• 제목/요약/키워드: Lagrange

검색결과 839건 처리시간 0.028초

Nonlinear bending analysis of laminated composite stiffened plates

  • Patel, Shuvendu N.
    • Steel and Composite Structures
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    • 제17권6호
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    • pp.867-890
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    • 2014
  • This paper deals with the geometric nonlinear bending analysis of laminated composite stiffened plates subjected to uniform transverse loading. The eight-noded degenerated shell element and three-noded degenerated curved beam element with five degrees of freedom per node are adopted in the present analysis to model the plate and stiffeners respectively. The Green-Lagrange strain displacement relationship is adopted and the total Lagrangian approach is taken in the formulation. The convergence study of the present formulation is carried out first and the results are compared with the results published in the literature. The stiffener element is reformulated taking the torsional rigidity in an efficient manner. The effects of lamination angle, depth of stiffener and number of layers, on the bending response of the composite stiffened plates are considered and the results are discussed.

비선형 시스템을 위한 보간 기반의 적응 LQ 제어 (Interpolation-Based Adaptive LQ Control for Nonlinear Systems)

  • 이윤형;안종갑;진강규;소명옥
    • Journal of Advanced Marine Engineering and Technology
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    • 제32권4호
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    • pp.618-623
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    • 2008
  • This paper presents a design method of the Interpolation-based adaptive LQ controller that is accomplished by getting the final controller interpolated with each gain of sub-LQ controllers. The Lagrange interpolation method is used in the scheme. The proposed controller is useful to control nonlinear systems which are especially changed the system parameters. The design method is illustrated by an application to the stabilization and tracking problems of an inverted pole system on a cart. Several cases of simulations are carried out in order to validate the control effectiveness and robustness. The simulation results are compared with those of LQ controller and prove the better control performance than LQ controller.

A Novel Approach for the Unit Commitment with Vehicle-to-grid

  • Jin, Lei;Yang, Huan;Zhou, Yuying;Zhao, Rongxiang
    • Journal of international Conference on Electrical Machines and Systems
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    • 제2권3호
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    • pp.367-374
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    • 2013
  • The electrical vehicles (EV) with vehicle-to-grid (V2G) capability can be used as loads, energy sources and energy storage in MicroGrid integrated with renewable energy sources. The output power of generators will be reallocated in the considering of V2G. An intelligent unit commitment (UC) with V2G for cost optimization is presented in this paper. A new constraint of UC with V2G is considered to satisfy daily use of EVs. A hybrid optimiza-tion algorithm combined Binary Particle Swarm Optimization (BPSO) with Lagrange Mul-tipliers Method (LMM) is proposed. The difference between results of UC with V2G and UC without V2G is presented.

Nonlinear flexural vibration of shear deformable functionally graded spherical shell panel

  • Kar, Vishesh R.;Panda, Subrata K.
    • Steel and Composite Structures
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    • 제18권3호
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    • pp.693-709
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    • 2015
  • In this article, nonlinear free vibration behaviour of functionally graded spherical panel is analysed. A nonlinear mathematical model is developed based on higher order shear deformation theory for shallow shell by taking Green-Lagrange type of nonlinear kinematics. The material properties of functionally graded material are assumed to be varying continuously in transverse direction and evaluated using Voigt micromechanical model in conjunction with power-law distribution. The governing equation of the shell panel is obtained using Hamilton's principle and discretised with the help of nonlinear finite element method. The desired responses are evaluated through a direct iterative method. The present model has been validated by comparing the frequency ratio (nonlinear frequency to linear frequency) with those available published literatures. Finally, the effect of geometrical parameters (curvature ratio, thickness ratio, aspect ratio and support condition), power law indices and amplitude of vibration on the frequency ratios of spherical panel have been discussed through numerical experimentations.

NURBS-based isogeometric analysis for thin plate problems

  • Shojaee, S.;Valizadeh, N.
    • Structural Engineering and Mechanics
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    • 제41권5호
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    • pp.617-632
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    • 2012
  • An isogeometric approach is presented for static analysis of thin plate problems of various geometries. Non-Uniform Rational B-Splines (NURBS) basis function is applied for approximation of the thin plate deflection, as for description of the geometry. The governing equation based on Kirchhoff plate theory, is discretized using the standard Galerkin method. The essential boundary conditions are enforced by the Lagrange multiplier method. Several typical examples of thin plate and thin plate on elastic foundation are solved and compared with the theoretical solutions and other numerical methods. The numerical results show the robustness and efficiency of the proposed approach.

