• 제목/요약/키워드: stochastic dynamic system

검색결과 210건 처리시간 0.025초

쉘 구조물의 확률적 동적 민감도 해석에 관한 연구 (A Study on the Stochastic Sensitivity Analysis in Dynamics of Shell Structure)

  • 배동명;이창훈
    • 수산해양기술연구
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    • 제34권3호
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    • pp.328-338
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    • 1998
  • It is main objective of this approach to present a method to analyse stochastic design sensitivity for problems of structural dynamics with randomness in design parameters. A combination of the adjoint variable approach and the second oder perturbation method is used in the finite element approach. An alternative form of the constant functional that holds for all times is introduced to consider the time response of dynamic sensitivity. The terminal problem of the adjoint system is solved using equivalent homogeneous equations excited by initial velocities. The numerical procedures are shown to be much more efficient when based on the fold superposition method : the generalized co-ordinates are normalized and the correlated random variables are transformed to uncorrelated variables, where as the secularities are eliminated by the fast Fourier transform of complex valued sequences. Numerical algorithms have been worked out and proved to be accurate and efficient : they codes whose element derivative matrices can be explicitly generated. The numerical results of two cases - 2-dimensional portal frame and 3/4-cylindrical shell structure - for the deterministic and stochastic sensitivity analysis illustrates in this paper.

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프레임 구조물의 확률론적 동적 민감도 해석에 관한 연구 (A Study on the Stochastic Sensitivity Analysis in Dynamics of Frame Structure)

  • 부경대학교
    • 수산해양기술연구
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    • 제35권4호
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    • pp.435-447
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    • 1999
  • It is main objective of this approach to present a method to analyse stochastic design sensitivity for problems of structural dynamics with randomness in design parameters. A combination of the adjoint variable approach and the second order perturbation method is used in the finite element approach. An alternative form of the constant functional that holds for all times is introduced to consider the time response of dynamic sensitivity. The terminal problem of the adjoint system is solved using equivalent homogeneous equations excited by initial velocities. The numerical procedures are shown to be much more efficient when based on the fold superposition method: the generalized co-ordinates are normalized and the correlated random variables are transformed to uncorrelated variables, whereas the secularities are eliminated by the fast Fourier transform of complex valued sequences. Numerical algorithms have been worked out and proved to be accurate and efficient : they can be readily adapted to fit into the existing finite element codes whose element derivative matrices can be explicitly generated. The numerical results of two cases -2 dimensional portal frame for the comparison with reference and 3-dimensional frame structure - for the deterministic sensitivity analysis are presented.

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Analysis Task Scheduling Models based on Hierarchical Timed Marked Graph

  • Ro, Cheul-Woo;Cao, Yang
    • International Journal of Contents
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    • 제6권3호
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    • pp.19-24
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    • 2010
  • Task scheduling is an integrated component of computing with the emergence of grid computing. In this paper, we address two different task scheduling models, which are static Round-Robin (RR) and dynamic Fastest Site First (FSF) task scheduling method, using extended timed marked graphs, which is a special case of Stochastic Petri Nets (SPN). Stochastic reward nets (SRN) is an extension of SPN and provides compact modeling facilities for system analysis. We build hierarchical SRN models to compare two task scheduling methods. The upper level model simulates task scheduling and the lower level model implements task serving process for different sites with multiple servers. We compare these two models and analyze their performances by giving reward measures in SRN.

