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System identification of jointed structures: Nonlinear modal testing vs. State-space model identification

機(jī)譯:節(jié)理結(jié)構(gòu)的系統(tǒng)識別:非線性模態(tài)測試與狀態(tài)空間模型識別

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摘要

Two approaches for experimental identification of the nonlinear dynamical characteristics of jointed structures are investigated, (a) Nonlinear Modal Testing, (b) State-Space Model Identification. Both require only minimal a priori knowledge of the specimen. For method (a), the definition of nonlinear modes as periodic motions is used, in its generalized formulation recently proposed for nonconservative systems. The theoretically required negative damping compensating the frictional dissipation is experimentally realized by properly controlled excitation. This permits the extraction of modal frequencies, damping ratios and vibrational deflection shapes as a function of the vibration level. For method (b), a state-space model with multivariate polynomial nonlinear terms is identified from the vibration response to a properly designed excitation signal. Both methods are applied to a structure with bolted joints. The quality of the extracted modal and state-space models, respectively, is assessed by comparing model-based predictions of the forced vibration response to reference measurements.
機(jī)譯:研究了兩種對節(jié)理結(jié)構(gòu)非線性動力特性進(jìn)行實(shí)驗(yàn)識別的方法,(a)非線性模態(tài)測試,(b)狀態(tài)空間模型識別。兩者都只需要樣本的先驗(yàn)知識。對于方法(a),在最近為非保守系統(tǒng)提出的廣義公式中,使用了將非線性模式定義為周期性運(yùn)動的方法。理論上需要的負(fù)阻尼補(bǔ)償摩擦耗散是通過適當(dāng)控制勵磁實(shí)驗(yàn)實(shí)現(xiàn)的。這允許根據(jù)振動水平提取模態(tài)頻率,阻尼比和振動撓度形狀。對于方法(b),從對正確設(shè)計的激勵信號的振動響應(yīng)中識別出具有多元多項(xiàng)式非線性項(xiàng)的狀態(tài)空間模型。兩種方法都適用于具有螺栓連接的結(jié)構(gòu)。通過將基于模型的強(qiáng)制振動響應(yīng)的預(yù)測與參考測量值進(jìn)行比較,可以分別評估提取的模態(tài)和狀態(tài)空間模型的質(zhì)量。

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