Abstract：Auxetic material, which has a negative Poisson’s ratio, has been widely studied in recent decades. According to the existed research results, the mechanical properties of auxetic material are mainly determined by its micro structure. The star-shaped auxetic material structure shows outstanding advantages in vibration isolation and energy harvesting. Based on structural mechanics and plane geometry method, theoretical expressions for Poisson’s ratio, relative density and elastic modulus of the star-shaped structure are presented in this paper. The finite element models are built to verify the accuracy of the analytical expressions. While the numerical results of Poisson’s ratio and relative density are highly consistent with the theoretical predictions, the theoretical expression can only show the trend of the elastic modulus approximately. Then a vibration isolation marine base made of this auxetic structure is designed based on the analytical expressions and numerical simulation results of the star-shaped structure. Different Poisson’s ratios, layer numbers and cell thicknesses of the star-shaped structure are set to analyze its damping effect on the proposed Auxetic material, which has a negative Poisson’s ratio, has been widely studied in recent decades. According to the existed research results, the mechanical properties of auxetic material are mainly determined by its micro structure. The star-shaped auxetic material structure shows outstanding advantages in vibration isolation and energy harvesting. Based on structural mechanics and plane geometry method, theoretical expressions for Poisson’s ratio, relative density and elastic modulus of the star-shaped structure are presented in this paper. The finite element models are built to verify the accuracy of the analytical expressions. While the numerical results marine base. Mathematical modelling and numerical simulation show that Poisson’s ratio, layer number and cell thickness all make a significant difference in the dynamic response of the whole auxetic marine isolation system. The maximum von Mises stress and the vibration level difference are calculated to characterize the strength and the damping effects of the auxetic marine bases, respectively. According to the numerical analysis results, the optimized vibration isolation marine base with sound isolation performance and qualified static mechanical properties can be obtained by setting the Poisson’s ratio of the star-shaped structure as , and properly decreasing its layer number and cell thickness. The dynamic properties showing in the numerical simulations agree with the theoretical predictions of the elastic modulus as well. Therefore, these results should have an important significance in designing and optimizing the real star-shaped cellular auxetic vibration isolation marine bases.
2018, Vol. 39 
