Finite element solution to an elastica problem of beams

Yasuo Tada; George C. Lee

doi:10.1002/nme.1620020208

Finite element solution to an elastica problem of beams

Yasuo Tada
, George C. Lee

Department of Civil, Structural & Environmental Engineering

Japan Aerospace Exploration Agency

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

37 Scopus citations

Abstract

In this study, finite element solution procedures are developed for an elastica problem of inextensible beams. The element stiffness matrices are obtained by using Galerkin's method. Results of a numerical example compare reasonably well with those obtained by using the elliptical integral. Extensions of this research are currently being made to include membrane effects of beams and to develop plate element stiffness matrices for elastica problems of plate structures.

Original language	English
Pages (from-to)	229-241
Number of pages	13
Journal	International Journal for Numerical Methods in Engineering
Volume	2
Issue number	2
DOIs	https://doi.org/10.1002/nme.1620020208
State	Published - 1970

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title = "Finite element solution to an elastica problem of beams",

abstract = "In this study, finite element solution procedures are developed for an elastica problem of inextensible beams. The element stiffness matrices are obtained by using Galerkin's method. Results of a numerical example compare reasonably well with those obtained by using the elliptical integral. Extensions of this research are currently being made to include membrane effects of beams and to develop plate element stiffness matrices for elastica problems of plate structures.",

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AU - Tada, Yasuo

AU - Lee, George C.

PY - 1970

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AB - In this study, finite element solution procedures are developed for an elastica problem of inextensible beams. The element stiffness matrices are obtained by using Galerkin's method. Results of a numerical example compare reasonably well with those obtained by using the elliptical integral. Extensions of this research are currently being made to include membrane effects of beams and to develop plate element stiffness matrices for elastica problems of plate structures.

UR - https://www.scopus.com/pages/publications/0014762294

U2 - 10.1002/nme.1620020208

DO - 10.1002/nme.1620020208

M3 - Article

AN - SCOPUS:0014762294

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SP - 229

EP - 241

JO - International Journal for Numerical Methods in Engineering

JF - International Journal for Numerical Methods in Engineering

IS - 2

ER -

Finite element solution to an elastica problem of beams

Abstract

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