COMPLEX STOCHASTIC WHEELBASE PREVIEW CONTROL AND SIMULATION OF A SEMI-ACTIVE MOTORCYCLE SUSPENSION BASED ON HIERARCHICAL MODELING METHOD

  • Wu, L.;Chen, H.L.
    • International Journal of Automotive Technology
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    • 제7권6호
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    • pp.749-756
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    • 2006
  • This paper presents a complex stochastic wheelbase preview control method of a motorcycle suspension based on hierarchical modeling method. As usual, a vehicle suspension system is controlled as a whole body. In this method, a motorcycle suspension with five Degrees of Freedom(DOF) is dealt with two local independent 2-DOF suspensions according to the hierarchical modeling method. The central dynamic equations that harmonize local relations are deduced. The vertical and pitch accelerations of the suspension center are treated as center control objects, and two local semi-active control forces can be obtained. In example, a real time Linear Quadratic Gaussian(LQG) algorithm is adopted for the front suspension and the combination of the wheelbase preview and LQG control method is designed for the rear suspension. The results of simulation show that the control strategy has less calculating time and is convenient to adopt different control strategies for front and rear suspensions. The method proposed in this paper provides a new way for the vibration control of multi-wheel vehicles.

A Finite Memory Filter for Discrete-Time Stochastic Linear Delay Systems

  • Song, Il Young;Song, Jin Mo;Jeong, Woong Ji;Gong, Myoung Sool
    • 센서학회지
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    • 제28권4호
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    • pp.216-220
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    • 2019
  • In this paper, we propose a finite memory filter (estimator) for discrete-time stochastic linear systems with delays in state and measurement. A novel filtering algorithm is designed based on finite memory strategies, to achieve high estimation accuracy and stability under parametric uncertainties. The new finite memory filter uses a set of recent observations with appropriately chosen initial horizon conditions. The key contribution is the derivation of Lyapunov-like equations for finite memory mean and covariance of system state with an arbitrary number of time delays. A numerical example demonstrates that the proposed algorithm is more robust and accurate than the Kalman filter against dynamic model uncertainties.

Dynamic and Stochastic Modeling of Litten´s space Inertial Reference Unit(SIRU)

  • Park, H.T.;K.Y Yong;B.S. Suk
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2001년도 ICCAS
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    • pp.167.4-167
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    • 2001
  • Accurate mathematical models of spacecraft components are an essential of spacecraft attitude control system design, analysis and simulation. Gyro is one of the most important spacecraft components used for attitude propagation and control. Gyro errors may seriously degrade the accuracy of the calculated spacecraft angular rate and of attitude estimates due to inherent drift and bias errors. In this paper, a detailed mathematical model of gyro containing the relationships for predicting spacecraft angular rate and disturbances is proposed. Stochastic model describing random drift behavior is discussed in frequency domain and time domain. In order to illustrate this approach, we analyze the behavior for Litton´s Space Inertial Reference Uint(SIRU).

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Modal testing and finite element model calibration of an arch type steel footbridge

  • Bayraktar, Alemdar;Altunisk, Ahmet Can;Sevim, Baris;Turker, Temel
    • Steel and Composite Structures
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    • 제7권6호
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    • pp.487-502
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    • 2007
  • In recent decades there has been a trend towards improved mechanical characteristics of materials used in footbridge construction. It has enabled engineers to design lighter, slender and more aesthetic structures. As a result of these construction trends, many footbridges have become more susceptible to vibrations when subjected to dynamic loads. In addition to this, some inherit modelling uncertainties related to a lack of information on the as-built structure, such as boundary conditions, material properties, and the effects of non-structural elements make difficult to evaluate modal properties of footbridges, analytically. For these purposes, modal testing of footbridges is used to rectify these problems after construction. This paper describes an arch type steel footbridge, its analytical modelling, modal testing and finite element model calibration. A modern steel footbridge which has arch type structural system and located on the Karadeniz coast road in Trabzon, Turkey is selected as an application. An analytical modal analysis is performed on the developed 3D finite element model of footbridge to provide the analytical frequencies and mode shapes. The field ambient vibration tests on the footbridge deck under natural excitation such as human walking and traffic loads are conducted. The output-only modal parameter identification is carried out by using the peak picking of the average normalized power spectral densities in the frequency domain and stochastic subspace identification in the time domain, and dynamic characteristics such as natural frequencies mode shapes and damping ratios are determined. The finite element model of footbridge is calibrated to minimize the differences between analytically and experimentally estimated modal properties by changing some uncertain modelling parameters such as material properties. At the end of the study, maximum differences in the natural frequencies are reduced from 22% to only %5 and good agreement is found between analytical and experimental dynamic characteristics such as natural frequencies, mode shapes by model calibration.

