Nonlinear Dynamic Modeling and Model Reduction Strategy for Rotating Thin Cylindrical Shells

Nonlinear Dynamic Modeling and Model Reduction Strategy for Rotating Thin Cylindrical Shells

Nonlinear dynamic modeling and model reduction strategy are studied in this paper for a rotating thin cylindrical shell. The nonlinear dynamic model is first established in terms of ordinary differential equations, in which the effects of Coriolis and centrifugal forces are considered, as well as th...

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Main Authors: Shupeng Sun, Lun Liu
Format: Article
Language:English
Published: Hindawi-Wiley 2019-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2019/4536012
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spelling doaj-b5115044924e40b4987d494acaa2d9672020-11-25T00:37:47ZengHindawi-WileyComplexity1076-27871099-05262019-01-01201910.1155/2019/45360124536012Nonlinear Dynamic Modeling and Model Reduction Strategy for Rotating Thin Cylindrical ShellsShupeng Sun0Lun Liu1Institute of Overall Design, Hubei Aerospace Technology Academe, Wuhan 430000, ChinaInstitute of Dynamics and Control Science, Shandong Normal University, Ji’nan 250014, ChinaNonlinear dynamic modeling and model reduction strategy are studied in this paper for a rotating thin cylindrical shell. The nonlinear dynamic model is first established in terms of ordinary differential equations, in which the effects of Coriolis and centrifugal forces are considered, as well as the initial hoop tension due to rotation. This model describes both the in-plane vibrations and the flexural vibration and reflects the coupling effects of those deformations. Based on this original model, a novel model reduction strategy is proposed to reduce the degrees of freedom by neglecting vibration modes predominated by in-plane vibrations. Meanwhile, for the reduced-order model, the in-plane vibrations’ contributions to the rotating shell’s response are still preserved. To validate the dynamic model and the model reduction strategy, comparisons and simulations are carried out. Subsequently, nonlinear dynamic behaviors are investigated preliminarily by analyzing the rotating cylindrical shell’s amplitude-frequency responses under different excitation levels.http://dx.doi.org/10.1155/2019/4536012
collection DOAJ
language English
format Article
sources DOAJ
author Shupeng Sun
Lun Liu
spellingShingle Shupeng Sun
Lun Liu
Nonlinear Dynamic Modeling and Model Reduction Strategy for Rotating Thin Cylindrical Shells
Complexity
author_facet Shupeng Sun
Lun Liu
author_sort Shupeng Sun
title Nonlinear Dynamic Modeling and Model Reduction Strategy for Rotating Thin Cylindrical Shells
title_short Nonlinear Dynamic Modeling and Model Reduction Strategy for Rotating Thin Cylindrical Shells
title_full Nonlinear Dynamic Modeling and Model Reduction Strategy for Rotating Thin Cylindrical Shells
title_fullStr Nonlinear Dynamic Modeling and Model Reduction Strategy for Rotating Thin Cylindrical Shells
title_full_unstemmed Nonlinear Dynamic Modeling and Model Reduction Strategy for Rotating Thin Cylindrical Shells
title_sort nonlinear dynamic modeling and model reduction strategy for rotating thin cylindrical shells
publisher Hindawi-Wiley
series Complexity
issn 1076-2787
1099-0526
publishDate 2019-01-01
description Nonlinear dynamic modeling and model reduction strategy are studied in this paper for a rotating thin cylindrical shell. The nonlinear dynamic model is first established in terms of ordinary differential equations, in which the effects of Coriolis and centrifugal forces are considered, as well as the initial hoop tension due to rotation. This model describes both the in-plane vibrations and the flexural vibration and reflects the coupling effects of those deformations. Based on this original model, a novel model reduction strategy is proposed to reduce the degrees of freedom by neglecting vibration modes predominated by in-plane vibrations. Meanwhile, for the reduced-order model, the in-plane vibrations’ contributions to the rotating shell’s response are still preserved. To validate the dynamic model and the model reduction strategy, comparisons and simulations are carried out. Subsequently, nonlinear dynamic behaviors are investigated preliminarily by analyzing the rotating cylindrical shell’s amplitude-frequency responses under different excitation levels.
url http://dx.doi.org/10.1155/2019/4536012
work_keys_str_mv AT shupengsun nonlineardynamicmodelingandmodelreductionstrategyforrotatingthincylindricalshells
AT lunliu nonlineardynamicmodelingandmodelreductionstrategyforrotatingthincylindricalshells
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