TY - JOUR

T1 - Instability analysis of space trusses using exact tangent-stiffness matrices

AU - Tanaka, K.

AU - Kondoh, K.

AU - Atluri, S. N.

N1 - Funding Information:
In the usual finite element analysis, much of the effort is usually expended in evaluating the tangent-stiffness matrix (re,K, which accounts for the effects of initial displacements and initial stresses. Usually, one assumes basis functions and integrates over the element the appropriate strain energy terms (that depend nonlinearly on the displacements) to obtain (inK. The * The research reported here was supported by Air Force Wright Aeronautical Laboratories under Contract No. SFRC F33615-83-K-3205.

PY - 1985/12

Y1 - 1985/12

N2 - A simple (exact) expression for the tangent-stiffness matrix of a space truss undergoing arbitrarily large deformation, as well as member buckling, is given. An arc-length method is used to solve the tangent-stiffness equations in the post-buckling range of the structural deformation. Several examples to illustrate the viability of the present approaches in analyzing large space structures, simply, efficiently, and accurately, are given.

AB - A simple (exact) expression for the tangent-stiffness matrix of a space truss undergoing arbitrarily large deformation, as well as member buckling, is given. An arc-length method is used to solve the tangent-stiffness equations in the post-buckling range of the structural deformation. Several examples to illustrate the viability of the present approaches in analyzing large space structures, simply, efficiently, and accurately, are given.

UR - http://www.scopus.com/inward/record.url?scp=0022307245&partnerID=8YFLogxK

U2 - 10.1016/0168-874X(85)90028-9

DO - 10.1016/0168-874X(85)90028-9

M3 - Article

AN - SCOPUS:0022307245

VL - 1

SP - 291

EP - 311

JO - Finite Elements in Analysis and Design

JF - Finite Elements in Analysis and Design

SN - 0168-874X

IS - 4

ER -