摘要
基于形函数和时域反卷积法的动态荷载识别方法能有效减少待求量数目和提高识别效率;为实现识别精度与效率之间的平衡,提出了一种基于多尺度小波形函数和时域反卷积的动态荷载识别方法。在时域内动态荷载进行离散化处理,并以小波尺度函数在时域单元内近似地逼近动态荷载,进一步组集所有时域单元小波形函数的动力响应,建立基于小波形函数的荷载-响应矩阵,识别结构动态荷载。通过提升小波尺度来提升荷载-响应矩阵尺度,提高动态荷载识别精度。采用悬臂梁和单层框架的数值算例验证了该方法的可行性。
Shape function and deconvolution based dynamic force identification methods can reduce the number of unknowns and enhance the identification efficiency significantly. To balance the contradiction between identification accuracy and efficiency, this paper proposed a dynamic force identification method based on multi-scale wavelet shape functions and time-domain deconvolution. The dynamic force was discretized into time units and the corresponding local force was approximated by wavelet scale functions. Subsequently the wavelet shape function based force-response equation was established through assembling the responses induced by the shape function forces of all time units for force identification. Finally the scale of force-response equation was lifted by adding high-scale wavelets to improve the identification accuracy gradually. Numerical examples of a cantilever bean and a single-story frame were conducted to verify the feasibility of the proposed method.
作者
贺文宇
汪洋
任伟新
HE Wenyu;WANG Yang;REN Weixin(Department of Civil Engineering,Hefei University of Technology,Hefei 230009,China)
出处
《振动与冲击》
EI
CSCD
北大核心
2019年第8期9-13,共5页
Journal of Vibration and Shock
基金
国家自然科学基金(51878234
51778204)
关键词
小波形函数
动态荷载
多尺度
wavelet shape function
dynamic force
multi-scale
