### 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 language | English |
---|---|

Article number | 497872 |

Journal | Mathematical Problems in Engineering |

Volume | 2014 |

DOIs | |

Publication status | Published - 2014 |

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### All Science Journal Classification (ASJC) codes

- Mathematics(all)
- Engineering(all)

### Cite this

_{(t)}- K

_{(t)}plane coordinates.

*Mathematical Problems in Engineering*,

*2014*, [497872]. https://doi.org/10.1155/2014/497872

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_{(t)}- K

_{(t)}plane coordinates',

*Mathematical Problems in Engineering*, vol. 2014, 497872. https://doi.org/10.1155/2014/497872

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

Research output: Contribution to journal › Article

TY - JOUR

T1 - The identification of nonlinear systems using C(t) - K (t) plane coordinates

AU - Chen, Ming Fei

AU - Chen, Dyi Cheng

AU - Yang, Chung Heng

AU - Tseng, Shih Feng

PY - 2014

Y1 - 2014

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84896996838&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84896996838&partnerID=8YFLogxK

U2 - 10.1155/2014/497872

DO - 10.1155/2014/497872

M3 - Article

AN - SCOPUS:84896996838

VL - 2014

JO - Mathematical Problems in Engineering

JF - Mathematical Problems in Engineering

SN - 1024-123X

M1 - 497872

ER -

_{(t)}- K

_{(t)}plane coordinates. Mathematical Problems in Engineering. 2014;2014. 497872. https://doi.org/10.1155/2014/497872