• 제목/요약/키워드: Nonlinear modelling

검색결과 310건 처리시간 0.031초

곤충모방 날갯짓 비행체의 LQ 제어기 설계 (Linear Quadratic Controller Design of Insect-Mimicking Flapping Micro Aerial Vehicle)

  • 김성근;김인래;김승균;석진영
    • 한국항행학회논문지
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    • 제21권5호
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    • pp.450-458
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    • 2017
  • 본 연구에서는 곤충모방 날갯짓 비행체의 모델링과 제자리비행을 위한 자세제어 및 고도제어기를 설계하여 동역학 모델을 이용한 시뮬레이션을 수행하고 그 결과를 분석하였다. 곤충모방 날갯짓 비행체의 간략화한 날갯짓 운동, 날갯짓의 병진운동 및 회전운동에 대한 공력, 동체 동역학에 대해 수치모델링을 수행하였다. 제자리비행 자세제어를 위해 날갯짓 비행체가 가지는 시변 비선형 시스템을 선형화하여 설계한 LQR(Linear Quadratic Regulator) 제어기법을 통하여 자세안정화를 적용하였으며 PID 제어기법을 통해 고도제어를 수행하였다. 수치 시뮬레이션을 통해 설계된 모델과 제어기의 성능을 확인하였으며 제자리비행을 위한 자세안정화 및 고도 제어가 안정적으로 수행되는 것을 확인하였다. 또한 날갯짓에 의해 발생하는 주기적인 피칭 모멘트를 주기적인 제어입력을 통해 임계 안정하도록 자세 안정화를 수행하는 것을 확인 하였다.

Filtration-induced pressure evolution in permeation grouting

  • Zhou, Zilong;Zang, Haizhi;Wang, Shanyong;Cai, Xin;Du, Xueming
    • Structural Engineering and Mechanics
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    • 제75권5호
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    • pp.571-583
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    • 2020
  • Permeation grouting is of great significance for consolidating geo-materials without disturbing the original geo-structure. To dip into the filtration-induced pressure increment that dominates the grout penetration in permeation grouting, nonlinear filtration coefficients embedded in a convection-filtration model were proposed, in which the volume of cement particles in grout and the deposited particles of skeleton were considered. An experiment was designed to determine the filtration coefficients and verify the model. The filtration coefficients deduced from experimental data were used in simulation, and the modelling results matched well with the experimental ones. The pressure drop revealed in experiments and captured in modelling demonstrated that the surge of inflow pressure lagged behind the stoppage of flow channels. In addition, both the consideration of the particles loss in liquid grout and the number of filtrated particles on pore walls presented an ideal trend in filtration rate, in which the filtration rate first rose rapidly and then reached to a steady plateau. Finally, this observed pressure drop was extended to the grouting design which alters the water to cement (W/C) ratio so as to alleviate the filtration effect. This study offers a novel insight into the filtration behaviour and has a practical meaning to extend penetration distance.

유한요소와 경계요소의 조합에 의한 다층 구조계의 비선형 해석 (Nonlinear Finite Element-Boundary Element Analysis of Multi-Layered Structural Systems)

  • 김문겸;허택녕;이상도
    • 전산구조공학
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    • 제7권4호
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    • pp.57-67
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    • 1994
  • 지하구조물의 주위지반은 일반적으로 퇴적층의 형성 또는 지각의 변동에 의해 다층구조를 가지게 되므로, 구조물 및 주위지반의 거동을 정확히 예측하기 위해서는 해석에 다층구조의 영향을 반영해야 한다. 본 연구에서는 다층으로 구성된 지하구조계를 대상으로 하여 구조물과 그 주변에는 비선형 유한요소를 사용하고, 비선형성이 상대적으로 미약한 주변 다층지반에는 선형 경계요소를 사용하여 재료의 비선형성과 비균질성을 고려한 효율적인 조합해석방법을 개발하고자 한다. 반무한영역에 설정되는 다층구조계를 경계요소로 해석할 경우 그 기본해가 제한되어 있으므로, 본 연구에서는 기존의 무한기본해를 이용하는 방법을 사용하였다. 무한기본해를 이용하는 내부영역문제의 경우 각각의 균질한 층을 부영역(subdomain)으로 분할하고 계방정식을 구성한 뒤에 접합면에 대하여 평형조건과 적합조건을 만족시켜 주는 방법을 사용하여 비균질성을 고려한다. 부영역으로 층을 분할한 내부영역문제의 경계요소해석 결과는 선형 유한요소해석 결과와 비교하여 검증하였고, 검증된 경계요소 프로그램을 비선형 유한요소 프로그램과 조합하였다. 조합해석 결과, 굴착부 주변의 응력집 중부에는 비선형 유한요소를 사용하고, 비선형의 영향이 미소한 주변의 다층지반에 대해서는 부영역에 의한 선형 경계요소를 사용하는 조합해석방법이 합리적이고 효율적임을 알 수 있었다.

