• 제목/요약/키워드: Fourier series

검색결과 620건 처리시간 0.027초

삼차신경통과 반측안면경련에서 CISS 영상의 진단적 유용성 (Diagnostic Usefulness of CISS Image in Preoperative Evaluation of Trigeminal Neuralgia and Hemifacial Spasm)

  • 이동훈;이상원;최창화
    • Journal of Korean Neurosurgical Society
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    • 제30권2호
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    • pp.186-193
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    • 2001
  • Objectives : Trigeminal neuralgia and hemifacial spasm are caused by vascular compression of the REZ(root entry or exit zone) of the 5th and the 7th cranial nerve. Preoperative detection of neurovascular compression is essential for accurate diagnosis, appropriate treatment, and the good operative results. Three dimensional Fourier Transformation-Constructive Interference in Steady State(3DFT-CISS) images are known to give good contrast between CSF, nerve, and vessels. We applied a 3DFT-CISS imaging technique for the preoperative evaluation of patients with these diseases and estimated the diagnostic accuracy and usefulness of this study. Methods : A series of 71 patients with trigeminal neuralgia and hemifacial spasm were treated by microvascular decompression. Among them 34 patients with trigeminal neuralgia and 24 patients with hemifacial spasm had preoperative CISS images. We compared the radiologic finding with the operative finding, and analysed the diagnostic usefulness of 3DFT-CISS imaging. Results : The sensitivity of CISS images of detecting the neurovascular compression was 90.3% in trigeminal neuralgia and 100% in hemifacial spasm. There were one false-positive and three false-negative cases in trigeminal neuralgia, and one false-positive case in hemifacial spasm. The accuracy in diagnosing the causative vessel was 73.5% in trigeminal neuralgia and 83.3% in hemifacial spasm. Conclusion : CISS image is very useful diagnostic tool for preoperative evaluation of neurovascular compression in patients with trigeminal neuralgia and hemifacial spasm. No additional neuroradiologic examination other than CISS image and MRA is needed for preoperative evaluation of patients with trigeminal neuralgia and hemifacial spasm.

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Investigation of the behavior of a crack between two half-planes of functionally graded materials by using the Schmidt method

  • Zhou, Zhen-Gong;Wang, Biao;Wu, Lin-Zhi
    • Structural Engineering and Mechanics
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    • 제19권4호
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    • pp.425-440
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    • 2005
  • In this paper, the behavior of a crack between two half-planes of functionally graded materials subjected to arbitrary tractions is resolved using a somewhat different approach, named the Schmidt method. To make the analysis tractable, it is assumed that the Poisson's ratios of the mediums are constants and the shear modulus vary exponentially with coordinate parallel to the crack. By use of the Fourier transform, the problem can be solved with the help of two pairs of dual integral equations in which the unknown variables are the jumps of the displacements across the crack surfaces. To solve the dual integral equations, the jumps of the displacements across the crack surfaces are expanded in a series of Jacobi polynomials. This process is quite different from those adopted in previous works. Numerical examples are provided to show the effect of the crack length and the parameters describing the functionally graded materials upon the stress intensity factor of the crack. It can be shown that the results of the present paper are the same as ones of the same problem that was solved by the singular integral equation method. As a special case, when the material properties are not continuous through the crack line, an approximate solution of the interface crack problem is also given under the assumption that the effect of the crack surface interference very near the crack tips is negligible. It is found that the stress singularities of the present interface crack solution are the same as ones of the ordinary crack in homogenous materials.

분포하중(分布荷重)을 받는 주변고정(周邊固定) 구형판(矩形板)의 탄성해석(彈性解析) (Analysis of Rectangular Plates under Distributed Loads of Various Intensity with All Edges Built In)

