Seminumerical solution to bending of sector plates and curved slabs of variable stiffness

I. E. Harik; Ya nan Fang

doi:10.1016/0045-7949(92)90085-E

Seminumerical solution to bending of sector plates and curved slabs of variable stiffness

I. E. Harik, Ya nan Fang

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

This study extends the application of the semianalytical or seminumerical method of solution to bending annular sectors with varying rigidities. Basic functions in the angular direction are assumed to take the form of eigenfunctions for vibrating beams. The classical method of separation of variables is employed, and a single trigonometric series representation is assumed for the deflection and loading functions. An ordinary differential equation is derived and solved numerically by a one-dimensional finite difference technique. The method is applied to sector plates with linearly and nonlinearly varying thickness, and for a different edge and loading conditions.

Original language	English
Pages (from-to)	113-123
Number of pages	11
Journal	Computers and Structures
Volume	43
Issue number	1
DOIs	https://doi.org/10.1016/0045-7949(92)90085-E
State	Published - Apr 3 1992

ASJC Scopus subject areas

Civil and Structural Engineering
Modeling and Simulation
General Materials Science
Mechanical Engineering
Computer Science Applications

Access to Document

10.1016/0045-7949(92)90085-E

Cite this

@article{58bdc508121646bda56054aca5398117,

title = "Seminumerical solution to bending of sector plates and curved slabs of variable stiffness",

abstract = "This study extends the application of the semianalytical or seminumerical method of solution to bending annular sectors with varying rigidities. Basic functions in the angular direction are assumed to take the form of eigenfunctions for vibrating beams. The classical method of separation of variables is employed, and a single trigonometric series representation is assumed for the deflection and loading functions. An ordinary differential equation is derived and solved numerically by a one-dimensional finite difference technique. The method is applied to sector plates with linearly and nonlinearly varying thickness, and for a different edge and loading conditions.",

author = "Harik, {I. E.} and Fang, {Ya nan}",

year = "1992",

month = apr,

day = "3",

doi = "10.1016/0045-7949(92)90085-E",

language = "English",

volume = "43",

pages = "113--123",

number = "1",

}

TY - JOUR

T1 - Seminumerical solution to bending of sector plates and curved slabs of variable stiffness

AU - Harik, I. E.

AU - Fang, Ya nan

PY - 1992/4/3

Y1 - 1992/4/3

N2 - This study extends the application of the semianalytical or seminumerical method of solution to bending annular sectors with varying rigidities. Basic functions in the angular direction are assumed to take the form of eigenfunctions for vibrating beams. The classical method of separation of variables is employed, and a single trigonometric series representation is assumed for the deflection and loading functions. An ordinary differential equation is derived and solved numerically by a one-dimensional finite difference technique. The method is applied to sector plates with linearly and nonlinearly varying thickness, and for a different edge and loading conditions.

AB - This study extends the application of the semianalytical or seminumerical method of solution to bending annular sectors with varying rigidities. Basic functions in the angular direction are assumed to take the form of eigenfunctions for vibrating beams. The classical method of separation of variables is employed, and a single trigonometric series representation is assumed for the deflection and loading functions. An ordinary differential equation is derived and solved numerically by a one-dimensional finite difference technique. The method is applied to sector plates with linearly and nonlinearly varying thickness, and for a different edge and loading conditions.

UR - http://www.scopus.com/inward/record.url?scp=0027110402&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0027110402&partnerID=8YFLogxK

U2 - 10.1016/0045-7949(92)90085-E

DO - 10.1016/0045-7949(92)90085-E

M3 - Article

AN - SCOPUS:0027110402

SN - 0045-7949

VL - 43

SP - 113

EP - 123

JO - Computers and Structures

JF - Computers and Structures

IS - 1

ER -

Seminumerical solution to bending of sector plates and curved slabs of variable stiffness

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this