Evaluation of non-linear buckling loads of geometrically imperfect composite cylinders and cones with the Ritz method

Castro, Saullo G.P.; Mittelstedt, Christian; Monteiro, Francisco Alex Correia; Degenhardt, Richard; Ziegmann, Gerhard

doi:10.1016/j.compstruct.2014.11.050

Cited by 42 publications

(11 citation statements)

References 35 publications

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“…These cylinders have been applied as benchmark cases of imperfection sensitivity [27,[44][45][46][47]. The ply properties are E 1 ¼123.6 GPa; E 2 ¼ 8:7 GPa; G¼5.7 GPa; ν 12 ¼ 0:32.…”

Section: Imperfection Sensitivity Analysis Of Cylindrical Shellmentioning

confidence: 99%

Imperfection sensitivity analysis of laminated folded plates

Barbero

Madeo

Zagari

et al. 2015

Thin-Walled Structures

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“…These cylinders have been applied as benchmark cases of imperfection sensitivity [27,[44][45][46][47]. The ply properties are E 1 ¼123.6 GPa; E 2 ¼ 8:7 GPa; G¼5.7 GPa; ν 12 ¼ 0:32.…”

Section: Imperfection Sensitivity Analysis Of Cylindrical Shellmentioning

confidence: 99%

Imperfection sensitivity analysis of laminated folded plates

Barbero

Madeo

Zagari

et al. 2015

Thin-Walled Structures

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“…Gaussian quadrature integration is perhaps the most popular solution, already implemented in a freely available Matlab low-loss EELS simulation package 9 . Inspired on this solution, we have implemented a faster, multidimensional version using the freely available cubature Python wrapper [28][29][30] . Simpson-rule method is based on the well-known numerical integration formula, generalized for irregularly-spaced data meshes.…”

Section: A Optimization Of the Relativistic Ddcs Integrationmentioning

confidence: 99%

Design and application of a relativistic Kramers–Kronig analysis algorithm

Eljarrat

Koch

2019

Ultramicroscopy

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Low-loss electron energy loss spectroscopy (EELS) in the scanning transmission electron microscope (STEM) probes the valence electron density and relevant optoelectronic properties such as band gap energies and other band structure transitions. The measured spectra can be formulated in a dielectric theory framework, comparable to optical spectroscopies and ab-initio simulations. Moreover, Kramers-Kronig analysis (KKA), an inverse algorithm based on the homonym relations, can be employed for the retrieval of the complex dielectric function (CDF). However, spurious contributions traditionally not considered in this framework typically impact low-loss EELS modifying the spectral shapes and precluding the correct measurement and retrieval of the dielectric information. A relativistic KKA algorithm is able to account for the bulk and surface radiative-loss contributions to low-loss EELS, revealing the correct dielectric properties. Using a synthetic low-loss EELS model, we propose some modifications on the naive implementation of this algorithm that broadens its range of application. The robustness of the algorithm is improved by regularization, appliying previous knowledge about the shape and smoothness of the correction term. Additionally, our efficient numerical integration methodology allows processing hyperspectral datasets in a reasonable amount of time. Harnessing these abilities, we show how simultaneous relativistic KKA processing of several spectra can share information to produce an improved result. arXiv:1811.07575v1 [cond-mat.mtrl-sci]

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“…Early study on the effect of dimple imperfection on the elastic buckling of axially compressed unstiffened aluminum conical shells was presented by [15]. References on the use of the SPLA imperfection method for conical shells structures can be found in [5], and [16] - [18]. Ref.…”

Section: Introductionmentioning

confidence: 99%

“…Ref. [16] present a semi-analytical study using Ritz method on the non-linear behavior of unstiffened composite cylinders and cones considering initial geometric imperfections and various loads and boundary conditions. A constant perturbation load is applied to the middle of the cone.…”

Section: Introductionmentioning

confidence: 99%

Instability of Conical Shells with Multiple Dimples under Axial Compression

Ifayefunmi¹,

Mahidan²,

Maslan³

2020

IJRTE

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Abstract: Thin-walled conical shells are primary structures in offshore application. Presence of imperfection can considerably reduce the load carrying capacity of such structures when in use. : two perfect, and the remaining six with MPLA imperfection amplitude, A, of 0.56, 1.12 and 1.68 0.91 to 1.13. This study examines the buckling behavior of axially compressed imperfect steel cones using the multiple perturbation load analysis (MPLA). This is both a numerical and experimental study. Eight conical shell test models were manufactured in pairs and collapsed under axial compression having two equally-spaced dimples on each cones. Experimental test results for all the conical shell models and the accompanying numerical predictions are given in this paper. Repeatability of experimental data was good. The errors within each pair were 3%, 13%, 1% and 0%. In addition, there was a good comparison between experimental and numerical data. The ratio of experimental to numerical buckling loads varies from

show abstract

Evaluation of non-linear buckling loads of geometrically imperfect composite cylinders and cones with the Ritz method

Cited by 42 publications

References 35 publications

Imperfection sensitivity analysis of laminated folded plates

Imperfection sensitivity analysis of laminated folded plates

Design and application of a relativistic Kramers–Kronig analysis algorithm

Instability of Conical Shells with Multiple Dimples under Axial Compression

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