Abstract
This research work deals with analyzing instability and nonlinear behaviors of piezoelectric thermal nano-bridges. An adjustable thermo-elastic model with the ability to control stability conditions is developed to examine the system behavior at different temperatures. To increase the performance range and improve system characteristics, a piezovoltage is applied and a spring is connected to the sliding end of the deformable beam as design parameters. The partial differential equations (PDEs) are derived using the extended Hamilton’s principle and Galerkin decomposition is implemented to discretize the nonlinear equations, which are solved via a computational method called the step-by-step linearization method (SSLM). To improve the accuracy of the solution, the number of mode shapes and the size of voltage increments are analyzed and sufficient values are employed in the solution. The validity of the formulation and solution method is verified with experimental, analytical, and numerical data for several cases. Finally, the vibration and eigenvalue problem of the actuated nano-manipulator subjected to electrostatic and Casimir attractions are investigated. It is concluded that the fringing-fields correction changes the system frequency, static equilibrium, and pull-in characteristics significantly. The results are expected to be instrumental in the analysis, design, and operation of numerous adjustable advanced nano-systems.
Highlights
This research work deals with analyzing instability and nonlinear behaviors of piezoelectric thermal nano-bridges
As the pull-in instability restricts the operational range of tiny devices, obtaining system characteristics becomes important in numerous micro/nano-structures[1,2,3,4,5,6,7,8,9,10,11]
That is because several effects, especially intermolecular interactions play significant roles in the submicron-scale
Summary
This research work deals with analyzing instability and nonlinear behaviors of piezoelectric thermal nano-bridges. Electric fringing-fields corrections (FFC)[12,13], dispersion forces (Casimir and vdW)[14,15], size-dependent theories (couple stress (CST), strain gradient (SGT), and so on)[16,17], and surface layer elasticity models[18,19] have been taken into account so far. Each of these models and theories has special applications based on the miniature system properties and circumstances. It can be concluded that temperature variation affects the instability considerably that should be taken into account
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