  • 장석윤
    • 대한조선학회지
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    • 제13권4호
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    • pp.19-24
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    • 1976
  • Some method of analysis of rectangular plates under distributed load of various intensity with all edges built in are presented in. Analysis of many structures such as bottom, side shell, and deck plate of ship hull, and flat slab, deck systems of bridges is a problem of plate with continuous supports or clamped edges. When the four edges of rectangular plate is simply supported, the double fourier series solution developed by Navier can represent an exact result of this problem. If two opposite edges are simply supported, Levy's method is available to give an "exact" solution. When the loading condition and boundary condition of a plate does not fall into these cases, no simple analytic method seems to be feasible. Analysis of a plate under distributed loads of various intensity with all edges built in is carried out by applying Navier solution and Levy's method as well as "Principle of Superposition" In discussing this problem we start with the solution of the problem for a simply supported rectangular plate and superpose on the deflection of such a plate the deflections of the plate by slopes distributed along the all edges. These slopes we adjust in such a manner as to satisfy the condition of no rotation at the boundary of the clamped plate. This method can be applied for the cases of plates under irregularly distributed loads of various intensity with two opposite edges simply supported and the other two edges clamped and all edges simply supported and this method can also be used to solve the influence values of deflection, moment and etc. at arbitrary position of plates under the live load.

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과도응답법(過渡應答法)을 이용한 조종미계수(操縱微係數)의 추정(推定)에 관한 연구(硏究) (The Linear Stability Derivatives by the Transient Maneuvering Method)

  • 이승건
    • 대한조선학회지
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    • 제27권3호
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    • pp.31-37
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    • 1990
  • 선박의 방향안정성 등을 논할 때 필요하게 되는 선형조종미계수에 대해서는 이론적, 실험적으로 그 추정법이 제안되고 있다. 이중, 실험적 방법은 모형선에 규칙적인 강제동요를 시켜서 원하는 값들을 구하고 있으나, 한규칙 동요에 대해서 그 주파수에 대한 값만 나오므로 넓은 범위의 운동주파수에 걸쳐 미계수의 값들을 얻고자 할 때는 방대한 회수의 실험을 행해야 한다, 이러한 단점을 개선하기 위해 고안된 것이 본 논문에서 취급하는 Transient Maneuvering Method(TMM)로서, 기본원리는 모형에게 과도적 운동을 시켜 그로 인한 동유체력을 계측하고 이를 Fourier 변환하므로서 여러가지 주파수에 대한 미계수의 값을 얻게 되는 것이다. 종래의 이 분야 연구자들은 모형을 움직일 때 전동모터를 사용했으나 모터를 사용할 경우 원하는 과도 운동을 충분히 시킬 수 없으므로 본 논문에서는 유압 펌프를 사용하여 좋은 효과를 얻었다. 그 외에도 입력신호를 다소 개량하여 최종결과의 S/N비를 개선하는데 성공하였다. 실험에 사용한 모델은 Todd의 계열 60(Cb=0.7) 2M급이고, 이 결과를 종래의 PMM 시험결과와 비교하였다.

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전방향족 공중합체의 열경화성 액정필름 (Liquid Crystalline Thermoset Films Based on Wholly Aromatic Copolymers)

  • 문현곤;안용호;장진해
    • 폴리머
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    • 제34권4호
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    • pp.369-375
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    • 2010
  • 용융 중합법을 이용하여 말단에 메틸 말레이미드(methyl maleimide) 반응성기를 가지며 방향족 에스터와 아 미드 결합을 포함하는 액정(liquid crystal, LC)을 합성하였다. 합성된 액정은 용액 캐스팅과 열처리를 거쳐 열경화 성 액정(liquid crystalline thermoset, LCT) 필름으로 제조되었다. 합성된 LC 및 LCT는 적외선 분광기(FTIR), 시차주사 열량계(DSC), 열중량 분석기(TGA), 열-기계 분석기(TMA), X-선 회절기(XRD) 및 가열판이 부착된 편광 현미경(POM) 등을 이용해서 각각 특성 분석을 하였다. 합성된 모든 액정은 스멕틱(smectic) 상을 보였으며 LC와 LCT들의 열적 성질은 주로 주사슬에 포함된 메소젠 구조에 영향을 받았다. 열팽창 계수(coefficients of thermal expansion, CTE)는 27.72~50.95 ppm/$^{\circ}C$ 사이의 값을 보였다.

