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Geometrically Nonlinear Static Analysis of 3D Trusses Using the Arc-Length MethodRigorous analysis of geometrically nonlinear structures demands creating mathematical models that accurately include loading and support conditions and, more importantly, model the stiffness and response of the structure. Nonlinear geometric structures often contain critical points with snap-through behavior during the response to large loads. Studying the post buckling behavior during a portion of a structure's unstable load history may be necessary. Primary structures made from ductile materials will stretch enough prior to failure for loads to redistribute producing sudden and often catastrophic collapses that are difficult to predict. The responses and redistribution of the internal loads during collapses and possible sharp snap-back of structures have frequently caused numerical difficulties in analysis procedures. The presence of critical stability points and unstable equilibrium paths are major difficulties that numerical solutions must pass to fully capture the nonlinear response. Some hurdles still exist in finding nonlinear responses of structures under large geometric changes. Predicting snap-through and snap-back of certain structures has been difficult and time consuming. Also difficult is finding how much load a structure may still carry safely. Highly geometrically nonlinear responses of structures exhibiting complex snap-back behavior are presented and analyzed with a finite element approach. The arc-length method will be reviewed and shown to predict the proper response and follow the nonlinear equilibrium path through limit points.
Document ID
20060020675
Acquisition Source
Langley Research Center
Document Type
Conference Paper
Authors
Hrinda, Glenn A. (NASA Langley Research Center Hampton, VA, United States)
Date Acquired
September 7, 2013
Publication Date
January 1, 2006
Subject Category
Structural Mechanics
Meeting Information
Meeting: HPSM 2006 - 3rd International Conference on High Performance Structures and Materials
Location: Ostend
Country: Belgium
Start Date: May 3, 2006
End Date: May 5, 2006
Funding Number(s)
OTHER: 23-612-10-82-B1
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

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