• 제목/요약/키워드: perturbation solution

검색결과 245건 처리시간 0.03초

Nonlinear thermal buckling of bi-directional functionally graded nanobeams

  • Gao, Yang;Xiao, Wan-shen;Zhu, Haiping
    • Structural Engineering and Mechanics
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    • 제71권6호
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    • pp.669-682
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    • 2019
  • We in this article study nonlinear thermal buckling of bi-directional functionally graded beams in the theoretical frameworks of nonlocal strain graded theory. To begin with, it is assumed that the effective material properties of beams vary continuously in both the thickness and width directions. Then, we utilize a higher-order shear deformation theory that includes a physical neutral surface to derive the size-dependent governing equations combining with the Hamilton's principle and the von $K{\acute{a}}rm{\acute{a}}n$ geometric nonlinearity. It should be pointed out that the established model, containing a nonlocal parameter and a strain gradient length scale parameter, can availably account for both the influence of nonlocal elastic stress field and the influence of strain gradient stress field. Subsequently, via using a easier group of initial asymptotic solutions, the corresponding analytical solution of thermal buckling of beams is obtained with the help of perturbation method. Finally, a parametric study is carried out in detail after validating the present analysis, especially for the effects of a nonlocal parameter, a strain gradient length scale parameter and the ratio of the two on the critical thermal buckling temperature of beams.

Primary metabolic responses in the leaves and roots of bell pepper plants subjected to microelements-deficient conditions

  • Sung, Jwakyung;Lee, Yejin;Lee, Seulbi
    • 농업과학연구
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    • 제48권1호
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    • pp.179-189
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    • 2021
  • Plants need essential mineral elements to favorably develop and to complete their life cycle. Despite the irreplaceable roles of microelements, they are often ignored due to the relative importance of macroelements with their influence on crop growth and development. We focused on the changes in primary metabolites in the leaves and roots of bell pepper plants under 6 microelements-deficient conditions: Copper (Cu), Zinc (Zn), Iron (Fe), Manganese (Mn), Boron (B) and Molybdenum (Mo). Bell pepper plants were grown in hydroponic containers, and individual elements were adjusted to 1/10-strength of Hoagland nutrient solution. A remarkable perturbation in the abundance of the primary metabolites was observed for the Fe and B and the Mn and B deficiencies in the leaves and roots, respectively. The metabolites with up-accumulation in the Fe-deficient leaves were glucose, fructose, xylose, glutamine, asparagine and serine. In contrast, the Mn deficiency also resulted in a higher accumulation of glucose, fructose, xylose, galactose, serine, glycine, β-alanine, alanine and valine in the roots. The B deficiency noticeably accumulated alanine, valine and phenylalanine in the roots while it showed a substantial decrease in glucose, fructose and xylose. These results show that the primary metabolism could be seriously disturbed due to a microelement deficiency, and the alteration may be either the specific or adaptive responses of bell pepper plants.

불균일 결합선로에서 Riccati 해에 내재된 Null점의 최적 섭동과 결합도 제어 (Optimal Perturbation of Null Points Inherent to Riccati Solution and Control of Coupling in Nonuniform Coupled-Lines)

  • 박의준
    • 대한전자공학회논문지TC
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    • 제38권3호
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    • pp.35-43
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    • 2001
  • 반사형(혹은 역방향) 결합선로에서 원하는 결합도를 가질 수 있도록 모드 특성임피던스를 합성하는 방법을 새로이 제안하였다. 결합도를 나타내는 일차 비선형 미분방정식의 해 혹은 Riccati 해가 갖는 반복되는 lobe들의 최소점, 즉 null점들을 최적 섭동시키므로서 최적 합성이 이루어진다. 이 과정을 위해 일차원 배열 안테나의 공간인자 패턴 제어를 통한 일차원 비선형 소스 분포함수 합성법을 근간으로 하였으며, 기존의 우함수형 분포함수 합성을 기함수형까지 확장 적용할 수 있는 방법을 제시하였다. 그 결과로서 도출된 모드 특성임피던스들은 연속적이고 비선형적인 프로필을 가지게 된다. 합성된 우함수형 및 기함수형 분포함수에 대응되는, 비대칭형 및 대칭형 결합기들을 비교 분석하였으며, 기존의 설계방법에 비해 일반적이고 간단함을 보였다.

