Mehrdad R. Kermani
Partially actuated beam, large-scale structure, partial differential equation-based modelling
In this paper, three modelling theories for a partially strengthened beam are compared. The effect of an actuator with large force capability on the natural frequencies and mode shapes of the beam is studied. More specifically, three modelling techniques, namely Euler–Bernoulli, Rayleigh–Ritz, Timoshenko beam theories in conjunction with the generalized Hamilton’s principle are utilized to derive the equation of motion and the boundary conditions of a partially actuated beam. The effect of the actuator is considered as an external torque on the sub-boundary conditions. A solution for the resulting equations for each modelling technique is obtained and a model of the beam strengthened with the actuator is derived. To evaluate the accuracy of each model, simulation results are compared to those experimentally obtained from a beam.
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