A layer-wise formulation for vibration performance of nanocomposite structure by introducing a novel viscoelastic substrate involving friction force

Abstract

The vibration of different structural members is highly dependent on the external forces and environment they are moving in it. The stiffness and mass properties of the structure are the main factors in determining the frequency responses. However, situations commonly occur in which the structures are exposed to perpetual external loading conditions. In the present study, a novel model for investigating the effects of friction between structure and substrate is proposed and applied in small-scale cylindrical structures. In this regard, nanocomposite materials made of epoxy and reinforced by graphene oxide particles in an axial direction are used as the main material of the cylinder. The classical formulation of elasticity for anisotropic materials in a polar coordinate system is derived and presented. Moreover, the homogeneous properties of the nanocomposite are evaluated using Halpin–Tsai formulation. The core idea of the current study is to develop and present a new concept of the frictional substrate to incorporate friction forces into consideration along with visco-elastic reactions. Both finite element and analytical solutions are provided to examine the effects of different parameters on the vibrational behavior of the structure. The results of the study are presented using graphs for a detailed presentation of the effects of different parameters.

Keywords:

• Layer-wise formulation
• novel viscoelastic substrate
• friction force
• vibration performance
• nanocomposite shell in the axial direction

Acknowledgment

This work has been finically supported by Natural Science Research Project of Guangdong University of Petrochemical Technology (519019); Guangdong Science and technology projects (2021A0505060010), Shandong Science and technology projects (2022TSGC2379)# Innovation and Entrepreneurship Training Program for Guangdong University of Petrochemical Technology Students (73321047, 73322092, 73322194).