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Application of symplectic geometry algorithm to the calculation of random response of the dynamic system

  • Wu Kui Luo*
  • , Yu Feng Xing
  • , Rong Yang
  • *Corresponding author for this work
  • China Aviation Industry Corporation
  • Beihang University

Research output: Contribution to journalArticlepeer-review

Abstract

Duffing system was linearized by equivalent linearization method based on energy difference, then, the random response of the linear system was solved by combining the pseudo excitation method and four-order symplectic geometry algorithm. It is concluded that an approach to combine the pseudo excitation method, symplectic geometry algorithm and e-quivalent linearization method is accurate and efficient.

Original languageEnglish
Pages (from-to)37-43
Number of pages7
JournalHangkong Dongli Xuebao/Journal of Aerospace Power
Volume23
Issue number1
StatePublished - Jan 2008

Keywords

  • Duffing system
  • Energy difference
  • Equation difference
  • Equivalent linearization method
  • Pseudo excitation method
  • Symplectic geometry algorithm

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