Exact stiffness matrix for twisted helix beam

A. Y T Leung

doi:10.1016/0168-874X(91)90017-S

Exact stiffness matrix for twisted helix beam

A. Y T Leung

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

18 Citations (Scopus)

Abstract

Natural shape functions are derived for curved and twisted beam finite elements including shear deformation. Natural shape functions are exact solutions of the governing equations subject to boundary forces only. Rigid-body modes are completely satisfied and all complications associated with curved finite elements by assumed shaped functions, parametric transformation, and numerical integration are eliminated. The formulation of the stiffness matrix is given in detail. © 1991.

Original language	English
Pages (from-to)	23-32
Journal	Finite Elements in Analysis and Design
Volume	9
Issue number	1
DOIs	https://doi.org/10.1016/0168-874X(91)90017-S
Publication status	Published - Apr 1991
Externally published	Yes

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abstract = "Natural shape functions are derived for curved and twisted beam finite elements including shear deformation. Natural shape functions are exact solutions of the governing equations subject to boundary forces only. Rigid-body modes are completely satisfied and all complications associated with curved finite elements by assumed shaped functions, parametric transformation, and numerical integration are eliminated. The formulation of the stiffness matrix is given in detail. {\textcopyright} 1991.",

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PY - 1991/4

Y1 - 1991/4

N2 - Natural shape functions are derived for curved and twisted beam finite elements including shear deformation. Natural shape functions are exact solutions of the governing equations subject to boundary forces only. Rigid-body modes are completely satisfied and all complications associated with curved finite elements by assumed shaped functions, parametric transformation, and numerical integration are eliminated. The formulation of the stiffness matrix is given in detail. © 1991.

AB - Natural shape functions are derived for curved and twisted beam finite elements including shear deformation. Natural shape functions are exact solutions of the governing equations subject to boundary forces only. Rigid-body modes are completely satisfied and all complications associated with curved finite elements by assumed shaped functions, parametric transformation, and numerical integration are eliminated. The formulation of the stiffness matrix is given in detail. © 1991.

UR - https://www.scopus.com/pages/publications/0026137541

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-0026137541&origin=recordpage

U2 - 10.1016/0168-874X(91)90017-S

DO - 10.1016/0168-874X(91)90017-S

M3 - RGC 21 - Publication in refereed journal

SN - 0168-874X

VL - 9

SP - 23

EP - 32

JO - Finite Elements in Analysis and Design

JF - Finite Elements in Analysis and Design

IS - 1

ER -

Exact stiffness matrix for twisted helix beam

Abstract

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