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Miura-ori core sandwich structures are promising substitutes to conventional honeycomb core sandwich structures for both load bearing and multifunctional applications. While quasi-static or impact behaviors have been widely studied, no theoretical work has been done yet for free vibration analysis of carbon-fiber-reinforced Miura-ori core sandwich beams (MSBs). This paper presents a simple and effective methodology to investigate the free vibration behavior of MSBs under simply supported boundary conditions. The governing equation of motion is built by Hamilton’s principle. Carbon-fiber-reinforced Miura-ori core is transformed to a continuous homogeneous material and the analytical expression of its equivalent transverse shear modulus is derived based on an energy approach. According to the deformation contributions of different components and shear modulus analysis of Miura-ori core, the differences of natural frequencies between the theoretical prediction and numerical simulation are analyzed. It indicates that the analytical model presented in this paper is effective to estimate the natural frequencies of carbon-fiber-reinforced MSBs, which may provide some references for further practical engineering applications of such kinds of composite sandwich structures.

Free vibration analysis of carbon-fiber-reinforced Miura-ori core sandwich beam: Theoretical prediction and numerical simulation