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New Trend Proposal in Optimization Techniques Application for Mobile Network, Analysis and Signal Processing

  • HAMROUNI, Chafaa
    • Journal of Multimedia Information System
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    • 제7권3호
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    • pp.221-230
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    • 2020
  • Used optimization techniques as solution for mobile network have been implemented as a reference systems for various applications against fading and signals perturbation, in addition each transition to 5th generation telecommunication standards require a deep studies in order to park an applied instantaneous process. The paper describes a preliminary planning and a careful preparation to update both subscriber radio access network as well as data transmission network this approach conducts to make network resource updates invisible for customers and with minimal costs for mobile operators basically in terms of delay. In addition, network operators transit to mobile networks, multimedia services efficient delivery are considered the challenging application and the most promising for mobile network operators today, this work conduct to optimize video consumption of mobile users which are exponentially increasing. The interference is a complex phenomenon in mobile radio telecommunication system, and a mobile phone can be a source of interference to another one. Actual advances in technology necessitate the need for the complicated software solution that can take several unexpected phenomena in consideration to rise to a level higher than ever. The capability needs today require the use of Drive test which is used to take the performance of network in the field by using a special software called TEMS investigation, it have been implemented as standalone systems for various applications. The paper focuses on considering as the best technical for optimization of mobile networks, analysis and processing of signal, a Drive Test is the method used to take the performance of network in the field by using a special software called TEMS investigation. Most used in the world, this software is reputed to detect and analyze many problems of mobile network between the mobile phone and the transmitter: BTS in case of GSM and Node B for UMTS. An example of that is interference in radio communication. It exists permanently and it degrades considerably the quality of received signal when it exceeds certain levels.

자유표면하에서 전진하는 3차원 물체 주위의 양력 흐름 수치 해석 (Numerical Analysis of Lifting Potential Flow around a Three-Dimensional Body moving beneath the Free Surface)

  • 김부기
    • 대한조선학회논문집
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    • 제29권3호
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    • pp.21-32
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    • 1992
  • 자유 수면하를 영각을 가지고 일정 속도로 전진하는 3차원 물체가 만드는 자유 표면 흐름에 대한 수치해를 보인다. 해를 구하기 위해 물체 표면에 Havelock 쏘오스와 법선 다이폴을, Wake 면에는 Havelock 법선 다이폴을 분포시키는 교란 속도 포텐시얼을 기저로 한 패널법을 이용하였다. Trailing Edge의 윗면과 아랫면의 압력 등가 조건을 정확히 만족시키기 위해 반복 기법을 이용한 압력 Kutta 조건을 사용하였다. 무한 유체 영역에 놓인 Ellipsoid와 사각 Wing에 대해 계산 프로그램을 검증한 후 자유 수면하에 잠수하여 전진하는 Spheroid와 스트럿에 대한 문제를 다루었다. 본 연구에서 채택한 Panel Method는 자유 표면 효과, 3차원 물체의 형상을 고려하여 물체에 작용하는 동유체력을 비교적 정확하게 예측하였으며 특히 Wake 형상은 동유체력 계산에 큰 영향을 미치지 않는 것으로 확인하였다.

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증분형(增分形) 유한요소법(有限要素法)에 의한 축대칭(軸對稱) Shell구조(構造)의 좌굴해석(挫屈解析) (Buckling Analysis of Axisymmetric Shells by Incremental Finite Element Mothod)

