• 제목/요약/키워드: Nonlinear least squares

검색결과 228건 처리시간 0.028초

유량함수 비선형 파랑이론의 수치모형 비교 (Comparison of Numerical Models for Nonlinear Stream Function Wave Theory)

  • 서승남
    • 한국해안해양공학회지
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    • 제6권4호
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    • pp.353-363
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    • 1994
  • 유량함수 비선형 파랑이론에 입각한 수치모형들의 공학응용성에 대한 판단의 기준을 정하기 위해 수정된 Dean 표(Chaplin, 1980)의 입력제원을 사용하여 collocation 모형과 최소자승법 모형의 결과를 직접 비교하였다. 파장이 긴 천해파와 쇄파에 가까운 파랑을 제외한 모든 경우에 두 모형은 정밀하고 거의 동일한 결과를 보였다. 전반적인 비교를 통해 최소자승법 모형이 공학응용에 적합한 것으로 판단된다.

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Identification of plastic deformations and parameters of nonlinear single-bay frames

  • Au, Francis T.K.;Yan, Z.H.
    • Smart Structures and Systems
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    • 제22권3호
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    • pp.315-326
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    • 2018
  • This paper presents a novel time-domain method for the identification of plastic rotations and stiffness parameters of single-bay frames with nonlinear plastic hinges. Each plastic hinge is modelled as a pseudo-semi-rigid connection with nonlinear hysteretic moment-curvature characteristics at an element end. Through the comparison of the identified end rotations of members that are connected together, the plastic rotation that furnishes information of the locations and plasticity degrees of plastic hinges can be identified. The force consideration of the frame members may be used to relate the stiffness parameters to the elastic rotations and the excitation. The damped-least-squares method and damped-and-weighted-least-squares method are adopted to estimate the stiffness parameters of frames. A noise-removal strategy employing a de-noising technique based on wavelet packets with a smoothing process is used to filter out the noise for the parameter estimation. The numerical examples show that the proposed method can identify the plastic rotations and the stiffness parameters using measurements with reasonable level of noise. The unknown excitation can also be estimated with acceptable accuracy. The advantages and disadvantages of both parameter estimation methods are discussed.

Nonlinear boundary parameter identification of bridges based on temperature-induced strains

  • Wang, Zuo-Cai;Zha, Guo-Peng;Ren, Wei-Xin;Hu, Ke;Yang, Hao
    • Structural Engineering and Mechanics
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    • 제68권5호
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    • pp.563-573
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    • 2018
  • Temperature-induced responses, such as strains and displacements, are related to the boundary conditions. Therefore, it is required to determine the boundary conditions to establish a reliable bridge model for temperature-induced responses analysis. Particularly, bridge bearings usually present nonlinear behavior with an increase in load, and the nonlinear boundary conditions cause significant effect on temperature-induced responses. In this paper, the bridge nonlinear boundary conditions were simulated as bilinear translational or rotational springs, and the boundary parameters of the bilinear springs were identified based on the measured temperature-induced responses. First of all, the temperature-induced responses of a simply support beam with nonlinear translational and rotational springs subjected to various temperature loads were analyzed. The simulated temperature-induced strains and displacements were assumed as measured data. To identify the nonlinear translational and rotational boundary parameters of the bridge, the objective function based on the temperature-induced responses is then created, and the nonlinear boundary parameters were further identified by using the nonlinear least squares optimization algorithm. Then, a beam structure with nonlinear translational and rotational springs was simulated as a numerical example, and the nonlinear boundary parameters were identified based on the proposed method. The numerical results show that the proposed method can effectively identify the parameters of the nonlinear boundary conditions. Finally, the boundary parameters of a real arch bridge were identified based on the measured strain data and the proposed method. Since the bearings of the real bridge do not perform nonlinear behavior, only the linear boundary parameters of the bridge model were identified. Based on the bridge model and the identified boundary conditions, the temperature-induced strains were recalculated to compare with the measured strain data. The recalculated temperature-induced strains are in a good agreement with the real measured data.

이동최소자승법을 이용한 신뢰성 최적설계 (Reliability Based Design Optimization using Moving Least Squares)

  • 박장원;이오영;임종빈;이수용;박정선
    • 한국항공우주학회지
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    • 제36권5호
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    • pp.438-447
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    • 2008
  • 본 논문에서는 이동최소자승법을 이용한 근사모델을 사용하여 신뢰성 최적설계를 수행하였다. 신뢰성 최적설계의 수행을 위한 반응표면 생성에는 RSM 과 Kriging이 사용될 수 있다. RSM은 계산시간은 빠르나 비선형성이 강한 문제에 약하며 Kriging은 비선형성이 강한 문제에 적용할 수 있으나 계산시간이 오래 걸리는 단점이 있다. 이 두 방법을 보완한 방법인 이동최소자승법(MLSM)을 이용하여 신뢰성 최적설계를 위한 반응표면을 생성하였다. 이동최소자승법을 이용한 신뢰성 최적설계기법은 Rosenbrock function 과 six-hump carmel back function으로 검증하였고 다른 기법과 비교하였다. 이동최소자승법을 이용하여 무인항공기 배기 덕트의 신뢰성 최적설계를 수행하였고 이는 항공우주구조물의 최적설계에 유용할 것으로 보여 진다.

