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含裂纹损伤充液圆柱壳的振动响应求解方法
引用本文:朱吟龙,谭大鹏,李霖,郑帅.含裂纹损伤充液圆柱壳的振动响应求解方法[J].固体力学学报,2019,40(1):51-73.
作者姓名:朱吟龙  谭大鹏  李霖  郑帅
作者单位:浙江工业大学机械工程学院,特种装备制造与先进加工技术教育部/浙江省重点实验室,杭州,310014;浙江工业大学机械工程学院,特种装备制造与先进加工技术教育部/浙江省重点实验室,杭州,310014;浙江工业大学机械工程学院,特种装备制造与先进加工技术教育部/浙江省重点实验室,杭州,310014;浙江工业大学机械工程学院,特种装备制造与先进加工技术教育部/浙江省重点实验室,杭州,310014
基金项目:流固耦合条件下的薄壳壁面冲击效应与位移响应求解方法; 薄壳流固耦合冲击振动产生传播机理与动态识别方法; 气液固三相磨粒流超光滑表面抛光方法及其微气泡与气流驱动加工机理研究
摘    要:薄壁圆柱壳流体冲击振动响应是一个复杂的流固耦合(FSI)动力学问题,对于薄壳状态监测与缺陷识别具有重要意义。基于Flügge壳体应力理论,得到壳体运动的高阶偏微分方程组(PDE),利用波传播方法获得圆柱壳系统振动响应。将壳体周围流体定义为理想声学介质,通过亥姆霍兹方程描述声压场,得到流固耦合条件下的薄壁圆柱壳受迫振动响应演变规律。针对薄壳裂纹损伤识别问题,基于断裂力学理论建立局部柔度矩阵,结合呼吸型线弹簧模型(LSM),构造裂纹附近应力及位移连续条件,获得含裂纹损伤充液圆柱壳的振动响应,进而给出一种基于振动能量流的裂纹损伤识别方法。研究结果表明:充液圆柱壳耦合系统在非线性激励下,位移响应在沿轴向、周向和径向的传播特性差异明显;裂纹的存在会导致结构局部柔度的降低和耦合系统固有频率下降;归一化输入功率流能够有效地对充液圆柱壳耦合系统进行结构裂纹损伤识别。研究结果可为充液薄壳振动响应方面的研究提供有益参考,也可为流固耦合条件下的结构裂纹损伤识别方面提供技术支持。

关 键 词:流固耦合  薄壁圆柱壳  振动响应  损伤识别
收稿时间:2018-07-25

Vibration response method for liquid-filled thin cylindrical shell with crack damage
Abstract:Thin cylindrical shell fluid shock vibration response is a complex fluid-structure interaction (FSI) issue, and with importance significance to the state monitoring and damage recognition of thin shell. Based on the Flügge shell stress theory, the high-order partial differential equations (PDE) of thin shell motion are set up, and the system vibration response is obtained by the wave propagation method. The peripheral fluid is defined as the ideal sound media, and the sound pressure field is described by the Helmholtz equation. According to the above hypothesis, the forced vibration response and evolution regularities of thin cylindrical shell considering fluid-structure interaction are acquired. To conduct the recognition for crack damage of thin shell, the partial flexibility matrix is constructed by the facture mechanical principles, in combination with the breathing linear spring model (LSM), the adjacent stress and displacement conditions are built up. Consequently, the forced vibration response of liquid-filled thin cylindrical shell with crack is obtained, and a vibration power flow based crack damage recognition method is presented. The results showed that the displacement responses on the radial, axial and circumferential directions of liquid-filled thin cylindrical shell are with apparent differences by the nonlinear excitations; the peak values of radial and axial displacements take on distance delay phenomenon; the radial displacement contains more peak values, and has more close relation with fluid pulse excitation; the crack can decrease the partial flexibility and system natural frequency, and can change the power flow characteristics of the FSI system; by the increasing of crack depth, the transmission coefficient of vibration wave will be decreased; the normalized input power flow can recognize the crack damage of liquid-filled thin cylindrical shell. This research not can provide useful references to the modeling-solving of liquid-filled thin shell vibration response, but can offer potential solution scheme for the structure crack recognition under the condition of fluid-solid coupling.
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