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一种功能梯度Timoshenko梁的损伤识别方法

邓昊 程伟

邓昊, 程伟. 一种功能梯度Timoshenko梁的损伤识别方法[J]. 北京航空航天大学学报, 2016, 42(10): 2214-2221. doi: 10.13700/j.bh.1001-5965.2015.0618
引用本文: 邓昊, 程伟. 一种功能梯度Timoshenko梁的损伤识别方法[J]. 北京航空航天大学学报, 2016, 42(10): 2214-2221. doi: 10.13700/j.bh.1001-5965.2015.0618
DENG Hao, CHENG Wei. Damage identification method for functionally graded Timoshenko beams[J]. Journal of Beijing University of Aeronautics and Astronautics, 2016, 42(10): 2214-2221. doi: 10.13700/j.bh.1001-5965.2015.0618(in Chinese)
Citation: DENG Hao, CHENG Wei. Damage identification method for functionally graded Timoshenko beams[J]. Journal of Beijing University of Aeronautics and Astronautics, 2016, 42(10): 2214-2221. doi: 10.13700/j.bh.1001-5965.2015.0618(in Chinese)

一种功能梯度Timoshenko梁的损伤识别方法

doi: 10.13700/j.bh.1001-5965.2015.0618
详细信息
    作者简介:

    邓昊,男,硕士研究生。主要研究方向:结构动力学。Tel.:15313257835,E-mail:15313257835@163.com;程伟,男,博士,教授,博士生导师。主要研究方向:结构动力学。Tel.:010-82310409,E-mail:cheng_wei@buaa.edu.cn

    通讯作者:

    程伟,Tel.:010-82310409,E-mail:cheng_wei@buaa.edu.cn

  • 中图分类号: TV312

Damage identification method for functionally graded Timoshenko beams

  • 摘要: 为了获得功能梯度材料的高精度损伤识别方法,本文基于动力学方法,通过对状态空间变量进行变量替换,求得了沿轴向指数分布的功能梯度Timoshenko梁的传递矩阵,通过分析裂纹对结构局部柔度的影响,采用扭转弹簧模拟裂纹对结构局部柔度的贡献,建立了功能梯度Timoshenko梁的表面裂纹传递矩阵,并且推导了复杂边界条件下多跨梁的理论模型。通过将非线性方程组转化为单一目标函数优化问题,并将增广拉格朗日算法与差分进化算法相结合对结构进行损伤识别。计算实例表明,本文提出的方法具有精度高、收敛快等特点,且适用于复杂边界条件下多损伤模型的损伤识别。

     

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出版历程
  • 收稿日期:  2015-09-22
  • 刊出日期:  2016-10-20

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