Static Fatigue Analysis: Linear Superposition of Multiple FEA/Load Time History
Load Cases
When there are several load cases at the same time, all of which vary independently
of one another, the principle of linear superposition will be used to combine all
load cases together to determine the stress variation at each calculation point due
to the combination of all loads. The formula is:
Where is the total number of load cases, and are, respectively, the time variation of the
kth load time history and the total stress tensor, and and are, respectively, the kth load magnitude
and stress tensor from FE analysis.
The following equation depicts how LDM, Scale, and Offset values work together to
scale the FEA stress tensor at time t.