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Testing, simulation and design of back-to-back built-up cold-formed steel unequal angle sections under axial compression

  • Ananthi, G. Beulah Gnana;Roy, Krishanu;Chen, Boshan;Lim, James B.P.
    • Steel and Composite Structures
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    • 제33권4호
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    • pp.595-614
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    • 2019
  • In cold-formed steel (CFS) structures, such as trusses, transmission towers and portal frames, the use of back-to-back built-up CFS unequal angle sections are becoming increasingly popular. In such an arrangement, intermediate welds or screw fasteners are required at discrete points along the length, preventing the angle sections from buckling independently. Limited research is available in the literature on axial strength of back-to-back built-up CFS unequal angle sections. The issue is addressed herein. This paper presents an experimental investigation on both the welded and screw fastened back-to-back built-up CFS unequal angle sections under axial compression. The load-axial shortening and the load verses lateral displacement behaviour along with the deformed shapes at failure are reported. A nonlinear finite element (FE) model was then developed, which includes material non-linearity, geometric imperfections and modelling of intermediate fasteners. The FE model was validated against the experimental test results, which showed good agreement, both in terms of failure loads and deformed shapes at failure. The validated FE model was then used for the purpose of a parametric study to investigate the effect of different thicknesses, lengths and, yield stresses of steel on axial strength of back-to-back built-up CFS unequal angle sections. Five different thicknesses and seven different lengths (stub to slender columns) with two different yield stresses were investigated in the parametric study. Axial strengths obtained from the experimental tests and FE analyses were used to assess the performance of the current design guidelines as per the Direct Strength Method (DSM); obtained comparisons show that the current DSM is conservative by only 7% on average, while predicting the axial strengths of back-to-back built-up CFS unequal angle sections.

Nonlinear numerical modelling for the effects of surface explosions on buried reinforced concrete structures

  • Nagy, N.;Mohamed, M.;Boot, J.C.
    • Geomechanics and Engineering
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    • 제2권1호
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    • pp.1-18
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    • 2010
  • The analysis of structure response and design of buried structures subjected to dynamic destructive loads have been receiving increasing interest due to recent severe damage caused by strong earthquakes and terrorist attacks. For a comprehensive design of buried structures subjected to blast loads to be conducted, the whole system behaviour including simulation of the explosion, propagation of shock waves through the soil medium, the interaction of the soil with the buried structure and the structure response needs to be simulated in a single model. Such a model will enable more realistic simulation of the fundamental physical behaviour. This paper presents a complete model simulating the whole system using the finite element package ABAQUS/Explicit. The Arbitrary Lagrange Euler Coupling formulation is used to model the explosive charge and the soil region near the explosion to eliminate the distortion of the mesh under high deformation, while the conventional finite element method is used to model the rest of the system. The elasto-plastic Drucker-Prager Cap model is used to model the soil behaviour. The explosion process is simulated using the Jones-Wilkens-Lee equation of state. The Concrete Damage Plasticity model is used to simulate the behaviour of concrete with the reinforcement considered as an elasto-plastic material. The contact interface between soil and structure is simulated using the general Mohr-Coulomb friction concept, which allows for sliding, separation and rebound between the buried structure surface and the surrounding soil. The behaviour of the whole system is evaluated using a numerical example which shows that the proposed model is capable of producing a realistic simulation of the physical system behaviour in a smooth numerical process.

