Wave propagation behavior of anisotropic slosh pipe structures relevant to sports training devices

Wenfeng Tang , Min Hao , Mostafa Habibi

Abstract

In this study, the wave propagation behavior of anisotropic slosh pipe structures, which serve as fundamental components in various dynamic training devices, is analytically investigated. A first-order shear deformation theory is employed to derive the governing equations for flexural wave propagation in anisotropic cylindrical shells partially or fully filled with a viscous fluid. Four different anisotropic materials—Balsa, Sweetgum, Yellow Poplar, and Mahogony Honduras—are examined to highlight the influence of material symmetry on dynamic performance. The internal fluid is modeled as Newtonian, laminar, fully developed, and axially symmetric, and its interaction with the shell is formulated using the Navier–Stokes equations. Hamilton's principle is applied to obtain coupled fluid–structure equations, which are solved analytically to determine wave frequency and phase velocity characteristics. Parametric analyses are conducted to assess the effects of flow velocity, radius-to-thickness ratio, and both circumferential and longitudinal wave numbers. The results demonstrate that increasing flow velocity induces a damping effect that reduces both wave frequency and phase velocity, while stiffer anisotropic materials such as hexagonal systems exhibit higher dynamic response levels. These findings provide valuable insights into the design and performance optimization of anisotropic slosh pipes used in advanced instability-based and fluid-dynamic training equipment.

Key Words

anisotropic slosh pipe; dynamic training devices; first-order shear deformation theory; viscous fluid flow; wave propagation behavior

Address

Wenfeng Tang — Guangzhou College of Technology and Business, Guangzhou 510850, Guangdong, China
Min Hao — Physical Education Teaching and Research Section, Basic Course Department, Wuhan Donghu College, Wuhan 430212, Hubei, China
Mostafa Habibi — Department of Mechanical Engineering, Faculty of Engineering, Haliç University, Istanbul, Turkey/ Department of Biomaterials, Saveetha Dental College and Hospital, Saveetha Institute of Medical and Technical Sciences, Chennai, India

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