桥梁结构移动荷载识别的辛精细积分算法
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国家自然科学基金(10572119和10632030)、教育部新世纪优秀人才支持计划(NCET040958)、陕西省自然科学基金(2006A07)、大连理工大学工业装备结构分析国家重点实验室开放基金及西北工业大学创新种子基金(Z200730)资助


An improved symplectic precise integration method for moving load identification of bridge structure
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    摘要:

    首先利用哈密顿原理,将桥梁结构振动微分方程转化为哈密尔顿正则方程形式,然后将精细积分思想的算法引入到辛算法中,形成辛精细积分算法.在时间微段上,将非齐次项正弦/余弦化,得到了荷载识别的辛精细积分格式.与传统RungeKutta方法及荷载识别的精细积分格式相比,仿真算例表明本文算法不仅提高了识别精度,而且在长期定量计算中保持了辛算法的稳定性,计算结果不受积分步长的影响,因此可通过增大积分步长,缩短仿真时间,提高计算效率.

    Abstract:

    Firstly, the generalized Hamilton’s principle was used to establish a model for bridge structure, which was discretized and transferred into Hamiltonian system to get the canonical equations. Secondly, the idea of PIM(precise integration method) was introduced into the Symplectic geometric algorithm to establish a Symplectic PIM(SPIM).This new algorithm was then applied to deal with moving force identification for bridge structure, from which the vibration equation was sine/cosine transformed to get the SPIM format. Compared with RungeKutta method and the PIM format for load identification, two numerical results display the longterm stability properties and the high precision of the SPIM, whose results could not be affected by the timestep .As a result, the timestep can be enlarged to speed up the computation.

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侯秀慧,邓子辰,黄立新.桥梁结构移动荷载识别的辛精细积分算法[J].动力学与控制学报,2008,6(1):66~72; Hou Xiuhui, Deng Zichen, Huang Lixin. An improved symplectic precise integration method for moving load identification of bridge structure[J]. Journal of Dynamics and Control,2008,6(1):66-72.

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  • 收稿日期:2007-06-13
  • 最后修改日期:2007-10-08
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