automobile part and moulding industry. However, various working factors such as spindle speed, feed rate and depth of cut in end-milling have an effect on spindle vibration. There it is demanded the quantitative analysis of spindle vibration in order to get the optimum surface roughness. This study was carried out to analyze an influence of working factors on spindle vibration by design of Experiment. The results are shown that mathematical model of regression equation for an influence of working factors on vibration acceleration of spindle in end-milling by regression analysis is presented.

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Dynamic Modeling and Analysis for an Axially moving String (축방향 이송속도를 갖는 현의 모델링 및 진동해석)

  • 신창호;정진태;한창수
    • Journal of KSNVE
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    • v.10 no.5
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    • pp.838-842
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    • 2000
  • The vibration of an axially moving string is studied when the string has geometric non-linearity and translating acceleration. Based upon the von karman strain theory, the equations of motion are derived considering the longitudinal and transverse deflection. The equation for the longitudinal vibration is linear and uncoupled, while the equation for the transverse vibration is non-linear and coupled between the longitudinal and transverse deflections. These equations are discretized by using the Galerkin approximation after they are transformed into the variational equations, i.e. the weak forms so that the admissible and comparison functions can be used for the bases of the longitudinal and transverse deflections respectively. With the discretized nonlinear equations, the time responses are investigated by using the generalized-$\alpha$ method.

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A study on the modelling of power transformer winding vibration (변압기 권선진동의 모형화 연구)

  • Lee, Sung-Ho;Kang, Chang-Gu;Kim, Jae-Chul;Chung, Chan-Soo;Kwak, Hee-Ro;Joo, Byung-Soo;Yoon, Jin-Yeol;Chung, Sang-Jin
    • Proceedings of the KIEE Conference
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    • 1994.07a
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    • pp.216-218
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    • 1994
  • This paper established on vibration model of transformer winding caused, mainly, by load current. We considered the rotations between loads and vibration amplitudes by changing load current in constant temperature and voltage, to get the modeling of transformer winding vibration. Equation between loads and vibration signal's amplitudes using LS approximation mode it possible to predict a vibration signal's amplitude at any load. With this equation, we arc willing to establish the basis data for power transformer diagnosis.

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Modeling and Longitudinal Vibration Analysis for an Axially Moving Membrane (축방향으로 움직이는 박막의 모델링 및 종진동해석)

  • Shin, Chang-Ho;Chung, Jin-Tai
    • Proceedings of the KSME Conference
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    • 2001.06b
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    • pp.613-617
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    • 2001
  • The longitudinal vibration of an axially moving membrane is studied when the membrane has translating acceleration. The equation for the longitudinal vibration is linear and coupled, The equation for the longitudinal vibration are discretized by using the Galerkin approximation after they are transformed into the variational equations, i.e., the weak forms so that the admissible function can be used for the bases of the longitudinal deflection. With the discretized equations for the longitudinal vibration, the time responses are investigated by using newmark method.

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A Study on the Vertical, Horizontal and Torsional Vibration of Ship(1st Report) (배의 상하(上下), 수평(水平) 및 비틂진동(振動)에 관(關)하여(제1보)(第1報) -Box형(型) Barge의 상하진동(上下振動)에 대(對)하여-)

  • Sa-Soo,Kim
    • Bulletin of the Society of Naval Architects of Korea
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    • v.8 no.2
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    • pp.1-12
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    • 1971
  • This paper describes, firstly, on analytical method of computing the eigenvalues of vertical vibration of ships, taking into account for the distribution of hull weight including added mass and the effect of shear deflection and rotary inertia. The frequency equation is solved by Galerkins method into form of numerical integration. Applying the above described equation, model experiment of vertical vibration was carried out in order to varify the validity of the analytical method of vertical vibration. The model, which was made of acrylite plate, was ship-shaped wall-sided vessel with bulkheads, deck openings, and fore and after peak tank at both ends. The results of experiments carried out both in air and on water showed that the observed natural frequencies and the observed patterns of natural modes of vibration were in good agreement with analytically calculated values for 2,3, and 4-node vibration.

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