Abstract
The present theory is based on an intrinsic, electromechanically coupled mixed variational formulation to study dynamical instability of a two-way coupled electromechanical beam. A computational code is developed based on the present theory, where the coupled equations over space-time are solved by a combined Newton-Raphson and Newmark method. Validation of the dynamic results for sensor applications for fixed and follower loads have been done. Both, linear and nonlinear results have been discussed. The eigenvalue analysis, flutter dynamic instability and the effect of various circuit conditions on instability have been discussed. The computation time comparison between the commercially available software and the present theory shows the efficacy of the analysis presented. The computational platform developed here may be utilized for designing real applications like smart wind turbines and smart laminated airplane wings, which are highly flexible and undergo large displacements and rotations.
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