황도만에서의 잔차류와 물질소송의 수치모형실험 (A Numerical Simulation of Residual Current and Material Transportation in Hiroshima Bay, Japan)

  • 이인철
    • 한국해양공학회지
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    • 제15권1호
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    • pp.45-51
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    • 2001
  • In order to clarify the seasonal variation of the residual current and the material transportation process in Hiroshima Bay, JAPAN, the real-time simulation of residual current and particle tracking by using the Euler-Lagrange model were carried out. The calculated tidal current, water temperature, and salinity showed good agreement with the observed ones. The residual currents showed a southward flow pattern at the upper layer, and a northward flow pattern at the lower layer. The flow structure of the residual current in Hiroshima Bay is an estuarine circulation affected by density flow and wind driven current. The residual current plays an important role of material transportation in the bay.

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Lagrange Multipliers에 의한 슬래브시스템의 신뢰성 최적설계 (Reliability Optimum Design of Slab System based on Lagrange Multipliers)

  • 김현석;이증빈;정철원
    • 한국구조물진단유지관리공학회 논문집
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    • 제1권1호
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    • pp.113-124
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    • 1997
  • Based on the recent developments of the reliability-based structural analysis and design as well as the extending knowledge on the probabilistic characteristics of load and resistances, the probability based design criteria have been successfully developed for many standards. Since the probabilistic characteristics depend highly on the local load and resistances, it is recognized to develop the design criterion compatible with domestic requirements. The existing optimum design methods, which are generally based on the structural theory and certain engineering exprience, do not realistically consider the uncertainties of load and resistances and the basic reliability concepts. This study is directed to propose a optimum design based Expected Total Cost Minimization on two-way slab system which could possibly replace optimum design based traditional provisions of the current code, based on the AFOSM reliablity theory.

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차세대 이동 통신 시스템에서 두 개의 빔형성 알고리즘을 이용한 최적의 출력값 선택 (Selective Beam-Forming Algorithms for Optimum Outputs of Next Generation Communication System)

  • 안성수;김정인;김민수
    • 디지털산업정보학회논문지
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    • 제4권3호
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    • pp.69-75
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    • 2008
  • The objective of this paper is to increase the performance by selecting the optimal value in outputs of two algorithms that are Generlized-Lagrange and LMS(Least Mean Square). This paper presents superior performance by mixed two of conventional algorithm arbitrary. Based on the analysis from various simulation, it is observed that proposed method is better performance in terms of practical WLL(Wireless Local Loop) environment.

경사면에 작용하는 고립파의 특성 (Characteristics of Solitary Waves Acting on Slopes)

  • 전찬후;이봉희;조용식
    • 한국수자원학회논문집
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    • 제35권6호
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    • pp.779-786
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    • 2002
  • Lagrange 방법과 B-spline 기법을 이용한 경계요소법으로 경사면에 작용하는 고립파의 특성을 연구하였다. 최대 처오름높이는 실험자료와 비교한 결과, 기존의 경계요소법에 의한 결과에 비해 높은 정확도를 나타냈다. 또한, 벽면 경사각의 변화에 따른 최대 처오름높이와 속도벡터의 변화를 나타내었으며, 경사면에 작용하는 동수압의 특성을 조사하였다.

등제한조건을 이용한 목적함수에 대한 최적민감도 (Optimum Sensitivity of Objective Function using Equality Constraint)

  • 이상일;신정규;박경진
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 2005년도 추계학술대회 논문집
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    • pp.464-469
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    • 2005
  • Optimum sensitivity analysis (OSA) is the process to find the sensitivity of optimum solution with respect to the parameter in the optimization problem. The prevalent OSA methods calculate the optimum sensitivity as a post-processing. In this research, a simple technique is proposed to obtain optimum sensitivity as a result of the original optimization problem, provided that the optimum sensitivity of objective function is required. The parameters are considered as additional design variables in the original optimization problem. And then, it is endowed with equality constraints to penalize the additional variables. When the optimization problem is solved, the optimum sensitivity of objective function is simultaneously obtained as Lagrange multiplier. Several mathematical and engineering examples are solved to show the applicability and efficiency of the method compared to other OSA ones.

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