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动载荷识别的非迭代法研究

余波 吴月 聂川宝 高强

余波, 吴月, 聂川宝, 高强. 动载荷识别的非迭代法研究[J]. 应用数学和力学, 2019, 40(5): 473-489. doi: 10.21656/1000-0887.390211
引用本文: 余波, 吴月, 聂川宝, 高强. 动载荷识别的非迭代法研究[J]. 应用数学和力学, 2019, 40(5): 473-489. doi: 10.21656/1000-0887.390211
YU Bo, WU Yue, NIE Chuanbao, GAO Qiang. A Non-Iterative Method for Dynamic Load Identification[J]. Applied Mathematics and Mechanics, 2019, 40(5): 473-489. doi: 10.21656/1000-0887.390211
Citation: YU Bo, WU Yue, NIE Chuanbao, GAO Qiang. A Non-Iterative Method for Dynamic Load Identification[J]. Applied Mathematics and Mechanics, 2019, 40(5): 473-489. doi: 10.21656/1000-0887.390211

动载荷识别的非迭代法研究

doi: 10.21656/1000-0887.390211
基金项目: 国家自然科学基金(11872166;11502063);安徽省自然科学基金(1608085QA07)
详细信息
    作者简介:

    余波(1984—),男,副教授(通讯作者. E-mail: yubochina@hfut.edu.cn).

  • 中图分类号: O342;O302

A Non-Iterative Method for Dynamic Load Identification

Funds: The National Natural Science Foundation of China(11872166;11502063)
  • 摘要: 为了快速准确地识别结构在复杂环境下的承载状态,基于有限元法和Newmark-β法提出了一种非迭代反演方法,并用于识别结构上施加的动载荷.通过探寻测量信息与待演参量之间的关系,建立误差函数,根据最小二乘法实现动载荷的直接识别无需迭代,其中对待反演的分布载荷实施基函数展开,以提高算法的抗不适定性.同时奇异值分解法被用来求解病态方程组.数值算例分别讨论了测量噪声、测点数量、基函数展开、测点位置和不同时间步长对反演结果的影响,结果显示该方法在识别动载荷时具有较高的精度和效率.
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出版历程
  • 收稿日期:  2018-08-01
  • 修回日期:  2018-09-11
  • 刊出日期:  2019-05-01

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