최소 제곱 서포트 벡터 회귀 기반 비선형 자귀회귀 방법을 이용한 지속 모음 모델링 (Sustained Vowel Modeling using Nonlinear Autoregressive Method based on Least Squares-Support Vector Regression)

  • 장승진;김효민;박영철;최홍식;윤영로
    • 한국지능시스템학회논문지
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    • 제17권7호
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    • pp.957-963
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    • 2007
  • 본 연구에서는 비선형 지속 모음 모델링을 위한 최소 제곱 서포트 벡터 회귀 기반 비선형 자귀회귀 방법을 소개하고 분석하였다. 비주기적인 파형 특성을 갖는 양성 후두 질환자 43명의 지속 모음을 대상으로 한 실험에서 제안된 비선형 합성기는 거의 완벽하게 혼란한 지속 모음을 생성하고 선형 예측 코딩은 할 수 없는 주파수 변동과 같은 자연스러운 음의 특성 또한 보존할 수 있었다. 하지만 일부 모음의 합성 결과 실제 원음과 다른 차이점을 보였다. 이러한 결과들은 단일 밴드 모델이 음의 고주파 성분을 조정, 분해 못하기 때문에 발생한 것이라 가정된다. 그러므로 웨이블릿 필터 뱅크를 이용한 멀티 밴드 모델을 단일 밴드 모델과 대치하여 실험을 수행한 결과 향상된 안정성을 보였다. 결과적으로 최소 제곱 서포트 벡터 회귀 기반 비선형 자귀회귀 방법은 성공적으로 원음에 가까운 합성음을 생성할 수 있다는 것을 확인 할 수 있었다.

NUMERICAL METHDS USING TRUST-REGION APPROACH FOR SOLVING NONLINEAR ILL-POSED PROBLEMS

  • Kim, Sun-Young
    • 대한수학회논문집
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    • 제11권4호
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    • pp.1147-1157
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    • 1996
  • Nonlinear ill-posed problems arise in many application including parameter estimation and inverse scattering. We introduce a least squares regularization method to solve nonlinear ill-posed problems with constraints robustly and efficiently. The regularization method uses Trust-Region approach to handle the constraints on variables. The Generalized Cross Validation is used to choose the regularization parameter in computational tests. Numerical results are given to exhibit faster convergence of the method over other methods.

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Nonlinear PLS Monitoring Applied to An Wastewater Treatment Process

  • Bang, Yoon-Ho;Yoo, Chang-Kyoo;Park, Sang-Wook;Lee, In-Beum
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2001년도 ICCAS
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    • pp.102.1-102
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    • 2001
  • In this work, extensions to partial least squares (PLS) for wastewater treatment (WWT) process monitoring are discussed. Conventional data gathered by monitoring WWT systems are usually time varying, high dimensional, correlated and nonlinear, PLS has been shown to be an efficient approach in modeling and monitoring high dimensional and correlated data. To represent dynamic and nonlinear features of the data several kinds of dynamic nonlinear PLS (DNLPLS) models have been proposed. However, the complexity and ambiguity of the models make them unsuitable for WWT monitoring, Recently, dynamic fuzzy PLS (DFPLS) was proposed ...

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리튬이온 배터리의 과전압/저전압을 막기 위한 회기 최소 자승법 기반의 실시간 내부 저항 추정방법 (Online Identification of Li-ion Battery's Internal Resistance based on a Recursive Least Squares Method to Prevent Overvoltage/Undervoltage)

  • 김우용;이평연;김종훈;김경수
    • 전력전자학회:학술대회논문집
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    • 전력전자학회 2018년도 전력전자학술대회
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    • pp.237-239
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    • 2018
  • This paper proposes an on-line estimation algorithm of internal resistance of Li-ion battery based on the recursive least squares method to prevent the overvoltage and undervoltage casing degradation of life cycle of battery. An equivalent circuit model with single time constant is adopted, and under assumptions that the terminal voltage, current and SOC are measured accurately, the discrete time based nonlinear equation of the model can be converted to the linear equation which can be applied to recursive least squares method. Since the coefficients of the discrete time linear equation can be expressed by the parameters of the equivalent circuit model, it is shown that an internal resistance (Ri) can be estimated in real time using the least square method.

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Nonlinear structural system wind load input estimation using the extended inverse method

  • Lee, Ming-Hui
    • Wind and Structures
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    • 제17권4호
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    • pp.451-464
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    • 2013
  • This study develops an extended inverse input estimation algorithm with intelligent adaptive fuzzy weighting to effectively estimate the unknown input wind load of nonlinear structural systems. This algorithm combines the extended Kalman filter and recursive least squares estimator with intelligent adaptive fuzzy weighting. This study investigated the unknown input wind load applied on a tower structural system. Nonlinear characteristics will exist in various structural systems. The nonlinear characteristics are particularly more obvious when applying larger input wind load. Numerical simulation cases involving different input wind load types are studied in this paper. The simulation results verify the nonlinear characteristics of the structural system. This algorithm is effective in estimating unknown input wind loads.