Enhanced Vibration Characteristics of Honeycomb Plates Composed of Metamaterials with NTE

Mechanical metamaterials with tailorable negative thermal expansion (NTE) are significant and potential to be applied in stability control, precise instrument, space equipment, etc. This paper established the honeycomb plates which are composed of metamaterial lattices consisting of trapezoid units with NTE. The vibration characteristics of these honeycomb plates were analyzed by Euler beam elements in finite element analysis. The frequency characteristics and harmonic response analysis of these honeycomb plates were investigated under uniform temperature increments. In addition, the effects of geometric parameters on the fundamental frequency and thermal stress were discussed. Finally, the fundamental frequency and thermal stress were compared between the present metamaterials with trapezoid units and the corresponding metamaterials with triangular units. These results indicate that the NTE effect in metamaterials can enhance the fundamental frequency and reduce the deflection dynamic amplification factor of structures under uniformly raised temperatures. The present metamaterials provide a thought for designing and developing heat-resistant structures.