• 제목/요약/키워드: ARX modeling

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Metamodeling of nonlinear structural systems with parametric uncertainty subject to stochastic dynamic excitation

  • Spiridonakos, Minas D.;Chatzia, Eleni N.
    • Earthquakes and Structures
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    • 제8권4호
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    • pp.915-934
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    • 2015
  • Within the context of Structural Health Monitoring (SHM), it is often the case that structural systems are described by uncertainty, both with respect to their parameters and the characteristics of the input loads. For the purposes of system identification, efficient modeling procedures are of the essence for a fast and reliable computation of structural response while taking these uncertainties into account. In this work, a reduced order metamodeling framework is introduced for the challenging case of nonlinear structural systems subjected to earthquake excitation. The introduced metamodeling method is based on Nonlinear AutoRegressive models with eXogenous input (NARX), able to describe nonlinear dynamics, which are moreover characterized by random parameters utilized for the description of the uncertainty propagation. These random parameters, which include characteristics of the input excitation, are expanded onto a suitably defined finite-dimensional Polynomial Chaos (PC) basis and thus the resulting representation is fully described through a small number of deterministic coefficients of projection. The effectiveness of the proposed PC-NARX method is illustrated through its implementation on the metamodeling of a five-storey shear frame model paradigm for response in the region of plasticity, i.e., outside the commonly addressed linear elastic region. The added contribution of the introduced scheme is the ability of the proposed methodology to incorporate uncertainty into the simulation. The results demonstrate the efficiency of the proposed methodology for accurate prediction and simulation of the numerical model dynamics with a vast reduction of the required computational toll.

Statistics based localized damage detection using vibration response

  • Dorvash, Siavash;Pakzad, Shamim N.;LaCrosse, Elizabeth L.
    • Smart Structures and Systems
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    • 제14권2호
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    • pp.85-104
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    • 2014
  • Damage detection is a challenging, complex, and at the same time very important research topic in civil engineering. Identifying the location and severity of damage in a structure, as well as the global effects of local damage on the performance of the structure are fundamental elements of damage detection algorithms. Local damage detection is essential for structural health monitoring since local damages can propagate and become detrimental to the functionality of the entire structure. Existing studies present several methods which utilize sensor data, and track global changes in the structure. The challenging issue for these methods is to be sensitive enough in identifYing local damage. Autoregressive models with exogenous terms (ARX) are a popular class of modeling approaches which are the basis for a large group of local damage detection algorithms. This study presents an algorithm, called Influence-based Damage Detection Algorithm (IDDA), which is developed for identification of local damage based on regression of the vibration responses. The formulation of the algorithm and the post-processing statistical framework is presented and its performance is validated through implementation on an experimental beam-column connection which is instrumented by dense-clustered wired and wireless sensor networks. While implementing the algorithm, two different sensor networks with different sensing qualities are utilized and the results are compared. Based on the comparison of the results, the effect of sensor noise on the performance of the proposed algorithm is observed and discussed in this paper.

Development of Dam Inflow Simulation Method Based on Bayesian Autoregressive Exogenous Stochastic Volatility (ARXSV) model

  • 파멜라 파비안;김호준;김기철;권현한
    • 한국수자원학회:학술대회논문집
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    • 한국수자원학회 2022년도 학술발표회
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    • pp.437-437
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    • 2022
  • The prediction of dam inflow rate is crucial for the management of the largest multi-purpose dam in South Korea, the Soyang Dam. The main issue associated with the management of water resources is the stochastic nature of the reservoir inflow leading to an increase in uncertainty associated with the inflow prediction. The Autoregressive (AR) model is commonly used to provide the simulation and forecast of hydrometeorological data. However, because its estimation is based solely on the time-series data, it has the disadvantage of being unable to account for external variables such as climate information. This study proposes the use of the Autoregressive Exogenous Stochastic Volatility (ARXSV) model within a Bayesian modeling framework for increased predictability of the monthly dam inflow by addressing the exogenous and stochastic factors. This study analyzes 45 years of hydrological input data of the Soyang Dam from the year 1974 to 2019. The result of this study will be beneficial to strengthen the potential use of data-driven models for accurate inflow predictions and better reservoir management.

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적재설비 안정성 확보를 위한 FE 해석 기반의 연결부 모델 개발 (Development of Connection Model based on FE Analysis to Ensure Stability of Steel Storage Racks)

  • 허광희;김충길;유달리;전종수;이진옥
    • 대한토목학회논문집
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    • 제38권2호
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    • pp.349-356
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    • 2018
  • 본 논문은 국내에서 연구가 미진한 적재설비의 지진 취약도 평가에 적용할 수 있는 FE 해석 기반의 연결부 모델을 개발하는데 목적이 있다. 이러한 목표를 달성하기 위하여, 적재설비 거동을 파악하기 위한 진동대 실험과 Modal Test, 그리고 구성 부재를 대상으로 한 다양한 부재실험(8가지 Push-over Test)을 진행하였다. 실험결과를 바탕으로 지진취약도 평가에 적용하기 위한 적재설비의 연결부 모델을 개발하기 위하여, NX-Nastran 프로그램을 활용하여 연결부의 상세 모델링을 진행하였다. 특히, 단순 걸쇠 방식으로 연결되는 기둥 부재와 보 부재의 연결을 모사하기 위하여 면대면 표면접촉 요소와 스프링 요소를 적용하였으며, 스프링 요소의 모델은 ARX (Auto Regressive eXogenous) 기반의 수학적 모델을 개발하여 적용하였다. FE 모델 기반의 simulation 결과는 부재 실험 결과와 비교하였을 때, 상호 오차율 8% 미만의 우수한 신뢰도를 보여주었다. 결과적으로 연구에서 개발한 FE해석 기반의 연결부 모델은 적재설비의 지진 취약도 평가를 위한 해석 모델에 활용될 수 있음을 확인하였다.

Elasto-plastic time history analysis of an asymmetrical twin-tower rigid-connected structure

  • Wu, Xiaohan;Sun, Yanfei;Rui, Mingzhuo;Yan, Min;Li, Lishu;Liu, Dongze
    • Computers and Concrete
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    • 제12권2호
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    • pp.211-228
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    • 2013
  • The structure analyzed in this paper has particular building style and special structural system. It is a rigid-connected twin-tower skyscraper with asymmetrical distribution of stiffness and masses in two towers. Because of the different stiffness between the north and the south towers, the torsion seismic vibration is significant. In this paper, in order to study the seismic response of the structure under both frequent low-intensity earthquakes as well as rare earthquakes at the levels of intensity 7, the analysis model is built and analyzed with NosaCAD. NosaCAD is an nonlinear structure analysis software based on second-development of AutoCAD with ObjectARX. It has convenient modeling function, high computational efficiency and diversity post-processing functions. The deformations, forces and damages of the structure are investigated based on the analysis. According to the analysis, there is no damage on the structure under frequent earthquakes, and the structure has sufficient capacity and ductility to resist rare earthquakes. Therefore the structure can reach the goal of no damage under frequent earthquakes and no collapse under rare earthquakes. The deformation of the structure is below the limit in Chinese code. The time sequence and distribution of damages on tubes are reasonable, which can dissipate some dynamic energy. At last, according to forces, load-carrying capacity and damage of elements, there are some suggestions on increasing the reinforcement in the core tube at base and in stiffened stories.