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Method of identifying nonlinear characteristic of energy dissipation in dynamic systems with one degree of freedom

Bocian M., Kulisiewicz M.

Archives of Civil and Mechanical Engineering

2014

Vol. 14, no. 3

354--359

A method of determining the shape of the vibration damping characteristic in systems with one degree of freedom in the case when the characteristic depends not only on the velocity but also in an unknown way depends on the displacement has been developed. The method is intended for determining the specific form of the mathematical function describing this dependence. The method utilizes an appropriate analysis of experimentally determined traces of free vibrations of the system. The method has been verified on a few selected computer systems.

Collision Modeling in Mechanical Systems on the Example of Impact Vibration Eliminators

Golec Z., Golec M.

Vibrations in Physical Systems

2004

Vol. 21

159--162

The work presents modeling of collisions of mechanical bodies using two basic models of the collision: the Newton model, in which dynamics of the collision is described by the coefficient of restitution, and the model considering the elastic dissipative properties of colliding bodies, i.e. the non-linear Kelvin-Voigt model. Quantitative similarity of both models was described using the energetic method.

Adaptacyjna identyfikacja nieliniowych układów mechanicznych

Hendzel Z., Żylski W., Noga S.

Zeszyty Naukowe Politechniki Rzeszowskiej. Mechanika

1999

z. 52 [174]

153-158

In this paper the problem of identification of a nonlinear dynamical system is considered. The proposed algorithm is applied to the model of the plant which has the property of being linear in the parameters. The structure of the identifier and its adaptation law are derived. The stability of the proposed identifier is analysed. To ilustrate our approch, the numerical tests were made in Matlab TM.