Equivalent linearization method based on energy-to-cth-power difference criterion in nonlinear stochastic vibration analysis of multi-degree-of-freedom systems

Guo Yan Wang, Min Dai

Research output: Journal article publicationJournal articleAcademic researchpeer-review

3 Citations (Scopus)


Basic equations of energy-to-cth-power difference criterion were derived for multi-degree-of-freedom (MDOF) systems subjected to stationary Gaussian excitations with non-zero mean. Modal transform technique was used in order to reduce the unknowns. Main computational formulae were presented and suggested values of c were given. Numerical results show that the method of this paper prevails over equation difference criterion both in accuracy and in simplicity.

Original languageEnglish
Pages (from-to)947-955
Number of pages9
JournalApplied Mathematics and Mechanics (English Edition)
Issue number8
Publication statusPublished - Aug 2001
Externally publishedYes


  • Energy
  • Equivalent linearization
  • Nonlinear
  • Stochastic vibration

ASJC Scopus subject areas

  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics

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