Nonlinear Dynamic Responses of a Honeycomb Sandwich Plate Subject to Transverse Excitations
Nonlinear dynamic behaviors of a simply supported honeycomb sandwich plate subjected to the transverse excitations are investigated in this paper. Based on the classical thin plate theory and Von Karman large deformation theory, the governing equation of motion for the honeycomb sandwich plate is es...
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2018-01-01
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Series: | MATEC Web of Conferences |
Online Access: | https://doi.org/10.1051/matecconf/201815101003 |
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doaj-5bafaf89d6f14592b0d965fc623a28992021-02-02T07:21:24ZengEDP SciencesMATEC Web of Conferences2261-236X2018-01-011510100310.1051/matecconf/201815101003matecconf_acmae2018_01003Nonlinear Dynamic Responses of a Honeycomb Sandwich Plate Subject to Transverse ExcitationsWang DongmeiZhang WeiYao MinghuiLiu YinliNonlinear dynamic behaviors of a simply supported honeycomb sandwich plate subjected to the transverse excitations are investigated in this paper. Based on the classical thin plate theory and Von Karman large deformation theory, the governing equation of motion for the honeycomb sandwich plate is established by using the Hamilton principle. The nonlinear governing partial differential equation is discretized to the ordinary differential equations by differential quadrature method and then solved by Runge-Kutta-Fehlberg method. Based on the numerical simulations, combined with nonlinear dynamic theory, the influences of the frequency and amplitude of the transverse excitation are investigated respectively by using the bifurcation diagrams, Poincare maps and phase portraits. The results exhibit the existence of the period-1, period-2 and chaotic responses with the variation of the excitations, which demonstrate that those motions appear alternately.https://doi.org/10.1051/matecconf/201815101003 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Wang Dongmei Zhang Wei Yao Minghui Liu Yinli |
spellingShingle |
Wang Dongmei Zhang Wei Yao Minghui Liu Yinli Nonlinear Dynamic Responses of a Honeycomb Sandwich Plate Subject to Transverse Excitations MATEC Web of Conferences |
author_facet |
Wang Dongmei Zhang Wei Yao Minghui Liu Yinli |
author_sort |
Wang Dongmei |
title |
Nonlinear Dynamic Responses of a Honeycomb Sandwich Plate Subject to Transverse Excitations |
title_short |
Nonlinear Dynamic Responses of a Honeycomb Sandwich Plate Subject to Transverse Excitations |
title_full |
Nonlinear Dynamic Responses of a Honeycomb Sandwich Plate Subject to Transverse Excitations |
title_fullStr |
Nonlinear Dynamic Responses of a Honeycomb Sandwich Plate Subject to Transverse Excitations |
title_full_unstemmed |
Nonlinear Dynamic Responses of a Honeycomb Sandwich Plate Subject to Transverse Excitations |
title_sort |
nonlinear dynamic responses of a honeycomb sandwich plate subject to transverse excitations |
publisher |
EDP Sciences |
series |
MATEC Web of Conferences |
issn |
2261-236X |
publishDate |
2018-01-01 |
description |
Nonlinear dynamic behaviors of a simply supported honeycomb sandwich plate subjected to the transverse excitations are investigated in this paper. Based on the classical thin plate theory and Von Karman large deformation theory, the governing equation of motion for the honeycomb sandwich plate is established by using the Hamilton principle. The nonlinear governing partial differential equation is discretized to the ordinary differential equations by differential quadrature method and then solved by Runge-Kutta-Fehlberg method. Based on the numerical simulations, combined with nonlinear dynamic theory, the influences of the frequency and amplitude of the transverse excitation are investigated respectively by using the bifurcation diagrams, Poincare maps and phase portraits. The results exhibit the existence of the period-1, period-2 and chaotic responses with the variation of the excitations, which demonstrate that those motions appear alternately. |
url |
https://doi.org/10.1051/matecconf/201815101003 |
work_keys_str_mv |
AT wangdongmei nonlineardynamicresponsesofahoneycombsandwichplatesubjecttotransverseexcitations AT zhangwei nonlineardynamicresponsesofahoneycombsandwichplatesubjecttotransverseexcitations AT yaominghui nonlineardynamicresponsesofahoneycombsandwichplatesubjecttotransverseexcitations AT liuyinli nonlineardynamicresponsesofahoneycombsandwichplatesubjecttotransverseexcitations |
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1724299567333113856 |