• 제목/요약/키워드: Geometry function

검색결과 650건 처리시간 0.022초

Three-dimensional numerical analysis of nonlinear phenomena of the tensile resistance of suction caissons

  • Azam, Arefi;Pooria, Ahad;Mehdi, Bayat;Mohammad, Silani
    • Geomechanics and Engineering
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    • 제32권3호
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    • pp.255-270
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    • 2023
  • One of the main parameters that affect the design of suction caisson-supported offshore structures is uplift behavior. Pull-out of suction caissons is profoundly utilized as the offshore wind turbine foundations accompany by a tensile resistance that is a function of a complex interaction between the caisson dimensions, geometry, wall roughness, soil type, load history, pull-out rate, and many other parameters. In this paper, a parametric study using a 3-D finite element model (FEM) of a single offshore suction caisson (SOSC) surrounded by saturated soil is performed to examine the effect of some key factors on the tensile resistance of the suction bucket foundation. Among the aforementioned parameters, caisson geometry and uplift loading as well as the difference between the tensile resistance and suction pressure on the behavior of the soil-foundation system including tensile capacity are investigated. For this purpose, a full model including 3-D suction caisson, soil, and soil-structure interaction (SSI) is developed in Abaqus based on the u-p formulation accounting for soil displacement (u) and pore pressure, P.The dynamic responses of foundations are compared and validated with the known results from the literature. The paper has focused on the effect of geometry change of 3-D SOSC to present the soil-structure interaction and the tensile capacity. Different 3-D caisson models such as triangular, pentagonal, hexagonal, and octagonal are employed. It is observed that regardless of the caisson geometry, by increasing the uplift loading rate, the tensile resistance increases. More specifically, it is found that the resistance to pull-out of the cylinder is higher than the other geometries and this geometry is the optimum one for designing caissons.

그뢰브너 기저와 지시함수와의 관계 ($Gr\ddot{o}bner$ basis versus indicator function)

  • 김형순;박동권
    • Journal of the Korean Data and Information Science Society
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    • 제20권6호
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    • pp.1015-1027
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    • 2009
  • 대수기하학적 접근이란 실험계획에서의 공간 내의 점들 즉, 기하학적 대상인 다양체에 대한 문제를 다항식을 매개로 하여 아이디얼 즉, 대수적 문제로 전환하고자 한 것이라 할 수 있다. 지금까지의 연구는 완전요인실험으로부터 효율적인 부분요인실험을 선택하는 절차에 집중되어 왔다. 본 논문에서는 지금까지 연구 방법의 역의 과정을 추정해 보기로 한다. 한 부분요인실험이 선택되었을 때, 그 실험의 교락구조를 그뢰브너 기저를 구한 후 해석한다. 다음으로 그뢰브너 기저를 생성자로 활용하여 선택된 부분실험의 집합을 구별하기 위한 다항함수인 지시함수를 구하는 절차를 알아보기로 한다. 실제로 몇 가지 부분요인실험을 예로 택하여 그 과정을 수행하였다. 연산은 CoCoA 대수연산 소프트웨어를 이용하였다.

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인간 이도의 소리응답특성과 음향공간의 재현 (Characteristics of Sound Response in Ear Canal of Human and Reproduction of Acoustical Space)

  • 안태수;이두호
    • 한국소음진동공학회논문집
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    • 제21권9호
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    • pp.842-849
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    • 2011
  • The human ear canal amplifies the sound pressure level at specific frequency bands. The characteristics of the ear canal are very similar to those of curved cylindrical tube. In this study, the characteristics of sound transfer in human ear canal were measured and the acoustical space of ear canal was reproduced from the canal cavity geometry. For the measurement of sound transfer function in ear canal, a probe microphone and a reference microphone were used. The sound transfer functions were measured for 5 human subjects. To reproduce the acoustical space of the ear canal, two kinds of ear simulator were designed. The first one is a straight cylindrical tube type and the other is a real-shape ear of which geometry was taken from a micro-CT scanning of a human ear. The characteristics of the reproduced apparatus were compared with those of the human and a commercial ear simulator, RA0045 of G.R.A.S. Inc. The comparison results show that the developed apparatus well represent the ear canal characteristics in the low frequency, but have limited coincidence in level over high frequency range.