  • 김재복;김창렬
    • 대한조선학회지
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    • 제22권1호
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    • pp.21-30
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    • 1985
  • This paper deals whth the buckling as well as postbuckling analysis of axisymmertric shells taking the initial deflection effects into account. Incremental equilibrium equations, based on the principle of virtual work, were derived by the finite element method, the successive step-by-step Newton-Raphson iterative technique was adopted. To define the transition pattern of postbuckling behavior from the prebuckling state more accurately, a simple solution method was developed, i.e. the critical load was calculated by the load extrapolation method with the determinant of tangent stiffness matrix and the equilibrium configuration in the immediate postbuckling stage was obtained by perturbation scheme and eigenvalue analysis. Degenerated isoparametric shell elements were used to analyse the axisymmetric shell of revolution. And by the method developed in this paper, the computer program applicable to the nonlinear analysis of both thin and moderately thick shells was constructed. To verify the capabilities and accuracies of the present solution method, the computed results were compared with the results of analytical solutions. These results coincided fairly well in both the small deflection and large deflection ranges. Various numerical analyses were done to show the effect of initial deflection and shape of shells on buckling load and postbuckling behavior. Futhermore, corrected directions of applied loads at every increment steps were used to determine the actual effects of large deflection in non-conservative load systems such as hydrostatic pressure load. The following conclusions can be obtained. (1) The method described in this paper was found to be both economic and effective in calculating buckling load and postbuckling behavior of shell structure. (2) Buckling and postbuckling behavior of spherical caps is critically dependent upon their geometric configuration, i.e. the shape of spherical cap and quantities of the initial deflection. (3) In the analysis of large deflection problems of shells by the incremental method, corrections of the applied load directions are needed at every incremental step to compensate the follower force effects.

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Sensitivity analysis based on complex variables in FEM for linear structures

  • Azqandi, Mojtaba Sheikhi;Hassanzadeh, Mahdi;Arjmand, Mohammad
    • Advances in Computational Design
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    • 제4권1호
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    • pp.15-32
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    • 2019
  • One of the efficient and useful tools to achieve the optimal design of structures is employing the sensitivity analysis in the finite element model. In the numerical optimization process, often the semi-analytical method is used for estimation of derivatives of the objective function with respect to design variables. Numerical methods for calculation of sensitivities are susceptible to the step size in design parameters perturbation and this is one of the great disadvantages of these methods. This article uses complex variables method to calculate the sensitivity analysis and combine it with discrete sensitivity analysis. Finally, it provides a new method to obtain the sensitivity analysis for linear structures. The use of complex variables method for sensitivity analysis has several advantages compared to other numerical methods. Implementing the finite element to calculate first derivatives of sensitivity using this method has no complexity and only requires the change in finite element meshing in the imaginary axis. This means that the real value of coordinates does not change. Second, this method has the lower dependency on the step size. In this research, the process of sensitivity analysis calculation using a finite element model based on complex variables is explained for linear problems, and some examples that have known analytical solution are solved. Results obtained by using the presented method in comparison with exact solution and also finite difference method indicate the excellent efficiency of the proposed method, and it can predict the sustainable and accurate results with the several different step sizes, despite low dependence on step size.

MOBA based design of FOPID-SSSC for load frequency control of interconnected multi-area power systems

  • Falehi, Ali Darvish
    • Smart Structures and Systems
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    • 제22권1호
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    • pp.81-94
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    • 2018
  • Automatic Generation Control (AGC) has functionally controlled the interchange power flow in order to suppress the dynamic oscillations of frequency and tie-line power deviations as a perturbation occurs in the interconnected multi-area power system. Furthermore, Flexible AC Transmission Systems (FACTS) can effectively assist AGC to more enhance the dynamic stability of power system. So, Static Synchronous Series Compensator (SSSC), one of the well-known FACTS devices, is here applied to accurately control and regulate the load frequency of multi-area multi-source interconnected power system. The research and efforts made in this regard have caused to introduce the Fractional Order Proportional Integral Derivative (FOPID) based SSSC, to alleviate both the most significant issues in multi-area interconnected power systems i.e., frequency and tie-line power deviations. Due to multi-objective nature of aforementioned problem, suppression of the frequency and tie-line power deviations is formularized in the form of a multi-object problem. Considering the high performance of Multi Objective Bees Algorithm (MOBA) in solution of the non-linear objectives, it has been utilized to appropriately unravel the optimization problem. To verify and validate the dynamic performance of self-defined FOPID-SSSC, it has been thoroughly evaluated in three different multi-area interconnected power systems. Meanwhile, the dynamic performance of FOPID-SSSC has been accurately compared with a conventional controller based SSSC while the power systems are affected by different Step Load Perturbations (SLPs). Eventually, the simulation results of all three power systems have transparently demonstrated the dynamic performance of FOPID-SSSC to significantly suppress the frequency and tie-line power deviations as compared to conventional controller based SSSC.

