星型负泊松比多孔材料力学性能及应用研究

论文推导了星型负泊松比多孔材料的泊松比、弹性模量及相对密度的解析表达式,并通过有限元分析验证了解析表达式的准确性.星型负泊松比多孔材料具有优异的吸能与隔振性能,论文设计了一种船用星型多孔材料隔振基座.建立了不同层数、壁厚、泊松比的星型多孔L材料隔振基座对应的数值有限元模型,探究了星型多孔材料薄壁结构泊松比、层数以及壁厚对多孔材料隔振基座强度与减振性能的影响.研究表明,减少多孔材料薄壁结构的层数和壁厚,选用胞元泊松比-1.00的星型多孔材料,可以获得低频隔振效果好、强度高的多孔材料隔振基座.

Mechanical Properties and Application of the Star-shaped Cellular Auxetic Material

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.