• 제목/요약/키워드: stochastic linearization

검색결과 43건 처리시간 0.023초

Seismic vibration control of bridges with excessive isolator displacement

  • Roy, Bijan K.;Chakraborty, Subrata;Mishra, Sudib K.
    • Earthquakes and Structures
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    • 제10권6호
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    • pp.1451-1465
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    • 2016
  • The effectiveness of base isolation (BI) systems for mitigation of seismic vibration of bridges have been extensively studied in the past. It is well established in those studies that the performance of BI system is largely dependent on the characteristics of isolator yield strength. For optimum design of such systems, normally a standard nonlinear optimization problem is formulated to minimize the maximum response of the structure, referred as Stochastic Structural Optimization (SSO). The SSO of BI system is usually performed with reference to a problem of unconstrained optimization without imposing any restriction on the maximum isolator displacement. In this regard it is important to note that the isolator displacement should not be arbitrarily large to fulfil the serviceability requirements and to avoid the possibility of pounding to the adjacent units. The present study is intended to incorporate the effect of excessive isolator displacement in optimizing BI system to control seismic vibration effect of bridges. In doing so, the necessary stochastic response of the isolated bridge needs to be optimized is obtained in the framework of statistical linearization of the related nonlinear random vibration problem. A simply supported bridge is taken up to elucidate the effect of constraint condition on optimum design and overall performance of the isolated bridge compared to that of obtained by the conventional unconstrained optimization approach.

모델 변환법을 이용한 점핑 로봇 제어의 운동경로 생성에 관한 연구 (A Study on Motion Planning Generation of Jumping Robot Control Using Model Transformation Method)

  • 서진호;산북창의;이권순
    • 한국정밀공학회지
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    • 제21권4호
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    • pp.120-131
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    • 2004
  • In this paper, we propose the method of a motion planning generation in which the movement of the 3-link leg subsystem is constrained to a slider-link and a singular posture can be easily avoided. The proposed method is the jumping control moving in vertical direction which mimics a cat's behavior. That is, it is jumping toward wall and kicking it to get a higher-place. Considering the movement from the point of constraint mechanical system, the robotic system which realizes the motion changes its configuration according to the position and it has several phases such as; ⅰ) an one-leg phase, ⅱ) in an air-phase. In other words, the system is under nonholonomic constraint due to the reservation of its momentum. Especially, in an air-phase, we will use a control method using state transformation and linearization in order to control the landing posture. Also, an iterative learning control algorithm is applied in order to improve the robustness of the control. The simulation results for jumping control will illustrate the effectiveness of the proposed control method.

Analysis and Design of Jumping Robot System Using the Model Transformation Method

  • Suh Jin-Ho;Yamakita Masaki
    • Journal of Electrical Engineering and Technology
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    • 제1권2호
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    • pp.200-210
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    • 2006
  • This paper proposes the motion generation method in which the movement of the 3-links leg subsystem in constrained to slider-link and a singular posture can be easily avoided. This method is the realization of jumping control moving in a vertical direction, which mimics a cat's behavior. To consider the movement from the point of the constraint mechanical system, a robotics system for realizing the motion will change its configuration according to the position. The effectiveness of the proposed scheme is illustrated by simulation and experimental results.

중약진 지역에서의 지진격리교량의 비용효율성 평가 (Cost Effectiveness Evaluation of Seismic Isolated Bridges in Low and Moderate Seismic Region)

  • 고현무
    • 한국지진공학회:학술대회논문집
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    • 한국지진공학회 2000년도 추계 학술발표회 논문집 Proceedings of EESK Conference-Fall 2000
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    • pp.440-447
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    • 2000
  • In order to evaluate the cost effectiveness of seismic isolation for bridges in low and moderate seismic region, a method of calculation minimum life-cycle cost of seismic-isolated bridges under specific acceleration level and soil condition is developed. Input ground motion is modeled as spectral density function compatible with response spectrum for combination of acceleration coefficient and site coefficient. Failure probability is calculated by spectrum analysis based on random vibration theories to simplify repetitive calculations in the minimization procedure. Ductility of piers and its effects on cost effectiveness are considered by stochastic linearization method. Cost function and cost effectiveness index are defined by taking into consideration the characteristics of seismic isolated bridges. Limit states for calculation of failure probability are defined on superstructure, isolator and pier, respectively. The results of example design and analysis show that seismic isolation is more cost-effective in low and moderate seismic region than in high seismic region.

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얇은 적층 평판의 비선형 불규칙 진동해석 (Nonlinear Random Vibration Analysis of Thin Laminated Plates)

  • 강주원
    • 한국공간구조학회논문집
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    • 제1권1호
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    • pp.109-115
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    • 2001
  • Composite materials also known as fiber reinforced plastics have been developed and used in many engineering applications due to their outstanding mechanical properties. Laminated plates as structural components that are made of in composite material are widely used. Therefore, nonlinear response of laminated composite plates modeled with finite elements and excited by stochastic loading is studied. The classical laminated plate theory is used to account for the variation of strains through the thickness for modeling laminated thin plates. Approximate nonlinear random vibration analysis is performed using the method of equivalent linearization to account for material non-linearity.

