Many analyses produce multiple result sets over a domain, such as time in a static or transient structural analysis, or frequency/phase in a harmonic analysis, or cyclic phase in a cyclic modal analysis. The By property options enable you to specify how you wish to review result contours from multiple result sets. The options available to you depend on the type of analysis being performed.
- Structural Analysis
(default): This option displays the results for a particular Time in the solution history. By default, this is the end time. For a solution that includes steps and substeps, you can use the Display Time property to specify a desired time value.
If you specify a time that lies between two times that exist in the result file, the application interpolates the results, except in these cases:
For non-fracture tool results in an additive manufacturing analysis (with birth/death), the set with time closest to the specified time is used.
For non-fracture tool results in a changing mesh environment, if the mesh in the set before the specified time differs from the mesh in the set after the specified time, the set with time closest to the specified time is used.
For fracture tool results when there are no mesh changes between the earlier and later times and there is no additive manufacturing, the set before the specified time is used.
For fracture tool results when there are either mesh changes between the earlier and later times or there is additive manufacturing, the set with time closest to the specified time is used.
: This option displays the contour result for a given Result Set contained in the result file. By default, this value is the last set, which is to say, if only one set is available, then that is the specified Result Set. For a solution that includes load steps and substeps, you specify the desired chronological set number using the Set Number property. You must enter a valid set number.
Maximum Over Time or Time of Maximum: Each node/element/sample point is swept through the result sets to find its maximum result. Either the result itself is reported (sometimes referred to as a "peak hold") or the time at which the peak occurred is reported.
or : Each node/element/sample point is swept through the result sets to find its minimum result. Either the result itself is reported or the time at which the minimum occurred is reported.
- Harmonic Analysis
(default): This option displays the contour result for a Frequency in the solution history. By default, this is the final frequency value. For a solution that includes steps and substeps, you can use the Frequency property to specify a desired value. Like Time, if you enter a frequency that is not equal to an existing value in the result file, the application interpolates the result.
Note: The application does not attempt to interpolate result values when (1) your Harmonic Response analysis is using the Mode Superposition method or (2) the Multiple Steps property of the Analysis Settings is set to . For these cases, the application selects the closest frequency value available in the result history of the file.
: results display for specified sets.
Maximum Over Frequency or Frequency of Maximum: With these options chosen, the phase specified in the Sweeping Phase property is held constant and each node/element/sample point is swept through frequency range to find its maximum result.
Maximum Over Phase or Phase of Maximum: With these options chosen, frequency is held constant and each node/element/sample point is swept through a phase period of 0° to 360° at specified increments to find its maximum result. You can control the increment using the Phase Increment entry.
Maximum Over Cyclic Phase or Cyclic Phase of Maximum: Each node/element/sample point is swept through a phase angle of 0° to 360° in 10 degree increments find its maximum result.
Note: Maximum Over Cyclic Phase and Cyclic Phase of Maximum require that you specify the Harmonic Index property as greater than zero.
- Harmonic Analysis and Calculating Derived Results
A Harmonic analysis result can be expressed using the following complex notation:
For the Harmonic analysis By property options above, the application calculates derived results. Derived results are calculated from component results. The above notation is the basis for each component result whose values are then combined to create a derived result.
In addition, Phase must also be considered. The phase computation is applied on each component before the derived result is calculated. The application derives phase:
Explicitly as specified by the Sweeping Phase property, or:
Implicitly as defined by the Phase Increment property (using the phase period of 0° to 360° at the specified increment).
For example, Equivalent (von-Mises) Stress, σeqv, is a derived result because it is evaluated from the stress components σxx, σyy, σzz, σxy, σyz, and σzx, from different directions, respectively. Therefore, it is calculated in the following equation for the general situation:
Where each tensor component has been computed as show here (θ is the Sweeping Phase value):
σxx = σxx - real ∗ cosθ − σxx - imag ∗ sinθ
σyy = σyy - real ∗ cosθ − σyy - imag ∗ sinθ
σzz = σzz - real ∗ cosθ − σzz - imag ∗ sinθ
σxy = σxy - real ∗ cosθ − σxy - imag ∗ sinθ
σyz = σyz - real ∗ cosθ − σyz - imag ∗ sinθ
σzx = σzx - real ∗ cosθ − σzx - imag ∗ sinθ
- Modal Analysis (Cyclic Only)
(default)
Maximum Over Cyclic Phase or Cyclic Phase of Maximum. Each node/element/sample point is swept through a phase angle of 0° to 360° in 10 degree increments find its maximum result. This result is applicable during a cyclic modal analysis only.