• Title/Summary/Keyword: perturbation analysis

검색결과 639건 처리시간 0.028초

궤도섭동을 고려한 저궤도 위성의 추진제 소모량 예측 및 궤도 해석 (The Estimation of Fuel Consumption of Satellites and Orbit Analysis under Orbit Perturbations)

  • 정도희;이상기
    • 한국추진공학회:학술대회논문집
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    • 한국추진공학회 2003년도 제21회 추계학술대회 논문집
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    • pp.65-70
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    • 2003
  • 본 연구에서는 섭동가속도의 변화식으로 주어지는 궤도 섭동 방정식으로부터 지구 편원현상과 대기저항에 의해 기인하는 궤도요소들의 변화를 표현하고 궤도 일회전당 변화량을 근거로 하여 대기저항에 의한 속도 보정과 그에 필요한 연료소모량을 효과적으로 예측하는 방법을 제시하고 그 기법을 다목적위성 궤도해석에 적용하였다. 그리고 궤도 해석을 위해 위성에 영향을 미치는 섭동력을 비대칭 중력장, 대기 저항력, 태양과 달의 인력, 태양 복사압에 의한 영향을 계산하여 정량적으로 비교 분석하였다.

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Pade근사를 이용한 준해석 구조 민감도의 해석 (The Semi-Analytic Structural Sensitivity Using Pade Approximation)

  • 단호진;이병채
    • 대한기계학회논문집A
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    • 제26권12호
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    • pp.2631-2635
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    • 2002
  • The semi-analytic sensitivity analysis using Pade approximation is presented for linear elastic structures. Although the semi-analytic method has several advantages, accuracy of the method prevents it from practical application. One of promising remedies is the use of geometric series for the matrix inversion. Though series expansion of order three has been successfully applied to the calculation of the structural sensitivity in the most range of the design perturbation, it is prone to have a slow convergence for large perturbation. To overcome this shortage, Pade approximation is introduced so that it can broaden the trust region of the perturbation without adding expansion terms. Numerical results show that the confident sensitivity can be obtained with tiny expenses of computation effort.

확률 유한요소 이차섭동법을 사용한 구조물 최적설계 (Structural Optimization Using Stochastic Finite Element Second-Order Perturbation Method)

  • 임오강;이병우
    • 대한기계학회논문집
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    • 제19권8호
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    • pp.1822-1831
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    • 1995
  • A general formulation of the design optimization problem with the random parameters is presented here. The formulation is based on the stochastic finite element second-order perturbation method ; it takes into full account of the stress and displacement constraints together with the rates of change of the random variables. A method of direct differentiation for calculating the sensitivity coefficients in regard to the governing equation and the second-order perturbed equation is derived. A gradient-based nonlinear programming technique is used to solve the problem. The numerical results are specifically noted, where the stiffness parameter and external load are treated as random variables.

A Practical Method for Estimating High-Energy X-Ray Spectra Using the Iterative Perturbation Principle of Waggener

  • Iwasaki, Akira;Matsutani, Hideya;Kubota, Mamoru;Fujimori, Akira;Suzaki, Katsumasa;Abe, Yoshinao
    • 한국의학물리학회:학술대회논문집
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    • 한국의학물리학회 2002년도 Proceedings
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    • pp.263-266
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    • 2002
  • We have developed a practical method for estimating high-energy x-ray spectra using measured attenuation curves. This method is based on the iterative perturbation technique proposed by Waggener et al. The principle is to minimize the difference between the measured and calculated transmission curves. The experimental study was made using 4 MV, 10 MV, and 15 MV x-ray beams. It has been found that the spectrum varies strongly with the off-axis distance.

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수학적 섭동법을 이용한 저널과 스러스트가 연성된 유체 동압 베어링의 동특성 계수 해석 (Determination of the Dynamic Coefficients of the Coupled Journal and Thrust Bearings by the Perturbation Method)

  • 이상훈;장건희
    • 한국소음진동공학회논문집
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    • 제16권7호
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    • pp.746-753
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    • 2006
  • This paper proposes a method to calculate the stiffness and the damping coefficients of the coupled journal and thrust bearings. The Reynolds equations and their perturbation equations are transformed to the finite element equations by considering the continuity of pressure and flow at the interface between bearings. The Reynolds boundary condition is used in the numerical analysis to simulate the cavitation phenomena. The dynamic coefficients of the proposed method are compared with those of the numerical differentiation of the loads with respect to finite displacements and velocities of bearing center. It shows that the proposed method is more accurate and efficient than the differentiation method.

