• Title/Summary/Keyword: State Space Analysis

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State-space formulation for simultaneous identification of both damage and input force from response sensitivity

  • Lu, Z.R.;Huang, M.;Liu, J.K.
    • Smart Structures and Systems
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    • v.8 no.2
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    • pp.157-172
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    • 2011
  • A new method for both local damage(s) identification and input excitation force identification of beam structures is presented using the dynamic response sensitivity-based finite element model updating method. The state-space approach is used to calculate both the structural dynamic responses and the responses sensitivities with respect to structural physical parameters such as elemental flexural rigidity and with respect to the force parameters as well. The sensitivities of displacement and acceleration responses with respect to structural physical parameters are calculated in time domain and compared to those by using Newmark method in the forward analysis. In the inverse analysis, both the input excitation force and the local damage are identified from only several acceleration measurements. Local damages and the input excitation force are identified in a gradient-based model updating method based on dynamic response sensitivity. Both computation simulations and the laboratory work illustrate the effectiveness and robustness of the proposed method.

Pretension process control based on cable force observation values for prestressed space grid structures

  • Zhou, Zhen;Meng, Shao-Ping;Wu, Jing
    • Structural Engineering and Mechanics
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    • v.34 no.6
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    • pp.739-753
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    • 2010
  • Pointing to the design requirement of prestressed space grid structure being the target cable force, the pretension scheme decision analysis method is studied when there's great difference between structural actual state and the analytical model. Based on recursive formulation of cable forces, the simulative recursive system for pretension process is established from the systematic viewpoint, including four kinds of parameters, i.e., system initial value (structural initial state), system input value (tensioning control force scheme), system state parameters (influence matrix of cable forces), system output value (pretension accomplishment). The system controllability depends on the system state parameters. Based on cable force observation values, the influence matrix for system state parameters can be calculated, making the system controllable. Next, the pretension scheme decision method based on cable force observation values can be formed on the basis of iterative calculation for recursive system. In this way, the tensioning control force scheme that can meet the design requirement when next cyclic supplemental tension finished is obtained. Engineering example analysis results show that the proposed method in this paper can reduce a lot of cyclic tensioning work and meanwhile the design requirement can be met.

Hierarchical Analysis of Astronomical Space Concepts Based on the Knowledge Space Theory (지식공간론에 기초한 천문학적 공간개념의 위계 분석)

  • Yoon, Ma-Byong;Kim, Hee-Soo
    • Journal of the Korean earth science society
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    • v.31 no.3
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    • pp.259-266
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    • 2010
  • High school students' understanding hierarchy of astronomical concepts and an individual student's knowledge state are analyzed by using the knowledge space theory that allows one to infer an individual's entire knowledge on a subject based on fragmentary information coming from that student's answers. The hierarchy of astronomical space concepts is: spatial position$\ll$spatial reasoning$\ll$spatial variation. In addition, an analysis of assessment materials using the knowledge space theory shows not only the relationship of assessment questions but also the knowledge state of individual students, which the current evaluation method is not able to reveal. Therefore, the assessment analysis of this study using the knowledge space theory becomes critically instrumental in providing information of an instructional differentiation amenable to individual learners for deciding their level of understanding and selecting suitable curriculum.

Design and heat transfer optimization of a 1 kW free-piston stirling engine for space reactor power system

  • Dai, Zhiwen;Wang, Chenglong;Zhang, Dalin;Tian, Wenxi;Qiu, Suizheng;Su, G.H.
    • Nuclear Engineering and Technology
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    • v.53 no.7
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    • pp.2184-2194
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    • 2021
  • The Free-Piston Stirling engine (FPSE) is of interest for many research in aerospace due to its advantages of long operating life, higher efficiency, and zero maintenance. In this study, a 1-kW FPSE was proposed by analyzing the requirements of Space Reactor Power Systems (SRPS), of which performance was evaluated by developing a code through the Simple Analysis Method. The results of SAM showed that the critical parameters of FPSE could satisfy the designed requirements. The heater of the FPSE was designed with the copper rectangular fins to enhance heat transfer, and the parametric study of the heater was performed with Computational Fluid Dynamics (CFD) software STAR-CCM+. The Performance Evaluation Criteria (PEC) was used to evaluate the heat transfer enhancement of the fins in the heater. The numerical results of the CFD program showed that pressure drop and Nusselt number ratio had a linear growth with the height of fins, and PEC number decreased as the height of fins increased, and the optimum height of the fin was set as 4 mm according to the minimum heat exchange surface area. This paper can provide theoretical supports for the design and numerical analysis of an FPSE for SRPSs.

A hierarchical approach to state estimation of time-varying linear systems via block pulse function (블럭펄스함수를 이용한 시스템 상태추정의 계층별접근에 관한 연구)

  • 안두수;안비오;임윤식;이재춘
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.45 no.3
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    • pp.399-406
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    • 1996
  • This paper presents a method of hierarchical state estimation of the time-varying linear systems via Block-pulse function(BPF). When we estimate the state of the systems where noise is considered, it is very difficult to obtain the solutions because minimum error variance matrix having a form of matrix nonlinear differential equations is included in the filter gain calculation. Therefore, hierarchical approach is adapted to transpose matrix nonlinear differential equations to a sum of low order state space equation from and Block-pulse functions are used for solving each low order state space equation in the form of simple and recursive algebraic equation. We believe that presented methods are very attractive nd proper for state estimation of time-varying linear systems on account of its simplicity and computational convenience. (author). 13 refs., 10 figs.

