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Nonlinear Free Vibration of Fluid-Filled Hyperelastic Cylindrical Shells Using Novozhilov Theory and Multiple Scales Method | ||
| Mechanics of Advanced Composite Structures | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 30 خرداد 1405 اصل مقاله (784.07 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22075/macs.2026.39163.1924 | ||
| نویسندگان | ||
| Saboor Savafi1؛ Korosh Khorshidi* 2 | ||
| 1Department of Mechanical Engineering, Faculty of Engineering, Arak University, Arak, Iran | ||
| 2Arak University | ||
| تاریخ دریافت: 03 مهر 1404، تاریخ بازنگری: 09 خرداد 1405، تاریخ پذیرش: 30 خرداد 1405 | ||
| چکیده | ||
| This study investigates the nonlinear free vibration of thin, fluid-filled cylindrical shells made of hyperelastic material. Utilizing the Mooney-Rivlin constitutive model, the equations of motion are derived via Lagrange’s equation, accounting for potential, kinetic, and damping energy. To ensure a higher level of accuracy and precision in capturing the shell's kinematics, the analysis employs Novozhilov's nonlinear shell theory, which incorporates higher-order geometric terms often neglected in standard analytical approaches. This theoretical framework constitutes the core novelty of the present work, enabling a more rigorous investigation compared to existing studies that rely on simplified shell theories. The multiple-scale method is employed to obtain an analytical solution based on this refined model. Key findings include: (1) the fundamental vibration mode is identified as (1,4), corresponding to one longitudinal half-wave and four circumferential waves; (2) the presence of fluid markedly reduces the natural frequency due to added mass effects; (3) the system generally exhibits hardening behavior, which intensifies with increased fluid content and higher circumferential wave numbers; however, a transition to softening behavior occurs when the shell length is four times the radius (β=0.25); and (4) a weakly hardening response is observed when shell length equals its radius (β=1). Results are validated against finite element simulations in ANSYS and compared with existing literature, offering valuable insights for the design and vibration control of soft fluid-structure systems in applications such as soft robotics and biomedical implants. | ||
| کلیدواژهها | ||
| Fluid-structure interaction؛ Novozhilov theory؛ Multiple-scale method؛ Hardening and softening behavior | ||
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آمار تعداد مشاهده مقاله: 10 تعداد دریافت فایل اصل مقاله: 5 |
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