Analytical solution of excited torsional vibrations of prismatic thin-walled beams

Abstract

In the paper, the analytical solution of excited torsional vibrations of prismatic thin-walled beams for different types of boundary conditions and different types of external excitation of torsional moment are formulated. The presented solution can be applied, among others, to preliminary analysis of the optimal position of the actuators and the value of the applied voltage to the elements for minimization of the vibrations of the beams.