Sensor selection approach for damage identification based on response sensitivity

  • Wang, Juan;Yang, Qing-Shan
    • Structural Monitoring and Maintenance
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    • 제4권1호
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    • pp.53-68
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    • 2017
  • The response sensitivity method in time domain has been applied extensively for damage identification. In this paper, the relationship between the error of damage identification and the sensitivity matrix is investigated through perturbation analysis. An index is defined according to the perturbation amplify effect and an optimal sensor placement method is proposed based on the minimization of that index. A sequential sub-optimal algorithm is presented which results in consistently good location selection. Numerical simulations with a two-dimensional high truss structure are conducted to validate the proposed method. Results reveal that the damage identification using the optimal sensor placement determined by the proposed method can identify multiple damages of the structure more accurately.

The Effect of Oil Supply Conditions on the Dynamic Performance of a Hydrodynamic Journal Bearing

  • Son, Sang-Ik;Kim, Kyung-Woong
    • KSTLE International Journal
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    • 제10권1_2호
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    • pp.6-12
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    • 2009
  • In this study, the effect of oil supply conditions on the dynamic performance of a hydrodynamic journal bearing is analyzed numerically. Axial length, circumferential length and location of oil grooves are considered as oil supply conditions. The perturbation equations of the perturbed film contents are obtained by applying Elrod's universal equation implementing JFO film rupture / reformation boundary conditions to Lund's infinitesimal perturbation method. The dynamic coefficients of a hydrodynamic journal bearing are calculated by solving the perturbation equations, and the linear stability analysis is carried out by using those for a variety of oil supply conditions.

수학적 섭동법을 이용한 저널과 스러스트가 연성된 유체 동압 베어링의 동특성 계수 해석 (Determination of the Dynamic Coefficients of the Coupled Journal and Thrust Bearings by the Perturbation Method)

  • 이상훈;장건희
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2006년도 춘계학술대회논문집
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    • pp.666-671
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    • 2006
  • This paper proposes a method to calculate the stiffness and the damping coefficients of the coupled journal and thrust bearings. The Reynolds equations and their perturbation equations are transformed to the finite element equations by considering the continuity of pressure and flow at the interface between bearings. The Reynolds boundary condition is used in the numerical analysis to simulate the cavitation phenomena. The dynamic coefficients of the proposed method are compared with those of the numerical differentiation of the loads with respect to finite displacements and velocities of bearing center. It shows that the proposed method is more accurate and efficient than the differentiation method.

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Analysis of the hematopoiesis process in mammalian bone using homotopy perturbation method

  • Akano, Theddeus T.;Nwoye, Ephraim O.;Adeyemi, Segun
    • Biomaterials and Biomechanics in Bioengineering
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    • 제5권1호
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    • pp.51-64
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    • 2020
  • In this study, the mathematical model that describes blood cell development in the bone marrow (i.e., hematopoiesis) has been studied via the Homotopy Perturbation Method (HPM). The results from the present work compared very well with the numerical solutions from published literature. This work has shown that the HPM is viable for solving delay differential equations born from hematopoiesis problem. The influence of the proliferating cells loss rate, time delay rate and the phase re-entry rate on the population densities of both the proliferating and resting cells were also determined through the underlined procedure.

공진기 섭동방법을 이용한 마이크로파 페라이트의 복소 유전율과 선폭 측정 (Complex Permittivity and Linewidth Measurements of Microwave Ferrites Using the Cavity Perturbation Method)

  • 엄동진;오호석;박동철;윤상원
    • 전자공학회논문지A
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    • 제30A권4호
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    • pp.11-19
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    • 1993
  • The complex permittivity and the linewidth of microwave ferrites are measured using the well known cavity perturbation method. The cavity perturbation method has been widely used for the measurement of complex permittivity and conductivity of low loss magnetic and dielectric materials at microwave frequencies. TT1-2000, TT73-2200, and G-113 samples ordered from Trans-Tech Inc, are tested. TE$_{103}$ and TE$_{106}$ rectangular waveguide cavities are fabricated and the ferrite sample of cylidrical rod and sphere shapes are prepared. The error between the measurement values and the supplier's data is less than 1 percent in case of $\varepsilon$’ and about 10 percent in case of linewidth ($\Delta$H). Worst case error analysis shows that our measured results are well within the error bound calculated from the accuracy specification of the measuring instruments.

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