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 journalArticle

Abstract

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
Volume2014
DOIs
Publication statusPublished - 2014

Fingerprint

Cartesian plane
Nonlinear systems
Identification (control systems)
Bearings (structural)
Nonlinear Systems
Damping
Stiffness
Coefficient
Sampling
Dynamic Behavior
Instantaneous
Adjacent
Calculate
Experiments
Graph in graph theory
Experiment

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Engineering(all)

Cite this

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abstract = "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.",
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The identification of nonlinear systems using C(t) - K (t) plane coordinates. / Chen, Ming Fei; Chen, Dyi Cheng; Yang, Chung Heng; Tseng, Shih Feng.

In: Mathematical Problems in Engineering, Vol. 2014, 497872, 2014.

Research output: Contribution to journalArticle

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