• 제목/요약/키워드: nonlinear global analysis

검색결과 270건 처리시간 0.026초

Global Bifurcations and Chaos Via Breaking of KAM Tori of an Harmonically Excited Imperfect Circular Plate

  • Samoylenko, S.B.;Lee, W.K.
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2005년도 춘계학술대회논문집
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    • pp.419-422
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    • 2005
  • Global bifurcations and chaos in modal interactions of an imperfect circular plate with one-to-one internal resonance are investigated. The case of primary resonance, in which an excitation frequency is near natural frequencies, is considered. The damping force is not included in the analysis. The renormalization-group technique for KAM tori is used to obtain the criteria for large-scale stochasticity in the system.

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Structural system simulation and control via NN based fuzzy model

  • Tsai, Pei-Wei;Hayat, T.;Ahmad, B.;Chen, Cheng-Wu
    • Structural Engineering and Mechanics
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    • 제56권3호
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    • pp.385-407
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    • 2015
  • This paper deals with the problem of the global stabilization for a class of tension leg platform (TLP) nonlinear control systems. It is well known that, in general, the global asymptotic stability of the TLP subsystems does not imply the global asymptotic stability of the composite closed-loop system. Finding system parameters for stabilizing the control system is also an issue need to be concerned. In this paper, we give additional sufficient conditions for the global stabilization of a TLP nonlinear system. In particular, we consider a class of NN based Takagi-Sugeno (TS) fuzzy TLP systems. Using the so-called parallel distributed compensation (PDC) controller, we prove that this class of systems can be globally asymptotically stable. The proper design of system parameters are found by a swarm intelligence algorithm called Evolved Bat Algorithm (EBA). An illustrative example is given to show the applicability of the main result.

강성등가하중을 이용한 새로운 비선형해석 알고리즘 (New Nonlinear Analysis Algorithm Using Equivalent Load for Stiffness)

  • 김영민;김치경;김태진
    • 한국전산구조공학회논문집
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    • 제20권6호
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    • pp.731-742
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    • 2007
  • 본 연구에서는 새로운 비선형해석 알고리즘인 적응형 Newton-Raphson 반복기법을 제안한다. 제안된 기법은 기존 Newton-Raphson 기법을 근간으로 적응형 부구조물화 기법을 이용하여 강성등가하중을 구하고, 이미 역행렬이 계산되어 있는 초기강성행렬에 강성등가하중을 적용하여 보정변위를 구하는 것으로 요약된다. 제안된 알고리즘의 가장 큰 특징은 하중 구간의 수에 관계없이 구조물 강성행렬에 대한 역행렬 계산을 단 한번만 수행한다는 것이다. 제안된 기법의 효율성은 강성행렬 및 역행렬 계산 후 부재강성행렬이 변경된 부재들이 연결된 자유도 수와 전체 자유도 수의 비율에 직접 관계된다. 이 비율에 따라 제안된 기법을 기존 비선형해석 기법과 보완적으로 사용함으로써 전체 비선형해석 효율을 향상시킬 수 있다.

Optimal design using genetic algorithm with nonlinear inelastic analysis

  • Kim, Seung-Eock;Ma, Sang-Soo
    • Steel and Composite Structures
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    • 제7권6호
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    • pp.421-440
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    • 2007
  • An optimal design method in cooperated with nonlinear inelastic analysis is presented. The proposed nonlinear inelastic method overcomes the difficulties due to incompatibility between the elastic global analysis and the limit state member design in the conventional LRFD method. The genetic algorithm used is a procedure based on Darwinian notions of survival of the fittest, where selection, crossover, and mutation operators are used to look for high performance ones among sections in the database. They are satisfied with the constraint functions and give the lightest weight to the structure. The objective function taken is the total weight of the steel structure and the constraint functions are load-carrying capacity, serviceability, and ductility requirement. Case studies of a planar portal frame, a space two-story frame, and a three-dimensional steel arch bridge are presented.

Parameter estimation of four-parameter viscoelastic Burger model by inverse analysis: case studies of four oil-refineries

  • Dey, Arindam;Basudhar, Prabir Kr.
    • Interaction and multiscale mechanics
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    • 제5권3호
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    • pp.211-228
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    • 2012
  • This paper reports the development of a generalized inverse analysis formulation for the parameter estimation of four-parameter Burger model. The analysis is carried out by formulating the problem as a mathematical programming formulation in terms of identification of the design vector, the objective function and the design constraints. Thereafter, the formulated constrained nonlinear multivariable problem is solved with the aid of fmincon: an in-built constrained optimization solver module available in MatLab. In order to gain experience, a synthetic case-study is considered wherein key issues such as the determination and setting up of variable bounds, global optimality of the solution and minimum number of data-points required for prediction of parameters is addressed. The results reveal that the developed technique is quite efficient in predicting the model parameters. The best result is obtained when the design variables are subjected to a lower bound without any upper bound. Global optimality of the solution is achieved using the developed technique. A minimum of 4-5 randomly selected data-points are required to achieve the optimal solution. The above technique has also been adopted for real-time settlement of four oil refineries with encouraging results.

