Numerical modeling of the stability of parametric vibrations of a high thin-wall shell of negative Gaussian curvature

Lukianchenko, Olga; Paliy, O M

doi:10.32347/2410-2547.2018.101.45-59

Cited by 2 publications

(3 citation statements)

References 1 publication

Supporting

Mentioning

Contrasting

Order By: Relevance

“…A significant part of theoretical and experimental studies is devoted to the composite "cylinder-cone" type structures with zero Gaussian curvature [1,3,4,12,13]. Recently, the researchers have paid special attention to the problems of the compound shell structures' stability with the positive [5][6][7]14] and the negative [2,9,11] Gaussian curvature. As for the visualization of buckling modes of shell structures, a reference should be made to [8,11,12,14].…”

Section: космічні матеріали та технологіїmentioning

confidence: 99%

“…Recently, the researchers have paid special attention to the problems of the compound shell structures' stability with the positive [5][6][7]14] and the negative [2,9,11] Gaussian curvature. As for the visualization of buckling modes of shell structures, a reference should be made to [8,11,12,14].…”

Section: космічні матеріали та технологіїmentioning

confidence: 99%

See 1 more Smart Citation

The influence of the Gaussian curvature sign of the compound shell structure’s middle surface on local and overall buckling under combined loading

Gristchak¹,

Hryshchak²,

Dyachenko³

et al. 2022

Kosm. nauka tehnol.

View full text Add to dashboard Cite

The buckling problem of an elastic compound shell structure with a variable Gaussian curvature of the middle surface, especially the middle surface meridian curvature sign, under the action of external pressure and axial loading is considered. In continuation of the previous research of the authors, this paper is devoted, in particular, to examining the influence of the negative Gaussian curvature sign of one of its compartments on stability. The solution is based on using the method of finite differences for basic stability equations of each compartment in the case when one of them can have a negative curvature of the meridian, taking into account the discreteness of the intermediate rib location and their rigidity from the initial curvature plane as well. The obtained solution allows visualizing the buckling modes under various combinations of external loading and identifying rational, according to overall buckling modes, geometric and rigidity parameters of the system being investigated.

show abstract

Section: космічні матеріали та технологіїmentioning

confidence: 99%

Section: космічні матеріали та технологіїmentioning

confidence: 99%

The influence of the Gaussian curvature sign of the compound shell structure’s middle surface on local and overall buckling under combined loading

Gristchak¹,

Hryshchak²,

Dyachenko³

et al. 2022

Kosm. nauka tehnol.

View full text Add to dashboard Cite

show abstract

“…It is known that the presence of small shape imperfections of thin-walled shells, which arise in the process of their manufacture, transportation and operation, can significantly reduce the critical value of static or dynamic buckling load and lead to emergency situations [1][2][3][4][5][6][7][8][9][10][11][12][13][14]. In the articles [7][8][9][10][11][12][13], the authors presented a numerical technique that made it possible to estimate the effect of geometric imperfections of cylindrical shells on their bearing capacity under static loads. The first bifurcation mode as a model of shell imperfections under the action of one type of load (surface pressure, axial compression) was taken.…”

mentioning

confidence: 99%

Choice of the shape imperfections model in dynamics problems of a long flexible cylindrical shell subjected to force couples

Lukianchenko,

Geraschenko,

Kostina

et al. 2023

OMTC

View full text Add to dashboard Cite

The issue of modeling geometrical imperfections in the dynamics problems of thin-walled shells was little researched. In cases when the natural modes of shell coincided with its buckling modes, the issue of choosing a dangerous imperfection model did not arise. When these shell modes did not coincide, it was important to investigate and compare the effect of different imperfections models on the static and dynamic characteristics of such shells. The choosing the shape imperfections model of a long flexible cylindrical shell subjected to force couples, the natural and buckling modes of which did not coincide, was studied using procedures of the finite element analysis software NASTRAN. The shell wall as a set of plat rectangular elements with six degrees of freedom at the node in the cylindrical coordinate system was modeled. The action of force couples as the concentrated forces were distributed at the nodes of the shell edges in accordance to the presentation of A.S. Volmir. The linear buckling problem and the geometrical nonlinear static analysis of the perfect shell by the Lanzosh method and the Newton-Raphson one were performed, respectively. The long half-waves buckling mode was taken as the first shell imperfections model. The modeling of the second shape imperfections as the first natural mode of the perfect shell using the natural vibration analysis by the Lanzosh method was performed. The different amplitudes of geometrical imperfections in proportion to the shell thickness using a program adapted to this software were set. The results of the geometrical nonlinear static analysis of the imperfect shell by the Newton-Raphson method showed that the shape imperfection model in the form of long half-waves more reduced the values of critical buckling loads. Investigations of natural shell vibrations by the Lanzosh method revealed the same influence of different imperfections models on the natural frequencies and natural forms. We think that the shape imperfections model in the form of long half-waves in studies of forced vibrations and dynamic stability of a long flexible cylindrical shell subjected to force couples will be more effective.

show abstract

Numerical modeling of the stability of parametric vibrations of a high thin-wall shell of negative Gaussian curvature

Cited by 2 publications

References 1 publication

The influence of the Gaussian curvature sign of the compound shell structure’s middle surface on local and overall buckling under combined loading

The influence of the Gaussian curvature sign of the compound shell structure’s middle surface on local and overall buckling under combined loading

Choice of the shape imperfections model in dynamics problems of a long flexible cylindrical shell subjected to force couples

Contact Info

Product

Resources

About