A zonal hybrid approach coupling FNPT with OpenFOAM for modelling wave-structure interactions with action of current

  • Li, Qian;Wang, Jinghua;Yan, Shiqiang;Gong, Jiaye;Ma, Qingwei
    • Ocean Systems Engineering
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    • 제8권4호
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    • pp.381-407
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    • 2018
  • This paper presents a hybrid numerical approach, which combines a two-phase Navier-Stokes model (NS) and the fully nonlinear potential theory (FNPT), for modelling wave-structure interaction. The former governs the computational domain near the structure, where the viscous and turbulent effects are significant, and is solved by OpenFOAM/InterDyMFoam which utilising the finite volume method (FVM) with a Volume of Fluid (VOF) for the phase identification. The latter covers the rest of the domain, where the fluid may be considered as incompressible, inviscid and irrotational, and solved by using the Quasi Arbitrary Lagrangian-Eulerian finite element method (QALE-FEM). These two models are weakly coupled using a zonal (spatially hierarchical) approach. Considering the inconsistence of the solutions at the boundaries between two different sub-domains governed by two fundamentally different models, a relaxation (transitional) zone is introduced, where the velocity, pressure and surface elevations are taken as the weighted summation of the solutions by two models. In order to tackle the challenges associated and maximise the computational efficiency, further developments of the QALE-FEM have been made. These include the derivation of an arbitrary Lagrangian-Eulerian FNPT and application of a robust gradient calculation scheme for estimating the velocity. The present hybrid model is applied to the numerical simulation of a fixed horizontal cylinder subjected to a unidirectional wave with or without following current. The convergence property, the optimisation of the relaxation zone, the accuracy and the computational efficiency are discussed. Although the idea of the weakly coupling using the zonal approach is not new, the present hybrid model is the first one to couple the QALE-FEM with OpenFOAM solver and/or to be applied to numerical simulate the wave-structure interaction with presence of current.

Behaviour and strength of back-to-back built-up cold-formed steel unequal angle sections with intermediate stiffeners under axial compression

  • Gnana Ananthi, G. Beulah;Roy, Krishanu;Lim, James B.P.
    • Steel and Composite Structures
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    • 제42권1호
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    • pp.1-22
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    • 2022
  • In cold-formed steel (CFS) structures, such as trusses, transmission towers and portal frames, the use of back-to-back built-up CFS unequal angle sections are becoming increasingly popular. In such an arrangement, intermediate welds or screw fasteners are required at discrete points along the length, preventing the angle sections from buckling independently. Limited research is available in the literature on axial strength of back-to-back built-up CFS unequal angle sections. The issue is addressed herein. This paper presents an experimental investigation reported by the authors on back-to-back built-up CFS unequal angle sections with intermediate stiffeners under axial compression. The load-axial shortening behaviour along with the deformed shapes at failure are reported. A nonlinear finite element (FE) model was then developed, which includes material non-linearity, geometric imperfections and modelling of intermediate fasteners. The FE model was validated against the experimental test results, which showed good agreement, both in terms of failure loads and deformed shapes at failure. The validated finite element model was then used for the purpose of a parametric study comprising 96 models to investigate the effect of longer to shorter leg ratios, stiffener provided in the longer leg, thicknesses and lengths on axial strength of back-to-back built-up CFS unequal angle sections. Four different thicknesses and seven different lengths (stub to slender columns) with three overall widths to the overall depth (B/D) ratios were investigated in the parametric study. Axial strengths obtained from the experimental tests and FE analyses were used to assess the performance of the current design guidelines as per the Direct Strength Method (DSM); obtained comparisons show that the current DSM is conservative by only 7% and 5% on average, while predicting the axial strengths of back-to-back built-up CFS unequal angle sections with and without the stiffener, respectively.

