Discontinuities in the Sensitivity Curves of Laminated Cylindrical Shells

2004 ◽  
Vol 71 (3) ◽  
pp. 418-420 ◽  
Author(s):  
Yiska Goldfeld ◽  
Izhak Sheinman
Keyword(s):  
Parametric Study ◽  
General Procedure ◽  
Cylindrical Shells ◽  
Buckling Analysis ◽  
Wave Number ◽  
Sensitivity Curves ◽  
Post Buckling ◽  
Circumferential Wave ◽  
Laminated Cylindrical Shells

The discontinuity in the sensitivity of laminated cylindrical shells is investigated via the initial post-buckling analysis. A general procedure for sensitivity, based on Koiter’s parameters and using the Donnell and Sanders shell theories, is developed and used for parametric study of the discontinuity phenomenon. It was found that the discontinuity occurs at points of change of the circumferential wave number.

An hp-version adaptive finite element algorithm for eigensolutions of moderately thick circular cylindrical shells via error homogenisation and higher-order interpolation

2021 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Yongliang Wang ◽  
Jianhui Wang
Keyword(s):  
Finite Element ◽  
Free Vibration ◽  
Cylindrical Shells ◽  
Higher Order ◽  
Wave Number ◽  
Adaptive Finite Element ◽  
Content Type ◽  
Circular Cylindrical Shells ◽  
Geometrical Factors ◽  
Circumferential Wave

PurposeThis study presents a novel hp-version adaptive finite element method (FEM) to investigate the high-precision eigensolutions of the free vibration of moderately thick circular cylindrical shells, involving the issues of variable geometrical factors, such as the thickness, circumferential wave number, radius and length.Design/methodology/approachAn hp-version adaptive finite element (FE) algorithm is proposed for determining the eigensolutions of the free vibration of moderately thick circular cylindrical shells via error homogenisation and higher-order interpolation. This algorithm first develops the established h-version mesh refinement method for detecting the non-uniform distributed optimised meshes, where the error estimation and element subdivision approaches based on the superconvergent patch recovery displacement method are introduced to obtain high-precision solutions. The errors in the vibration mode solutions in the global space domain are homogenised and approximately the same. Subsequently, on the refined meshes, the algorithm uses higher-order shape functions for the interpolation of trial displacement functions to reduce the errors quickly, until the solution meets a pre-specified error tolerance condition. In this algorithm, the non-uniform mesh generation and higher-order interpolation of shape functions are suitable for addressing the problem of complex frequencies and modes caused by variable structural geometries.FindingsNumerical results are presented for moderately thick circular cylindrical shells with different geometrical factors (circumferential wave number, thickness-to-radius ratio, thickness-to-length ratio) to demonstrate the effectiveness, accuracy and reliability of the proposed method. The hp-version refinement uses fewer optimised meshes than h-version mesh refinement, and only one-step interpolation of the higher-order shape function yields the eigensolutions satisfying the accuracy requirement.Originality/valueThe proposed combination of methodologies provides a complete hp-version adaptive FEM for analysing the free vibration of moderately thick circular cylindrical shells. This algorithm can be extended to general eigenproblems and geometric forms of structures to solve for the frequency and mode quickly and efficiently.

Post-Buckling Analysis of Cylindrical Shells

1978 ◽  
Vol 104 (4) ◽  
pp. 751-762
Author(s):  
Ömer K. Kiciman ◽  
Egor P. Popov
Keyword(s):  
Cylindrical Shells ◽  
Buckling Analysis ◽  
Post Buckling

Post-buckling analysis of GPLs reinforced porous cylindrical shells under axial compression and hydrostatic pressure

2022 ◽  
Vol 172 ◽  
pp. 108834
Author(s):  
Guangxin Sun ◽  
Shengbo Zhu ◽  
Rumin Teng ◽  
Jiabin Sun ◽  
Zhenhuan Zhou ◽  
...  
Keyword(s):  
Hydrostatic Pressure ◽  
Axial Compression ◽  
Cylindrical Shells ◽  
Buckling Analysis ◽  
Post Buckling
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