• Title/Summary/Keyword: Finite difference sensitivity

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Improving the Dynamic Characteristics of the Pantograph Using the Sensitivity Analysis (동적 민감도 해석을 이용한 판토그래프의 동특성 개선)

  • Kim, Jin-Woo;Park, Tong-Jin;Wang, Young-Yong;Han, Chang-Soo
    • Proceedings of the KSME Conference
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    • 2001.11a
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    • pp.679-685
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    • 2001
  • In this paper, the dynamic response of the pantograph system that supplies electrical power to a high-speed rail vehicle were investigated. The analysis of the catenary based on the Finite Element Method (FEM) is executed to develop a pantograph fits well in high-speed focused on the dynamic characteristic analysis of the pantograph system. By simulation of the pantograph-catenary system, the static deflection of the catenary, the stiffness variation in contact lines, the dynamic response of the catenary undergoing constant moving load and the contact force analysis were executed. In order to consider the design variables that effects on the dynamic characteristic of the pantograph system performed the dynamic sensitivity analysis. From the pantograph-catenary analysis, the design parameters of a pantograph could be improved. From the results of the sensitivity analysis, a pantograph with improved parameters is suitable for a high-speed rail vehicle from the design-parameter analysis.

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Shape Design of Electrode by Sensitivity Analysis (민감도 해석에 의한 전극의 형상설계)

  • Lee, Beom-Taek;Park, Il-Han;Hahn, Song-Yop
    • Proceedings of the KIEE Conference
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    • 1990.11a
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    • pp.15-18
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    • 1990
  • In this paper, in order to optimize the shape of electrode to achieve prescribed electric field intensity distribution along the surface of electrode, sensitivity analysis based on finite element method is proposed. The objective function of this problem is the difference of calculated electric field intensity at given design and prescribed electric field intensity. So, the problem is to find the shape of electrode to minimize the objective function defined above. The result of numerical example shows that maximum electric field error is about 0.1% and the usefulness of this shape optimal design procedure.

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Design Sensitivity in Quasi-One-Dimensional Silicon-Based Photonic Crystalline Waveguides

  • Kinoshita, Takeshi;Shimizu, Akira;Iida, Yukio;Omura, Yasuhisa
    • JSTS:Journal of Semiconductor Technology and Science
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    • v.3 no.1
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    • pp.55-61
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    • 2003
  • This paper describes how the optical properties of a quasi-one-dimensional photonic crystalline waveguide having a periodic air cavity are influenced by various structural parameters; the electromagnetic fields are simulated using the finite-difference time-domain method. The simulations considered four design parameters: cavity size, defect size, lattice constant, and number of cavity. The parameter sensitivity of the photonic bandgap property of the waveguide having air cavities is examined. A couple of significant design guidelines are obtained. We show that the quasi-one-dimensional photonic crystalline waveguide has significant unrealized potential.

Photo-sensing Characteristics of VO2 Nanowires

  • Sohn, Ahrum;Kim, Eunah;Kim, Haeri;Kim, Dong-Wook
    • Proceedings of the Korean Vacuum Society Conference
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    • 2014.02a
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    • pp.197.1-197.1
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    • 2014
  • VO2 has intensively investigated for several decades due to its interesting physical properties, including metal-insulator transition (MIT), thermochromic and thermoelectric properties, near the room temperature. And also gas and photo sensing properties of VO2 nanowires have attracted increasing research interest due to the high sensitivity and multi-sensing capability. We studied the light-induced resistance change of VO2 nanowires. In particular, we have investigated plasmonic enhancement of the photo-sensing properties of the VO2 nanowires. To select proper wavelength, we performed finite-difference time-domain simulations of electric field distribution in the VO2 nanowires attached with Ag nanoparticles. Localized surface plasmon resonance (LSPR) is expected at wavelength of 560 nm. The photo-sensitivity was carefully examined as a function of the sample temperature. In the presentation, we will discuss physical origins of the photo-induced resistance change in VO2.

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Inverse Boundary Temperature Estimation in a Two-Dimensional Cylindrical Enclosure Using Automatic Differentiation and Broyden Combined Method (자동미분법과 Broyden 혼합법을 이용한 2차원 원통형상에서의 경계온도 역추정)

  • Kim Ki-Wan;Kim Dong-Min;Baek Seung-Wook
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.30 no.3 s.246
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    • pp.270-277
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    • 2006
  • Inverse radiation problems were solved for estimating boundary temperature distribution in a way of function estimation approach in an axisymmetric absorbing, emitting and scattering medium, given the measured radiative data. In order to reduce the computational time fur the calculation of sensitivity matrix, automatic differentiation and Broyden combined method were adopted, and their computational precision and efficiency were compared with the result obtained by finite difference approximation.. In inverse analysis, the effects of the precision of sensitivity matrix, the number of measurement points and measurement error on the estimation accuracy had been inspected using quasi-Newton method as an inverse method. Inverse solutions were validated with the result acquired by additional inverse methods of conjugate-gradient method or Levenberg-Marquardt method.

