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Dynamic Modeling and Experimental Study of a Hyperelastic Cylindrical Shell for Vibration Reduction Using a History-Driven Incremental Iteration Method.

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Title: Dynamic Modeling and Experimental Study of a Hyperelastic Cylindrical Shell for Vibration Reduction Using a History-Driven Incremental Iteration Method.
Authors: Liu, Zedong1,2 (AUTHOR), Yang, Chengliang1,2 (AUTHOR) chengliangyang@ciomp.ac.cn, Su, Ping1 (AUTHOR), Peng, Zenghui1,2 (AUTHOR), Liu, Yonggang1,2 (AUTHOR), Wang, Qidong1,2 (AUTHOR), Diao, Zhihui1,2 (AUTHOR), Li, Dayu1,2 (AUTHOR), Jiang, Yang1,2 (AUTHOR), Lu, Xinghai1 (AUTHOR), Mu, Quanquan1,2 (AUTHOR) muquanquan@ciomp.ac.cn
Source: International Journal of Structural Stability & Dynamics. 5/15/2026, Vol. 26 Issue 10, p1-22. 22p.
Subjects: Cylindrical shells, Dynamic stiffness, Frequency response, Dynamic models, Vibration (Mechanics), Vibration isolation, Damping (Mechanics), Iterative methods (Mathematics)
Abstract: This paper presents an equivalent mechanical model for hyperelastic cylindrical shell (HCS) structures, developed using a history-driven incremental iteration method to clarify the influence of external excitation on their frequency response function under dynamic loading. The approach, grounded in the conventional linear vibration mechanics framework, iteratively integrates dynamic characteristic changes resulting from unit deformations along their historical evolution, thereby transforming continuous nonlinear variations into discrete linear increments. In combination with a sine-sweep vibration experiment, the variation trends of equivalent dynamic stiffness and damping with displacement amplitude at different excitation levels were determined, clarifying the excitation-induced mechanisms affecting the frequency response of HCS structures. The results showed that, under resonance conditions, increasing the excitation amplitude from 1.5 g to 3.5 g raised the displacement amplitude from 0.84 mm to 3.08 mm. Concurrently, the equivalent dynamic stiffness decreased from 4.38 kN/m to 2.86 kN/m, while the equivalent dynamic damping decreased from 3. 1 5 N ⋅ s / m to 2. 7 1 N ⋅ s / m. This reduction in stiffness and damping caused the HCS structure to enter resonance and vibration–isolation states earlier, completing the phase transition within a narrower frequency range in the sharp phase-transition region. Clarifying these mechanisms promotes a shift in hyperelastic shell design from empirical trial-and-error methods to model-driven approaches, thereby supporting the broader application of hyperelastic shell structures in vibration engineering. [ABSTRACT FROM AUTHOR]
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Database: Engineering Source
Description
Abstract:This paper presents an equivalent mechanical model for hyperelastic cylindrical shell (HCS) structures, developed using a history-driven incremental iteration method to clarify the influence of external excitation on their frequency response function under dynamic loading. The approach, grounded in the conventional linear vibration mechanics framework, iteratively integrates dynamic characteristic changes resulting from unit deformations along their historical evolution, thereby transforming continuous nonlinear variations into discrete linear increments. In combination with a sine-sweep vibration experiment, the variation trends of equivalent dynamic stiffness and damping with displacement amplitude at different excitation levels were determined, clarifying the excitation-induced mechanisms affecting the frequency response of HCS structures. The results showed that, under resonance conditions, increasing the excitation amplitude from 1.5 g to 3.5 g raised the displacement amplitude from 0.84 mm to 3.08 mm. Concurrently, the equivalent dynamic stiffness decreased from 4.38 kN/m to 2.86 kN/m, while the equivalent dynamic damping decreased from 3. 1 5 N ⋅ s / m to 2. 7 1 N ⋅ s / m. This reduction in stiffness and damping caused the HCS structure to enter resonance and vibration–isolation states earlier, completing the phase transition within a narrower frequency range in the sharp phase-transition region. Clarifying these mechanisms promotes a shift in hyperelastic shell design from empirical trial-and-error methods to model-driven approaches, thereby supporting the broader application of hyperelastic shell structures in vibration engineering. [ABSTRACT FROM AUTHOR]
ISSN:02194554
DOI:10.1142/S0219455427502877