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弹性地基梁动力响应的Floquet变换解法
引用本文:刘卫丰,刘维宁. 弹性地基梁动力响应的Floquet变换解法[J]. 北京交通大学学报(自然科学版), 2008, 32(4)
作者姓名:刘卫丰  刘维宁
作者单位:北京交通大学土木建筑工程学院 北京100044
摘    要:利用弹性地基梁在纵向上的无限周期性,在频率-波数域内探讨了在Dirac脉冲作用下弹性地基梁动力响应的Floquet变换解法,并利用Fourier变换解法进行了验证.结果表明Floquet变换解法在解决弹性地基梁动力响应上具有一定的适用性,为此类问题的解答开辟了一个新的途径.

关 键 词:动力响应  弹性地基梁  Floquet变换解法  频率-波数域

Dynamic Analysis of A Beam on Elastic Foundation Through the Floquet Transformation Method
LIU Weifeng,LIU Weining. Dynamic Analysis of A Beam on Elastic Foundation Through the Floquet Transformation Method[J]. JOURNAL OF BEIJING JIAOTONG UNIVERSITY, 2008, 32(4)
Authors:LIU Weifeng  LIU Weining
Abstract:Based on the infinite periodicity of a beam on elastic foundation in the longitudinal direction,the dynamic response of the beam subjected to a Dirac impulse is analyzed by the Floquet transformation method in the frequency-wavenumber domain,which is validated by Fourier transformation method.The results show that the Floquet transformation method can be used to calculate the dynamic response of the beam on elastic foundation,which is a new approach to this problem.
Keywords:dynamic response  beam on elastic foundation  Floquet transformation method  frequency-wavenumber domain
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