article · Journal of Sandwich Structures & Materials
Strain gradient theory and Hamilton's principle are used to formulate the equations of motion for a functionally graded Timoshenko sandwich microbeam situated on a Pasternak foundation. The structure comprises a central micro-core bounded by two piezoelectric face-sheets, which are actuated through an applied electric potential. The derived mathematical model addresses three distinct operational modes: wave propagation, free vibration, and static bending. Numerical evaluations illustrate the effects of wave numbers, electrical voltage, foundation stiffness, material length-scale parameters, and inhomogeneity indices on structural behaviour. The findings demonstrate that modifying material length-scale parameters increases structural stiffness, which subsequently raises the natural vibration frequencies while diminishing both transverse deflection and peak electric potential.
Predicting how microscopic layered materials respond to electrical inputs and mechanical forces is critical when developing miniature electromechanical systems. By identifying how physical boundaries, voltage, and internal material scales alter bending, oscillation, and wave behaviour, these calculations help clarify the structural mechanics of advanced micro-scale composite components.
The abstract does not indicate an application pathway or commercial readiness level for the analysed microbeam.
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In this study, the strain gradient theory is employed to derive governing equations of motion of a functionally graded Timoshenko’s sandwich microbeam resting on Pasternak’s foundation. The microbeam is including a micro-core and two piezoelectric face-sheets on top and bottom. The plate is actuated with applied electric potential at top of piezoelectric face-sheets. The governing equations of motion are derived using Hamilton’s principle and strain gradient theory. After derivation of governing equations of motion, the problem is solved for three classes of analysis including wave propagation, free vibration and bending analysis. The numerical results are presented to reflect the effect of important parameters such as wave number, applied voltage, inhomogeneous index, parameters of foundation and material length-scale parameters on the different responses. The obtained results indicated that changing material length-scale parameters leads to a stiffer structure that increase natural frequencies and decreases transverse deflection and maximum electric potential.
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DOI: 10.1177/1099636217714181
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