Conventional gearbox designs based on nominal power and speed are generally not sufficient to meet the diverse requirements of modern applications, such as resource efficiency at high power density, high efficiency, and long service life. On the contrary, various operating states must be isolated and the combinations between them must be considered. This is done using load spectra.

Up to this point, so-called “scaled load spectra” were used for the consideration of load spectra in the FVA-Workbench:

(powertransmission.com/blogs/1-revolutions/post/9006-fva-presents-transmission-design-considerations).

These load spectra consist of scaling factors for speed and torque in the power flow. Aside from constant loads, all remaining loads in the system were scaled with the power flow.

With the current version of the FVA-Workbench, this feature has been expanded to include “flexible load spectra.” This makes it possible to create any combination of loads and switched gears with the associated time percentages in an intuitive editor (see Figure 1).

Figure 1—Shifting matrix with gear-loaded combinations and load collective editor.

A separate system calculation is performed for each of these load cases, followed by an additional accumulation of the load cases and their respective time percentages. This means that the user can subsequently evaluate the effects of the various operating states separately as well as the result of the entire calculation in FVA-Workbench reports.

Example Application: Rolling Mill Gearbox

The benefits can already be observed in the simple drivetrain of a rolling mill, the schematic of which is shown in Figure 2. The key data for the design originates from the FVA 131 research project.

Figure 2—Drivetrain of a rolling mill.

Two important phenomena can occur during the rolling process: normal tapping or tapping with so-called chatter vibrations (see FVA 131). Here, we are only concerned with normal tapping; however, the process for consideration of chatter vibrations is similar. In greatly simplified terms, normal tapping consists of three operating states which are repeated every eight seconds:

• Start of tapping
• Rolling process
• Idle

Figure 3 shows the profile of the normalized torque over time.

Figure 3—Profile of the normalized torque.

With the FVA-Workbench, these single-parameter as well as multi-parameter (i.e., with additional consideration of speed, external forces, etc.) time histories can easily be converted into load spectra for the system calculation. Figure 4 shows the prepared load spectrum for normal tapping in the flexible load spectrum editor.

Figure 4—Flexible Load Collective Editor.

In the next step, the calculations can be performed using the specified load spectrum.

Available Calculations

In FVA-Workbench 9, load spectra (both scaled and flexible) can be considered in the following calculations:

• ISO 6336 2006 and 2019 for cylindrical gears
• Gear excitation according to FVA 338 I for cylindrical gears
• ISO 10300 2014 for bevel gears
• Rolling bearing calculations
• 2012 FKM Guideline for shaft notches
• Local damage accumulation for bevel gears

If desired, snapshots can be created for each load case with all associated results for reporting. This makes it possible to evaluate the individual load cases in the flexible load spectrum in isolation with all the other available calculation methods in the FVA-Workbench. This enables users to optimize gearboxes for the entire load spectrum as well as for the individual spectrum stages.

Results Output

In principle, the results are output in a similar manner to scaled load spectra (powertransmission.com/blogs/1-revo-lutions/post/9006-fva-presents-transmission-design-considerations). The key difference, however, is that individual reports are also available for each load case in addition to the report for all accumulated load cases (see Figure 5).

Figure 5—Individual reports and accumulated reports in the result output.

Conclusion

The new flexible load spectrum feature significantly expands the range of calculation and evaluation options in the FVA-Workbench. The key innovations are:

• Individual forces and bending moments can be specified separately for each load case
• The oil temperature can be varied for each load case
• A report can be created for each individual load case

The benefits of the scaled load spectrum are also still available:

• Specification of torque and speed for each load case
• Constant individual forces and bending torques for all load cases
• Switchable loads
• A report with the accumulated results of all load cases
• Can be controlled via FVA-Workbench scripting.

One final benefit of the scaled load spectrum is that it is possible to interpolate between the load cases, enabling the calculation of extensive load spectra with a high level of computational performance.

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