Short Channel Analytical Model for High Electron Mobility Transistor to Obtain Higher Cut-Off Frequency Maintaining the Reliability of the Device

  • Gupta, Ritesh;Aggarwal, Sandeep Kumar;Gupta, Mridula;Gupta, R.S.
    • JSTS:Journal of Semiconductor Technology and Science
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    • 제7권2호
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    • pp.120-131
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    • 2007
  • A comprehensive short channel analytical model has been proposed for High Electron Mobility Transistor (HEMT) to obtain higher cut-off frequency maintaining the reliability of the device. The model has been proposed to consider generalized doping variation in the directions perpendicular to and along the channel. The effect of field plates and different gate-insulator geometry (T-gate, etc) have been considered by dividing the area between gate and the high band gap semiconductor into different regions along the channel having different insulator and metal combinations of different thicknesses and work function with the possibility that metal is in direct contact with the high band gap semiconductor. The variation obtained by gate-insulator geometry and field plates in the field and channel potential can be produced by varying doping concentration, metal work-function and gate-stack structures along the channel. The results so obtained for normal device structure have been compared with previous proposed model and numerical method (finite difference method) to prove the validity of the model.

Hydrothermal Synthesis, Crystal Structure and EPR Property of Tetranuclear Copper(II) Cluster [Cu4OCl6(C14H12N2)4]

  • Jian, Fang-Fang;Zhao, Pu-Su;Wang, Huan-Xiang;Lu, Lu-De
    • Bulletin of the Korean Chemical Society
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    • 제25권5호
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    • pp.673-675
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    • 2004
  • The tetranuclear copper(II) cluster compound $[Cu_4OCl_6(C_{14}H_{12}N_2)_4]$ has been synthesized by hydrothermal reaction and studied by X-ray diffraction. The four copper(II) atoms locate four capsheaves of a tetrahedral skeletal structure and a oxygen atom as interstitial atom occupies the center position of the same tetrahedron, and each edge of the Cu-Cu tetrahedron is bridged by one ${\mu}_2$-Cl anion. The copper atom possesses slightly distorted trigonal bipyramidal geometry with three ${\mu}_2$-Cl atoms in equatorial position and the interstitial O atom and one N atom from 3-benzyl-benzimidazole ligand occupying axial position. The Cu-Cu distances are in the range of 3.0986-3.1162 ${\AA}$. The EPR spectrum suggested that the copper(II) ground state $d_{x2-y2}$ and the coordination geometry was trigonal bipyramidal.

Two Layer Multiquadric-Biharmonic Artificial Neural Network for Area Quasigeoid Surface Approximation with GPS-Levelling Data

  • Deng, Xingsheng;Wang, Xinzhou
    • 한국항해항만학회:학술대회논문집
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    • 한국항해항만학회 2006년도 International Symposium on GPS/GNSS Vol.2
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    • pp.101-106
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    • 2006
  • The geoidal undulations are needed for determining the orthometric heights from the Global Positioning System GPS-derived ellipsoidal heights. There are several methods for geoidal undulation determination. The paper presents a method employing a simple architecture Two Layer Multiquadric-Biharmonic Artificial Neural Network (TLMB-ANN) to approximate an area of 4200 square kilometres quasigeoid surface with GPS-levelling data. Hardy’s Multiquadric-Biharmonic functions is used as the hidden layer neurons’ activation function and Levenberg-Marquardt algorithm is used to train the artificial neural network. In numerical examples five surfaces were compared: the gravimetric geometry hybrid quasigeoid, Support Vector Machine (SVM) model, Hybrid Fuzzy Neural Network (HFNN) model, Traditional Three Layer Artificial Neural Network (ANN) with tanh activation function and TLMB-ANN surface approximation. The effectiveness of TLMB-ANN surface approximation depends on the number of control points. If the number of well-distributed control points is sufficiently large, the results are similar with those obtained by gravity and geometry hybrid method. Importantly, TLMB-ANN surface approximation model possesses good extrapolation performance with high precision.

