article · Materials Research Express
This research investigates the mechanical and dynamic behaviour of a sandwich micro/nano rod fabricated with piezoelectric face sheets and resting on a Pasternak foundation. Using strain gradient theory alongside Love's rod model, governing equations of motion are derived through Hamilton's principle in terms of axial displacement and electric potential. The piezoelectric layers are subjected to a two-dimensional electric potential comprising an applied top voltage and a cosine distribution across the thickness. The study evaluates three primary structural responses: free vibration, wave propagation, and tension behaviour. Detailed numerical results demonstrate how material length scales and applied voltage significantly influence the mechanical performance and wave characteristics of the microrod under different operating conditions.
Understanding the dynamic responses of micro- and nano-scale piezoelectric structures under electrical fields is valuable for engineering precision components. By accounting for small-scale material effects and foundation stiffness, this theoretical framework clarifies how applied voltages alter vibration, wave propagation, and tension in tiny composite structures.
This work represents early-stage theoretical and numerical research. While insights into piezoelectric sandwich microrods could eventually inform engineering in micro-electromechanical systems, the abstract does not indicate an explicit commercialisation pathway or direct real-world application.
AI-generated from the published abstract. Always read the original work before citing.
Strain gradient theory is used to study free vibration, wave propagation and tension analyses of a sandwich micro/nano rod made of piezoelectric materials under electric potential. The structure is resting on a Pasternak's foundation medium. Love's rod model is used for derivation of displacement field. The piezoelectric face sheets are subjected to two-dimensional electric potential including an applied voltage at top of plate and a cosine term along the thickness direction. Hamilton's principle is used to derive governing equations of motion in terms of axial displacement and electric potential. Three distinct behaviors of the present problem including free vibration, wave propagation and tension analyses are performed. Some important numerical results are presented in detail to capture the effect of materials length scales and applied voltage on the different behaviors of microrod.
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DOI: 10.1088/2053-1591/3/11/115704
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