• 제목/요약/키워드: Integral equations

검색결과 749건 처리시간 0.026초

미간벌(未間伐) 인공림(人工林)에서 잔존림목(殘存林木) 추정(推定) 함수(函數)의 유도(誘導)와 적용(適用) (Derivation and Application of Survival Functions for Unthinned Forest Plantation)

  • 이봉일;정주상;권순덕
    • 한국산림과학회지
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    • 제88권3호
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    • pp.320-326
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    • 1999
  • 연구에서는 잔존목의 본수에 대한 수식형태 및 고사율 추정 미분함수형태를 가정하여 인공림에 대한 잔존목을 추정하기 위한 15개의 함수들을 적분 및 지수함수형태로 유도하였다. 또한 이 모델들을 간벌이 되지 않은 스트로부스 잣나무 인공림의 반복측정 자료를 이용하여 모델의 적용성을 검토하였다. 그 결과 $t^{\beta}$와 같이 임령의 지수형태를 포함하는 3개의 함수들이 시간에 따른 자연 간벌효과를 설명하는데 상대적으로 유효한 것으로 나타났다. 한편 지위가 자연 간벌에 미치는 효과를 분석하기 위하여 낙엽송 임분의 잔존목 추정을 위한 함수를 유도하였다. 그 결과 $N_{min}$이 지위지수와 부의 상관관계를 가지는 것으로 나타났고, 초기 임분밀도를 같은 값으로 가정한 경우에도 잔존목 추정함수의 곡선이 지위지수별로 달라짐을 알 수 있었다.

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적응제어기법을 이용한 수면근처에서 운항하는 몰수체의 심도제어기 설계 (Depth Controller Design for Submerged Body Moving near Free Surface Based on Adaptive Control)

  • 박종용;김낙완;윤현규;김수용;조현진
    • 한국해양공학회지
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    • 제29권3호
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    • pp.270-282
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    • 2015
  • A submerged body moving near the free surface needs to maintain its attitude and position to accomplish missions. It is necessary to validate the performance of a designed controller before a sea trial. The hydrodynamic coefficients of maneuvering are generally obtained by experiments or computational fluid dynamics, but these coefficients have uncertainty. Environmental loads such as the wave exciting force and suction force act on the submerged body when it moves near the free surface. Thus, a controller for the submerged body should be robust to parameter uncertainty and environmental loads. In this paper, the six-degree-of-freedom equations of motions for the submerged body are constructed. The suction force is calculated using the double Rankine body method. An adaptive control method based on an artificial neural network and proportional-integral-derivative control are used for the depth controller. Simulations are performed under various depth and speed conditions, and the results show the effectiveness of the designed controller.

Free vibration of FGM plates with porosity by a shear deformation theory with four variables

  • Yousfi, Mahfoud;Atmane, Hassen Ait;Meradjah, Mustapha;Tounsi, Abdelouahed;Bennai, Riadh
    • Structural Engineering and Mechanics
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    • 제66권3호
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    • pp.353-368
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    • 2018
  • In this work, a high order hyperbolic shear deformation theory with four variables is presented to study the vibratory behavior of functionally graduated plates. The field of displacement of the theory used in this work is introduced indeterminate integral variables. In addition, the effect of porosity is studied. It is assumed that the material characteristics of the porous FGM plate, varies continuously in the direction of thickness as a function of the power law model in terms of volume fractions of constituents taken into account the homogeneous distribution of porosity. The equations of motion are obtained using the principle of virtual work. An analytical solution of the Navier type for free vibration analysis is obtained for a FGM plate for simply supported boundary conditions. A comparison of the results obtained with those of the literature is made to verify the accuracy and efficiency of the present theory. It can be concluded from his results that the current theory is not only accurate but also simple for the presentation of the response of free vibration and the effect of porosity on the latter.

