• Title/Summary/Keyword: static nonlinear

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Feedback Linearization Control of the Looper System in Hot Strip Mills

  • Hwang, I-Cheol;Kim, Seong-Bae
    • Journal of Mechanical Science and Technology
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    • v.17 no.11
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    • pp.1608-1615
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    • 2003
  • This paper studies on the linearization of a looper system in hot strip mills, that plays an important role in regulating a strip tension or a strip width. Nonlinear dynamic equations of the looper system are analytically linearized by a static feedback linearization algorithm with a compensator. The proposed linear model of the looper is validated by a comparison with a linear model using Taylor's series. It is shown that the linear model by static feedback well describes nonlinearities of the looper system than one using Taylor's series. Furthermore, it is shown from the design of an ILQ controller that the linear model by static feedback is very useful in designing a linear controller of the looper system.

Static and dynamic finite element analysis of honeycomb sandwich structures

  • Triplett, Matt H.;Schonberg, William P.
    • Structural Engineering and Mechanics
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    • v.6 no.1
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    • pp.95-113
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    • 1998
  • The extensive use of honeycomb sandwich structures has led to the need to understand and analyze their low velocity impact response. Commercially available finite element software provides a possible analysis tool for this type of problem, but the validity of their material properties models for honeycomb materials must be investigated. Three different problems that focus on the effect of differences in honeycomb material properties on static and dynamic response are presented and discussed. The first problem considered is a linear elastic static analysis of honeycomb sandwich beams. The second is a nonlinear elastic-plastic analysis of a circular honeycomb sandwich plate. The final problem is a dynamic analysis of circular honeycomb sandwich plates impacted by low velocity projectiles. Results are obtained using the ABAQUS final element code and compared against experimental results. The comparison indicates that currently available material properties models for honeycomb materials can be used to obtain a good approximation of the behavior of honeycomb sandwich structures under static and dynamic loading conditions.

Static Strength of Internally Ring-Stiffened Tubular T-Joints (내부 환보강 T형 관이음부의 정적강도)

  • CHO HYUN-MAN;RYU YEON-SUN
    • Journal of Ocean Engineering and Technology
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    • v.18 no.6 s.61
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    • pp.70-78
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    • 2004
  • In order to increase the load carrying capacity of tubular structures, the joints of tubular members are usually reinforced with various reinforcement system. A stiffening method with internal ring stiffeners is effectively used for the steel tubular joint with a large diameter. In this study, the behavior of internally ring-stiffened tubular T-joints subjected to axial loading is assessed. For the parametric study, nonlinear finite element analyses are used to compute the static strength on non-stiffened and ring-stiffened T-joints. Based on the numerical results, an internal ring stiffener is found to be efficient in improving the static strength. The influence of geometric parameters has been determined, and the reinforcement effect are evaluated. Based on the FE results, regression analises are performed considering the practical size of ring stiffener. Finally strength estimation formulas for ring-stiffened tubular T-joints are proposed.

A TRUST REGION METHOD FOR SOLVING THE DECENTRALIZED STATIC OUTPUT FEEDBACK DESIGN PROBLEM

  • MOSTAFA EL-SAYED M.E.
    • Journal of applied mathematics & informatics
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    • v.18 no.1_2
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    • pp.1-23
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    • 2005
  • The decentralized static output feedback design problem is considered. A constrained trust region method is developed that solves this optimal control problem when a complete set of state variables is not available. The considered problem is interpreted as a non-linear (non-convex) constrained matrix optimization problem. Then, a decentralized constrained trust region method is developed for this problem class exploiting the diagonal structure of the problem and using inexact computations. Finally, numerical results are given for the proposed method.

The Strength of Square Steel Tubular Column to H-beam Connections - Focused on the connections with outside-type diaphragm - (각형강관 기둥 - H형강 보의 접합부 내력 평가 - 외측형 다이아프램 접합부를 중심으로 -)

  • Lee, Seong Do;Kim, Pil Jung;Kim, Kyu Suk
    • Journal of Korean Society of Steel Construction
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    • v.16 no.1 s.68
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    • pp.11-20
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    • 2004
  • This paper focused on square steel tubular column to H-beam connections (concrete filled tubular) with an outside-type diaphragm. Based on the yield line theory and the nonlinear static FEM analysis the specification equations were evaluated by comparing them with previous result of the simplified tensile experiment[please check. The yield line theory applied to the mechanical model theory revised by K. Morita, the nonlinear static FEM analysis using abaqus/standard, the ultimate strength equation in the specification equation using the factor for long-time loading, and the yield ratio according to material. The allowable strength in the specification equations applied the safety factors of 2.2 and 2.6 in the cases with and without filled concrete, respectively. Therefore, the evaluation of strength(for the previous result of the simplified tensile experiment in this study) was considered possible through the yield line theory, the nonlinear static FEM analysis, and the specification equations. Likewise, the specification equations were seen to be an underestimate of the previous result of the simplified tensile experiment. The strength and displaced mesh in the FEM analysis approximated the previous result of the simplified tensile experiment.

