Dynamic buckling analysis of composite cylindrical shells using a finite element based perturbation method

Abstract

In this paper a finite element formulation of a reduction method for dynamic buckling analysis of imperfection-sensitive shell structures is presented. The reduction method makes use of a perturbation approach, initially developed for static buckling and later extended to dynamic buckling analysis. The implementation of a single-mode dynamic buckling analysis in a general purpose finite element code is described. The effectiveness of the approach is illustrated by application to the dynamic buckling of composite cylindrical shells under axial and radial step loads. Results of the reduction method are compared with results available in the literature. The results are also compared with full model finite element explicit dynamic analysis, and a reasonable agreement is obtained.

Dynamic Stability Analysis of Shells Using a Finite Element Based Reduction Method

“…The approach has been applied in the case of parametric excitation of a composite cylindrical shell, Booton' shell [8] under axial pulsating loading. Typical results are shown in Fig.…”

“…[3][4][5][6][7], which also include literature overviews on this topic. Recently, a perturbation approach has been used as the basis of a reduction method for the finite element dynamic buckling analysis of general shell structures [8]. The implementation of the approach was done within a general purpose finite element code.…”

“…Single-mode dynamic bucking analysis was carried out for unstiffened and ring-stiffened composite cylindrical shells. In the present work, the reduced basis approach developed in [8] will be applied to the analysis of parametric excitation of shells.…”

A modified Newton‐type Koiter‐Newton method for tracing the geometrically nonlinear response of structures

“…The idea of reduced-order modeling technique has been studied intensively in the past across various disciplines following different approaches, ie, the methods for the structural static analysis, [11][12][13][14][15][16] the structural vibration, [17][18][19] the structural dynamics, [20][21][22][23] the fluid mechanics, [24][25][26][27] the aeroelasticity, 28,29 and the optimization. 30,31 In this paper, our work focuses on the structural static analysis, and 2 families of reduced-order modeling techniques implemented in the FE method context can be recognized in this field.…”

Editorial: Special issue on stability of non-linear dynamic structures and systems

“…Rahman et al [8] present a finite element formulation of a reduction method for dynamic buckling analysis of imperfection-sensitive shell structures. The reduction method makes use of a perturbation approach, initially developed for static buckling and later extended to dynamic buckling analysis.…”