Dynamic stability analysis of composite laminated cylindrical shells via the mesh-free kp-Ritz method

K. M. Liew; Y. G. Hu; X. Zhao; T. Y. Ng

doi:10.1016/j.cma.2006.02.007

Dynamic stability analysis of composite laminated cylindrical shells via the mesh-free kp-Ritz method

K. M. Liew, Y. G. Hu, X. Zhao, T. Y. Ng

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

46 Citations (Scopus)

Abstract

In this paper, a novel numerical technique is developed for the dynamic stability analysis of composite laminated cylindrical shells under static and periodic axial forces. The mesh-free kernel particle (kp) estimate is employed in hybridized form with harmonic functions, to approximate the 2-D transverse displacement field. A system of Mathieu-Hill equations is obtained through the application of the Ritz minimization procedure to the energy expressions. The principal instability regions are then analyzed via Bolotin's first approximation. The mesh-free kp-Ritz method is validated through comparison with existing available numerical data taken from open literature. Effects of boundary conditions and lamination schemes on the instability regions are also examined in detail. © 2006 Elsevier B.V. All rights reserved.

Original language	English
Pages (from-to)	147-160
Journal	Computer Methods in Applied Mechanics and Engineering
Volume	196
Issue number	1-3
DOIs	https://doi.org/10.1016/j.cma.2006.02.007
Publication status	Published - 1 Dec 2006

Research Keywords

Bolotin's first approximation
Composite laminate
Cylindrical shell
Dynamic stability
Parametric resonance
Ritz energy minimization

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title = "Dynamic stability analysis of composite laminated cylindrical shells via the mesh-free kp-Ritz method",

abstract = "In this paper, a novel numerical technique is developed for the dynamic stability analysis of composite laminated cylindrical shells under static and periodic axial forces. The mesh-free kernel particle (kp) estimate is employed in hybridized form with harmonic functions, to approximate the 2-D transverse displacement field. A system of Mathieu-Hill equations is obtained through the application of the Ritz minimization procedure to the energy expressions. The principal instability regions are then analyzed via Bolotin's first approximation. The mesh-free kp-Ritz method is validated through comparison with existing available numerical data taken from open literature. Effects of boundary conditions and lamination schemes on the instability regions are also examined in detail. {\textcopyright} 2006 Elsevier B.V. All rights reserved.",

keywords = "Bolotin's first approximation, Composite laminate, Cylindrical shell, Dynamic stability, Parametric resonance, Ritz energy minimization",

author = "Liew, {K. M.} and Hu, {Y. G.} and X. Zhao and Ng, {T. Y.}",

year = "2006",

month = dec,

day = "1",

doi = "10.1016/j.cma.2006.02.007",

language = "English",

volume = "196",

pages = "147--160",

journal = "Computer Methods in Applied Mechanics and Engineering",

issn = "0045-7825",

publisher = "Elsevier B.V.",

number = "1-3",

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TY - JOUR

T1 - Dynamic stability analysis of composite laminated cylindrical shells via the mesh-free kp-Ritz method

AU - Liew, K. M.

AU - Hu, Y. G.

AU - Zhao, X.

AU - Ng, T. Y.

PY - 2006/12/1

Y1 - 2006/12/1

N2 - In this paper, a novel numerical technique is developed for the dynamic stability analysis of composite laminated cylindrical shells under static and periodic axial forces. The mesh-free kernel particle (kp) estimate is employed in hybridized form with harmonic functions, to approximate the 2-D transverse displacement field. A system of Mathieu-Hill equations is obtained through the application of the Ritz minimization procedure to the energy expressions. The principal instability regions are then analyzed via Bolotin's first approximation. The mesh-free kp-Ritz method is validated through comparison with existing available numerical data taken from open literature. Effects of boundary conditions and lamination schemes on the instability regions are also examined in detail. © 2006 Elsevier B.V. All rights reserved.

AB - In this paper, a novel numerical technique is developed for the dynamic stability analysis of composite laminated cylindrical shells under static and periodic axial forces. The mesh-free kernel particle (kp) estimate is employed in hybridized form with harmonic functions, to approximate the 2-D transverse displacement field. A system of Mathieu-Hill equations is obtained through the application of the Ritz minimization procedure to the energy expressions. The principal instability regions are then analyzed via Bolotin's first approximation. The mesh-free kp-Ritz method is validated through comparison with existing available numerical data taken from open literature. Effects of boundary conditions and lamination schemes on the instability regions are also examined in detail. © 2006 Elsevier B.V. All rights reserved.

KW - Bolotin's first approximation

KW - Composite laminate

KW - Cylindrical shell

KW - Dynamic stability

KW - Parametric resonance

KW - Ritz energy minimization

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UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-33846493574&origin=recordpage

UR - https://app-overton-io.ezproxy.cityu.edu.hk/articles.php?query=10.1016/j.cma.2006.02.007

U2 - 10.1016/j.cma.2006.02.007

DO - 10.1016/j.cma.2006.02.007

M3 - RGC 21 - Publication in refereed journal

SN - 0045-7825

VL - 196

SP - 147

EP - 160

JO - Computer Methods in Applied Mechanics and Engineering

JF - Computer Methods in Applied Mechanics and Engineering

IS - 1-3

ER -

Dynamic stability analysis of composite laminated cylindrical shells via the mesh-free kp-Ritz method

Abstract

Research Keywords

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