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172224

Nodal Line Finite Difference Method for the Analysis of Circular Cylindrical Shells.

Article

Last updated: 04 Jan 2025

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Subjects

-

Tags

Civil Engineering

Abstract

In the present work, analysis of simply supported thin elastic circular cylindrical shells via the Author's nodal line finite difference method is presented. The analysis starts with the accurate derivation of the three governing partial differential equations without any simplifications or assumptions that affect the generality of these equations. The method requires the division of the shell into a mesh of parallel fictitious nodal lines in the longitudinal direction simple trigonometric basic functions having uncoupling property are used to express the displacement components variation along the nodal lines.
Consequently, three ordinary differential equations are derived and cost into three simultaneous nodal line difference equations.
The final matrix of these difference equations is a square banded matrix with small half band width which reduces, to a great extent, the core storage and the time of computations. The results obtained are compared with those from analytical solutions and the comparison demonstrated a close agreement.

DOI

10.21608/bfemu.2021.172224

Authors

First Name

Youssef

Last Name

Agag

MiddleName

-

Affiliation

Associate Professor of Structural Engineering Department, Faculty of Engineering, Mansoura University, Mansoura, Egypt.

Email

yagag@mans.edu.eg

City

Mansoura

Orcid

-

Volume

14

Article Issue

2

Related Issue

24981

Issue Date

1989-12-01

Receive Date

1989-10-11

Publish Date

2021-05-25

Page Start

39

Page End

51

Print ISSN

1110-0923

Online ISSN

2735-4202

Article File

BFEMU_Volume 14_Issue 2_Pages 39-51.pdf

PDF . 1.0MB

Link

https://bfemu.journals.ekb.eg/article_172224.html

Detail API

https://bfemu.journals.ekb.eg/service?article_code=172224

Order

4

Type

Research Studies

Type Code

1,205

Publication Type

Journal

Publication Title

MEJ. Mansoura Engineering Journal

Publication Link

https://bfemu.journals.ekb.eg/

MainTitle

Nodal Line Finite Difference Method for the Analysis of Circular Cylindrical Shells.

Details

Type

Article

Created At

22 Jan 2023