System Identification of Piezoceramic Beams

壓電材料樑之系統辨識

陳榮亮(Rong-Liang Chen) ； 王柏村(Bor-Tsuen Wang)

《中華民國振動與噪音工程學會論文集》 1998 (1998/05) Pp. 39-43

https://doi.org/10.30028/CSSVANNUAL.199805.0039

摘要

本文探討利用壓電片驅動器和壓電薄膜感測器進行系統辨識之技術，將一有限長度的壓電薄膜陣列平均的分佈在懸臂樑上當感測器，將兩有限長度的壓電片對稱的結合在樣之兩側並做180度相位角差之激振，使其為純彎矩激振。以模態分析之理論基礎推導對於壓電材料樑系統之傳統模態形式的頻率響應函數，並分別驗證得到壓電片和壓電薄膜模態振型之物理意義。由實驗量測可以得到壓電片驅動器和壓電薄膜感測器間的頻率響應函數，由一系列的頻率響應函數可求得模態參數。包括系統之自然頻率、模態振型及阻尼比。從實驗分析證明與理論推衍之結果相當吻合，成功的完成系統辨識，由此系統的模態參數可進一步總用到控制及結構破壞診斷。

並列摘要

This paper presents the system identification technique by applying PZT actuators and PVDF sensors. An array of finite-length PVDF films is equally spaced and distributed over a cantilever beans acting as sensors. Two finite-length PZT patches are bonded symmetrically and excited 180°out-of-phase for pure bending excitation. The theoretical base of modal analysis for system identification of piezoceramic beams is presented to derive the frequency response functions (FRFs) in conventional modal format. The physical interpretation of P11 and PVDF mode shape functions are characterized respectively. The FRFs between the PZT actuators and PVDF sensors are experimentally measured. By the operation of a series of FRFs and the application of modal parameter extraction method, the modal parameters. including system natural frequencies, mode shapes and modal damping ratios, can be obtained. Both theoretical and experimental approaches agree very well. The system information can be used for control applications and also be applicable to structural failure diagnosis.