Abstract
In this work, we investigate the generalized displacement control method (GDCM) and provide a modification (MGDCM) that results in an equivalent constraint equation as that of the linearized cylindrical arc-length control method (LCALCM). Through numerical examples, we illustrate that the MGDCM is more robust than the standard GDCM in capturing equilibrium paths in regions of high curvature. Moreover, we also provide a geometric and physical interpretation of the method, which sheds light on the general class of path following methods in structural mechanics.
Original language | English (US) |
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Pages (from-to) | 123-129 |
Number of pages | 7 |
Journal | Mechanics Research Communications |
Volume | 56 |
DOIs | |
State | Published - Mar 1 2014 |
Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Civil and Structural Engineering
- General Materials Science
- Condensed Matter Physics
- Mechanics of Materials
- Mechanical Engineering
Keywords
- Arc-length control methods
- Generalized displacement control method
- Nonlinear solution schemes
- Planar truss
- Space truss