摘要
将待识别车载简化为移动荷载投影到小波空间；车载所作用的连续梁模型以小波尺度函数为插值函数，以小波有限元法为建模方法，并通过单元转换矩阵实现了小波空间向物理空间的变换；采用部分加速度信号作为测得动响应数据，据此积分求出速度与位移响应并用于识别移动荷载。识别方法则借助了动态规划法与正则化法，避免了时程分析中的振荡现象。仿真算例验证了小波有限元用于连续梁模型移动荷载识别的可行性，且单元数较少；识别过程中所用一阶Tikhonov正则化法具有平滑去噪能力。
Abstract
The vehicle loads to be identified as moving forces are mapped into wavelet space, the continuous bridge model under the action of moving force are modeled by WFEM (wavelet finite element method), with the scale function of wavelet playing as an interpolation function, meanwhile an elemental transformation matrix is formed to combine the wavelet and physical spaces for WFEM. The moving force is identified with distributed acceleration data as measured dynamic responses, which should be integrated into velocity and displacement. The large fluctuation can be avoided during the analysis of time history with dynamic programming method and regularization. The simulation validates the feasibility of moving force identification on continuous bridge model using WFEM with fewer elements, furthermore the noise can be greatly smoothed by first order Tikhonov regularization during the identification.
关键词
小波有限元法 /
动态规划法 /
正则化
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Key words
wavelet finite element method /
dynamic programming technique /
regularization
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修建权;尤 琼;史治宇.
基于小波有限元法的连续梁移动荷载识别[J]. 振动与冲击, 2012, 31(6): 141-144
xiu jian-quan;YOU Qiong;SHI Zhi-yu.
Moving force identification on continuous bridges with wavelet finite element method[J]. Journal of Vibration and Shock, 2012, 31(6): 141-144
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