• 제목/요약/키워드: Iteration scheme

검색결과 242건 처리시간 0.024초

Nonlinear time-varying analysis algorithms for modeling the behavior of complex rigid long-span steel structures during construction processes

  • Tian, Li-Min;Hao, Ji-Ping
    • Steel and Composite Structures
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    • 제18권5호
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    • pp.1197-1214
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    • 2015
  • There is a great difference in mechanical behavior between design model one-time loading and step-by-step construction process. This paper presents practical computational methods for simulating the structural behavior of long-span rigid steel structures during construction processes. It introduces the positioning principle of node rectification for installation which is especially suitable for rigid long-span steel structures. Novel improved nonlinear analytical methods, known as element birth and death of node rectification, are introduced based on several calculating methods, as well as a forward iteration of node rectification method. These methods proposed in this paper can solve the problem of element's 'floating' and can be easily incorporated in commercial finite element software. These proposed methods were eventually implemented in the computer simulation and analysis of the main stadium for the Universiade Sports Center during the construction process. The optimum construction scheme of the structure is determined by the improved algorithm and the computational results matched well with the measured values in the project, thus indicating that the novel nonlinear time-varying analysis approach is effective construction simulation of complex rigid long-span steel structures and provides useful reference for future design and construction.

축방향 경계 조건을 고려한 두꺼운 실린더의 점소성 응력해 (Viscoplastic Solution of Thick Walled Cylinder Considering Axial Constraint)

  • 윤삼손;이순복
    • 대한기계학회논문집A
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    • 제27권9호
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    • pp.1555-1561
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    • 2003
  • Finite element analysis using modern constitutive equation is one of the most general tools to simulate the deformation behavior and to predict the life of the structure. Constitutive equation becomes complicated so as to predict the material behavior more accurately than the classical models. Because of the complexity of constitutive model, numerical treatment becomes so difficult that the calculation should be verified carefully. One-element tests, simple tension or simple shear, are usually used to verify the accuracy of finite element analysis using complicated constitutive model. Since this test is mainly focused on the time integration scheme, it is also necessary to verify the equilibrium iteration using material stiffness matrix and to compare FE results with solution of structures. In this investigation, viscoplastic solution of thick walled cylinder was derived considering axial constraints and was compared with the finite element analysis. All the numerical solutions showed a good coincidence with FE results. This numerical solution can be used as a verification tool for newly developed FE code with complicated constitutive model.

계산 복잡성이 단순화된 비선형 추정기를 사용한 Bussgang 블라인드 등화 (Bussgang Blind Equalization Using Nonlinear Estimators with Reduced Computational Complexity)

  • 오길남
    • 대한전자공학회논문지SP
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    • 제42권6호
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    • pp.177-186
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    • 2005
  • 이 논문에서는 계산 복잡성이 단순화된 비선형 추정기를 소개하고, 이를 적용한 Bussgang 블라인드 등화 알고리즘을 제안한다. 제안한 알고리즘은 베이즈 추정기가 눈 모형이 닫힌 등화 초기에는 시그모이드 추정기로 잘 근사화되며, 눈 모형이 열린 조건에서는 임계 추정기에 근사화되는 사실을 이용하였다. 제안 방법에서는 매 갱신 마다 채널 왜곡의 정도에 따라 시그모이드 추정기와 임계 추정기를 선택적으로 적용하고, 특히 시그모이드 추정기에 축소 신호점을 도입함으로써 고차 QAM 신호의 블라인드 등화에 적용 시 계산 복잡성을 극히 단순화하는 동시에 블라인드 수렴 특성과 정상상태 성능을 개선할 수 있음을 보인다.

