• ISSN 0258-2724
  • CN 51-1277/U
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Volume 27 Issue 4
Jul.  2014
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Article Contents
Journal of Southwest Jiaotong University  > 2014  >  27(4): 631-636.
SHAO Junhu, XIANG Tianyu, ZHAO Renda. Transfer Matrix Method of Beam-Column Transient Analysis Considering Second-Order Effect[J]. Journal of Southwest Jiaotong University, 2014, 27(4): 631-636. doi: 10.3969/j.issn.0258-2724.2014.04.011
Citation: SHAO Junhu, XIANG Tianyu, ZHAO Renda. Transfer Matrix Method of Beam-Column Transient Analysis Considering Second-Order Effect[J]. Journal of Southwest Jiaotong University, 2014, 27(4): 631-636. doi: 10.3969/j.issn.0258-2724.2014.04.011
shu

Transfer Matrix Method of Beam-Column Transient Analysis Considering Second-Order Effect

doi: 10.3969/j.issn.0258-2724.2014.04.011
  • Received Date: 19 May 2013
  • Publish Date: 25 Aug 2014
    Abstract
  • Second-order effect of a compression-bending member under a high axial force will influence the stiffness and dynamic characteristics of a structure, so a transfer matrix method was proposed to calculate the transient response of beam-column with considering the second-order effect. With this method, the dynamic partial differential equations for Euler-Bernoulli beam are discretized in time domain with the Newmark-β method and transformed into an ordinary differential equation; the differential equation is solved with the variation of constants method to obtain the analytical solution of displacement increment in continuous space domain. Based on the principle of the transfer matrix method, an incremental transfer matrix for discrete-time transient analysis is derived, and a corresponding algorithm was proposed for the transient analysis considering the second-order effect. The numerical results indicate that under the same calculation accuracy, computational efficiency of the proposed method is 3.57 times that of finite element software ANSYS, and the dynamic responses of a structure subjected to a moving load can be obtained easily.

     

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