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A Possibility of Vibration Surveillance of Linear Unsteady Systems at Energy Performance Index

Kaliński K. J.

Mechanika / Akademia Górniczo-Hutnicza im. St. Staszica

2003

T. 22, z. 3

299-306

The paper is devoted to Vibration surveillance of unsteady systems, which are idealised by the finite element method. In order to reduce a level of Vibration, external control command is introduced. It is a special case of the active Vibration control and the dynamics of controlled system with changing in time coefficients is described. Here is defined an algebraic performance index, whose values change with time. It comprises influence of kinetic and potential energies of Vibration, and also control energy. Optimal control command is generated on-line, with presumed sample ratio. Thus, the formulation is better than ones based on an integral performance index. The other advantage is that the approach proposed does not require an examination of controllability and observability of the system. Consideration concerns either whole vibrating system, or one being reduced. As illustrative example of the approach, time-domain vibration surveillance of railway weighing device is elaborated.