Failing the "Sturm Sequence Check" simply means there is another natural frequency within %5 of the last frequency extracted. So if the last frequency was 100hz, there is at least one more between 100 and 105, that you may want to consider.
The only way to "consider" these potential frequencies is to increase the cut-off. However, there are some models that will never pass the "Sturm Sequence Check" (such as a cantilever). Failing the "Sturm Sequence Check" doesn't mean there is anything wrong, it just means you need to think about what is going on and consider extending the cut-off.
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Regards,
Richard Ay - Consultant