A New Approach to Extract Characteristic Parameters of the Buoc-Wen Model for Describing the Structural Dynamic Behavior

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Project title

Code/計畫編號

MOST103-2221-E019-058

Translated Name/計畫中文名

擷取描述結構動態行為布溫模型特性參數的新方法

Project Coordinator/計畫主持人

Jiang-Ren Chang

Funding Organization/主管機關

National Science and Technology Council

Department/Unit

Department of Systems Engineering and Naval Architecture

Website

https://www.grb.gov.tw/search/planDetail?id=8356105

Year

2014

Start date/計畫起

01-08-2014

Expected Completion/計畫迄

31-07-2015

Bugetid/研究經費

423千元

ResearchField/研究領域

機械工程

"布溫模型可用來描述與預測機械或結構系統非線性的動態行為。近年來，它之所以廣受歡迎，是因為數值上的方便處理與其可充分表現出對材料或結構的遲滯特性，以滿足對機械或結構動態行為的有效描述。由於布溫模型的分析與採用，理論上涉及許多非線性微分方程式的求解，因此，本研究擬提出一種不需額外憑藉試誤技巧或最佳化方法即可準確計算與擷取布溫模型之特性參數之新方法，稱之為修正型保群算法。本研究首先將以修正型保群算法來評估調控布溫模型參數計算的準確性與效能；然後再藉由標準測試算例來驗證使用該方法的適用性，俾做為日後進一步之工程應用；而處理參數鑑別時之反算問題，本研究將採用多項式傅立葉級數內插法與多流型指數收斂算則來解決計算時的數值不穩定性；此外，擷取布溫模型之特性參數常會遭遇量測資訊受噪音汙染之數值問題，本研究亦擬提出解決之道。最後，本研究將以文獻上之實例來驗證所提方法的可行性與準確性。"There are many models can be used to predict the nonlinear dynamical behavior of the mechanical or structural systems. One of these is the Buoc-Wen model. In recent years, it has been extremely popular because of being numerically tractable and showing a wide range of hysteretic behavior for describing the characteristic parameters of the mechanical or structural system. Since the Bouc-Wen model consists of a set of nonlinear differential equations, a newly developed approach, the modified Group Preserve Scheme (MGPS), will be developed to extract the characteristic parameters of the Buoc-Wen model without the need of adopting trial-and-error or optimization techniques. Computational accuracy and efficiency of the MGPS for simulating the Buoc-Wen model behaviors will be studied first for evaluation. Then, results of the MGPS for describing the model and identifying the characteristic parameters of the structural system will be discussed through benchmark examples for engineering applications. Thereafter, a combined use of the polynomial-Fourier-series interpolation method and the manifold-based exponentially convergent algorithm (MBECA) will be presented to deal with the numerical instability of the parameters identification, which is an inverse problem. In addition, a technique of estimating the parameters of hysteretic Bouc-Wen model on possible noise corrupted on the numerical stability of the algorithm will also be proposed. Finally, several practical cases in the literature will be investigated for verification. "

Keyword(s)

參數鑑別
布溫模型
保群算法
遲滯行為
數值不穩定
多流型指數收斂算則
Parameters identification
the Buoc-Wen model
GPS
hysteretic behavior
numerical instability
MBECA

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A New Approach to Extract Characteristic Parameters of the Buoc-Wen Model for Describing the Structural Dynamic Behavior

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