Analysis of Dynamic Response Characteristics for 5 MW Jacket-type Fixed Offshore Wind Turbine

  • Kim, Jaewook;Heo, Sanghwan;Koo, WeonCheol
    • 한국해양공학회지
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    • 제35권5호
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    • pp.347-359
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    • 2021
  • This study aims to evaluate the dynamic responses of the jacket-type offshore wind turbine using FAST software (Fatigue, Aerodynamics, Structures, and Turbulence). A systematic series of simulation cases of a 5 MW jacket-type offshore wind turbine, including wind-only, wave-only, wind & wave load cases are conducted. The dynamic responses of the wind turbine structure are obtained, including the structure displacement, rotor speed, thrust force, nacelle acceleration, bending moment at the tower bottom, and shear force on the jacket leg. The calculated time-domain results are transformed to frequency domain results using FFT and the environmental load with more impact on each dynamic response is identified. It is confirmed that the dynamic displacements of the wind turbine are dominant in the wave frequency under the incident wave alone condition, and the rotor thrust, nacelle acceleration, and bending moment at the bottom of the tower exhibit high responses in the natural frequency band of the wind turbine. In the wind only condition, all responses except the vertical displacement of the wind turbine are dominant at three times the rotor rotation frequency (considering the number of blades) generated by the wind. In a combined external force with wind and waves, it was observed that the horizontal displacement is dominant by the wind load. Additionally, the bending moment on the tower base is highly affected by the wind. The shear force of the jacket leg is basically influenced by the wave loads, but it can be affected by both the wind and wave loads especially under the turbulent wind and irregular wave conditions.

Undrained shear strength and microstructural characterization of treated soft soil with recycled materials

  • Al-Bared, Mohammed A.M.;Harahap, Indra S.H.;Marto, Aminaton;Abad, Seyed Vahid Alavi Nezhad Khalil;Ali, Montasir O.A.
    • Geomechanics and Engineering
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    • 제18권4호
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    • pp.427-437
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    • 2019
  • Waste materials are being produced in huge quantities globally, and the usual practice is to dump them into legal or illegal landfills. Recycled tiles (RT) are being used in soil stabilisation which is considered as sustainable solution to reduce the amount of waste and solve the geotechnical problems. Although the stabilisation of soil using RT improved the soil properties, it could not achieve the standard values required for construction. Thus, this study uses 20% RT together with low cement content (2%) to stabilise soft soil. Series of consolidated undrained triaxial compression tests were conducted on untreated and RT-cement treated samples. Each test was performed at 7, 14, and 28 days curing period and 50, 100, and 200 kPa confining pressures. The results revealed an improvement in the undrained shear strength parameters (cohesion and internal frication angle) of treated specimens compared to the untreated ones. The cohesion and friction angle of the treated samples were increased with the increase in curing time and confining pressure. The peak deviator stress of treated samples increases with the increment of either the effective confining pressures or the curing period. Microstructural and chemical tests were performed on both untreated and RT-cement treated samples, which included field emission scanning electron microscopic (FESEM), Fourier transform infrared spectroscopy (FTIR), X-ray diffraction (XRD), and energy dispersive X-ray spectrometer (EDX). The results indicated the formation of cementation compounds such as calcium aluminium hydrate (C-A-H) within the treated samples. Consequently, the newly formed compounds were responsible for the improvement observed in the results of the triaxial tests. This research promotes the utilisation of RT to reduce the amount of cement used in soil stabilisation for cleaner planet and sustainable environment.

Size-dependent flexoelectricity-based vibration characteristics of honeycomb sandwich plates with various boundary conditions

