Abstract
The variable thickness function is innovatively added. The carbon fiber layer and the porous foam metal aluminum, are selected to composite the composition of a variable thickness cantilevered trapezoidal plate for modeling and free vibration analysis. Hamilton’s principle is used to develop the motion control equation of the trapezoidal plate with variable thickness cantilevered sandwich, and Galerkin’s approach is used to determine the inherent frequency of the system. The research employs suitable analytical methods to solve them, and analyzes the outcomes to uncover the effects of geometric parameters, material properties, and thickness variations on the structure.
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