Axial Load Capacity Prediction of Single Piles in Clay and Sand Layers Using Nonlinear Load Transfer Curves (비선형 하중전이법에 의한 점토 및 모래층에서 파일의 지지력 예측)

  • Kim, Hyeongjoo;Mission, Joseleo;Song, Youngsun;Ban, Jaehong;Baeg, Pilsoon
    • Journal of the Korean GEO-environmental Society
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    • v.9 no.5
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    • pp.45-52
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    • 2008
  • The present study has extended OpenSees, which is an open-source software framework DOS program for developing applications to idealize geotechnical and structural problems, for the static analysis of axial load capacity and settlement of single piles in MS Windows environment. The Windows version of OpenSees as improved by this study has enhanced the DOS version from a general purpose software program to a special purpose program for driven and bored pile analysis with additional features of pre-processing and post-processing and a user friendly graphical interface. The method used in the load capacity analysis is the numerical methods based on load transfer functions combined with finite elements. The use of empirical nonlinear T-z and Q-z load transfer curves to model soil-pile interaction in skin friction and end bearing, respectively, has been shown to capture the nonlinear soil-pile response under settlement due to load. Validation studies have shown the static load capacity and settlement predictions implemented in this study are in fair agreement with reference data from the static loading tests.

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Design of Lateral Load Resisting System using Nonlinear Static Analysis (비선형 정적해석을 통한 횡저항 시스템의 보유성능 평가 및 설계방안 연구)

  • Song, Jin-Gyu;Kim, Geon-Woo;Jung, Sung-Jin;Song, Young-Hoon;Lee, Seung-Chang
    • Journal of the Earthquake Engineering Society of Korea
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    • v.10 no.1 s.47
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    • pp.9-16
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    • 2006
  • The design practice of the lateral resisting system has been traditionally dependent on the experience and know-how of a structural engineer. And the method to reflect the evaluation results of building's capacity on design process doesn't exist. The proposal of a rational design of the lateral load resisting system is based on the available full capacity $(R_{ac})$ of a building and the minimum required capacity $(R_{code})$ suggested in the code. This study suggests thai nonlinear static analysis, which is the estimation of the lateral capacity with the pushover analysis, be included in the existing design procedure of the structure. After finishing the basic structural design, the lateral resisting capacity ol a building is estimated. At the phase of nonlinear static analysis, pushover analysis is peformed to define the fully yielded baseshear $(V_Y)$. When the design wind baseshear $(V_{wind})$ is bigger than the design seismic baseshear $(V_D)$, the value is checked to determine whether or not it is smaller than the $V_Y$. After confirming that it is smaller, the $R_{ac}$ of the structure is computed. If the $V_D$ is bigger at first, only the $R_{ac}$ is computed. When the value of the estimation shows remarkable differences with the $R_{code}$, repetition of the design modification is needed for those approximate to the $R_{code}$. Application of the proposed design procedure to 2-D steel braced RC buildings has proven to be efficient.

Nonlinear interaction and dynamic compensators

  • Ishijima, Shintaro;Kojima, Akira
    • 제어로봇시스템학회:학술대회논문집
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    • 1993.10b
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    • pp.558-561
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    • 1993
  • The main difference between a linear system and a nonlinear system is the existence of direct interactions between input signals. These interactions will be classified into three types, (1) self-interaction among different order terms of control signals, (2) static mutual interactions between the control signals, and (3) dynamic interactions through the coefficient venctor fields of the control variables. In this paper, we will show that interactions of type (2) and (3) can be avoided by applying an appropriate dynamic compensator, while the interaction of type (1) is fatal.

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Vibration Analysis of a Valve Model with Nonlinear Stiffness (비선형 강성을 고려한 밸브 모델의 진동 해석)

  • 이수일;주재만;김태식;박윤서
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 1998.04a
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    • pp.143-147
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    • 1998
  • In this study, nonlinear stiffness characteristics of a discharge valve in a small hermetic compressor was considered. It was approximated, with piecewise-linearity, and cubic or quintic nonlinearity by the static load-displacement experimental results. Based on the fluid-structure interaction effects and mass flow rate, the derived 1-DOF equation of motion for the valve model was analyzed. Finally, the dynamic response of the discharge valve was studied with parameters such as the ratio of the running frequency of the compressor to the linear natural frequency of the valve.

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Feedback Linearization for the Looper System of Hot Strip Mills

  • Hwang, I-Cheol;Kim, Seong-Bae
    • 제어로봇시스템학회:학술대회논문집
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    • 2002.10a
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    • pp.56.5-56
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    • 2002
  • This paper studies on the feedback linearization of the looper system for hot strip mills, where the looper system plays an important role in regulating the strip tension. Firstly, nonlinear dynamic equations of the looper system are simply introduced. Secondly, using the static feedback linearization algorithm, a linear model of the looper system is obtained, of which usefulness is validated from comparison between the linear model and the nonlinear model, and design of LQI(Linear Ouadratic Integral optimal control) and ILQ (Inverse Linear Quadratic optimal control) looper control systems. In result, it is shown that the linear looper model by the feedback linearization well describes nonlin...

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