Determination of centers of flexure using the boundary element method

The center of flexure of a beam of an arbitrary cross-section can be shown to be given in terms of two harmonic functions which satisfy Neumann type boundary conditions. The problem is thus suitable for solution by the boundary element method. It is shown that the determination of the center of flex...

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Bibliographic Details
Published inEngineering analysis with boundary elements Vol. 12; no. 4; pp. 321 - 324
Main Author Chou, S.I.
Format Journal Article
LanguageEnglish
Published Oxford Elsevier Ltd 1993
Elsevier
Subjects
beams
Boundary element method
centers of flexure
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
harmonic function
Physics
Solid mechanics
Static elasticity
Static elasticity (thermoelasticity...)
Structural and continuum mechanics
beams
harmonic function
Boundary element method
centers of flexure
Bending
Harmonic function
Beam(mechanics)
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Summary:The center of flexure of a beam of an arbitrary cross-section can be shown to be given in terms of two harmonic functions which satisfy Neumann type boundary conditions. The problem is thus suitable for solution by the boundary element method. It is shown that the determination of the center of flexure can be carried out without resorting to area integrals once the values of the two harmonic functions on the boundary are known. Numerical examples are given for: semi-circular ring sections; an equilateral triangular section; and a right triangular section.
ISSN:0955-7997
1873-197X
DOI:10.1016/0955-7997(93)90059-T