Non-grey Radiative Transfer in the Solar Surface Convection

  • 박기훈;김용철
    • 천문학회보
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    • 제36권1호
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    • pp.34.1-34.1
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    • 2011
  • Combining a detailed non-grey radiative transfer computation with the three dimensional hydrodynamics, we investigate a reliable numerical scheme for turbulent convection in the solar surface. The solar photosphere is the extremely turbulent region composed of partly ionized compressible gases in high temperature. Especially, the super adiabatic layer (SAL) near the solar photosphere is the shallow transition region where the energy transport varies steeply from convection to radiation. In order to describe physical processes accurately, a detailed treatment of radiative transfer should be considered as well as the high resolution computation of fluid dynamics. For a direct computation of radiation fields, the Accelerated Lambda Iteration (ALI) methods have been applied to hydrodynamical medium, incorporating the Opacity Distribution Function (ODF) as a realistic schemes for non-grey problems. Computational domain is the rectangular box of dimensions $42{\times}3Mn$ with the resolution of $1202{\times}190$ meshed grids, which covers several granules horizontally and 8 ~ 9 pressure scale heights vertically. During several convective turn-over times, the 3-D snapshots have been compiled with a second order accuracy. In addition, our radiation-hydrodynamical computation has been compared with the classical approximations such as grey atmospheres and Eddington approximation.

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領域適應法을 利용한 彈性體 形狀의 最適設計 (Shape optimal design of elastic structures by the domain adaptive method)

  • 정균양
    • 대한기계학회논문집
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    • 제11권2호
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    • pp.234-242
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    • 1987
  • 본 논문에서는 변분법으로 유도한 최적조건을 수치계산에 적용키 위해 영역적 응법이 사용되었으며 불규칙한 형상의 방지에는 격자 적응법이 제시되었다. 설계 문 제로는 '국부 응력치의 일정 한도내에서 구조물 무게의 최소화' 또는 대등한 문제로 '제한된 구조물의 무게한도내에서 최대 국부응력치의 최소화'를 다루었다.

단일 권선 FEM 시뮬레이션을 통한 자기유도형 무선전력전송 코일의 효율 최적화 설계 (Coil Design Scheme using Single-Turn FEM Simulation for Efficiency Optimization of Inductive Power Transfer System)

  • 류승하;쫑탄띤;최성진
    • 전력전자학회논문지
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    • 제27권6호
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    • pp.471-480
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    • 2022
  • Inductive power transfer (IPT) is an attractive power transmission solution that is already used in many applications. In the IPT system, optimal coil design is essential to achieve high power efficiency, but the effective design method is yet to be investigated. The inductance formula and finite element method (FEM) are popular means to link the coil geometric parameters and circuit parameters; however, the former lacks generality and accuracy, and the latter consumes much computation time. This study proposes a novel coil design method to achieve speed and generality without much loss of accuracy. By introducing one-turn permeance simulation in each FEM phase combined with curve fitting and optimization by MATLAB in the efficiency calculation phase, the iteration number of FEM can be considerably reduced, and the generality can be retained. The proposed method is verified through a 100 W IPT system experiment.

Nonlinear bending analysis of functionally graded CNT-reinforced composite plates

  • Cho, Jin-Rae
    • Steel and Composite Structures
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    • 제42권1호
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    • pp.23-32
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    • 2022
  • In this paper, a nonlinear numerical method to solve the large deflection problem is introduced. And the non-dimensional load-deflection behavior of functionally graded carbon nanotube-reinforced composite (FG-CNTRC) plates is parametrically investigated. The large deflection problem is formulated according to the von Kármán nonlinear theory and the (1,1,0)* hierarchical model, and it is approximated by 2-D natural element method (NEM). The shear locking phenomenon is suppressed by the selectively reduced integration method. The nonlinear matrix equations are solved by combining the incremental loading scheme and the Newton-Raphson iteration method. The proposed method is validated from the benchmark experiments, where the propose method shows an excellent agreement with the reference methods. The nonlinear behavior of FG-CNTRC plates is evaluated in terms of the non-dimensional load-deflection curve, and it is parametrically investigated with respect to the existence/non-existence and gradient pattern of CNTs, the width-to-thickness and aspect ratios of plates and the type of boundary conditions. The non-dimensional central deflection is significantly reduced when CNTs and added, and it decreases with the volume fraction of CNTs. But, it shows a uniform increase in proportion to the width-to-thickness and aspect ratios. Both the gradient pattern of CNTs and the type of boundary conditions do also show the remarkable effects.