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통합개념으로서 함수 개념에 대한 역사적 고찰 (Historical investigation in the concept of function as integrated concept)

  • 강현영
    • 한국수학사학회지
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    • 제20권4호
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    • pp.153-174
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    • 2007
  • 함수 개념은 그 자체만으로 이루어진 단일한 개념이 아니라 산술, 기하와 같은 수학의 여러 주제가 통합된 개념이다. 따라서 함수는 수학의 밑바탕에 폭넓게 스며 있는 기본적인 개념일 뿐 아니라 변화하는 현실 세계를 이해하기 위한 개념적인 수단으로서 다양한 변화 현상을 '보기' 위해서 생각하지 않을 수 없다. 이에 따라 본 논문에서는 역사적인 고찰을 통해 통합개념으로서 함수 개념에 대해 고찰하였다. 특히 함수 개념과 관련된 표현이 보다 명백히 드러난 중세에서부터 19세기까지 함수 개념의 변화를 통해 통합개념으로서 함수의 모습을 살펴보았다.

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ON POLAR TAXICAB GEOMETRY IN A PLANE

  • Park, Hyun Gyu;Kim, Kyung Rok;Ko, Il Seog;Kim, Byung Hak
    • Journal of applied mathematics & informatics
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    • 제32권5_6호
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    • pp.783-790
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    • 2014
  • Most distance functions, including taxicab distance, are defined on Cartesian plane, and recent studies on distance functions have been mainly focused on Cartesian plane. However, most streets in cities include not only straight lines but also curves. Therefore, there is a significant need for a distance function to be defined on a curvilinear coordinate system. In this paper, we define a new function named polar taxicab distance, using polar coordinates. We prove that this function satisfies the conditions of distance function. We also investigate the geometric properties and classifications of circles in the plane with polar taxicab distance.

Assumed strain finite strip method using the non-periodic B-spline

  • Hong, Hyun-Seok;Kim, Kyeong-Ho;Choi, Chang-Koon
    • Structural Engineering and Mechanics
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    • 제18권5호
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    • pp.671-690
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    • 2004
  • An assumed strain finite strip method(FSM) using the non-periodic B-spline for a shell is presented. In the present method, the shape function based on the non-periodic B-splines satisfies the Kronecker delta properties at the boundaries and allows to introduce interior supports in much the same way as in a conventional finite element formulation. In the formulation for a shell, the geometry of the shell is defined by non-periodic B3-splines without any tangential vectors at the ends and the penalty function method is used to incorporate the drilling degrees of freedom. In this study, new assumed strain fields using the non-periodic B-spline function are proposed to overcome the locking problems. The strip formulated in this way does not posses any spurious zero energy modes. The versatility and accuracy of the new approach are demonstrated through a series of numerical examples.

Differential Game Based Air Combat Maneuver Generation Using Scoring Function Matrix

  • Park, Hyunju;Lee, Byung-Yoon;Tahk, Min-Jea;Yoo, Dong-Wan
    • International Journal of Aeronautical and Space Sciences
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    • 제17권2호
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    • pp.204-213
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    • 2016
  • A differential game theory based approach is used to develop an automated maneuver generation algorithm for Within Visual Range (WVR) air-to-air combat of unmanned combat aerial vehicles (UCAVs). The algorithm follows hierarchical decisionmaking structure and performs scoring function matrix calculation based on differential game theory to find the optimal maneuvers against dynamic and challenging combat situation. The score, implying how much air superiority the UCAV has, is computed from the predicted relative geometry, relative distance and velocity of two aircrafts. Security strategy is applied at the decision-making step. Additionally, a barrier function is implemented to keep the airplanes above the altitude lower bound. To shorten the simulation time to make the algorithm more real-time, a moving horizon method is implemented. An F-16 pseudo 6-DOF model is used for realistic simulation. The combat maneuver generation algorithm is verified through three dimensional simulations.