• Title/Summary/Keyword: nonlinear structure system

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Robust market-based control method for nonlinear structure

  • Song, Jian-Zhu;Li, Hong-Nan;Li, Gang
    • Earthquakes and Structures
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    • v.10 no.6
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    • pp.1253-1272
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    • 2016
  • For a nonlinear control system, there are many uncertainties, such as the structural model, controlled parameters and external loads. Although the significant progress has been achieved on the robust control of nonlinear systems through some researches on this issue, there are still some limitations, for instance, the complicated solving process, weak conservatism of system, involuted structures and high order of controllers. In this study, the computational structural mechanics and optimal control theory are adopted to address above problems. The induced norm is the eigenvalue problem in structural mechanics, i.e., the elastic stable Euler critical force or eigenfrequency of structural system. The segment mixed energy is introduced with a precise integration and an extended Wittrick-Williams (W-W) induced norm calculation method. This is then incorporated in the market-based control (MBC) theory and combined with the force analogy method (FAM) to solve the MBC robust strategy (R-MBC) of nonlinear systems. Finally, a single-degree-of-freedom (SDOF) system and a 9-stories steel frame structure are analyzed. The results are compared with those calculated by the $H{\infty}$-robust (R-$H{\infty}$) algorithm, and show the induced norm leads to the infinite control output as soon as it reaches the critical value. The R-MBC strategy has a better control effect than the R-$H{\infty}$ algorithm and has the advantage of strong strain capacity and short online computation time. Thus, it can be applied to large complex structures.

Determining Kernel Function of Apparent Earth Resistivity Using Linearization (선형화를 이용한 대지저항률의 커널함수 결정)

  • Kang, Min-Jae;Boo, Chang-Jin;Lee, Jung-Hoon;Kim, Ho-Chan
    • Journal of the Korean Institute of Intelligent Systems
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    • v.22 no.4
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    • pp.454-459
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    • 2012
  • A kernel function of apparent earth resistivity can be estimated using the apparent earth resistivity measured with Wenner's 4 point method. It becomes to solve a nonlinear system to estimate the kernel function of apparent earth resistivity. However it is not simple to get solution of nonlinear system with many unknown variables. This paper suggests the method of estimating kernel function by linearizing this nonlinear system. Finally, various examples of earth structure have been simulated to evaluate the proposed method in this paper.

Stabilization Control of the Nonlinear System using A RVEGA ~. based Optimal Fuzzy Controller (RVEGA 최적 퍼지 제어기를 이용한 비선형 시스템의 안정화 제어에 관한 연구)

  • 이준탁;정동일
    • Journal of Advanced Marine Engineering and Technology
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    • v.21 no.4
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    • pp.393-403
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    • 1997
  • In this paper, we proposed an optimal identification method of identifying the membership func¬tions and the fuzzy rules for the stabilization controller of the nonlinear system by RVEGA( Real Variable Elitist Genetic Algo rithm l. Although fuzzy logic controllers have been successfully applied to industrial plants, most of them have been relied heavily on expert's empirical knowl¬edge. So it is very difficult to determine the linguistic state space partitions and parameters of the membership functions and to extract the control rules. Most of conventional approaches have the drastic defects of trapping to a local minima. However, the proposed RVEGA which is similiar to the processes of natural evolution can optimize simulta¬neously the fuzzy rules and the parameters of membership functions. The validity of the RVEGA - based fuzzy controller was proved through applications to the stabi¬lization problems of an inverted pendulum system with highly nonlinear dynamics. The proposed RVEGA - based fuzzy controller has a swing -. up control mode(swing - up controller) and a stabi¬lization one(stabilization controller), moves a pendulum in an initial stable equilibrium point and a cart in an arbitrary position, to an unstable equilibrium point and a center of the rail. The stabi¬lization controller is composed of a hierarchical fuzzy inference structure; that is, the lower level inference for the virtual equilibrium point and the higher level one for position control of the cart according to the firstly inferred virtual equilibrium point. The experimental apparatus was imple¬mented by a DT -- 2801 board with AID, D/A converters and a PC - 586 microprocessor.