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Reliability-based fragility analysis of nonlinear structures under the actions of random earthquake loads

  • Salimi, Mohammad-Rashid;Yazdani, Azad
    • Structural Engineering and Mechanics
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    • 제66권1호
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    • pp.75-84
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    • 2018
  • This study presents the reliability-based analysis of nonlinear structures using the analytical fragility curves excited by random earthquake loads. The stochastic method of ground motion simulation is combined with the random vibration theory to compute structural failure probability. The formulation of structural failure probability using random vibration theory, based on only the frequency information of the excitation, provides an important basis for structural analysis in places where there is a lack of sufficient recorded ground motions. The importance of frequency content of ground motions on probability of structural failure is studied for different levels of the nonlinear behavior of structures. The set of simulated ground motion for this study is based on the results of probabilistic seismic hazard analysis. It is demonstrated that the scenario events identified by the seismic risk differ from those obtained by the disaggregation of seismic hazard. The validity of the presented procedure is evaluated by Monte-Carlo simulation.

랜덤풍하중에 대한 현수교의 기하학적 비선형 거동의 동적해석 (Dynamic Analysis of Geometric Nonlinear Behavior of Suspension Bridges under Random Wind Loads)

  • 윤정방;현창헌;유제남
    • 대한토목학회논문집
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    • 제8권2호
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    • pp.185-196
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    • 1988
  • 랜덤풍하중을 받는 현수교의 비선형 동적거동 해석방법에 대해 연구하였다. 본 연구에서는 형의 거동과 주(主) 케이블 장력변화간의 상호작용에 기인하는 기하학적 비선형성을 고려하였다. 운동방정식은 연속계로 수식화하였고, 이때 수직 및 비틀림 운동의 상관관계를 포함시켰다. 동적해석은 모우드 중첩법을 사용하였으며, 이때의 모우드 방정식에 추계론적 선형화방법을 적용하여 주파수영역해석을 수행하였다. 선형화과정에서는, 풍속의 평균 및 변동성분의 영향을 함께 고려하기 위하여 비선형항을 선형항과 상수항의 합으로써 근사화하였다. 이 선형화방법에 대한 검증은 4자유도의 모우드 방정식에 대해 수행하였으며, 본 연구의 방법에 의한 결과가 타당함을 보였다. 예제해석은 두 개의 현수교를 택하여 여러 가지 풍속조건 및 공기역학적 하중계수에 대해 수행하였다. 수치해석 결과, 비선형항을 포함시켰을때 교량의 동적 거동은, 수직 거동의 경우 특히 크게 변화함을 알 수 있었다.

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Soil interaction effects on the performance of compliant liquid column damper for seismic vibration control of short period structures

  • Ghosh, Ratan Kumar;Ghosh, Aparna Dey
    • Structural Engineering and Mechanics
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    • 제28권1호
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    • pp.89-105
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    • 2008
  • The paper presents a study on the effects of soil-structure-interaction (SSI) on the performance of the compliant liquid column damper (CLCD) for the seismic vibration control of short period structures. The frequency-domain formulation for the input-output relation of a flexible-base structure with CLCD has been derived. The superstructure has been modeled as a linear, single degreeof-freedom (SDOF) system. The foundation has been considered to be attached to the underlying soil medium through linear springs and viscous dashpots, the properties of which have been represented by complex valued impedance functions. By using a standard equivalent linearization technique, the nonlinear orifice damping of the CLCD has been replaced by equivalent linear viscous damping. A numerical stochastic study has been carried out to study the functioning of the CLCD for varying degrees of SSI. Comparison of the damper performance when it is tuned to the fixed-base structural frequency and when tuned to the flexible-base structural frequency has been made. The effects of SSI on the optimal value of the orifice damping coefficient of the damper has also been studied. A more convenient approach for designing the damper while considering SSI, by using an established model of a replacement oscillator for the structure-soil system has also been presented. Finally, a simulation study, using a recorded accelerogram, has been carried out on the CLCD performance for the flexible-base structure.

확장 $H^{\infty}$ 필터를 이용한 표적 추적 시스템 설계 (Design of Target Tracking systems Using The extended $H^{\infty}$ Filter)

  • 이현석;나원상;진승희;윤태성;박진배
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1999년도 하계학술대회 논문집 B
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    • pp.649-652
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    • 1999
  • In this paper, the design method of target tracking systems using the extended $H^{\infty}$ filter(EHF) is proposed. Usually, a Cartesian coordinate frame is tell suited to describe the target dynamics. However, the measurements made in radar-centered polar coordinates are expressed as nonlinear equations in Cartesian coordinates. Thus the tacking problem is concerned with the nonlinear estimation. The extended $H^{\infty}$ filter is able to deal with the problems arising in the target tacking systems such as the parameter uncertainty included inevitably in modeling physical systems mathematically, the unavailableness of the stochastic information about exogenous disturbances, and errors due to the linearization of measurement equations. We show the proposed filter is robuster than the extended Kalman filter(EKF) through a simple target tracking example.

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등가 비선형화 법에 의한 선박 횡요의 확률론적 예측 (A Stochastic Prediction of Rolling of Ships Using Equivalent Non-linear Method)

  • 권순홍;정정환;김대웅
    • 대한조선학회논문집
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    • 제29권2호
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    • pp.60-65
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    • 1992
  • 불규칙 해상에서 횡파중 선체의 횡요 운동 응답을 threshold crossing 과정의 관점에서 연구하였다. 비 백색 잡음 기진력은 응답의 crossing 성질이 유지되는 크기의 백색 잡음 기진력으로 대치할 수 있다는 가정하에 등가의 백색 잡음 기 진력으로 모델링 하였고 원래의 비선형 감쇄 함수를 복원하였다. 등가의 백색 잡음 기진력을 가지고 복원된 운동방정식으로부터 결합 확률 밀도 함수를 얻기 위해 등가 비선형화법(equivalent non-linearization method)을 사용하였다. 제시된 방법을 각종 계수들의 값을 변화시키면서 예측하고 이를 다른 논문의 결과와 비교하였다.

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