Out-of-plane behavior of curved beams: Exact solution

Ekrem Tüfekçi

doi:10.2514/6.2001-1405

Out-of-plane behavior of curved beams: Exact solution

Ekrem Tüfekçi^*

^*Corresponding author for this work

Department of Mechanical Engineering

Research output: Contribution to conference › Paper › peer-review

1 Citation (Scopus)

Abstract

The governing differential equations of out-of-plane deformation for a planar curved beam with variable curvature and cross-section are solved exactly by using the initial value method. The differential equations include the shear deformation effect. The analytical expressions of the elements of the fundamental matrix are obtained for a general case. The inverse of the fundamental matrix is given for a parabolic beam with variable cross-section. It is also possible to use these analytical expressions in order to obtain the results for a curved beam with any loading and boundary conditions. The results can be obtained for a curved beam carrying any distributed loads. Examples in the literature are solved and the results obtained in this study are compared with those.

Original language	English
DOIs	https://doi.org/10.2514/6.2001-1405
Publication status	Published - 2001
Event	19th AIAA Applied Aerodynamics Conference 2001 - Anaheim, CA, United States Duration: 11 Jun 2001 → 14 Jun 2001

Conference

Conference	19th AIAA Applied Aerodynamics Conference 2001
Country/Territory	United States
City	Anaheim, CA
Period	11/06/01 → 14/06/01

Access to Document

10.2514/6.2001-1405

Cite this

@conference{21829879edf4418c821074480ad608f5,

title = "Out-of-plane behavior of curved beams: Exact solution",

abstract = "The governing differential equations of out-of-plane deformation for a planar curved beam with variable curvature and cross-section are solved exactly by using the initial value method. The differential equations include the shear deformation effect. The analytical expressions of the elements of the fundamental matrix are obtained for a general case. The inverse of the fundamental matrix is given for a parabolic beam with variable cross-section. It is also possible to use these analytical expressions in order to obtain the results for a curved beam with any loading and boundary conditions. The results can be obtained for a curved beam carrying any distributed loads. Examples in the literature are solved and the results obtained in this study are compared with those.",

author = "Ekrem T{\"u}fek{\c c}i",

year = "2001",

doi = "10.2514/6.2001-1405",

language = "English",

note = "19th AIAA Applied Aerodynamics Conference 2001 ; Conference date: 11-06-2001 Through 14-06-2001",

}

TY - CONF

T1 - Out-of-plane behavior of curved beams

T2 - 19th AIAA Applied Aerodynamics Conference 2001

AU - Tüfekçi, Ekrem

PY - 2001

Y1 - 2001

N2 - The governing differential equations of out-of-plane deformation for a planar curved beam with variable curvature and cross-section are solved exactly by using the initial value method. The differential equations include the shear deformation effect. The analytical expressions of the elements of the fundamental matrix are obtained for a general case. The inverse of the fundamental matrix is given for a parabolic beam with variable cross-section. It is also possible to use these analytical expressions in order to obtain the results for a curved beam with any loading and boundary conditions. The results can be obtained for a curved beam carrying any distributed loads. Examples in the literature are solved and the results obtained in this study are compared with those.

AB - The governing differential equations of out-of-plane deformation for a planar curved beam with variable curvature and cross-section are solved exactly by using the initial value method. The differential equations include the shear deformation effect. The analytical expressions of the elements of the fundamental matrix are obtained for a general case. The inverse of the fundamental matrix is given for a parabolic beam with variable cross-section. It is also possible to use these analytical expressions in order to obtain the results for a curved beam with any loading and boundary conditions. The results can be obtained for a curved beam carrying any distributed loads. Examples in the literature are solved and the results obtained in this study are compared with those.

UR - http://www.scopus.com/inward/record.url?scp=85215018955&partnerID=8YFLogxK

U2 - 10.2514/6.2001-1405

DO - 10.2514/6.2001-1405

M3 - Paper

AN - SCOPUS:85215018955

Y2 - 11 June 2001 through 14 June 2001

ER -

Out-of-plane behavior of curved beams: Exact solution

Abstract

Conference

Access to Document

Other files and links

Fingerprint

Cite this