• Structural Engineering and Mechanics
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• 제22권2호
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• pp.151-167
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• 2006

A p-version of the finite element method in conjunction with the modeling dynamic method using the arc-length stretch deformation is considered to determine the bending natural frequencies of a cantilever flexible plate mounted on the periphery of a rotating hub. The plate Fourier p-element is used to set up the linear equations of motion. The transverse displacements are formulated in terms of cubic polynomials functions used generally in FEM plus a variable number of trigonometric shapes functions representing the internals DOF for the plate element. Trigonometric enriched stiffness, mass and centrifugal stiffness matrices are derived using symbolic computation. The convergence properties of the rotating plate Fourier p-element proposed and the results are in good agreement with the work of other investigators. From the results of the computation, the influences of rotating speed, aspect ratio, Poisson's ratio and the hub radius on the natural frequencies are investigated.

• Structural Engineering and Mechanics
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• 제27권2호
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• pp.243-257
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• 2007

A numerically efficient superelement is proposed as a low degree of freedom model for dynamic analysis of rotating tapered beams. The element uses a combination of polynomials and trigonometric functions as shape functions in what is also called the Fourier-p approach. Only a single element is needed to obtain good modal frequency prediction with the analysis and assembly time being considerably less than for conventional elements. The superelement also allows an easy incorporation of polynomial variations of mass and stiffness properties typically used to model helicopter and wind turbine blades. Comparable results are obtained using one superelement with only 14 degrees of freedom compared to 50 conventional finite elements with cubic shape functions with a total of 100 degrees of freedom for a rotating cantilever beam. Excellent agreement is also shown with results from the published literature for uniform and tapered beams with cantilever and hinged boundary conditions. The element developed in this work can be used to model rotating beam substructures as a part of complete finite element model of helicopters and wind turbines.

• 지구물리와물리탐사
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• 제13권1호
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• pp.118-127
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• 2010

전기검층은 지층의 전기비저항을 측정하는 물리검층법으로 전극배열에 따른 전기비저항 변화에서 지층내의 수포화도를 평가하는데 이용된다. 전기검층은 시추공 효과 및 인접한 지층의 두께와 전기비저항 들에 의해 많은 영향을 받는다. 이러한 시추공 효과 및 인접 지층의 영향은 시추공 내에서 전기검층 손데가 중심으로부터 편향되었을 때 더 커진다. 노말검층 손데가 시추공 내에서 편향되었을 때, 단노말과 장노말 검층자료의 정확한 해석의 기초를 마련하기 위해 검층손데의 편향에 의한 전기검층 자료의 왜곡을 수치모델링을 이용하여 분석하였다. 이를 위해 노말검층 손데의 편향으로 인한 3차원적 기하학적 구조를 단순화 시킬 수 있는 새로운 좌표 체계를 제안하고, 이 좌표계에서 Fourier 급수 전개(Fourier series expansion)를 수행하였다. 여러 개의 서로 연동된 이차원 문제들을 풀기 위하여 이차원 hp goal-oriented high-order self-adaptive hp (h는 셀의 크기, p는 근사 차수를 의미) 유한요소법에 기초한 알고리즘을 적용하였다. 이 알고리즘은 모델링 영역 내에서 자동적으로 각 격자 셀에서의 h와 p를 바꿔가면서 최적의 격자를 생생하여 원하는 정밀도의 해를 도출할 수 있다. 수치모델링 결과, 이 연구에서 제안한 알고리즘으로 정확하고 신뢰성 있는 해를 얻을 수 있었다. 검층손데의 편향 영향은 시추공경이나 시추공 이수의 전기비저항이 큰 경우, 그리고 지층의 전기비저항이 낮은 경우에 큰 것을 알 수 있었다.

• Journal of Magnetics
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• 제21권4호
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• pp.599-602
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• 2016

Fluoride (F) is an important element for the mineralization of body tissues. The purpose of this study was to administer fluoride prenatally to rats to evaluate its beneficial concentration for rat bone using microstructural analysis, to analyze its effect on the bone structure, and to evaluate the effect of its transfer through rat placenta. Fourier transform infrared spectroscopy (FTIR) and nuclear magnetic resonance spectrometry (NMR) were performed. The $^{19}F$ NMR and $^{31}P$ NMR signals suggested the existence of fluoride ions in the apatite lattice because the signals were caused by the fluoride ions that were coupled to the phosphate atoms and were affected in the phosphate phases other than the element phases in the apatite. Consequently, if it was not affected too much, the desirable concentration of prenatal fluoride treatment could have a helpful effect on the bone crystal structure through placental fluoride transfer.

• Structural Engineering and Mechanics
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• 제23권5호
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• pp.487-504
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• 2006

Several new versatile two-dimensional p-version finite elements are developed. The element matrices are integrated analytically to guarantee the accuracy and monotonic convergence of the predicted solutions of the proposed p-version elements. The analysis results show that the convergence rate of the present elements is very fast with respect to the number of additional Fourier or polynomial terms in shape functions, and their solutions are much more accurate than those of the linear finite elements for the same number of degrees of freedom. Additionally, the new p-version plate elements without the reduced integration can overcome the shear locking problem over the conventional h-version elements. Using the proposed p-version elements with fast convergent characteristic, the elasto-plastic impact of the structure attached with the absorber is simulated. Good agreement between the simulated and experimental results verifies the present p-version finite elements for the analyses of structural dynamic responses and the structural elasto-plastic impact. Further, using the elasto-plastic impact model and the p-version finite element method, the absorber of the T structure on the Qiantang River is designed for its collision protection.

