基于振型曲率的夹芯波纹板脱焊损伤分析方法研究  

Research on the damage analysis method of sandwich corrugated plate based on modal curvature

作　　者：田淑侠 朱乾坤 秦志辉 陈振茂[2] 房占鹏 何文斌 李广棵 方鹏亚 TIAN Shuxia;ZHU Qiankun;QIN Zhihui;CHEN Zhenmao;FANG Zhanpeng;HE Wenbin;LI Guangke;FANG Pengya(Henan Key Laboratory of Intelligent Manufacturing of Mechanical Equipment,Zhengzhou University of Light Industry,450002 Zhengzhou,China;State Key Laboratory for Strength and Vibration of Mechanical Structures,Xi'an Jiaotong University,710049 Xi'an,China;School of Aeronautical Engineering,Zhengzhou University of Aeronautics,450046 Zhengzhou,China)

机构地区：[1]郑州轻工业大学河南省机械装备智能制造重点实验室,郑州450002 [2]西安交通大学机械结构强度与振动国家重点实验室,西安710049 [3]郑州航空工业管理学院航空工程学院,郑州450046

出　　处：《应用力学学报》2024年第5期1101-1109,共9页Chinese Journal of Applied Mechanics

基　　金：国家自然科学基金资助项目(No.11502239;51577139;51805491;72001192);河南省重点研发与推广专项(科技攻关)资助项目(No.202102210241;202102210237);2020年度河南省高校科技创新团队资助项目(No.20IRTSTHN015);郑州轻工业学院2018青年骨干教师资助项目(No.2018XGGJS003)。

摘　　要：针对夹芯波纹板在生产和服役过程中的漏焊、脱焊损伤提出了基于动态响应参数的损伤识别方法。首先基于有限元理论对波纹板不同大小、不同位置的损伤进行数值分析,然后基于数值分析所得损伤前后振动特性参数,使用中心差分法求取结构模态振型曲率,根据求得的损伤前后模态振型曲率,分别用差分法、曲面光滑算法和二维连续小波变换建立损伤识别指标,从而确定损伤的位置和数量。最后通过数值分析和实验数据处理,验证了损伤分析方法的有效性和可靠性。计算结果表明:基于模态振型曲率建立损伤识别指标的差分法、曲面光滑算法以及二维连续小波变换均可以检测到损伤的位置和数量,但曲面光滑算法和二维连续小波变换相较于差分法不需要结构损伤前的原始数据,更适用于工程实际问题。A damage identification method based on dynamic response parameters was proposed for the missing welding and debonding damage of sandwich corrugated plate caused during production and service.First,based on the finite element theory,the damage of the corrugated plate in different sizes and positions was numerically analyzed.Then,based on the vibration characteristic parameters before and after the damage obtained by numerical analysis,the modal curvature of the structure was obtained by using the central difference method.According to the obtained modal curvature before and after the damage,the damage identification index was established by difference method,gapped smoothing method and two-dimensional continuous wavelet transform respectively to determine the location and quantity of damage.Finally,through numerical analysis and experimental data processing,the validity and reliability of the damage analysis method are verified.Calculation results show that the difference method,gapped smoothing method and two-dimensional continuous wavelet transform based on modal curvature can detect the location and quantity of damage.However,compared with the difference method,the gapped smoothing method and the two-dimensional continuous wavelet transform do not need the original data before damage,and are more suitable for practical engineering problems.

关 键 词：夹心波纹板 脱焊损伤 模态振型曲率 差分法 曲面光滑算法 二维连续小波变换 

分 类 号：O342[理学—固体力学]