Summary
Pipes are widely used in aircraft, ships and other engineering fields. The vibration of the pipe will affect the reliability of the system and even cause accidents. Therefore, the vibration control of the pipe is of great significance. Most of the existing literatures consider the linear constitutive relationship to establish the pipe model, namely Hooke's law. However, with the continuous development of hyperelastic materials, it has become a novel idea to apply them to vibration control of pipes. In this paper, the nonlinear constitutive relationship of the hyperelastic material is considered, and it is combined with the flexible pipe to form a laminated pipe. Furthermore, the dynamic characteristics of the laminated pipe were further investigated. By combining Maxwell model and Yeoh hyperelastic model, the mathematical model of nonlinear forced vibration with a simply supported visco-hyperelastic laminated pipe is established. The influence of hyperelastic coefficient on the natural frequency of the pipe is analyzed by Galerkin truncation method. Based on the harmonic balance method (HBM), the forced vibration response of the pipe is analyzed. And the results are verified by the differential quadrature element method (DQEM). The results show that compared with the single-layer pipe, the visco-hyperelastic layer has little effect on the natural characteristics of the laminated pipe, but it can effectively improve the vibration control. This also provides a theoretical basis for the application of laminated pipes.
