Book considering FEM analysis for complex eigenvalues (incl. damping)

Join the discussion
Ask a follow-up here, or get your own question answered by working scientists, mathematicians and engineers — people, not an autocomplete.
Real named experts · corrections over time · the nuance an AI answer skips
Sign up Log in
3 replies · 1K views
Arjan82
Messages
625
Reaction score
619
Can anyone recommend a book in which complex eigenvalue problems are treated? I mean the FEM analysis and the theory behind it. These are eigenvalue problems which include damping. I think that it is used for composite materials and/or airplane engineering (maybe wing fluttering?).
 
Physics news on Phys.org
You should find some information on this topic in W.T. Thomson’s book "Theory of Vibration with Applications" as well as in "Shock and Vibration Handbook" published by McGraw-Hill. Apart from such general books about vibrations, I would check the documentation of particular FEA software, theory behid the complex eigenvalue extraction procedure is usually discussed there.

Complex eigenvalue analyses are used for problems such as brake squeal and widely understood dynamic stability (rotor whirl).
 
Reply
  • Informative
  • Like
Likes   Reactions: berkeman and Arjan82
Zienkiewicz, Taylor and Zhu briefly mention complex eigenvalues in Ch. 16.6 - 16.8 where they treat the equation Mu" +Cu' + ku = 0