The identification of nonlinear systems using C(t) - K (t) plane coordinates

Ming Fei Chen, Dyi Cheng Chen, Chung Heng Yang, Shih Feng Tseng

Research output: Contribution to journalArticlepeer-review


In order to instantaneously distinguish the C t (coefficient of viscous damping) and K t (coefficient of stiffness), which are both functions of time in an M.C.K. nonlinear system, a new identification method is proposed in this paper. The graphs of the C t - K t are analyzed and the dynamic behavior of M.C.K. systems in a C t - K t coordinate plane is discussed. This method calculates two adjacent sampling data, the displacement, velocity, and acceleration (which are obtained from the responses of a pulse response experiment) and then distinguishes C t and K t of an instantaneous system. Finally, this method is used to identify the aerostatic bearing dynamic parameters, C and K.

Original languageEnglish
Article number497872
JournalMathematical Problems in Engineering
Publication statusPublished - 2014

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Engineering(all)

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