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Eigenvalue Analysis of Power Systems with Non-Continuous Operating Elements by the RCF Method : Modeling of the State Transition Equations (불연속 동작특성을 갖는 전력계통의 RCF법을 사용한 고유치 해석 : 상태천이 방정식으로의 모델링)

  • Kim Deok Young
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.54 no.2
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    • pp.67-72
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    • 2005
  • In conventional small signal stability analysis, system is assumed to be invariant and the state space equations are used to calculate the eigenvalues of state matrix. However, when a system contains switching elements such as FACTS devices, it becomes non-continuous system. In this case, a mathematically rigorous approach to system small signal stability analysis is by means of eigenvalue analysis of the system periodic transition matrix based on discrete system analysis method. In this paper, RCF(Resistive Companion Form) method is used to analyse small signal stability of a non-continuous system including switching elements. Applying the RCF method to the differential and integral equations of power system, generator, controllers and FACTS devices including switching elements should be modeled in the form of state transition equations. From this state transition matrix eigenvalues which are mapped to unit circle can be calculated.

Real Time Estimation in 1-Dimensional Temperature Distribution Using Modal Analysis and Observer (모드해석과 관측기를 이용한 1차원 온도분포의 실시간 예측)

  • An, Jung-Yong;Park, Yeong-Min;Jeong, Seong-Jong
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.25 no.2
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    • pp.195-201
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    • 2001
  • An inverse heat conduction problem(IHCP) arises when unknown heat fluxes and whole temperature field are to be found with temperature measurements of a few points. In this paper, observers are proposed as solution algorithm for the IHCP. A 1-dimensional heat transfer problem is modeled with modal analysis and state space equations. Position of the heat source is estimated through test heat inputs and the autocorrelation among a few of temperature data. The modified Bass-Gura method is used to design a state observer to estimate the intensity of heat source and the whole temperature field of a 1-dimensional body. To verify the reliability of this estimator, analytic solutions obtained from the proposed method are compared.

Real-time estimation of Temperature Distribution of a Ball Screw System Using Modal Analysis and Observer (모드해석과 관측기에 의한 볼스크류 온도분포의 실시간 예측)

  • 김태훈
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 2000.04a
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    • pp.635-640
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    • 2000
  • Thermal deformation of machine tools can be evaluated from the analysis of the whole temperature field. However, it is extremely inefficient and impossible to acquire the whole temperature field by measuring temperatures of every point. So, a temperature estimator, which can estimate the whole temperature field from the temperatures of just a few points, is required. In this paper, 1-dimensional heat transfer problem is modeled with modal analysis and state space equations. and then state observer is designed to estimate the intensity of heat source and the whole temperature field in real-time. The reliability of this estimator is verified by making a comparison between solutions by the proposed method and the exact solutions of examples. The proposed method is applied to the estimation of temperature distribution in a ball screw system.

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A Study on the Heat transfer in Residential Space Wall having Solar Radiation (태양복사열이 투사되는 주거공간 벽면의 열전달에 관한연구)

  • 고영렬;손철수
    • Journal of the Korean housing association
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    • v.15 no.3
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    • pp.93-99
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    • 2004
  • This study was conducted to estimate the solar energy, as an alternative energy evaluating an effect of solar radiation on indoor space of residential building. The basic data of solar radiation which is useful for architectural design was suggested using theoretical and experimental analysis. Accordingly, this study was carried out measuring the solar energy using Explicit Method. These results were compared with the results using steady state heat transfer method. The results of this study are summarized as follows; Based on the results using Explicit Method and steady state heat transfer on the indoor space of building, it was shown that an analysis on heat transfer using Explicit Method is more sensitive to the outdoor environmental changes. The results using Explicit Method to analysis and evaluate the solar radiation should be used for residential building design.

The Forecasting of Monthly Runoff using Stocastic Simulation Technique (추계학적 모의발생기법을 이용한 월 유출 예측)

  • An, Sang-Jin;Lee, Jae-Gyeong
    • Journal of Korea Water Resources Association
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    • v.33 no.2
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    • pp.159-167
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    • 2000
  • The purpose of this study is to estimate the stochastic monthly runoff model for the Kunwi south station of Wi-stream basin in Nakdong river system. This model was based on the theory of Box-Jenkins multiplicative ARlMA and the state-space model to simulate changes of monthly runoff. The forecasting monthly runoff from the pair of estimated effective rainfall and observed value of runoff in the uniform interval was given less standard error then the analysis only by runoff, so this study was more rational forecasting by the use of effective rainfall and runoff. This paper analyzed the records of monthly runoff and effective rainfall, and applied the multiplicative ARlMA model and state-space model. For the P value of V AR(P) model to establish state-space theory, it used Ale value by lag time and VARMA model were established that it was findings to the constituent unit of state-space model using canonical correction coefficients. Therefore this paper confirms that state space model is very significant related with optimization factors of VARMA model.

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