The settings for a linear static analysis are stored in the LinearSettings object.  This object is redundant, as it contains no methods or properties other than the Frame and Application methods that identify its parent objects.  The LinearSettings object has been provided in the automation interface so that the objects and behaviour of the linear static analysis are consistent with those for each of the other types of analysis.

To perform a static linear analysis of a structure, the Linear property of the Analysis object must be set equal to true.  If this property is not set true, a linear static analysis will not be performed when the analysis is executed

myFrame.Analysis.Linear = true
Call myFrame.Analysis.Analyse()