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Eigenvalue/frequency benchmarking

Eigenvalue/frequency benchmarking

Eigenvalue/frequency benchmarking


I'm looking to implement eigenvalue and eigenfrequency analyses to my own FE code (1D analysis of laterally loaded pile), and was wondering if anyone knew of:
1) Some good references which can aid in implementing the above analyses in my code (I have a few references, but maybe there are some better ones?);
2) Some relatively simple examples which I can benchmark my analysis results to (either from a separate analysis software or other source).


Thanks in advance for any help.

RE: Eigenvalue/frequency benchmarking


Have you ever thought about checking some codes that are open source? They might have some benchmarks already. Hopefully also some that you are trying to model.

CodeAster is imho able to do such simulations, Z88 (not sure) and some others.


RE: Eigenvalue/frequency benchmarking

Thanks for the links JousefM, both look good.

Another open-source option is OpenSees, which should be good for problems of this sort since it is specifically written for seismic analysis of structures.

For textbooks, Programming the Finite Element Method by Smith Griffiths and Margetts has a chapter on Eigen value problems, and provides full Fortran code for all the applications discussed in the book.

Doug Jenkins
Interactive Design Services

RE: Eigenvalue/frequency benchmarking

The essential source for reference examples is RD Blevins, Natural frequencies and Mode Shapes. If you are involved with dynamics and don't have a copy on your desk then you are just messing about.


Greg Locock

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RE: Eigenvalue/frequency benchmarking

Thanks all. I'll check those out.

RE: Eigenvalue/frequency benchmarking


Do you have any experience books by J.P. Den Hartog? How does R.D. Blevins compare?

My experience is I like to find early writings on a subject because they are usually written by people doing the experiments, not derivative works who study what they wrote. However, this has to be balanced as the earlier sources can be lacking the development the industry has taken.

Anyway, just wondering how Blevins stacks up to Hartog.

RE: Eigenvalue/frequency benchmarking

Thanks Greg. Good to know.

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