Coupled approximate long and short solutions versus exact Navier and Galerkin ones for cylindrical shell under radial load

Оrynyak, І. V.; Bai, Yulia

doi:10.1016/j.tws.2021.108536

Cited by 4 publications

(4 citation statements)

References 19 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…First one, EFBGM, where trial functions employ exponential functions. As in work [17] it leads to superior accuracy, is very effective and can be applied to treatments of differential equations of very different task. As to the beam functions based GM, it is reliable method, but, in spite of very wide application, it still is inferior to EFBGM.…”

Section: Discussionmentioning

confidence: 99%

“…Their application is described in details in works [15][16][17]. Introduce the following designations for exponential functions: ( ) ( )…”

Section: Exponential Functionsmentioning

confidence: 99%

“…From other hand, the principally new family of trial functions were suggested by present authors in works [15][16][17] where the specially constructed exponential functions, EF, were successfully applied in Galerkin method for various structural mechanics problems. Remind that Galerkin method is a special kind of WRM, where the weight functions coincide with trial ones [3].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Applications of randomly selected sets of exact Voight's solutions for vibration of thin plates

Оrynyak¹,

Bai

Kostiushko³

2022

Mech. Adv. Technol.

View full text Add to dashboard Cite

The principally new method of selected exact solutions, SES, for plate vibration based on fundamental solutions of Voigt is suggested. In contrast to similar known methods, it employs the frequency dependent functions for both space coordinates. The sets of exact solutions which depends on some arbitrary chosen parameters are constructed. This allows to choose any number of exact solutions, while the required number of them depends on the boundary conditions which should satisfy in considered collocation points. The efficiency of method is demonstrated for the most unfavorable case of all sides clamped rectangular plate. Nevertheless, the accuracy is quite satisfactory for first six natural frequencies even for relatively small number of collocation boundary points, and testify about big prospects as to application for complex structures, different geometries, various boundary conditions. Additionally two variants of the Galerkin method are realized and compared. First one, employs the exponential functions, while the second one –the very popular beam functions. The calculation results show the superiority of first variant as in technical realization as in accuracy, and in further applications in structural mechanics.

show abstract

Section: Discussionmentioning

confidence: 99%

“…Their application is described in details in works [15][16][17]. Introduce the following designations for exponential functions: ( ) ( )…”

Section: Exponential Functionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Applications of randomly selected sets of exact Voight's solutions for vibration of thin plates

Оrynyak¹,

Bai

Kostiushko³

2022

Mech. Adv. Technol.

View full text Add to dashboard Cite

show abstract

“…During the fitting process, external loads are transferred through the press ring, the shaped ridges are compressed on the sealing surface of the pipe and partially press into the pipe surface, creating a form-fit [31] sealing condition. The geometries can be idealized as 2D axisymmetric thin-walled cylinders [32] and the membrane theory of symmetrically loaded cylinders based on Kirchhoff's hypothesis [33] is applicable. The internal forces can be solved by the physical relations between stress and strain, the differential equations of the deflections, and the relations between strain and displacement.…”

Section: Analytical Model Of the Fitting Processmentioning

confidence: 99%

A Semi-Analytical Method for the Sealing Performance Prediction of Subsea Pipeline Compression Connector

Wang

Yao

et al. 2023

JMSE

View full text Add to dashboard Cite

To predict the sealing performance of the subsea pipeline compression connector, a semi-analytical method is proposed and verified. The leakage condition is obtained as a function of the minimum radial deflection. The semi-analytical method consists of three parts: a macroscopic analytical model for the interference process deduced based on the membrane theory, a mesoscopic two-dimensional finite element analysis of the internally turned sealing surface according to scanning electron microscope observation, and a formulation of the leakage ratio according to the Abbott–Firestone curve. The influences of the geometry parameters are analyzed. The prediction and identification of the leakage condition near the minimum preloaded deflection are investigated. Experimental tests are also carried out to verify the proposed method. The results show that, within five times the pipeline threshold of the thin wall thickness, compression connectors designed by the proposed method can create a reliable seal with a rough internally turned surface, saving 57% of the design time while reducing the machining time and costs.

show abstract

Galerkin boundary method for static analysis of single thin mitered bend

Yudin,

Orynyak,

Radchenko

2024

International Journal of Mechanical Sciences

View full text Add to dashboard Cite

Coupled approximate long and short solutions versus exact Navier and Galerkin ones for cylindrical shell under radial load

Cited by 4 publications

References 19 publications

Applications of randomly selected sets of exact Voight's solutions for vibration of thin plates

Applications of randomly selected sets of exact Voight's solutions for vibration of thin plates

A Semi-Analytical Method for the Sealing Performance Prediction of Subsea Pipeline Compression Connector

Galerkin boundary method for static analysis of single thin mitered bend

Contact Info

Product

Resources

About