# Nonlinear Static Analysis

There are several different types of non-linear analysis, but there are two different effects that need to be considered.

  • Geometric non-linearity – where the loading causes changes in the shape of the structure which must be taken into account in order to get an accurate solution.
  • Material non-linearity – where the loading causes material to behave in a non-linear manner, typically through yielding.

Different analysis options in GSA allow these effects to be accounted for in different ways.

The simplest geometrically non-linear problem is a static P-delta analysis. This takes account of the fact that displacements in the structure can be either beneficial or detrimental to its performance.

The simplest material non-linearity problem is static analysis with ties and struts. In this case the material can take either no compression or no tension.

More general non-linear static analysis will model both geometrical and material non-linear effects. Non-linear data types are made available in the data tables. The options given are the basic Non-linear static analysis and Fabric analysis. Once a non-linear analysis preference has been set and the model defined it can be analysed with a non-linear analysis solver.

There are two analysis solvers for non-linear analysis. One is called GsRelax and is based on Dynamic Relaxation, the other is an explicit solver. The GsRelax solver takes a completely different approach to the GSS solver. Because of this some data items function differently with the GSS and GsRelax solvers. Other data items are only appropriate for use with a specific solver option. The data affected is mentioned briefly below and is covered in detail in the relevant data definition sections.

# More:

Modelling implications of non-linear static analysis

Non-linear static analysis of ties and struts

Non-linear static analysis using dynamic relaxation

Analysis of fabric structures