Non-Linear Solution Methods for Shell and Spatial Structures

by M. Papadrakakis, Natl Technical Univ of Athens, Athens, Greece,



Document Type: Proceeding Paper

Part of: Spatial, Lattice and Tension Structures

Abstract:

Non-linear solution methods are investigated for the analysis of shell and spatial structures based on limited memory quasi-Newton updates. Under the proposed implementation the preconditioned truncated Lanczos method is used for the solution of the linearized problem in each non-linear iteration. The complete factorization of the stiffness matrix is avoided and large-scale problems can be solved efficiently both in terms of computing time and storage. The non-linear iterative scheme is properly modified to account for loading variation inside the increment in order to trace post-critical equilibrium paths.



Subject Headings: Critical path method | Shell structures | Nonlinear analysis | Spatial analysis | Linear analysis | Space frames | Linear functions | Stiffening

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