Nonlinear dynamic analysis of eccentrically stiffened imperfect functionally graded doubly curved thin shallow shells

Bich, Dao Huy; Dung, Dao Van; Nam, Vũ Hoài

doi:10.1016/j.compstruct.2012.10.009

Cited by 80 publications

(45 citation statements)

References 21 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…(23,24,26) by Runge-Kutta method and based on Budiansky-Roth criterion, Table 4 shows effects of step size on dynamic critical torsional load. It can be seen that the error reduces with the increase of step number.…”

Section: Dynamic Response Of Es-fgm Cylindrical Shell With and Withoumentioning

confidence: 99%

“…the τ ψ − relation of shells will be studied.For dynamic buckling analysis, consider a cylindrical shell subjected to torsional load linearly varying on time τ=Ct in which C is a loading speed (MPa/s). By using the Runge-Kutta method, the responses of ES-FGM cylindrical shells surrounded by elastic foundation can be determined from coupling governing equations (23),(24) and(26). The dynamic critical time t cr can be obtained according to BudianskyRoth criterion[14,30,35]: Under the action of dynamic load, the deflection of structure increases progressively with the increase of time.…”

mentioning

confidence: 99%

See 1 more Smart Citation

Semi-analytical approach for analyzing the nonlinear dynamic torsional buckling of stiffened functionally graded material circular cylindrical shells surrounded by an elastic medium

Dung

Hoa

2015

Applied Mathematical Modelling

View full text Add to dashboard Cite

Please cite this article as: D.V. Dung, L.K. Hoa, A semi-analytical approach to analyze the nonlinear dynamic torsional buckling of stiffened FGM circular cylindrical shells surrounded by elastic medium, Appl. Math. Modelling (2015), doi: http://dx. Abstract:This research presents a semi-analytical method to analyze the nonlinear dynamic behavior of FGM thin circular cylindrical shells surrounded by elastic foundations and under a time-dependent torsional load. Shell is stiffened by closely spaced orthogonal FGM stiffeners system which is attached to inner surface of shell. An elastic medium is assumed as twoparameter elastic foundation model proposed by Pasternak. Fundamental relations and governing equations for stiffened cylindrical shells are derived by using the Donnell shell theory with von Karman geometrical nonlinearity and the smeared stiffeners technique. Deflection function with three-term taking into account a nonlinear buckling shape, is chosen more correctly. Galerkin method is used. The critical dynamic torsional load is found by using fourth order Runge-Kutta method and Budiansky-Roth criterion. Carrying out some computations, effects of stiffener, foundations, material and dimensional parameters on the dynamic buckling behavior of shell have been studied.

show abstract

Section: Dynamic Response Of Es-fgm Cylindrical Shell With and Withoumentioning

confidence: 99%

mentioning

confidence: 99%

Semi-analytical approach for analyzing the nonlinear dynamic torsional buckling of stiffened functionally graded material circular cylindrical shells surrounded by an elastic medium

Dung

Hoa

2015

Applied Mathematical Modelling

View full text Add to dashboard Cite

show abstract

“…Dynamic loading has a significant effect on the design life and efficiency of structures [1][2][3][4]. In particular, for thin-walled shell structures used in aircraft construction, building construction [5,6] and other industrial fields, dynamic loading may lead to a loss of stability (significant sudden increase in deflection with a small change in the applied load).…”

Section: Introduction and Formulation Of The Problemmentioning

confidence: 99%

Stability of cylindrical shell panels of modern materials under dynamic loading

Semenov¹

2017

AIP Conference Proceedings

View full text Add to dashboard Cite

“…Recently, Shen and Wang [11,12] studied the effects of elastic foundations on the nonlinear bending and postbuckling of FGM cylindrical panels utilizing a semi-analytical approach. Effects of stiffeners on the nonlinear static and dynamic responses of thin FGM cylindrical and doubly curved panels without elastic foundations have been analyzed by Bich et al [13,14] on the basis of thin shell theory. These works are then extended by Duc and Quan [15,16] for case of thin and curved FGM panels resting on elastic foundations and exposed to thermal environments.…”

Section: Introductionmentioning

confidence: 99%

Postbuckling of thick FGM cylindrical panels with tangential edge constraints and temperature dependent properties

Tung

2016

Vietnam J. Mech.

View full text Add to dashboard Cite

Abstract. This paper investigates postbuckling behavior of thick FGM cylindrical panels resting on elastic foundations and subjected to thermal, mechanical and thermomechanical loading conditions. Material properties are assumed to be temperature dependent, and graded in the thickness direction according to a simple power law distribution in terms of the volume fractions of constituents. Governing equations are based on higher order shear deformation shell theory incorporating von Karman-Donnell geometrical nonlinearity, initial geometrical imperfection, tangential edge constraints and Pasternak type elastic foundations. Approximate solutions are assumed to satisfy simply supported boundary conditions and Galerkin procedure is applied to derive expressions of buckling loads and load-deflection relations. In thermal postbuckling analysis, an iteration algorithm is employed to determine critical buckling temperatures and postbuckling temperaturedeflection equilibrium paths. The separate and simultaneous effects of tangential edge restraints, elastic foundations and temperature dependence of material properties on the buckling and postbuckling responses of higher order shear deformable FGM cylindrical panels are analyzed and discussed.

show abstract

Nonlinear dynamic analysis of eccentrically stiffened imperfect functionally graded doubly curved thin shallow shells

Cited by 80 publications

References 21 publications

Semi-analytical approach for analyzing the nonlinear dynamic torsional buckling of stiffened functionally graded material circular cylindrical shells surrounded by an elastic medium

Semi-analytical approach for analyzing the nonlinear dynamic torsional buckling of stiffened functionally graded material circular cylindrical shells surrounded by an elastic medium

Stability of cylindrical shell panels of modern materials under dynamic loading

Postbuckling of thick FGM cylindrical panels with tangential edge constraints and temperature dependent properties

Contact Info

Product

Resources

About