Geometrically nonlinear elastic analysis of space trusses

Citation
F. Tin-loi et Sh. Xia, Geometrically nonlinear elastic analysis of space trusses, STRUC ENG M, 7(4), 1999, pp. 345-360
Citations number
20
Categorie Soggetti
Civil Engineering
Journal title
STRUCTURAL ENGINEERING AND MECHANICS
ISSN journal
12254568 → ACNP
Volume
7
Issue
4
Year of publication
1999
Pages
345 - 360
Database
ISI
SICI code
1225-4568(199904)7:4<345:GNEAOS>2.0.ZU;2-F
Abstract
A general framework for the nonlinear geometric analysis of elastic space t russes is presented. Both total Lagrangian and finite incremental formulati ons are derived from the three key ingredients of statics, kinematics and c onstitutive law. Particular features of the general methodology include the preservation of static-kinematic duality through the concept of fictitious forces and deformations, and an exact description for arbitrarily large di splacements, albeit small strain, that can be specialized to any order of g eometrical nonlinearity. As for the numerical algorithm, we consider specif ically the finite incremental case and suggest the use of a conventional, s imple and flexible arc-length based method. Numerical examples are presente d to illustrate and validate the accuracy of the approach.