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Numerical Simulation of Soil-Structure Interaction in Centrifuge Shaking Table System (지반-구조물 상호작용 원심모형시험에 대한 수치해석)

  • Kim, Dong-Kwan;Park, Hong-Gun;Kim, Dong-Soo;Lee, Sei-Hyun
    • Proceedings of the Korean Geotechical Society Conference
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    • 2010.09a
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    • pp.201-204
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    • 2010
  • Earthquake load to design a structure has been calculated from a fixed base SDOF model using amplified surface accelerations along soft soil layers. But the method dose not consider a soil-structure interaction. Centrifugal experiments that were consisted of soil, a shallow foundation and a structure were performed to find the effects of soil-structure interaction. The experiments showed that mass and stiffness of the foundation affected a response of the structure and nonlinear behavior of soil near the foundation. And a rocking displacement caused by overturning moment affected the response and increases a damping effect. In this study, the centrifugal experiment was simulated as a two dimensional finite element model. The finite element model was used for nonlinear time domain analysis of the OpenSees program. The numerical model accurately evaluated the behaviors of soil and the foundation, but the rocking effect and the behavior of structure were not described.

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Creating Simultaneous Story Arcs Using Constraint Based Narrative Structure (제약 조건 기반 서술구조를 이용한 동시 진행 이야기의 생성)

  • Moon, Sung-Hyun;Kim, Seok-Kyoo;Hong, Euy-Seok;Han, Sang-Yong
    • The Journal of the Korea Contents Association
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    • v.10 no.5
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    • pp.107-114
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    • 2010
  • A nonlinear story is generated through the interactivity with users using the interactive storytelling system. In a play or movie, audiences can watch one scene at a time, and in order to watch next scene, they should wait for the end of current scene. In the real world, however, various events can simultaneously happen at different places, and even those events performed by characters may dramatically affect the flow of the story. This paper suggests Constraint Based narrative structure to create such story, known as "Simultaneous Story Arcs", and "Multi Viewpoint" to simultaneously lead the direction of the stories in each place.

Shaking Table Test for Analysis of Effect on Vibration Control of the Piping System by Steel Coil Damper (강재 코일 댐퍼의 배관시스템 진동제어 효과 분석을 위한 진동대시험)

  • Choi, Song Yi;So, Gi Hwan;Cho, Sung Gook
    • Journal of the Earthquake Engineering Society of Korea
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    • v.26 no.1
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    • pp.39-48
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    • 2022
  • Many piping systems installed in the power plant are directly related to the safety and operation of the plant. Various dampers have been applied to the piping system to reduce the damage caused by earthquakes. In order to reduce the vibration of the piping system, this study developed a steel coil damper (SCD) with a straightforward structure but excellent damping performance. SCD reduces the vibration of the objective structure by hysteretic damping. The new SCD damper can be applied to high-temperature environments since it consists of steel members. The paper introduces a design method for the elastoplastic coil spring, which is the critical element of SCD. The practical applicability of the design procedure was validated by comparing the nonlinear force-displacement curves calculated by design equations with the results obtained from nonlinear finite element analysis and repeated loading test. It was found that the designed SCD's have a damping ratio higher than 25%. In addition, this study performed a set of seismic tests using a shaking table with an existing piping system to verify the vibration control capacity on the piping system by SCD. Test results prove that the SCD can effectively control the displacement vibration of the piping system up to 80%.

Nonlinear aerodynamic stability analysis of orthotropic membrane structures with large amplitude

  • Zheng, Zhoulian;Xu, Yunping;Liu, Changjiang;He, Xiaoting;Song, Weiju
    • Structural Engineering and Mechanics
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    • v.37 no.4
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    • pp.401-413
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    • 2011
  • The aerodynamic stability of orthotropic tensioned membrane structures with rectangular plane is theoretically studied under the uniform ideal potential flow. The aerodynamic force acting on the membrane surface is determined by the potential flow theory in fluid mechanics and the thin airfoil theory in aerodynamics. Then, based on the large amplitude theory and the D'Alembert's principle, the interaction governing equation of wind-structure is established. Under the circumstances of single mode response, the Bubnov-Galerkin approximate method is applied to transform the complicated interaction equation into a system of second order nonlinear differential equation with constant coefficients. Through judging the stability of the system characteristic equation, the critical divergence instability wind velocity is determined. Finally, from different parametric analysis, we can conclude that it has positive significance to consider the characteristics of orthotropic and large amplitude for preventing the instability destruction of structures.