Finite Difference Modeling of a Piled Raft Foundation with Axisymmetry Condition and Interface Element (축대칭 조건 및 경계면 요소를 이용한 Piled Raft 기초의 유한차분 모델링 연구)

  • You, Kwang Ho;Kim, Hyung Ryul;Bae, Sang Han
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.35 no.4
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    • pp.853-861
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    • 2015
  • In this study, FDM modelling with axisymmetry condition and interface element was verified whether it is reasonable to estimate compositive behavior of a piled raft foundation. To this end, the modelling validity of piled raft foundations was estimated by comparing and analyzing numerical analysis results and laboratory model test results. Also, load bearing ratio of a raft is analyzed by performing sensitivity analysis of foundation parameters with the actual field conditions. As a result of this study, correlation between bearing capacity and vertical displacement of numerical results turned out to be similar with that of a laboratory model test. In addition, ultimate bearing capacity of piled rafts and load bearing ratio of the raft is calculated to be similar in both cases. The load bearing ratio of the raft was also estimated to be in the range of 33% to 52% from the sensitivity analysis. The results were confirmed to be similar to the previous studies. Therefore, it can be inferred that piled rafts can be effectively modelled applying axisymmetry condition and interface element.

Sensitivity Analysis of Infiltration using a Mass Conservative Numerical Solution of Richards Equation (Richairds 방정식의 질량보존적 수치해석 해법에 의한 침투량의 민감도분석)

  • Choi, Hyun Il
    • Journal of Korean Society on Water Environment
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    • v.23 no.5
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    • pp.683-688
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    • 2007
  • Water flow into unsaturated soils is most often modeled by Richards equation consisting of the mass conservation law and Darcy's law. Three standard forms of Richards equation are presented as the head (${\Psi}$)-based form, the moisture content (${\theta}$) based form, and the mixed form. Numerical solutions of these partial differential equations with highly nonlinear terms can cause poor results along with significant mass balance errors. The numerical solution based on the mixed form of Richards equation is known that the mass is perfectly conserved without any additional computational efforts. The aim of this study is to develop fully implicit numerical scheme of Richards equation for one-dimensional vertical unsaturated flow in homogeneous soils using the finite difference approximation, and then to perform sensitivity analysis of infiltration to the variations in the unsaturated soil properties and to different soil types.

A Parametric Study to Estimate the Behavior of a Piled Raft Foundation Influenced by Ground Conditions (지반조건이 Piled Raft 기초의 거동에 미치는 영향 평가를 위한 매개변수 연구)

  • You, Kwang-Ho;Jung, Yeun-Hak
    • Journal of the Korean Geotechnical Society
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    • v.32 no.8
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    • pp.35-46
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    • 2016
  • In this study, a sensitivity analysis was carried out by using numerical analysis under the consideration that it is difficult to analyze the behavior of real piled raft foundations on different ground conditions through a real scale test. The program used for numerical analysis is FLAC 3D based on the finite difference method. Piles were modelled by using pile element that is one of the structure elements of FLAC 3D and the ground and raft were modelled by using continuum element. With a fixed pile arrangement of $3{\times}3$, the diameter, length, space of piles, and ground conditions were selected as sensitivity parameters and their mutual correlation were investigated. As a result, the bigger and longer pile diameter, length and pile space are, the bigger the bearing capacity of the piled raft becomes. When pile space exceeded a specific value, however, the piled raft foundation behaved like a shallow foundation supported by only a raft. Also it can be confirmed that the better ground conditions are, the more total bearing capacity of the piled raft foundation increases.

Mechanical Characteristic Test of Architectural ETFE Film Membrane (크기최적화 이후에 나타나는 공간구조물의 후 좌굴 거동 변화에 대한 연구)

  • Lee, Sang-Jin;Jung, Ji-Myoung
    • Journal of Korean Association for Spatial Structures
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    • v.9 no.3
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    • pp.75-82
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    • 2009
  • This paper investigates the variation of post-buckling behaviours of spatial structures after sizing optimization with linear assumptions. The mathematical programming technique is used to produce the optimum member size of spatial structures against external load. Total weight of structure is considered as the objective function to be minimized and the displacement occurred at loading point and member stresses of structures are used as the constraint functions. The finite difference method is used to calculate the design sensitivity of objective function with respect to design variables. The post-buckling analysis carried out by using the geometrically nonlinear finite element analysis code ISADO-GN. It is found to be that there is a huge difference between the post buckling behaviours of the initial and optimized structures. Therefore, the stability of optimized spatial structures with linear assumption should be throughly checked by appropriate nonlinear analysis techniques. Finally, the present numerical results are provided as benchmark test suite for future study of large spatial structures.

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Variational Formulation for Shape Optimization of Spatial Beam Structures (정식화를 이용한 3차원 구조물의 형상 최적설계)

  • 최주호;김종수
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2002.04a
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    • pp.123-130
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    • 2002
  • A general formulation for shape design sensitivity analysis over three dimensional beam structure is developed based on a variational formulation of the beam in linear elasticity. Sensitivity formula is derived based on variational equations in cartesian coordinates using the material derivative concept and adjoint variable method for the displacement and Von-Mises stress functionals. Shape variation is considered for the beam shape in general 3-dimensional direction as well as for the orientation angle of the beam cross section. In the sensitivity expression, the end points evaluation at each beam segment is added to the integral formula, which are summed over the entire structure. The sensitivity formula can be evaluated with generality and ease even by employing piecewise linear design velocity field despite the bending model is fourth order differential equation. For the numerical implementation, commercial software ANSYS is used as analysis tool for the primal and adjoint analysis. Once the design variable set is defined using ANSYS language, shape and orientation variation vector at each node is generated by making finite difference to the shape with respect to each design parameter, and is used for the computation of sensitivity formula. Several numerical examples are taken to show the advantage of the method, in which the accuracy of the sensitivity is evaluated. The results are found excellent even by employing a simple linear function for the design velocity evaluation. Shape optimization is carried out for the geometric design of an archgrid and tilted bridge, which is to minimize maximum stress over the structure while maintaining constant weight. In conclusion, the proposed formulation is a useful and easy tool in finding optimum shape in a variety of the spatial frame structures.

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