Bending behaviour of FGM plates via a simple quasi-3D and 2D shear deformation theories

  • Youcef, Ali;Bourada, Mohamed;Draiche, Kada;Boucham, Belhadj;Bourada, Fouad;Addou, Farouk Yahia
    • Coupled systems mechanics
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    • 제9권3호
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    • pp.237-264
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    • 2020
  • This article investigates the static behaviour of functionally graded (FG) plates sometimes declared as advanced composite plates by using a simple and accurate quasi-3D and 2D hyperbolic higher-order shear deformation theories. The properties of functionally graded materials (FGMs) are assumed to vary continuously through the thickness direction according to exponential law distribution (E-FGM). The kinematics of the present theories is modeled with an undetermined integral component and satisfies the free transverse shear stress conditions on the top and bottom surfaces of the plate; therefore, it does not require the shear correction factor. The fundamental governing differential equations and boundary conditions of exponentially graded plates are derived by employing the static version of principle of virtual work. Analytical solutions for bending of EG plates subjected to sinusoidal distributed load are obtained for simply supported boundary conditions using Navier'is solution procedure developed in the double Fourier trigonometric series. The results for the displacements and stresses of geometrically different EG plates are presented and compared with 3D exact solution and with other quasi-3D and 2D higher-order shear deformation theories to verify the accuracy of the present theory.

단락종단된 평행평판 도파관의 좁은 슬릿을 통한 근접 도체스트립과의 최대 결합 (Maximum Coupling Through a Narrow Slit in a Short-Ended Parallel-plate Waveguide with a Nearby Conducting Strip)

  • 이종익;조영기
    • 대한전자공학회논문지TC
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    • 제37권12호
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    • pp.15-21
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    • 2000
  • 본 연구에서는 유전체슬랩으로 덮혀 있고 단락 종단된 평행평판 도파관의 좁은 슬릿을 통한 유전체슬랩 위의 도체스트립과의 전자기적인 결합을 평행평판 도파관에 TEM파가 입사되는 경우에 대하여 고려하였다. 슬릿의 전계와 도체스트립에 유기된 전류를 미지수로 하는 결합적분방정식을 유도하고 모멘트방법을 이용하여 풀었다. 그 결과로부터 슬릿의 폭이 매우 좁음에도 불구하고 도체스트립의 폭과 위치를 적절히 택하면 입사전력의 대부분이 도파관 외부로 결합될 수 있음을 관찰하였다. 또한 도체스트립과 도파관의 윗면이 캐비티를 구성하는 경우와 도체스트립이 기생소자 역할을 하는 경우에 있어서 관찰되는 두 가지 복사현상들 간의 차이점에 대하여 논의하였다.

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Highly Linear Wideband LNA Design Using Inductive Shunt Feedback

  • Jeong, Nam Hwi;Cho, Choon Sik;Min, Seungwook
    • JSTS:Journal of Semiconductor Technology and Science
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    • 제14권1호
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    • pp.100-108
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    • 2014
  • Low noise amplifier (LNA) is an integral component of RF receiver and frequently required to operate at wide frequency bands for various wireless system applications. For wideband operation, important performance metrics such as voltage gain, return loss, noise figure and linearity have been carefully investigated and characterized for the proposed LNA. An inductive shunt feedback configuration is successfully employed in the input stage of the proposed LNA which incorporates cascaded networks with a peaking inductor in the buffer stage. Design equations for obtaining low and high impedance-matching frequencies are easily derived, leading to a relatively simple method for circuit implementation. Careful theoretical analysis explains that input impedance can be described in the form of second-order frequency response, where poles and zeros are characterized and utilized for realizing the wideband response. Linearity is significantly improved because the inductor located between the gate and the drain decreases the third-order harmonics at the output. Fabricated in $0.18{\mu}m$ CMOS process, the chip area of this wideband LNA is $0.202mm^2$, including pads. Measurement results illustrate that the input return loss shows less than -7 dB, voltage gain greater than 8 dB, and a little high noise figure around 6-8 dB over 1.5 - 13 GHz. In addition, good linearity (IIP3) of 2.5 dBm is achieved at 8 GHz and 14 mA of current is consumed from a 1.8 V supply.

