Vibration and damping performance of carbon fiber-reinforced polymer 3D double-arrow-head auxetic metamaterials

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Vibration and damping performance of carbon fiber-reinforced polymer 3D double-arrow-head auxetic metamaterials Yun-Long Chen1, Dong-Wei Wang1, and Li Ma1,* 1

Center for Composite Materials, Harbin Institute of Technology, Harbin 150001, People’s Republic of China

Received: 11 May 2020

ABSTRACT

Accepted: 13 September 2020

The vibration and damping performances of carbon fiber-reinforced polymer (CFRP) three-dimensional double-arrow-head (3D DAH) auxetic metamaterials are investigated in this paper. The negative Poisson’s ratio effects of the CFRP 3D DAH auxetic metamaterials are analytically studied by the energy method. 3D finite element models based on Modal Strain Energy approach are developed to analyze their vibration and damping characteristics. To validate the numerical models in the present study, the CFRP 3D DAH auxetic metamaterials are designed and manufactured. The sine-sweep response tests are conducted to investigate their vibration performances. The influence of different inclined corrugated angles, and fiber orientations on the natural frequencies, loss factors and the nominal Young’s modulus are plotted and discussed using validated numerical models. Meanwhile, the effect of Poisson’s ratio on the nominal Young’s modulus, natural frequencies and loss factors is also revealed explicitly. Furthermore, the comprehensive evaluation parameter that simultaneously characterizes the structural bearing capacity and vibration damping performance is further improved through parameter optimization.

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Introduction Auxetics are structures or materials with a negative Poisson’s ratio (NPR), also known as materials with anti-rubber or dilatational features [1]. Contrary to common materials with a positive Poisson’s ratio, auxetics will elongate along with directions

Handling Editor:Dale Huber.

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https://doi.org/10.1007/s10853-020-05366-z

perpendicular to the tensile loading direction. As a class of metamaterials with their counterintuitive deformation characteristic, auxetic materials and their structures have been endowed with many enhanced and special mechanical properties [2], including increased shear modulus [3, 4], indentation resistance [5–7], energy absorption ability [5, 8], low cut-off frequency [9], and synclastic curvature [10],

J Mater Sci

which have been paid widely attention to and brought extensive studies reported during the past decades [3, 4, 11–15]. Several types of periodic cellular auxetic structures have been developed, which include but are not limited to the reentrant honeycombs [16, 17], rotating rectangles, and triangles [18], double-arrow [19, 20], star-shaped and chiral configurations [21, 22]. It is generally known that excellent damping capacity is vital for many engineering applications such as aeronautics, astronautics, automotive, shipbuilding, and textile manufacturing machine industries with a requirement of vibration reduction and sound suppression