• Title/Summary/Keyword: Geometric Convergence

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Stability and nonlinear vibration of a fuel rod in axial flow with geometric nonlinearity and thermal expansion

  • Yu Zhang;Pengzhou Li;Hongwei Qiao
    • Nuclear Engineering and Technology
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    • v.55 no.11
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    • pp.4295-4306
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    • 2023
  • The vibration of fuel rods in axial flow is a universally recognized issue within both engineering and academic communities due to its significant importance in ensuring structural safety. This paper aims to thoroughly investigate the stability and nonlinear vibration of a fuel rod subjected to axial flow in a newly designed high temperature gas cooled reactor. Considering the possible presence of thermal expansion and large deformation in practical scenarios, the thermal effect and geometric nonlinearity are modeled using the von Karman equation. By applying Hamilton's principle, we derive the comprehensive governing equation for this fluid-structure interaction system, which incorporates the quadratic nonlinear stiffness. To establish a connection between the fluid and structure aspects, we utilize the Galerkin method to solve the perturbation potential function, while employing mode expansion techniques associated with the structural analysis. Following convergence and validation analyses, we examine the stability of the structure under various conditions in detail, and also investigate the bifurcation behavior concerning the buckling amplitude and flow velocity. The findings from this research enhance the understanding of the underlying physics governing fuel rod behavior in axial flow under severe yet practical conditions, while providing valuable guidance for reactor design.

Calibration of Mobile Robot with Single Wheel Powered Caster (단일 바퀴 구동 캐스터 기반 모바일 로봇의 캘리브레이션)

  • Kim, Hyoung Cheol;Park, Suhan;Park, Jaeheung
    • The Journal of Korea Robotics Society
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    • v.17 no.2
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    • pp.183-190
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    • 2022
  • Accurate kinematic parameters of mobile robots are essential because inaccurate kinematic model produces considerable uncertainties on its odometry and control. Especially, kinematic parameters of caster type mobile robots are important due to their complex kinematic model. Despite the importance of accurate kinematic parameters for caster type mobile robots, few research dealt with the calibration of the kinematic model. Previous study proposed a calibration method that can only calibrate double-wheeled caster type mobile robot and requires direct-measuring of robot center point and distance between casters. This paper proposes a calibration method based on geometric approach that can calibrate single-wheeled caster type mobile robot with two or more casters, does not require direct-measuring, and can successfully acquire all kinematic parameters required for control and odometry. Simulation and hardware experiments conducted in this paper validates the proposed calibration method and shows its performance.

A Method of ISAR Geometric Calibration for Point Target Using Impulse-Radio UWB (임펄스 초광대역 레이다를 이용한 점표적의 ISAR 기하 보정 방법)

  • Yu, Jiwoong;Nikitin, Konstantin;Paek, Inchan;Jang, Jong Hun;Ka, Min-Ho
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.26 no.4
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    • pp.397-403
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    • 2015
  • In this paper, a method of ISAR geometric calibration is represented by using impulse-radio UWB radar. The ir-UWB is good for using a signal processing in time domain, so, it does not occur a multi-path or coupling problem. If a signal that between antennas and target is assumed a plane wave, a center of rotation in ISAR geometry model can be estimated by using point target. Before image is reconstructed with sinogram, the center of rotation can be calculated by using least square fitting. This method can be obtained a more contrast image, and a maximum value of entropy of image. The method, that estimates a center of rotation in received data, will be used a initial setup of instruments or a periodic compensation to reconstruct image. It would be useful in medical, security and surveillance imaging equipments that have a fixed geometry.