Finite element modeling of a deteriorated R.C. slab bridge: lessons learned and recommendations

  • Ho, I-Kang;Shahrooz, Bahram M.
    • Structural Engineering and Mechanics
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    • 제6권3호
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    • pp.259-274
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    • 1998
  • The test results from non-destructive and destructive field testing of a three-span deteriorated reinforced concrete slab bridge are used as a vehicle to examine the reliability of available tools for finite-element analysis of in-situ structures. Issues related to geometric modeling of members and connections, material models, and failure criteria are discussed. The results indicate that current material models and failure criteria are adequate, although lack of inelastic out-of-plane shear response in most nonlinear shell elements is a major shortcoming that needs to be resolved. With proper geometric modeling, it is possible to adequately correlate the measured global, regional, and local responses at all limit states. However, modeling of less understood mechanisms, such as slab-abutment connections, may need to be finalized through a system identification technique. In absence of the experimental data necessary for this purpose, upper and lower bounds of only global responses can be computed reliably. The studies reaffirm that success of finite-element models has to be assessed collectively with reference to all responses and not just a few global measurements.

등분포 중심축 하중을 받는 단층래티스돔의 좌굴거동 (Buckling Behaviors of Single-Layered Lattice Dome under Radial Uniform Loads)

  • 김충만;유은종;나창순
    • 한국전산구조공학회논문집
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    • 제28권1호
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    • pp.53-61
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    • 2015
  • 본 논문에서는 대공간구조에 폭넓게 사용되는 단층 래티스돔의 비선형거동에 관한 비교 연구를 수행하였다. 단층 래티스돔은 특성상 두께가 얇은 쉘구조의 거동과 유사하므로 전통적인 쉘좌굴 이론을 적용하여 내력을 산출할 수 있으며 또한 이 결과를 유한요소해석 프로그램을 이용한 수치해석의 결과와 비교, 분석하였다. 쉘좌굴 이론을 이용하여서는 래티스 돔의 전체좌굴하중과 부재좌굴하중을 산정하였으며, 유한요소해석법을 이용하여서는 고유치 해석에 의한 좌굴하중과 기하학적 비선형 해석에 의한 극한하중을 각각 산정하였다. 래티스돔의 절점은 강절점 및 핀절점으로 각각 모델링하였다. 쉘좌굴이론에 의한 좌굴내력은 전체좌굴하중과 부재좌굴하중의 작은 값으로 결정되며 이 값은 유한요소해석을 이용한 고유치 해석보다는 비선형 해석에 의한 극한하중에 보다 근사한 값을 제공하였으며 또한 좌굴하중의 형식을 예측하는데에 유용하게 활용되었다.

RC 보-기둥 접합부의 해석 모델링과 거동 (Analytical modelling and behavior of RC beam-column joints)

  • 우성우;이한선
    • 한국콘크리트학회:학술대회논문집
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    • 한국콘크리트학회 2003년도 가을 학술발표회 논문집
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    • pp.388-391
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    • 2003
  • In this study, the experimental results were simulated by using a nonlinear analysis programs IDARC 2D and RUAUMOKO 2D. These programs use a global Takeda-like model. The objectives of this study is to verify the correlation between the experimental and analytical responses of reinforced concrete (RC) frame and to provide the calibration to the available static inelastic analysis techniques. The evaluation of the accuracy of analytical simulation by IDARC 2D and RUAUMOKO 2D leads to the conclusion that the global behaviors can be, in general, simulated with limited accuracy in the linear analysis as detailing.

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Seismic performance evaluation of coupled core walls with concrete and steel coupling beams

  • Fortney, Patrick J.;Shahrooz, Bahram M.;Rassati, Gian A.
    • Steel and Composite Structures
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    • 제7권4호
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    • pp.279-301
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    • 2007
  • When coupling beams are proportioned appropriately in coupled core wall (CCW) systems, the input energy from ground motions is dissipated primarily through inelastic deformations in plastic hinge regions at the ends of the coupling beams. It is desirable that the plastic hinges form at the beam ends while the base wall piers remain elastic. The strength and stiffness of the coupling beams are, therefore, crucial if the desired global behavior of the CCW system is to be achieved. This paper presents the results of nonlinear response history analysis of two 20-story CCW buildings. Both buildings have the same geometric dimensions, and the components of the buildings are designed based on the equivalent lateral force procedure. However, one building is fitted with steel coupling beams while the other is fitted with diagonally reinforced concrete coupling beams. The force-deflection relationships of both beams are based on experimental data, while the moment-curvature and axial load-moment relationships of the wall piers are analytically generated from cross-sectional fiber analyses. Using the aforementioned beam and wall properties, nonlinear response history analyses are performed. Superiority of the steel coupling beams is demonstrated through detailed evaluations of local and global responses computed for a number of recorded and artificially generated ground motions.

Design of Fuzzy Model Based Controller for Uncertain Nonlinear Systems

  • Wook Chang;Joo, Young-Hoon;Park, Jin-Bae;Guanrong Chen
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1998년도 제13차 학술회의논문집
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    • pp.185-189
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    • 1998
  • This paper addresses analysis and design of a fuzzy model-based-controller for the control of uncertain SISO nonlinear systems. In the design procedure, we represent the nonlinear system by using a Takagi-Sugeno fuzzy model and construct a global fuzzy logic controller via parallel distributed compensation and sliding mode control. Unlike other parallel distributed controllers, this globally stable fuzzy controller is designed without finding a common positive definite matrix for a set of Lyapunov equations, and has good tracking performance. The stability analysis is conducted not for the fuzzy model but for the real underlying nonlinear system. Furthermore, the proposed method can be applied to partially known uncertain nonlinear systems. A numerical simulation is performed for the control of an inverted pendulum, to show the effectiveness and feasibility of the proposed fuzzy control method.

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