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模糊变分原理在求解结构固有频率中的应用

张旭东 邱志平 李琦

张旭东, 邱志平, 李琦等 . 模糊变分原理在求解结构固有频率中的应用[J]. 北京航空航天大学学报, 2014, 40(12): 1773-1779. doi: 10.13700/j.bh.1001-5965.2013.0749
引用本文: 张旭东, 邱志平, 李琦等 . 模糊变分原理在求解结构固有频率中的应用[J]. 北京航空航天大学学报, 2014, 40(12): 1773-1779. doi: 10.13700/j.bh.1001-5965.2013.0749
Zhang Xudong, Qiu Zhiping, Li Qiet al. Application of fuzzy variational principle in solution of natural frequency of structures[J]. Journal of Beijing University of Aeronautics and Astronautics, 2014, 40(12): 1773-1779. doi: 10.13700/j.bh.1001-5965.2013.0749(in Chinese)
Citation: Zhang Xudong, Qiu Zhiping, Li Qiet al. Application of fuzzy variational principle in solution of natural frequency of structures[J]. Journal of Beijing University of Aeronautics and Astronautics, 2014, 40(12): 1773-1779. doi: 10.13700/j.bh.1001-5965.2013.0749(in Chinese)

模糊变分原理在求解结构固有频率中的应用

doi: 10.13700/j.bh.1001-5965.2013.0749
基金项目: 高等学校学科创新引智计划资助项目(B07009);国家自然科学基金资助项目(11372025,11002013);航空科学基金资助项目(2012ZA51010);国防基础科研计划基金资助项目(JCKY2013601B)
详细信息
    作者简介:

    张旭东(1989-),男,河北唐山人,硕士生,tjuzxd@126.com.

  • 中图分类号: O327;O159

Application of fuzzy variational principle in solution of natural frequency of structures

  • 摘要: 在处理含模糊参数的结构固有频率问题时,现有的方法局限于先将模糊参数转化为区间数求解,再由区间解构造出相应的模糊解.由于现有方法计算量较大,所以提出了基于模糊变分原理的模糊里兹法和模糊有限元法.通过在瑞利商变分中直接引入模糊参数,得到了结构固有频率问题的模糊变分原理.作为模糊变分原理的应用,推导了模糊里兹法和模糊有限元法.这两种方法都可以直接得到问题的模糊解,与传统的区间解法相比,提高了计算效率.算例表明,这两种方法不但具有较高的计算精度,而且可以很大程度上减少计算量.

     

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出版历程
  • 收稿日期:  2014-01-08
  • 刊出日期:  2014-12-20

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