• Title/Summary/Keyword: perturbation analysis

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

  • 정도희;이상기
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • 2003.10a
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    • pp.65-70
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    • 2003
  • In this work variations of orbital parameters are first derived from the perturbation equations using difference equation method under Earth oblateness and atmospheric drag. A simple and effective scheme is proposed to compute the required delta v and fuel consumption to compensate for atmospheric drag. The scheme is applied to KOMPSAT example. And by means of numerical simulations we quantitatively analyze influences due to each perturbation source, i.e., nonspherical Earth, atmospheric drag, third body gravities (Sun, Moon), and solar radiation.

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

  • Dan, Ho-Jin;Lee, Byung-Chai
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.26 no.12
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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.

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

  • 임오강;이병우
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.19 no.8
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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
    • Proceedings of the Korean Society of Medical Physics Conference
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    • 2002.09a
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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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Determination of the Dynamic Coefficients of the Coupled Journal and Thrust Bearings by the Perturbation Method (수학적 섭동법을 이용한 저널과 스러스트가 연성된 유체 동압 베어링의 동특성 계수 해석)

  • Lee, Sang-Hoon;Jang, Gun-Hee
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.16 no.7 s.112
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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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    • v.4 no.1
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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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    • v.10 no.1_2
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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.

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

  • Lee, Sang-Hoon;Jang, Gun-Hee
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2006.05a
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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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    • v.5 no.1
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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.

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

  • 엄동진;오호석;박동철;윤상원
    • Journal of the Korean Institute of Telematics and Electronics A
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    • v.30A no.4
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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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