Development of fashion design applying traditional fretwork patterns and Faux Chenille textiles (전통 회 문양과 포 셔닐 텍스타일을 활용한 패션 디자인 개발)

  • Yizhu, Feng;Huan, Liu;Younhee, Lee
    • The Research Journal of the Costume Culture
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    • v.30 no.6
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    • pp.880-897
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    • 2022
  • The purpose of this study is to apply the traditional Chinese fretwork on the 'Faux Chenille' textile work method in a way of enhancing the decorative features of patterns and developing the fashion design. As for the method, it works on the historic background and advancement of the fretwork and it refers to the bibliographies pertinent to the traditional Chinese geometric pattern. The result are as follows. First, pure cotton and 100% rayon are mixed to make it feasible to produce the texture for the material to be tender and enhanced, and in the process of washing and drying the Faux Chenille textile. The Faux Chenille textile is an important material that is required to select materials with great absorption capability as the most effective material to re-visualize the lines and patterns by sustaining the diagonal lines. Second, the fretwork is designed to process the basic formation for 90° angle with the sense of unlimited extensive line and changes with straight line. It has been confirmed that, if the angle that controls the Faux Chenille textile and the tailoring interval are well aligned, the expression of traditional geometric pattern would be effective and it may be expressed in contemporary style. Third, through the fashion design application by utilizing the Faux Chenille textile of the fretwork, it is confirmed that the contemporary application of the traditional culture could be expressed uniquely and creatively while it is affirmed that the western technique and Asian culture can be blended in harmony.

Option Pricing with Bounded Expected Loss under Variance-Gamma Processes

  • Song, Seong-Joo;Song, Jong-Woo
    • Communications for Statistical Applications and Methods
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    • v.17 no.4
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    • pp.575-589
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    • 2010
  • Exponential L$\acute{e}$evy models have become popular in modeling price processes recently in mathematical finance. Although it is a relatively simple extension of the geometric Brownian motion, it makes the market incomplete so that the option price is not uniquely determined. As a trial to find an appropriate price for an option, we suppose a situation where a hedger wants to initially invest as little as possible, but wants to have the expected squared loss at the end not exceeding a certain constant. For this, we assume that the underlying price process follows a variance-gamma model and it converges to a geometric Brownian motion as its quadratic variation converges to a constant. In the limit, we use the mean-variance approach to find the asymptotic minimum investment with the expected squared loss bounded. Some numerical results are also provided.

Integration of Geometrically Exact Shell Finite Element With Trimmed Surface Modeling base on the NURBS (기하학적으로 정확한 셀 유한요소와 NURBS기반의 Trimmed Surface 모델링과의 연동)

  • Choi Jin-Bork;Roh Hee-Yuel;Cho Maeng-Hyo
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2006.04a
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    • pp.794-801
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    • 2006
  • The linkage framework of geometric modeling and analysis based on the NURBS technology is developed in this study. The NURBS surfaces are generated by interpolating the given set of data points or by extracting the necessary information to construct the NURBS surface from the IGES format file which is generated by the commercial CAD systems in the present study. Numerical examples shows the rate of displacement convergence according to the paramterization methods of the NURBS surface. NURBS can generate quadric surfaces in an exact manner. It is the one of the advantages of the NURBS. A trimmed NURBS surface that is often encountered in the modeling process of the CAD systems is also presented in the present study. The performance of the developed geometrically exact shell element integrated with the exact geometric representations by the NURBS equation is compared to those of the previous reported FE shell elements in the selected benchmark problems.

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Inelastic analysis for the post-collapse behavior of concrete encased steel composite columns under axial compression

  • Ky, V.S.;Tangaramvong, S.;Thepchatri, T.
    • Steel and Composite Structures
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    • v.19 no.5
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    • pp.1237-1258
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    • 2015
  • This paper proposes a simple inelastic analysis approach to efficiently map out the complete nonlinear post-collapse (strain-softening) response and the maximum load capacity of axially loaded concrete encased steel composite columns (stub and slender). The scheme simultaneously incorporates the influences of difficult instabilizing phenomena such as concrete confinement, initial geometric imperfection, geometric nonlinearity, buckling of reinforcement bars and local buckling of structural steel, on the overall behavior of the composite columns. The proposed numerical method adopts fiber element discretization and an iterative M${\ddot{u}}$ller's algorithm with an additional adaptive technique that robustly yields solution convergence. The accuracy of the proposed analysis scheme is validated through comparisons with various available experimental benchmarks. Finally, a parametric study of various key parameters on the overall behaviors of the composite columns is conducted.

