| 基于区间B样条小波有限元的移动荷载识别 |
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| 引用本文： | 尤琼,史治宇.基于区间B样条小波有限元的移动荷载识别[J].工程力学,2011(5):35-40. |
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| 作者姓名： | 尤琼 史治宇 |
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| 作者单位： | 南京航空航天大学结构与强度研究所; |
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| 基金项目： | 国家自然科学基金项目(10772076); 江苏省研究生培养创新项目(CX09B_071Z) |
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| 摘 要： | 小波有限元以区间B样条小波尺度函数为插值函数构造小波有限元单元,并通过单元转换矩阵建立小波空间与物理空间各参数之间的关系.采用动态规划法与Tikhonov正则化法识别移动荷载,避免了直接处理反问题时的振荡与数值计算病态解等问题.算例采用所测得的部分离散点的动态响应数据为已知信息,验证了小波有限元的优越性及小波的多尺度特...
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| 关 键 词： | 车桥系统 区间B样条小波 尺度函数 转换矩阵 动态规划法 Tikhonov正则化 |
MOVING FORCE IDENTIFICATION BASED ON B-SPLINE WAVELET ON THE INTERVAL |
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| YOU Qiong,SHI Zhi-yu.MOVING FORCE IDENTIFICATION BASED ON B-SPLINE WAVELET ON THE INTERVAL[J].Engineering Mechanics,2011(5):35-40. |
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| Authors: | YOU Qiong SHI Zhi-yu |
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| Affiliation: | YOU Qiong,SHI Zhi-yu(Institute of Strength and Structure,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,China) |
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| Abstract: | The elements in the WFEM(wavelet finite element method) are constructed by the scale function of BSWI(B-spline wavelet on the interval),and an elemental transformation matrix is formed to combine the parameters in both wavelet and physical spaces.The dynamic programming technique and Tikhonov regularization are used for the moving force identification,which inherently avoids large fluctuations and ill-condition.The superiority of WFEM and multi-scale property of BSWI is validated in the numerical cases usin... |
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| Keywords: | vehicle-bridge system BSWI scale function transformation matrix dynamic programming Tikhonov regularization |
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