In a static analysis, the load and constraints are fixed in time.
An eigenfrequency analysis finds the damped or undamped eigenfrequencies and mode shapes of a structure, sometimes referred to as the
free vibration of a structure. Prestress effects and damping can also be taken into account.
A transient analysis finds the transient response for a time-dependent model, taking into account mass and mass moment of inertia. The transient analysis can be either direct or using a modal solution.
A frequency response analysis finds the steady-state response to harmonic loads. The frequency-response analysis can be either direct or using a modal solution. Effects of prestress can be included.
A linear buckling analysis uses the stiffness coming from stresses and material to define an eigenvalue problem where the eigenvalue is a load factor that, when multiplied with the actual load, gives the critical load in a linear context.
A parametric analysis finds the solution dependence due to the variation of a specific parameter, which could be, for instance, a material property or the position of a load.
Response spectrum analysis provides a method to estimate peak values of, for example, displacements and stresses when a structure is subjected to a short, nondeterministic event like an earthquake or a shock.
For steady-state random dynamic loading, like wind or waves, it is possible to perform random vibration analysis where the input is given in terms of a power spectrum density (PSD).
In a transient thermal stress study, the program neglects mass effects, assuming that the time scale in the structural mechanics problem is much smaller than the time scale in the thermal problem.