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Free Vibrations and Nonlinear Responses for a Cantilever Honeycomb Sandwich Plate
Joint Authors
Zhang, Wei
Zhang, J. H.
Yang, Xiao-Dong
Source
Advances in Materials Science and Engineering
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-03-06
Country of Publication
Egypt
No. of Pages
12
Abstract EN
Dynamics of a cantilever honeycomb sandwich plate are studied in this paper.
The governing equations of the composite plate subjected to both in-plane and transverse excitations are derived by using Hamilton’s principle and Reddy’s third-order shear deformation theory.
Based on the Rayleigh–Ritz method, some modes of natural frequencies for the cantilever honeycomb sandwich plate are obtained.
The relations between the natural frequencies and the parameters of the plate are investigated.
Further, the Galerkin method is used to transform the nonlinear partial differential equations into a set of nonlinear ordinary differential equations.
Nonlinear dynamic responses of the cantilever honeycomb sandwich plate to such external and parametric excitations are discussed by using the numerical method.
The results show that in-plane and transverse excitations have an important influence on nonlinear dynamic characteristics.
Rich dynamics, such as periodic, multiperiodic, quasiperiodic, and chaotic motions, are located and studied by the bifurcation diagram for some specific parameters.
American Psychological Association (APA)
Zhang, J. H.& Yang, Xiao-Dong& Zhang, Wei. 2018. Free Vibrations and Nonlinear Responses for a Cantilever Honeycomb Sandwich Plate. Advances in Materials Science and Engineering،Vol. 2018, no. 2018, pp.1-12.
https://search.emarefa.net/detail/BIM-1121912
Modern Language Association (MLA)
Zhang, J. H.…[et al.]. Free Vibrations and Nonlinear Responses for a Cantilever Honeycomb Sandwich Plate. Advances in Materials Science and Engineering No. 2018 (2018), pp.1-12.
https://search.emarefa.net/detail/BIM-1121912
American Medical Association (AMA)
Zhang, J. H.& Yang, Xiao-Dong& Zhang, Wei. Free Vibrations and Nonlinear Responses for a Cantilever Honeycomb Sandwich Plate. Advances in Materials Science and Engineering. 2018. Vol. 2018, no. 2018, pp.1-12.
https://search.emarefa.net/detail/BIM-1121912
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1121912