• 제목/요약/키워드: moment equation approach

검색결과 52건 처리시간 0.027초

고속 연삭기 주축 시스템의 회전체 역학 해석 (Rotor Dynamics Analysis of a Spindle System for a High speed Grinding Machine)

  • 최영휴
    • 한국공작기계학회:학술대회논문집
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    • 한국공작기계학회 2000년도 춘계학술대회논문집 - 한국공작기계학회
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    • pp.714-719
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    • 2000
  • This paper describes a transfer matrix approach to analyze the dynamics of a high sped flexible rotor system supported at 2 positions by five ceramic bearings. The rotor system is modelled as lumped parameters in which many factors are considered not only lumped inertia or mass, bending moment, shear force but also gyroscopic effect and unbalance. The equation of motion is derived in the transfer matrix form, from which the eigenvalues equation is also derived. The transfer natural frequencies and modes. The eigenvalues, eigenmodes, campbell diagram, whirling critical speed, whirling modes, and the response of unbalance are calculated and discussed.

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Application of the Boundary Element Method to Finite Deflection of Elastic Bending Plates

  • Kim, Chi Kyung
    • International Journal of Safety
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    • 제2권1호
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    • pp.39-44
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    • 2003
  • The present study deals with an approximate integral equation approach to finite deflection of elastic plates with arbitrary plane form. An integral formulation leads to a system of boundary integral equations involving values of deflection, slope, bending moment and transverse shear force along the edge. The basic principles of the development of boundary element technique are reviewed. A computer program for solving for stresses and deflections in a isotropic, homogeneous, linear and elastic bending plate is developed. The fundamental solution of deflection and moment is employed in this program. The deflections and moments are assumed constant within the quadrilateral element. Numerical solutions for sample problems, obtained by the direct boundary element method, are presented and results are compared with known solutions.

Energy-factor-based damage-control evaluation of steel MRF systems with fuses

  • Ke, Ke;Yam, Michael C.H.
    • Steel and Composite Structures
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    • 제22권3호
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    • pp.589-611
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    • 2016
  • The primary objectives of this research are to investigate the energy factor response of steel moment resisting frame (MRF) systems equipped with fuses subject to ground motions and to develop an energy-based evaluation approach for evaluating the damage-control behavior of the system. First, the energy factor of steel MRF systems with fuses below the resilience threshold is derived utilizing the energy balance equation considering bilinear oscillators with significant post-yielding stiffness ratio, and the effect of structural nonlinearity on the energy factor is investigated by conducting a parametric study covering a wide range of parameters. A practical transformation approach is also proposed to associate the energy factor of steel MRF systems with fuses with classic design spectra based on elasto-plastic systems. Then, the energy balance is extended to structural systems, and an energy-based procedure for damage-control evaluation is proposed and a damage-control index is also derived. The approach is then applied to two types of steel MRF systems with fuses to explore the applicability for quantifying the damage-control behavior. The rationality of the proposed approach and the accuracy for identifying the damage-control behavior are demonstrated by nonlinear static analyses and incremental dynamic analyses utilizing prototype structures.

Estimation of excitation and reaction forces for offshore structures by neural networks

  • Elshafey, Ahmed A.;Haddara, M.R.;Marzouk, H.
    • Ocean Systems Engineering
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    • 제1권1호
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    • pp.1-15
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    • 2011
  • Offshore structures are subjected to wind loads, wind generated wave excitations, and current forces. In this paper we focus on the wind generated wave excitations as the main source for the external forces on the structure. The main objective of the paper is to provide a tool for using deck acceleration measurements to predict the value of the force and moment acting on the offshore structure foundation. A change in these values can be used as an indicator of the health of the foundation. Two methods of analysis are used to determine the relationship between the force and moment acting on the foundation and deck acceleration. The first approach uses neural networks while the other uses a Fokker-Planck formulation. The Fokker-Plank approach was used to relate the variance of the excitation to the variance of the deck acceleration. The total virtual mass of the equivalent SDOF of the structure was also determined at different deck masses.

철근콘크리트 단순보의 유효 단면2차모멘트에 대한 모멘트 분포 형상의 영향 분석 (Analysis on the Influence of Moment Distribution Shape on the Effective Moment of Inertia of Simply Supported Reinforced Concrete Beams)

  • 박미영;김상식;이승배;김창혁;김강수
    • 콘크리트학회논문집
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    • 제21권1호
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    • pp.93-103
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    • 2009
  • 철근콘크리트 휨 부재의 처짐 산정에는 일반적으로 유효 단면2차모멘트의 개념이 적용되고 있으며, 콘크리트 구조설계기준에서는 처짐의 간편한 계산을 위하여 Branson이 제안한 유효 단면2차모멘트를 부재의 전 경간에 동일하게 대표값으로 사용하고 있다. 그러나, 기준에서 제시된 유효 단면2차모멘트는 등분포하중을 전제로 제안되었으므로 다른 하중상태에서도 기준식의 정확성에 대해 검증할 필요가 있다. 따라서, 이 연구에서는 모멘트 분포 형상이 처짐 계산에 필요한 유효 단면2차모멘트에 미치는 영향을 실험적으로 검증하기 위해 콘크리트 강도와 지점에서부터 가력점까지의 거리를 주요변수로 하여 총 6개의 철근콘크리트 보 실험체를 제작하여 구조실험을 수행하고, 실험결과를 기준식 및 다른 연구자들이 제안한 식과 비교 분석하였다. 또한, 모멘트 분포형상을 고려할 수 있는 변분해석에 의한 처짐 산정 방법을 제안하였다. 실험 결과, 보의 유효 단면2차모멘트는 모멘트 분포 형상에 따라 다소 차이가 있었으나 기준식은 이를 반영하지 못한 것으로 나타났다. 이 연구에서 제안한 변분해석에 의한 처짐값과 실험값의 비율이 기준식에 비해 변동폭이 작게 나타났으며, 따라서, 모멘트 분포 형상의 영향을 고려한 부재의 처짐 산정에 유용한 방법이라고 판단된다. 그러나, 실험값과는 다소 차이가 있어 처짐 형상 함수의 개선을 통하여 이를 보완할 수 있는 추후 연구가 필요한 것으로 판단된다.

