On the influence of the paths of conservative multiparametrical loading on equilibrium states of geometrically nonlinear structures
Abstract
An overview is presented of qualitative and quantitative studies of the equilibrium of geometrically nonlinear bodies subjected to conservative multiparametrical loading. The effects of multiparametrical loading paths are studied by means of a dynamic approach in which the equilibrium states are the steady states. An incremental numerical solution is also described for examining the static effects on the nonlinear structures. The loading paths of conservative multiparametrical load configurations strongly influence incremental algorithms based on finiteelement and finitedifference techniques. Only stable states contribute to the formation of the final states, and equilibrium states do not depend on changes in the times of the loadings. External viscous friction is thought to have no influence on the final state; the incremental approach is found to yield good results in the solutions of static problems.
 Publication:

Computers and Structures
 Pub Date:
 July 1992
 Bibcode:
 1992CoStr..44..137S
 Keywords:

 Dynamic Structural Analysis;
 Elastic Bodies;
 Equilibrium Methods;
 Loading Rate;
 Variable Geometry Structures;
 Finite Difference Theory;
 Finite Element Method;
 Structural Stability;
 Structural Mechanics