Wave propagation characteristics in a rotating soft cylinder

• Published in: International journal of solids and structures 2024-03, Vol.289, p.112639, Article 112639
• Main Authors: Zhang, Yinnan, Li, Kecheng, Liu, Congshan, Zhan, Haifei, Lü, Chaofeng
• Format: Article
• Language: English
• Subjects: Dispersion curve; Rotating cylinder; Snap-through; Wave propagation
• ISSN: 0020-7683; 1879-2146
• DOI: 10.1016/j.ijsolstr.2023.112639

•Investigated the effects of the Coriolis and centrifugal forces on wave propagation.•Uncovered the discontinuous frequency change phenomena in rotating structures.•Revealed the snap-through in frequency of a rotating cylinder. Wave propagation characteristics in rotating cylindrical structures, which reflect the dynamic properties of the structures, play a crucial role in various applications. This paper systematically investigates the wave propagation characteristics in a rotating soft cylinder, based on the Neo-Hookean and Ogden soft material models. The finite deformation theory and the linear incremental theory are employed to solve the large deformation induced by rotation and the small perturbation caused by wave propagation. It is found that rotation changes the geometry size, induces the asymmetry of the forward and backward waves, and leads to the discontinuous frequency change. At large wave numbers, the effect of asymmetry can be neglected for a thin cylinder. However, for small wavenumbers, the effect of asymmetry is significant for both thin and thick cylinders. As the speed increases, the frequency will undergo a sudden and discontinuous change in both Neo-Hookean and Ogden models. In the Ogden model, the snap-through in frequency is observed, during which the dispersion curves will change dramatically. The results of this work will benefit the application of the rotating systems with soft rollers and wheels, and the frequency characteristics can be used in structural detection and signal generation.