Defining Complex Frequency Steps

You can define a complex frequency step to perform eigenvalue extractions that calculate the complex eigenvalues and the corresponding complex mode shapes of a system.

A complex frequency step is a linear perturbation procedure that uses the Lanczos method. It must be preceded by a frequency step so that eigenfrequencies are extracted prior to the complex eigenvalue extraction.

See Also
About Complex Frequency Steps
  1. From the Procedures section of the action bar, click Complex Frequency Step .
  2. Optional: Enter a descriptive Name.
  3. Select the Modes using one of the following methods:
    OptionDescription
    All in frequency range Evaluate all the eigenvalues from the minimum frequency of interest up to the maximum frequency of interest.
    Specify Indicate the number of eigenvalues to be calculated.
  4. If you are using Specify for modes, enter the Number of modes to specify the number of eigenvalues to be calculated.
  5. In the Minimum frequency field, enter the minimum eigenvalue frequency of interest.
  6. In the Maximum frequency field, enter the maximum eigenvalue frequency of interest.

    Minimum and maximum frequency values are mandatory when you specify modes using the All in frequency range method.

  7. Enter the Shift point in squared cycles per time (positive or negative).
  8. Optional: Expand Advanced to further configure the step.
    1. Select Include friction-induced damping effects to add friction-induced contributions to the damping matrix.
    2. In the Evaluate dependent properties at frequency field, enter a frequency at which the solver will evaluate frequency-dependent material properties.

      If you do not specify a frequency, the solver evaluates the stiffness associated with frequency-dependent springs and dashpots at zero frequency and does not consider the stiffness contributions from frequency domain viscoelasticity.

    3. Enter a Cutoff frequency value for complex mode output to have the solver process output only for complex modes where the real part of the eigenvalue is higher than the cutoff.
    4. Select an option for the Matrix storage method.

      Option Description
      Solver default The Abaqus solvers chooses a matrix storage and solution scheme based on the model.
      Symmetric Uses the symmetric matrix storage and solution scheme.
      Unsymmetric Uses the unsymmetric matrix storage and solution scheme

  9. To select the eigenmodes to be used for this step, see Selecting Eigenmodes for Mode-Based Procedures.
  10. Click OK.