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In order to instantaneously distinguish the Ct (coefficient of viscous damping) and Kt (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 Ct-Kt are analyzed and the dynamic behavior of M.C.K. systems in a Ct-Kt 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 Ct and Kt of an instantaneous system. Finally, this method is used to identify the aerostatic bearing dynamic parameters, C and K

mathematical problems in engineering

The Identification of Nonlinear Systems Using<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:msub><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mfenced separators="|"><mml:mrow><mml:mi>t</mml:mi></mml:mrow></mml:mfenced></mml:mrow></mml:msub></mml:mrow></mml:math>-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M2"><mml:mrow><mml:msub><mml:mrow><mml:mi>K</mml:mi></mml:mrow><mml:mrow><mml:mfenced separators="|"><mml:mrow><mml:mi>t</mml:mi></…

The Identification of Nonlinear Systems UsingCt-Kt