• Structural Engineering and Mechanics
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• 제7권5호
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• pp.503-512
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• 1999

Practicing a hole or an orifice through a plate or a slab constitutes a very frequent engineering situation due to operational reasons imposed on the structural system. From a designer's viewpoint it is important to know the effect of this modification of the mechanical system upon its elastodynamic characteristics. The present study deals with the determination of the lower natural frequencies of the structural element described in the title of the paper using a variational approach and expressing the displacement amplitude of the plate in terms of the double Fourier series which constitutes the classical, exact solution when the structure is simply supported at its four edges.

• 전기학회논문지P
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• 제55권3호
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• pp.141-145
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• 2006

The line current problem(2-dimensional space : point source) is not easy to analyze the magnetic field using the standard finite element method(FEM), such as overhead trolley line or transmission line. To supplement such a defect this paper is proposed the coupling scheme of analytical solution and FEM. In analysis of the magnetic field using the standard FEM. If the current region is a relatively small compared to the whole region. Therefore the current region must be finely divided using a large number of elements. And the large number of elements increase the number of unknown variables and the use of computer memories. In this paper, an analytical solution is suggested to supplement this weak points. When source is line current and the part of interest is far from line current, the analytical solution can be coupling with FEM at the boundary. Analytical solution can be described by the multiplication of two functions. One is power function of radius, the other is a trigonometric function of angle in the cylindrical coordinate system. There are integral constants of two types which can be established by fourier series expansion. Also fourier series is represented as the factor to apply the continuity of the magnetic vector potential and magnetic field intensity with tangential component at the boundary. To verify the proposed algorithm, we chose simplified model existing magnetic material in FE region. The results are compared with standard FE solution. And it is good agreed by increasing harmonic order.

• 대한전자공학회논문지
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• 제27권3호
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• pp.108-115
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• 1990

고속 퓨리어변화(Fast Fourier Transform)연산용 2차원 시스토릭 어레이의 기본 구성요소인 단위 처리요소(Unit processing element)를 직접회로로 설계, 제작하고 제작된 칩을 평가하였다. 설계된 칩은 FFT 연산을 위한 데이타셔플링 기능과 반쪽 버터플라이 연산기능을 수행한다. 약 6,500여개의 트랜지스터로 구성된 이 칩은 표준셀 방식으로 설계되었으며, 2미크론 이중 금속 P-Well CMOS 공정으로 제작되었다. 제작된 칩을 웨이퍼 상태로 프로브카드를 이용하여 평가하였으며 그 결과, 20MHz 클럭 주파수에서 반쪽 버터플라이 연산이 0.5${\mu}sec$에 수행됨을 확인하였다. 본 논문에서 설계, 제작된 칩을 이용하여 1024-point FFT를 연산하는 경우 11.2${\mu}sec$의 시간이 소요될 것으로 예상된다.

• Structural Engineering and Mechanics
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• 제58권5호
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• pp.887-903
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• 2016

This study analyses the seismic response of a three-dimensional (3-D) rigid massless square foundation resting or embedded in a viscoelastic soil limited by rigid bedrock. The foundation is subjected to harmonic oblique seismic waves P, SV, SH and R. The key step is the characterization of the soil-foundation interaction by computing the impedance matrix and the input motion matrix. A 3-D frequency boundary element method (BEM) in conjunction with the thin layer method (TLM) is adapted for the seismic analysis of the foundation. The dynamic response of the rigid foundation is solved from the wave equations by taking into account the soil-foundation interaction. The solution is formulated using the frequency BEM with the Green's function obtained from the TLM. This approach has been applied to analyze the effect of soilstructure interaction on the seismic response of the foundation as a function of the kind of incident waves, the angles of incident waves, the wave's frequencies and the embedding of foundation. The parametric results show that the non-vertical incident waves, the embedment of foundation, and the wave's frequencies have important impact on the dynamic response of rigid foundations.

• 전기학회논문지P
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• 제64권1호
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• pp.35-40
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• 2015

Generators are the most complex and expensive single element in a power system. The generator protection relays should to minimize damage during fault states and must be designed for maximum reliability. A conventional CDR(Current Differential Relaying) technique based on DFT(Discrete Fourier Transform) filter have the disadvantages that the time information can lead to loss in the process of converting the signal from the time domain to the frequency domain. A WT(Wavelet transform) and WT analysis is known that it is possible with the local analysis of the fault and transient signal. In this paper, to overcome the defects in the DFT process, an application of WT for fault detection of generator is presented. This paper describes an selection of mother Wavelet to detect faults of generator. Using collected data from the fault simulation with ATPdraw, we analyzed the several mother Wavelet through the course of MLD(multi-level decomposition) using MATLAB software. Finally, it can be seen that the proposed technique using detail coefficient of Daubechies level 2 which can be fault discriminant of generator.