基于逆有限元方法和位移振型函数的薄板动载荷识别方法

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振动与冲击 ›› 2024, Vol. 43 ›› Issue (21) : 284-290.

论文

基于逆有限元方法和位移振型函数的薄板动载荷识别方法

李可路1,2,肖龙飞1,2,3,刘明月1,2,3,寇雨丰1,魏汉迪1,2,3

作者信息 +

Identification of thin plate dynamic loads based on inverse finite element method and displacement mode shape functions

LI Kelu1,2, XIAO Longfei1,2,3, LIU Mingyue1,2,3, KOU Yufeng1, WEI Handi1,2,3

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文章历史 +

摘要

动载荷识别对于结构设计和健康监测具有重要意义。利用在工程实践中容易获得的应变响应，提出了一种基于逆有限元方法和位移振型函数的薄板动载荷识别方法，能够同时识别动载荷空间分布和时间历程。首先，逆有限元方法可以利用离散应变数据重建离散位移场。然后，采用位移振型函数拟合得到连续位移场，将拟合良好的振型函数代入薄板微分控制方程中确定识别载荷。最后，通过薄板集中载荷和全局分布载荷识别的两个数值算例，验证该方法的可行性和准确性。结果表明，提出方法对于薄板动载荷的识别是有效且准确的。

Abstract

Dynamic load identification plays an important role in structural design and health monitoring. A novel method based on the inverse finite element method (iFEM) and displacement mode shape functions was proposed in this paper to identify dynamic loads for thin plates through measured strain responses, which is readily accessible in practice. The proposed methodology enables the simultaneous identification of both spatial distribution and time history. The process begins with the reconstruction of the displacement field from the discrete strain data using iFEM. Subsequently, displacement mode shape functions fitting is employed to derive a continuous displacement field. The identified loads are then determined by incorporating the well-fitted mode shape functions into the differential governing equations of thin plates. Finally, two numerical examples for identification of concentrated loads and globally distributed loads were presented to validate the feasibility and accuracy of the proposed method. The results affirmed that the method is effective and accurate for load identification of thin plates under various loading conditions.

导出引用

李可路1, 2, 肖龙飞1, 2, 3, 刘明月1, 2, 3, 寇雨丰1, 魏汉迪1, 2, 3. 基于逆有限元方法和位移振型函数的薄板动载荷识别方法[J]. 振动与冲击, 2024, 43(21): 284-290

LI Kelu1, 2, XIAO Longfei1, 2, 3, LIU Mingyue1, 2, 3, KOU Yufeng1, WEI Handi1, 2, 3. Identification of thin plate dynamic loads based on inverse finite element method and displacement mode shape functions[J]. Journal of Vibration and Shock, 2024, 43(21): 284-290

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