摘要
基于灵敏度分析的有限元模型修正方法与Tikhonov正则化方法相结合,可以有效抑制实测模态参数中噪声的影响,正确识别结构损伤,但也存在着识别结果过度光滑的缺陷。通过在Tikhonov罚函数项中引入光滑函数,改善Tikhonov正则化方法对非光滑解的描述能力,在保持识别算法鲁棒性的同时,提高模型修正方法对于结构损伤的识别精度。以简支梁模型为例的损伤识别数值模拟表明,该文方法不仅能扩大正则化参数的可选择范围,还能显著降低噪声对识别结果的干扰,提高单元损伤程度的识别精度。
The sensitivity-based finite element model updated with classical Tikhonov regularization can alleviate the ill-conditioning in solving the damage identification problems,and suppress the influence of noise in the measured model parameters.However the introduction of Tikhonov regularization may lead to an over-smooth solution.In order to improve the identification of non-smooth solution,smooth function is introduced in Tikhonov punishment function to enhance robustness and accuracy of the structure damage identification algorithm.The numerical simulations show that sensitivity-based model updated with improved Tikhonov regularization can reduce the influence of measurement noise effectively and identify the structure damages correctly.
出处
《工程力学》
EI
CSCD
北大核心
2012年第2期29-33,44,共6页
Engineering Mechanics
基金
国家自然科学基金青年基金项目(50909049)
江西省自然科学青年基金项目(2009GQC0084)
教育部博士点基金项目(20103601110006)
关键词
模型修正
TIKHONOV正则化
损伤识别
光滑函数
正则化参数
model updating
improved Tikhonov regularization
damage identification
smooth function
regularization parameter