  • Soleimani-Javid, Zeinab;Arshid, Ehsan;Khorasani, Mohammad;Amir, Saeed;Tounsi, Abdelouahed
    • Advances in nano research
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    • 제10권5호
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    • pp.449-460
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    • 2021
  • Flexoelectricity is an interesting materials' property that is more touchable in small scales. This property beside the sandwich structures placed in the center of scientists' attention due to their extraordinary effects on the mechanical properties. Furthermore, in the passage of decades, more elaborated sandwich structures took into consideration results from using honeycomb core. This kind of structure, inspiring from honeycomb core, provides more stiffness to weight ratio, which plays a crucial role in different industries. In this paper, based on the Love-Kirchhoff's hypothesis, Hamilton's principle, modified couple stress theory and Fourier series analytical method, equations of motion for a sandwich plate containing a honeycomb core integrated by two face-sheets have derived and solved analytically. The equations of both face sheets have derived by flexoelectricity consideration. Moreover, it should be noticed that the whole structure rests on the visco-Pasternak foundation. Conducting current research provided an acceptable and throughout study based on flexoelectricity to address the effect of materials' characteristics, length-scale parameter, aspect, and thickness ratios and boundary conditions on the natural frequency of honeycomb sandwich plates. Also, based on the presented figures and tables, there is a close agreement between previous studies and recent work. Due to the high ratio of strength to weight, current model analyzing is capable of taking into account for different vehicles' manufacturing in a high range of industries.

Confinement effectiveness of Timoshenko and Euler Bernoulli theories on buckling of microfilaments

  • Taj, Muhammad;Khadimallah, Mohamed A.;Hussain, Muzamal;Mahmood, Shaid;Safeer, Muhammad;Al Naim, Abdullah F.;Ahmad, Manzoor
    • Advances in concrete construction
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    • 제11권1호
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    • pp.81-88
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    • 2021
  • Rice Husk Ash (RHA) geopolymer paste activated by sodium aluminate were characterized by X-ray diffractogram (XRD), scanning electron microscope (SEM), energy dispersion X-Ray analysis (EDAX)and fourier transform infrared spectroscopy (FTIR). Five series of RHA geopolymer specimens were prepared by varying the Si/Al ratio as 1.5, 2.0, 2.5, 3.0 and 3.5. The paper focuses on the correlation of microstructure with hardened state parameters like bulk density, apparent porosity, sorptivity, water absorption and compressive strength. XRD analysis peaks indicates quartz, cristobalite and gibbsite for raw RHA and new peaks corresponding to Zeolite A in geopolymer specimens. In general, SEM micrographs show interconnected pores and loosely packed geopolymer matrix except for specimens made with Si/Al of 2.0 which exhibited comparatively better matrix. Incorporation of Al from sodium aluminate were confirmed with the stretching and bending vibration of Si-O-Si and O-Si-O observations from the FTIR analysis of geopolymer specimen. The dense microstructure of SA2.0 correlate into better performance in terms of 28 days maximum compressive strength of 16.96 MPa and minimum for porosity, absorption and sorptivity among the specimens. However, due to the higher water demand to make the paste workable, the value of porosity, absorption and sorptivity were reportedly higher as compared with other geopolymer systems. Correlation regression equations were proposed to validate the interrelation between physical parameters and mechanical strength. RHA geopolymer shows comparatively lower compressive strength as compared to Fly ash geopolymer.

비선형 해양파 수치 모사를 위한 고속 재현 기법 (A fast reconstruction technique for nonlinear ocean wave simulation)

  • 이상범;최영명
    • 융합신호처리학회논문지
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    • 제23권1호
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    • pp.15-20
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    • 2022
  • 최근 컴퓨터 성능 향상과 더불어 대규모 클러스터 서비스가 기존의 산업 및 연구기관뿐만 개인에게도 제공되고 있으며, 막대한 계산 성능을 이용한 공학 설계 활용은 빠르게 증가하고 있다. 이에 조선 해양 산업에서는 많은 계산 비용이 요구되는 전산유체역학 기법을 선박 및 해양구조물 설계에 활용하려는 노력이 증가하고 있다. 선박 및 해양구조물과 같은 부유체는 대양에서 해양파, 조류, 바람과 같은 환경 외란에 노출되어 있으며 이러한 환경 외란은 전산유체역학에서 고정도 모델링이 필요하다. 특히 해양파의 경우 비선형 전산유체역학의 특성상 기존의 선형 중첩법에서 벗어난 비선형 해양파가 고려되어야 한다. 본 연구에서는 이러한 비선형 해양파 수치 모사를 위해 고속 재현 기법을 제안하고 전산유체역학 기법을 활용하여 검증을 수행하였다.