Damper Configuration for Seismic Performance Improvement of Heavy Facilities with Frictional Sliding Behavior inside Building (마찰 슬라이딩 거동을 보이는 건물 내 중량 설비의 내진성능 향상을 위한 감쇠기 연결 방안)

  • Ok, Seung-Yong;Park, Kwan-Soon;Lee, Jeeho
    • Journal of the Korean Society of Safety
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    • v.35 no.1
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    • pp.53-61
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    • 2020
  • This study proposes a new damper configuration for seismic performance improvement of heavy sliding facilities inside a building. For this purpose, we deal with two connection types of control system, and the parametric study has been performed to investigate their comparative seismic performances according to the variations of the control capacity. In order to simulate the seismic responses of the proposed system, we employed a recently-developed seismic response analysis method that can deal with the two-mass system with nonlinear frictional sliding behavior. The numerical results demonstrate that the typical method of diagonal bracing damper connection can exhibit effective control performance both on structure and the heavy sliding facilities, whereas the structure-facilities connection method does not show any control effect on both responses. On the other hand, the typical method has some limitations that it can adversely cause excessive sliding of the facilities, depending upon the frequency characteristics of structure and earthquake. On the contrary, the structure-facilities connection method is very effective in reducing the sliding displacement of the heavy facilities, even with small amount of control capacity. Thus, the following potential expectations can be inferred from these results: The typical diagonal bracing damper connection method will have some promising benefits in controlling the sliding facilities inside the building as well as the building itself, and the structure-facilities connection method can be a cost-effective way of protecting the internal heavy important facilities inside the structure already designed with sufficient seismic performance.

An Observer Design for MIMO Nonlinear Systems and Its Application to Induction Motor (다입력 다출력 비선형 시스템의 관측기 설계 및 인덕션 모터에 응용)

  • Lee, Sung-Ryul
    • Journal of Institute of Control, Robotics and Systems
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    • v.14 no.1
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    • pp.42-48
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    • 2008
  • This paper presents an observer design method for a special class of multi input multi output(MIMO) nonlinear systems. First, we characterize the class of MIMO nonlinear systems with a block triangular structure. Also, the observability matrices for SISO nonlinear systems are extended to MIMO systems. By using the generalized observability matrices, it is shown that under the boundedness conditions of system state and input, the proposed observer guarantees the local exponential stability of error dynamics. Finally, its application to induction motor is given to verify the proposed method.

Combination resonances of imperfect SSFG cylindrical shells rested on viscoelastic foundations

  • Foroutan, Kamran;Ahmadi, Habib
    • Structural Engineering and Mechanics
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    • v.75 no.1
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    • pp.87-100
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    • 2020
  • The present paper investigates the combination resonance behavior of imperfect spiral stiffened functionally graded (SSFG) cylindrical shells with internal and external functionally graded stiffeners under two-term large amplitude excitations. The structure is embedded within a generalized nonlinear viscoelastic foundation, which is composed of a two-parameter Winkler-Pasternak foundation augmented by a Kelvin-Voigt viscoelastic model with a nonlinear cubic stiffness, to account for the vibration hardening/softening phenomena and damping considerations. With regard to classical plate theory of shells, von-Kármán equation and Hook law, the relations of stress-strain are derived for shell and stiffeners. The spiral stiffeners of the cylindrical shell are modeled according to the smeared stiffener technique. According to the Galerkin method, the discretized motion equation is obtained. The combination resonance is obtained by using the multiple scales method. Finally, the influences of the stiffeners angles, foundation type, the nonlinear elastic foundation coefficients, material distribution, and excitation amplitude on the system resonances are investigated comprehensively.