Parallel Algorithm for Spatial Data Mining Using CUDA

  • Oh, Byoung-Woo
    • Journal of Advanced Information Technology and Convergence
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    • v.9 no.2
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    • pp.89-97
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    • 2019
  • Recently, there is an increasing demand for applications utilizing maps and locations such as autonomous vehicles and location-based services. Since these applications are developed based on spatial data, interest in spatial data processing is increasing and various studies are being conducted. In this paper, I propose a parallel mining algorithm using the CUDA library to efficiently analyze large spatial data. Spatial data includes both geometric (spatial) and non-spatial (aspatial) attributes. The proposed parallel spatial data mining algorithm analyzes both the geometric and non-spatial relationships between two layers. The experiment was performed on graphics cards containing CUDA cores based on TIGER/Line data, which is the actual spatial data for the US census. Experimental results show that the proposed parallel algorithm using CUDA greatly improves spatial data mining performance.

Three dimensional analysis of reinforced concrete frames considering the cracking effect and geometric nonlinearity

  • Kara, Ilker Fatih;Dundar, Cengiz
    • Structural Engineering and Mechanics
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    • v.31 no.2
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    • pp.163-180
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    • 2009
  • In the design of tall reinforced concrete (R/C) buildings, the serviceability stiffness criteria in terms of maximum lateral displacement and inter-story drift must be satisfied to prevent large second-order P-delta effects. To accurately assess the lateral deflection and stiffness of tall R/C structures, cracked members in these structures need to be identified and their effective member flexural stiffness determined. In addition, the implementation of the geometric nonlinearity in the analysis can be significant for an accurate prediction of lateral deflection of the structure, particularly in the case of tall R/C building under lateral loading. It can therefore be important to consider the cracking effect together with the geometric nonlinearity in the analysis in order to obtain more accurate results. In the present study, a computer program based on the iterative procedure has been developed for the three dimensional analysis of reinforced concrete frames with cracked beam and column elements. Probability-based effective stiffness model is used for the effective flexural stiffness of a cracked member. In the analysis, the geometric nonlinearity due to the interaction of axial force and bending moment and the displacements of joints are also taken into account. The analytical procedure has been demonstrated through the application of R/C frame examples in which its accuracy and efficiency in comparison with experimental and other analytical results are verified. The effectiveness of the analytical procedure is also illustrated through a practical four story R/C frame example. The iterative procedure provides equally good and consistent prediction of lateral deflection and effective flexural member stiffness. The proposed analytical procedure is efficient from the viewpoints of computational effort and convergence rate.

Coarse to Fine Image Registration of Unmanned Aerial Vehicle Images over Agricultural Area using SURF and Mutual Information Methods (SURF 기법과 상호정보기법을 활용한 농경지 지역 무인항공기 영상 간 정밀영상등록)

  • Kim, Taeheon;Lee, Kirim;Lee, Won Hee;Yeom, Junho;Jung, Sejung;Han, Youkyung
    • Korean Journal of Remote Sensing
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    • v.35 no.6_1
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    • pp.945-957
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    • 2019
  • In this study, we propose a coarse to fine image registration method for eliminating geometric error between images over agricultural areas acquired using Unmanned Aerial Vehicle (UAV). First, images of agricultural area were acquired using UAV, and then orthophotos were generated. In order to reduce the probability of extracting outliers that cause errors during image registration, the region of interest is selected by using the metadata of the generated orthophotos to minimize the search area. The coarse image registration was performed based on the extracted tie-points using the Speeded-Up Robust Features (SURF) method to eliminate geometric error between orthophotos. Subsequently, the fine image registration was performed using tie-points extracted through the Mutual Information (MI) method, which can extract the tie-points effectively even if there is no outstanding spatial properties or structure in the image. To verify the effectiveness and superiority of the proposed method, a comparison analysis using 8 orthophotos was performed with the results of image registration using the SURF method and the MI method individually. As a result, we confirmed that the proposed method can effectively eliminated the geometric errors between the orthophotos.