The level set-based topology optimization for three-dimensional functionally graded plate using thin-plate spline

  • Banh, Thanh T.;Luu, Nam G.;Lee, Dongkyu
    • Steel and Composite Structures
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    • 제44권5호
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    • pp.633-649
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    • 2022
  • This paper is first implemented with the bending behavior of three-dimensional functionally graded (3DFG) plates in the framework of level set-based topology optimization (LS-based TO). Besides, due to the suitable properties of the current design domain, the thin-plate spline (TPS) is recognized as a RBF to construct the LS function. The overall mechanical properties of the 3DFG plate are assessed using a power-law distribution scheme via Mori-Tanaka micromechanical material model. The bending response is obtained using the first-order shear deformation theory (FSDT). The mixed interpolation of four elements of tensorial components (MITC4) is also implemented to overcome a well-known shear locking problem when the thickness becomes thinner. The Hamilton-Jacobi method is utilized in each iteration to enforce the necessary boundary conditions. The mathematical formulas are expressed in great detail for the LS-based TO using 3DFG materials. Several numerical examples are exhibited to verify the efficiency and reliability of the current methodology with the previously reported literature. Finally, the influences of FG materials in the optimized design are explained in detail to illustrate the behaviors of optimized structures.

Investigation of nonlinear free vibration of FG-CNTRC cylindrical panels resting on elastic foundation

  • J.R. Cho
    • Structural Engineering and Mechanics
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    • 제88권5호
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    • pp.439-449
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    • 2023
  • Non-linear vibration characteristics of functionally graded CNT-reinforced composite (FG-CNTRC) cylindrical shell panel on elastic foundation have not been sufficiently examined. In this situation, this study aims at the profound numerical investigation of the non-linear vibration response of FG-CNTRC cylindrical panels on Winkler-Pasternak foundation by introducing an accurate and effective 2-D meshfree-based non-linear numerical method. The large-amplitude free vibration problem is formulated according to the first-order shear deformation theory (FSDT) with the von Karman non-linearity, and it is approximated by Laplace interpolation functions in 2-D natural element method (NEM) and a non-linear partial derivative operator HNL. The complex and painstaking numerical derivation on the curved surface and the crucial shear locking are overcome by adopting the geometry transformation and the MITC3+ shell elements. The derived nonlinear modal equations are iteratively solved by introducing a three-step iterative solving technique which is combined with Lanczos transformation and Jacobi iteration. The developed non-linear numerical method is estimated through the benchmark test, and the effects of foundation stiffness, CNT volume fraction and functionally graded pattern, panel dimensions and boundary condition on the non-linear vibration of FG-CNTRC cylindrical panels on elastic foundation are parametrically investigated.

Resource Allocation and Offloading Decisions of D2D Collaborative UAV-assisted MEC Systems

  • Jie Lu;Wenjiang Feng;Dan Pu
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • 제18권1호
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    • pp.211-232
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    • 2024
  • In this paper, we consider the resource allocation and offloading decisions of device-to-device (D2D) cooperative UAV-assisted mobile edge computing (MEC) system, where the device with task request is served by unmanned aerial vehicle (UAV) equipped with MEC server and D2D device with idle resources. On the one hand, to ensure the fairness of time-delay sensitive devices, when UAV computing resources are relatively sufficient, an optimization model is established to minimize the maximum delay of device computing tasks. The original non-convex objective problem is decomposed into two subproblems, and the suboptimal solution of the optimization problem is obtained by alternate iteration of two subproblems. On the other hand, when the device only needs to complete the task within a tolerable delay, we consider the offloading priorities of task to minimize UAV computing resources. Then we build the model of joint offloading decision and power allocation optimization. Through theoretical analysis based on KKT conditions, we elicit the relationship between the amount of computing task data and the optimal resource allocation. The simulation results show that the D2D cooperation scheme proposed in this paper is effective in reducing the completion delay of computing tasks and saving UAV computing resources.