| 基于摄动方法的受损薄板模态分析 |
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| 引用本文： | 陈江义,刘竹丽,秦东晨,王迎佳. 基于摄动方法的受损薄板模态分析[J]. 机械强度, 2006, 28(3): 332-335 |
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| 作者姓名： | 陈江义 刘竹丽 秦东晨 王迎佳 |
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| 作者单位： | 郑州大学,机械工程学院,郑州,450002;郑州大学,机械工程学院,郑州,450002;郑州大学,机械工程学院,郑州,450002;郑州大学,机械工程学院,郑州,450002 |
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| 摘 要： | 将结构的损伤用δ函数进行表达，建立损伤条件下薄板的自由振动方程。利用一阶摄动方法给出摄动项的一般表达式，并结合δ函数的性质，求出受损薄板模态参数的解析表达式。以一个四边简支的受损薄板为数值算例，计算损伤条件下其模态参数的变化。最后分析损伤情况对模态参数的影响，为利用动力学特性对板的损伤监控和检测提供理论依据。
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| 关 键 词： | 薄板 模态分析 结构损伤 摄动方法 |
| 收稿时间： | 2005-07-27 |
| 修稿时间： | 2005-07-272005-10-26 |
MODAL ANALYSIS OF DAMAGED THIN PLATE BASED ON PERTURBATION METHOD |
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| CHEN JiangYi,LIU ZhuLi,QIN DongChen,WANG YingJia. MODAL ANALYSIS OF DAMAGED THIN PLATE BASED ON PERTURBATION METHOD[J]. Journal of Mechanical Strength, 2006, 28(3): 332-335 |
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| Authors: | CHEN JiangYi LIU ZhuLi QIN DongChen WANG YingJia |
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| Affiliation: | School of Mechanical Engineering, Zhengzhou University, Zhengzhou 450002, China |
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| Abstract: | A new method is presented to calculate the modal parameters of damaged thin plate. The expressions for the flexural rigidity and mass per unit area of the plate due to the damage are derived by using the Delta function approach. And these expressions are utilized to obtain the governing equation for the damaged thin plate. By virtue of the first-order perttn-bation, eigenvalues and the correspending mode shapes are obtained for the damaged plate. Finally, a simply supported thin plate is used to calculate the modal parameters, and the effects of damage on modal parameters are discussed. The approach proposed can be used to provide the necessary theoretical background for damage identification in thin plate. |
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| Keywords: | Thin plate Modal analysis Structural damage Perturbation method |
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