모멘트 분포 형상에 따른 철근콘크리트 단순보의 유효 단면2차모멘트에 대한 실험적 연구 (Experimental Study on the Influence of Moment Distribution Shape on the Effective Moment of Inertia of Simply Supported)

  • 박미영;이승배;김강수;김상식
    • 한국콘크리트학회:학술대회논문집
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    • 한국콘크리트학회 2008년도 춘계 학술발표회 제20권1호
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    • pp.329-332
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    • 2008
  • 철근콘크리트 구조물의 사용성을 검토할 때 처짐은 가장 중요한 사항 중 하나이며, 철근콘크리트 휨 부재의 처짐은 일반적으로 유효 단면2차모멘트의 개념을 적용하여 구해진다. 기준에서 유효 단면2차모멘트는 Branson이 제안한 식을 사용하고 있지만, 이 식은 등분포하중을 전제로 제안된 식이므로 다른 하중상태에서 기준식의 정확성에 대해 검증할 필요가 있다. 따라서, 이 연구에서는 콘크리트 강도와 지점에서부터 가력점까지의 거리를 주요변수로 하여 총 6개의 철근콘크리트 보 실험체를 제작하여 구조실험을 수행하고, 실험결과를 기준식 및 다른 연구자들이 제안한 식과 비교 분석하였다. 실험결과, 보의 유효 단면2차모멘트는 모멘트 분포 형상에 따라 다소 차이가 있었으며, 일반강도 실험체보다 고강도 실험체에서 차이가 더 크게 나타났다. 그럼에도 불구하고, 모든 실험체에 대하여 이론값들이 실험으로부터 구한 유효 단면2차모멘트를 근사하게 예측할 수 있는 것으로 나타났다.

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Nonlinear ship rolling motion subjected to noise excitation

  • Jamnongpipatkul, Arada;Su, Zhiyong;Falzarano, Jeffrey M.
    • Ocean Systems Engineering
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    • 제1권3호
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    • pp.249-261
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    • 2011
  • The stochastic nonlinear dynamic behavior and probability density function of ship rolling are studied using the nonlinear dynamical systems approach and probability theory. The probability density function of the rolling response is evaluated through solving the Fokker Planck Equation using the path integral method based on a Gauss-Legendre interpolation scheme. The time-dependent probability of ship rolling restricted to within the safe domain is provided and capsizing is investigated from the probability point of view. The random differential equation of ships' rolling motion is established considering the nonlinear damping, nonlinear restoring moment, white noise and colored noise wave excitation.

Laplace변환을 이용한 판 진동문제의 경계적분방정식 정식화 (A Boundary Integral Formulation for Vibration Problems of Plate using Laplace Transform)

  • 이성민;서일교;권택진
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1994년도 봄 학술발표회 논문집
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    • pp.9-16
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    • 1994
  • In this paper, a boundary integral equation for transient plate bending problem is proposed. Approach, using laplace transform is considered. The boundary integral equations with respect to deflection, normal slope, bending moment effective shear are presented and the effect of corner point is considered.

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철골구조물의 변형능력평가를 위한 MPA 방법의 적용성 검토 (Application of Modal Pushover Analysis for Deformation Capacity Evaluation of Steel Moment Frames)

  • 최원호;김기주;이동근
    • 한국지진공학회:학술대회논문집
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    • 한국지진공학회 2002년도 추계 학술발표회 논문집
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    • pp.266-273
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    • 2002
  • Pushover analysis is frequently used for evaluation of seismic performance and determination of seismic demand of a building structure in the current structural engineering practice field. However, pushover analysis has a advantage for estimation of seismic demands, which cannot account for the contributions of higher modes to response or for a redistribution of inertia forces because of structural yielding and the associated changes in the vibration properties of the structures. Recently, Chopra and Coel(2001) derived uncoupled inelastic dynamic equation of motion with several assumptions in the pushover analysis. By using this approach, pushover analysis for each mode is carried out and modal pushover analysis method, which can consider higher mode effects of the building, was suggested. The principle objective of this study is to introduced the modal pushover analysis by Chopra et al.(2001) and investigated the applicability and validity of this method for the steel moment frames subjected to various earthquake ground motions.

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유공 합성보의 강도식에 관한 연구 (Ultimate Strength of Composite Beams with Unreinforced Web Opening)

  • 김창호;박종원;김희구
    • 콘크리트학회논문집
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    • 제12권5호
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    • pp.101-110
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    • 2000
  • A practical approach of calculating the ultimate strength of composite beams with unreinforced web opning is proposed through shear behavioral tests. In this method, the slab shear contribution at the opening is calculated as the smaller value of the pullout capacity of shear connector at the high moment end and the one way shear capacity of slab. A simple interaction equation is used to predict the ultimate strength under simultaneous bending moment and shear force. Strength prediction by the proposed method is compared with previous test results and the predictions by other analytical methods. The comparison shows that the proposed method predicts the ultimate capacity with resonable accuracy.