Global Big Data Analysis Exploring the Determinants of Application Ratings: Evidence from the Google Play Store

  • Seo, Min-Kyo;Yang, Oh-Suk;Yang, Yoon-Ho
    • Journal of Korea Trade
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    • 제24권7호
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    • pp.1-28
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    • 2020
  • Purpose - This paper empirically investigates the predictors and main determinants of consumers' ratings of mobile applications in the Google Play Store. Using a linear and nonlinear model comparison to identify the function of users' review, in determining application rating across countries, this study estimates the direct effects of users' reviews on the application rating. In addition, extending our modelling into a sentimental analysis, this paper also aims to explore the effects of review polarity and subjectivity on the application rating, followed by an examination of the moderating effect of user reviews on the polarity-rating and subjectivity-rating relationships. Design/methodology - Our empirical model considers nonlinear association as well as linear causality between features and targets. This study employs competing theoretical frameworks - multiple regression, decision-tree and neural network models - to identify the predictors and main determinants of app ratings, using data from the Google Play Store. Using a cross-validation method, our analysis investigates the direct and moderating effects of predictors and main determinants of application ratings in a global app market. Findings - The main findings of this study can be summarized as follows: the number of user's review is positively associated with the ratings of a given app and it positively moderates the polarity-rating relationship. Applying the review polarity measured by a sentimental analysis to the modelling, it was found that the polarity is not significantly associated with the rating. This result best applies to the function of both positive and negative reviews in playing a word-of-mouth role, as well as serving as a channel for communication, leading to product innovation. Originality/value - Applying a proxy measured by binomial figures, previous studies have predominantly focused on positive and negative sentiment in examining the determinants of app ratings, assuming that they are significantly associated. Given the constraints to measurement of sentiment in current research, this paper employs sentimental analysis to measure the real integer for users' polarity and subjectivity. This paper also seeks to compare the suitability of three distinct models - linear regression, decision-tree and neural network models. Although a comparison between methodologies has long been considered important to the empirical approach, it has hitherto been underexplored in studies on the app market.

최극해파통계분석을 위한 Korteweg-de Vries식의 적용성 검토 (Applicability of the Korteweg-de Vries Equation for Description of the Statistics of Freak Waves)

  • Anna Kokorina;Efim Pelinovsky
    • 한국해안해양공학회지
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    • 제14권4호
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    • pp.308-318
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    • 2002
  • 본 논문에서는 Korteweg de Vries(이하 KdV)방정식의 골격내에서 천해의 풍파의 수치모형요구조건에 대한 토의를 수행하였다. KdV식을 실험자료를 포함하는 발달된 해상상태, 비정상적 풍파와 나블상황에 적용시의 비선형성과 분산성의 취약점을 논하였다. 최극해파통계의 충분한 평가를 위해서는 파고기록이 적어도 10.000개 정도의 해파를 다루어야 하는데 이는 숫적으로 다루기 힘들다. 따라서 유의파의 2-2.3배에 상응하는 최극해파의 통계적 특성을 효과적으로 평가할 수 있는 가능성을 제시하는 불규칙해파의 수치적 모형을 제시하였다.

소속 함수에 의한 퍼지 추론 시스템의 입출력 공간 특성 및 성능 분석 (Characteristics of Input-Output Spaces of Fuzzy Inference Systems by Means of Membership Functions and Performance Analyses)

  • 박건준;이동윤
    • 한국콘텐츠학회논문지
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    • 제11권4호
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    • pp.74-82
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    • 2011
  • 비선형 공정을 퍼지 모델링 하는 것은 전체 입력의 공간 분할 및 퍼지 추론 방법에 따른 퍼지 추론 시스템의 입출력 특성을 분석하는 것이 필요하다. 이를 위해, 퍼지 모델은 입력 변수와 퍼지 입력 공간 분할 및 후반부 다항식 함수에 의한 구조 및 파라미터를 동정함으로서 표현된다. 퍼지 규칙의 전반부에서 입력 데이터의 최소 값과 최대 값을 이용하는 최소-최대 방법 및 입력 데이터를 군집으로 형성하는 C-Means 클러스터링 알고리즘이 퍼지 모델의 동정을 위해 사용되고, 소속 함수는 삼각형, 범종형, 사다리꼴형 소속함수를 사용한다. 퍼지 규칙의 후반부 동정에서 퍼지 추론은 간략 및 선형 추론과 같은 두 가지 형태를 수행한다. 각 규칙의 후반부 파라미터들, 즉 다항식의 계수들의 동정은 표준 최소자승법에 의해 수행된다. 마지막으로, 비선형 공정으로는 널리 이용되는 가스로 데이터를 이용하여 시스템 특성 및 성능을 평가한다.