Static vs Dynamic Analysis

Static vs Dynamic Analysis

When conducting FEA, the decision must be made as to whether a static analysis or a dynamic analysis is required. There are several key differences between the two.

A static analysis can only be performed if the system being simulated does not depend on time, and if the loads being applied are constant. In a dynamic analysis, the system itself, the load application, or both might change with time.

In a dynamic analysis, the inertial loads developed by the system due to acceleration are taken into account. Static analyses don’t consider inertia.

Mathematically, the difference between static and dynamic analysis is that in a static analysis, only the stiffness matrix of the FEA model is solved. In a dynamic analysis, in addition to the stiffness matrix, the mass matrix (and damping matrix, if not zero) is solved as well. That is one of the reasons why dynamic analyses require more computational time than static analyses, for the same structure.

For a dynamic analysis, the loads can be in either the time domain or in the frequency domain.

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