마이크로파 Reflectometry의 산란 신호 응답 특성 (Response Characteristics of the Scattered Signal of a Microwave Reflectometry)

  • 방성근
    • 한국전자파학회논문지
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    • 제19권5호
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    • pp.556-561
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    • 2008
  • 시간 지연이나 위상 지연과 같은 레이다 기법을 기반으로 하는 마이크로파 reflectometry를 비균질 매질의 밀도 특성을 조사하기 위한 비파괴 검사 장치로 응용하기 위한 시스템 특성을 연구하였다. 특히 마이크로파 reflectometry를 플라즈마 연구 분야에 응용하기 시작한 것은 비교적 최근의 일로서 그 활용도가 점차 증가하고 있는데, 마이크로파 reflectometry로 비균질 매질을 조사하기 위해서는 대상에 따른 시스템의 하드웨어 구성이 최적화되어야 하며, 시스템에서의 신호 응답 특성이 이해되어야만 전체적인 시스템 해법을 제공하는 것이 된다. 마이크로파 reflectometry를 이용하여 진단하는 대상인 플라즈마의 특성에 따른 시스템의 구성을 설명하고, 파동수 및 밀도 섭동에 관한 시스템의 특성을 실험적으로 조사하기 위한 장치를 설명하였다. 마이크로파 reflectometry의 신호는 대부분의 전자기파 에너지가 반사되는 지역에서 기인하는 cutoff 신호와 교란 신호와의 상호 작용으로 발생하는 산란 신호로 구성된다. 이 논문에서는 마이크로파 reflectometry의 산란 신호 특성을 실험적 방법으로 조사한 결과를 제시하며, 1차원 파동방정식을 이용한 수치 해석적 결과와 비교 분석하였고, cutoff 신호 특성과도 비교하였다.

압력진동에 대한 액체 로켓엔진의 음향 응답의 민감도에 관한 수치적 연구 (A Numerical Study on Sensitivity of Acoustic Response to Pressure Oscillations in Liquid Rocket Engine)

  • 손채훈
    • 한국항공우주학회지
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    • 제30권5호
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    • pp.79-87
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    • 2002
  • 로켓엔진에서 발생하는 음향 불안정성의 정성적 경향성을 파악하기 위해 축대칭 연소실에서의 음향파 응답 특성을 수치해석적으로 조사하였다. 주로 작동조건의 변화와 외부교란의 가진 주파수 변화에 따른 응답 특성을 계산하였다. 외부교란으로 연소실 입구부분의 전압이 정현파 형태로 섭동하도록 인위적으로 부여하였다. 음향 응답의 정성적 경향성이 유지되는 범위내에서, 분무 연소과정에 수반되는 여러 가지 물리 화학적인 과정들을 단순화하였다. 먼저, 주어진 작동조건에서 정상상태의 연소장을 구하고, 다음 단계로 압력섭동에 대한 연소장의 거동을 시간의 경과에 따라 구하였다. 작동조건의 변화에 따른 음향파 응답의 계산 결과, 반응 지역에서 약한 강도의 화염이 형성되는 경우 민감한 응답이 나타나 불안정안 압력분포를 나타냈다. 또한, 가진되는 압력 섭동의 주파수에 따라 응답 특성이 변하였고, 특히 높은 가진 주파수의 압력 섭동에 대해서 불안정한 응답이 나타났다. 해석 결과로 나타난 거시적 현상의 이해를 돕기위해, 기존의 화염소 모델을 채택한 음향파 응답 연구 결과와의 상관성을 찾아 본 해석 결과를 분석하였다.