고차평균법에 의한 난류구조의 규명 및 난류모델의 개발 (Investigation of Turbulence Structures and Development Turbulence Model Based upon a Higher Order Averaging Method)

  • 여운광;편종근
    • 한국해안해양공학회지
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    • 제4권4호
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    • pp.201-207
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    • 1992
  • Yeo(1987)에 의하여 유도된 평균된 비선형괴의 표현식을 이론 및 실험적 분석을 통하여 난류구조의 특성을 밝혔다. 일반 평균정의식으로부터 가우스형 필터함수를 사용하여 얻어진 이 식에 의하면 종래와 같이 비선형항을 4개의 항으로 분리하여 각각을 해석할 필요가 없으며 기존 난류모형이 갖는 Closure문제로 인한 한계성도 극복할 수 있는 가능공을 보여주고 있다. 새로이 유도된 표현식으로부터 종래 개염적으로만 인식되어 왔던 vortex stretching현상을 이논적으로 도출할 수 있었으며 실제 난류자료의 분석결업 이들의 영향이 지배적임을 입증하였다. 따라서 vortex stretching의 영향을 무시한 난류모형은 그 타당성을 상설하게 된다. 또한 LES모형에 적용시킨 결과 일반적 형태의 에너지 표현식을 얻을 수 있었으며 기존의 Smagorinsky모형, 회전모형및 SGS에너지 모형은 완전히 별개의 것이 아니라 난류에너지 중 변형 및 회전에 의한 영향의 고려 가부에 따라 구분되어짐을 보였다.

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

  • 최주호;김종수
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2002년도 봄 학술발표회 논문집
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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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An efficient shear deformation theory with stretching effect for bending stress analysis of laminated composite plates

  • Abbas, Soufiane;Benguediab, Soumia;Draiche, Kada;Bakora, Ahmed;Benguediab, Mohamed
    • Structural Engineering and Mechanics
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    • 제74권3호
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    • pp.365-380
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    • 2020
  • The focus of this paper is to develop an analytical approach based on an efficient shear deformation theory with stretching effect for bending stress analysis of cross-ply laminated composite plates subjected to transverse parabolic load and line load by using a new kinematic model, in which the axial displacements involve an undetermined integral component in order to reduce the number of unknowns and a sinusoidal function in terms of the thickness coordinate to include the effect of transverse shear deformation. The present theory contains only five unknowns and satisfies the zero shear stress conditions on the top and bottom surfaces of the plate without using any shear correction factors. The governing differential equations and its boundary conditions are derived by employing the static version of principle of virtual work. Closed-form solutions for simply supported cross-ply laminated plates are obtained applying Navier's solution technique, and the numerical case studies are compared with the theoretical results to verify the utility of the proposed model. Lastly, it can be seen that the present outlined theory is more accurate and useful than some higher-order shear deformation theories developed previously to study the static flexure of laminated composite plates.

A new and simple HSDT for thermal stability analysis of FG sandwich plates

  • Menasria, Abderrahmane;Bouhadra, Abdelhakim;Tounsi, Abdelouahed;Bousahla, Abdelmoumen Anis;Mahmoud, S.R.
    • Steel and Composite Structures
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    • 제25권2호
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    • pp.157-175
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    • 2017
  • The novelty of this work is the use of a new displacement field that includes undetermined integral terms for analyzing thermal buckling response of functionally graded (FG) sandwich plates. The proposed kinematic uses only four variables, which is even less than the first shear deformation theory (FSDT) and the conventional higher shear deformation theories (HSDTs). The theory considers a trigonometric variation of transverse shear stress and verifies the traction free boundary conditions without employing the shear correction factors. Material properties of the sandwich plate faces are considered to be graded in the thickness direction according to a simple power-law variation in terms of the volume fractions of the constituents. The core layer is still homogeneous and made of an isotropic material. The thermal loads are assumed as uniform, linear and non-linear temperature rises within the thickness direction. An energy based variational principle is employed to derive the governing equations as an eigenvalue problem. The validation of the present work is checked by comparing the obtained results the available ones in the literature. The influences of aspect and thickness ratios, material index, loading type, and sandwich plate type on the critical buckling are all discussed.