주행문제를 위한 최신 근사적 동적계획법의 적용 (Application of Recent Approximate Dynamic Programming Methods for Navigation Problems)

  • 민대홍;정근우;권기영;박주영
    • 한국지능시스템학회논문지
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    • 제21권6호
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    • pp.737-742
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    • 2011
  • 주행문제는 불확실한 외란의 영향을 받는 이동로봇 등의 시스템에 대하여 각종 제약조건들을 만족하도록 하는 제어 입력을 결정하는 과제를 포함한다. 이러한 과제는 제약조건을 갖는 확률 제어 문제로 모델링될 수 있다. 이러한 종류의 제어문제를 풀기 위하여, 최적 가치함수 개념에 의존하는 동적 계획법의 활용을 시도해볼 수 있다. 하지만, 대부분의 실제 문제에서 이러한 시도는 많은 어려움, 예컨대, 시스템의 완벽한 모델이 알려지지 않거나, 최적 제어정책을 구하기 위한 계산이 불가능하거나, 수없이 많은 계산 자원을 필요로 하는 등의 문제점을 안겨줄 수 있다. 이러한 동적 계획법의 어려움을 극복하기 위한 전략으로, 근사적 가치함수에 의존하여 준최적 제어정책을 구하는 근사적 동적 계획법을 사용할 수 있다. 본 논문에서는 최근에 제시된 근사 동적 계획법들을 복잡한 제약조건을 갖는 주행 문제에 적용하여 보고 그 결과로 얻어지는 성능 특성을 관찰해 본다.

로켓 연소기의 동압 진폭엔벨롭을 이용한 안정성 해석 (Stability Analysis Using the Amplitude Envelope of Dynamic Pressure in the Rocket Combustor)

  • 이수용
    • 한국추진공학회지
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    • 제25권1호
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    • pp.42-49
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    • 2021
  • 얼마나 쉽게 연소불안정 해지는지에 대한 척도로서, 작동 안정성 여유를 예측하기 위해 로켓연소기시스템의 열음향 불안정을 검토하였다. 연소기 시스템의 동적거동 특성파악을 위해 연소성능시험 중 측정한 연소기의 동압 데이터를 바탕으로 시간이 지남에 따라 시스템이 안정해지는지를 결정하는 파라미터로서 성장속도 계수를 구하였다. 파라미터 추출은 시계열 압력데이터를 주파수 도메인으로 전환하여 관심모드의 성장속도나 감쇠계수를 도출하는 방법을 우선 검토하였으며, 스토캐스틱 해석의 경우에는 압력진동의 진폭 엔벨롭으로 부터 압력진폭 PDF를 추출했다.

Non-periodic motions and fractals of a circular arch under follower forces with small disturbances

  • Fukuchi, Nobuyoshi;Tanaka, Takashi
    • Steel and Composite Structures
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    • 제6권2호
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    • pp.87-101
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    • 2006
  • The deformation and dynamic behavior mechanism of submerged shell-like lattice structures with membranes are in principle of a non-conservative nature as circulatory system under hydrostatic pressure and disturbance forces of various types, existing in a marine environment. This paper deals with a characteristic analysis on quasi-periodic and chaotic behavior of a circular arch under follower forces with small disturbances. The stability region chart of the disturbed equilibrium in an excitation field was calculated numerically. Then, the periodic and chaotic behaviors of a circular arch were investigated by executing the time histories of motion, power spectrum, phase plane portraits and the Poincare section. According to the results of these studies, the state of a dynamic aspect scenario of a circular arch could be shifted from one of quasi-oscillatory motion to one of chaotic motion. Moreover, the correlation dimension of fractal dynamics was calculated corresponding to stochastic behaviors of a circular arch. This research indicates the possibility of making use of the correlation dimension as a stability index.