In this article, the translation movement of a thermoelastic web performing transverse vibrations caused by initial disturbance, is considered. It is supposed that the web moving with a constant translation velocity is described by the model of a thermoelastic panel with simply supported edges of the examined span. The problem of the optimal suppression of transverse vibrations of a multispan panel supported at discrete points is formulated with consideration of forces applied to the web. In order to solve the optimization problem, we use modern methods developed in the control theory of distributed parameter systems. We will present a framework of correct mathematical formulation of optimization problem for the case of 1-D structural element related to application of active control to dynamics problems of moving materials. In frame of given statement we include different inertia and active forces and also take into account the actuators action and mechanical and thermal interaction.
Variational Problem of Vibration Suppression for Thermoelastic Axially Moving Web
Computational Methods
Advances in Computational Methods and Technologies in Aeronautics and Industry ; Chapter : 20 ; 281-287
2022-12-13
7 pages
Article/Chapter (Book)
Electronic Resource
English
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