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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.

Derived piecewise continuous controller: application to nonlinear mechanical robot's trajectory tracking

Wang H., Vasseur C., Koncar V., Chamroo A., Christov N.

Systems Science

2009

Vol. 35, no 4

39-48

In this paper, a derived piecewise continuous controller based method for an X-Y robot system trajectory tracking is proposed. The controller, which is based on the theory of particular hybrid systems called piecewise continuous systems characterized by autonomous switching and controlled impulses, uses only the robot's position measurement for feedback and does not require any identification work of the electromechanical system. The effectiveness and robustness of the method developed are analyzed theoretically and experimented with different type references on a real time X-Y robot system.

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.