采用矩阵束方法的复合材料圆管周向导波频散数据获取  

Acquisition of dispersion features of circumferential guided wave in a circular composite material pipe based on the matrix pencil method

作　　者：江灿 武丹 舒孟炯 温家炜 马卫卫[1] JIANG Can;WU Dan;SHU Mengjiong;WEN Jiawei;MA Weiwei(Institute of Acoustics,Chinese Academy of Sciences,Beijing 100190;Hubei Key Laboratory of Advanced Aerospace Propulsion Technology,System Design Institute of Hubei Aerospace Technology Academy,Wuhan 430040;University of Chinese Academy of Sciences,Beijing 100049)

机构地区：[1]中国科学院声学研究所,北京100190 [2]湖北航天技术研究院总体设计所航天动力先进技术湖北省重点实验室,武汉430040 [3]中国科学院大学,北京100049

出　　处：《声学学报》2024年第3期472-479,共8页Acta Acustica

基　　金：国家自然科学基金项目(12274432,52227901)资助。

摘　　要：基于矩阵束算法,提出了一种从弧形阵列采集数据中获取复合材料圆管多模态周向导波频散数据的方法。首先根据留数定理,给出了频率域导波响应信号的多模态周向导波叠加公式,构建了阵列导波信号的Hankel矩阵;然后通过求解Hankel矩阵的广义特征值获取了导波的频散数据,给出了综合利用正向和反向接收弧形阵列处理结果降低频散数据中噪声的方法;最后,设计了碳纤维复合材料圆管中周向传播导波信号的测量实验,利用矩阵束方法获取了圆管周向导波的频散数据,并与采用半解析有限元方法模拟的理论频散曲线进行了对比分析。理论频散曲线与实验数据吻合良好,表明该方法具有很强的鲁棒性,即使采用空气耦合换能器作为发射接收阵列,也可以有效地从弧形阵列波形信号中获取周向导波的频散数据。A method that can obtain the circular pipe multi-modal guided wave dispersion data from the circular receiver array data was proposed using the matrix pencil method.Firstly,based on the residue theorem,the multi-modal circumferential guided wave superposition formula of the guided wave response signal in the frequency domain is given,and the Hankel matrix of the array guided wave signal is constructed.Then,the dispersion data of the guided wave is obtained by solving the generalized eigenvalues of the Hankel matrix.The noise data in the dispersion data can be suppressed by using the average of the forward and backward receiver array processing results.Finally,the measurement experiment of the circumferential guided wave signal in a carbon fiber composite circular pipe is designed.The frequency dispersion data of the circular tube circumferential guide wave is obtained by the matrix pencil method and compared with the theoretical dispersion curve simulated by the semi-analytical finite element algorithm.The good agreement between the theoretical dispersion curve and the experimental data shows that the proposed method has strong robustness,and even if the air-coupled transducers are used as the transmit-receiver array,the frequency dispersion data of the guided wave can be effectively obtained.

关 键 词：周向导波 频散 复合材料圆管 矩阵束方法 

分 类 号：TB33[一般工业技术—材料科学与工程]