Asymmetric vibrations and chaos in spherical caps under uniform time-varying pressure fields

被引：0
|
作者：
Giovanni Iarriccio
Antonio Zippo
Francesco Pellicano
机构：
[1] University of Modena and Reggio Emilia,
[2] InterMech MoRe Centre,undefined
来源：
Nonlinear Dynamics | 2022年 / 107卷
关键词：
Shells; Spherical caps; Vibrations; Bifurcation; Chaos;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper presents a study on nonlinear asymmetric vibrations in shallow spherical caps under pressure loading. The Novozhilov’s nonlinear shell theory is used for modeling the structural strains. A reduced-order model is developed through the Rayleigh–Ritz method and Lagrange equations. The equations of motion are numerically integrated using an implicit solver. The bifurcation scenario is addressed by varying the external excitation frequency. The occurrence of asymmetric vibrations related to quasiperiodic and chaotic motion is shown through the analysis of time histories, spectra, Poincaré maps, and phase planes.
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页码：313 / 329
页数：16
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