Nonlinear Dynamics of Imperfect FGM Conical Panel
Joint Authors
Zhang, Wei
Yao, Minghui
Niu, Yan
Yang, Shaowu
Hao, Y. X.
Source
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-20, 20 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-02-27
Country of Publication
Egypt
No. of Pages
20
Main Subjects
Abstract EN
Structures composed of functionally graded materials (FGM) can satisfy many rigorous requisitions in engineering application.
In this paper, the nonlinear dynamics of a simply supported FGM conical panel with different forms of initial imperfections are investigated.
The conical panel is subjected to the simple harmonic excitation along the radial direction and the parametric excitation in the meridian direction.
The small initial geometric imperfection of the conical panel is expressed by the form of the Cosine functions.
According to a power-law distribution, the effective material properties are assumed to be graded along the thickness direction.
Based on the first-order shear deformation theory and von Karman type nonlinear geometric relationship, the nonlinear equations of motion are established by using the Hamilton principle.
The nonlinear partial differential governing equations are truncated by Galerkin method to obtain the ordinary differential equations along the radial displacement.
The effects of imperfection types, half-wave numbers of the imperfection, amplitudes of the imperfection, and damping on the dynamic behaviors are studied by numerical simulation.
Maximum Lyapunov exponents, bifurcation diagrams, time histories, phase portraits, and Poincare maps are obtained to show the dynamic responses of the system.
American Psychological Association (APA)
Niu, Yan& Hao, Y. X.& Yao, Minghui& Zhang, Wei& Yang, Shaowu. 2018. Nonlinear Dynamics of Imperfect FGM Conical Panel. Shock and Vibration،Vol. 2018, no. 2018, pp.1-20.
https://search.emarefa.net/detail/BIM-1215240
Modern Language Association (MLA)
Niu, Yan…[et al.]. Nonlinear Dynamics of Imperfect FGM Conical Panel. Shock and Vibration No. 2018 (2018), pp.1-20.
https://search.emarefa.net/detail/BIM-1215240
American Medical Association (AMA)
Niu, Yan& Hao, Y. X.& Yao, Minghui& Zhang, Wei& Yang, Shaowu. Nonlinear Dynamics of Imperfect FGM Conical Panel. Shock and Vibration. 2018. Vol. 2018, no. 2018, pp.1-20.
https://search.emarefa.net/detail/BIM-1215240
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1215240