Harmonic - Advanced Options

Sets the frequencies at which the response will be evaluated.

No. of points for each frequency Sets the maximum number of frequency points at which the response will be evaluated for each mode. The limit on the total number of solution steps is 10000.
Bandwidth around each frequency A ratio R that sets the range of the solution frequency points around each natural frequency considered in the analysis.
For example, the full range Bi (R =1) for mode i extends from (Fi - Fi-1)/2 to (Fi+1 - Fi)/2 as shown below:

  • A solution frequency point is used at each natural frequency considered in the analysis. If two consecutive modes are too close to each other, the software uses a number of points smaller than No. of points for each frequency.
  • For the first mode, Fi-1 is considered 0. For the last mode, the bandwidth is considered to be symmetrical around the natural frequency.
  • If the upper limit frequency, specified in the Harmonic Options tab, is much larger than the highest natural frequency considered in the analysis, the No. of points for each frequency input is used to define frequency points in that range.
Interpolation

Logarithmic

The solution frequency points are clustered around each natural frequency logarithmically to capture the response accurately at the natural frequency neighborhood. The solution frequency points are shown in pink in the figure above.

Linear

The solution frequency points are distributed uniformly on the bandwidth. The solution frequency points are shown in blue in the figure above.

Include extra frequencies for response

Select this option to include extra frequencies of interest for the calculation of the response parameters to harmonic loads.

In addition to the natural frequencies, which are included in the harmonic analysis by default, you can select up to 20 extra frequency points of interest. Enter the extra frequency points in ascending order (positive values).

The number of solution frequency points at which the solver calculates the response (that is, the clustered frequency solution points between two consecutive frequencies) is identical to the number of frequency points used for the natural frequencies (see No. of points for each frequency).

Edit Select this option to enter up to 20 frequencies in ascending order (positive values).
Tolerance to merge extra frequency points
Sets a tolerance limit (%) that defines how close an extra frequency point is to a natural frequency or to its consecutive extra frequency point so that the solver can merge the two consecutive frequencies into one frequency. The default tolerance limit is 1%.
The solver does not apply the tolerance criterion to natural frequency points (that is, natural frequencies are not merged).


represents natural frequencies calculated by the solver (all natural frequencies are included in the calculation of RMS output).

represents user-defined extra frequency points to include in the calculation of RMS output.

represents tolerance (%).

For example, the solver merges an extra frequency point to its closest natural frequency, based on the following criteria: