Automated Dynamic Relaxation Solution Algorithms for Compliant Systems
Abstract
Tensioned or compliant structures, such as fabric shelter systems and ocean cable systems, are composed of very flexible structural components that exhibit a high degree of geometrical nonlinearity and analytical complexity. Structural analysis of these systems is a two-phase procedure: (1) the determination of the static equilibrium configuration or prestressed state of the structure; and (2) the determination of structural response relative to the equilibrium configuration due to static and dynamic in-service loads. This report addresses static solution algorithms for reliable phase-one solution procedures. In contrast to the standard Newton-Raphson (NR) incremental/ iterative algorithm, the automated dynamic relaxation (ADR) solution algorithm is a pure iterative algorithm and it is also simple to implement. The ADR algorithm's performance is globally convergent in test problems having multiple solutions, whereas NR algorithms are known to be only locally convergent. The ADR algorithm can be successfully utilized to form the basis of structural analysis software for specialized, highly nonlinear problems involving tensioned structures. Keywords: Eigenvalues, Kinematic damping.
Document Details
- Document Type
- Technical Report
- Publication Date
- May 01, 1990
- Accession Number
- ADA226383
Entities
People
- T. A. Shugar
Organizations
- Naval Facilities Engineering Service Center