Discussion Overview
The discussion revolves around recommendations for books that address complex eigenvalue problems within the context of finite element method (FEM) analysis, particularly those that include damping effects. The scope includes theoretical aspects as well as applications in fields such as composite materials and aerospace engineering, with specific mention of phenomena like wing fluttering.
Discussion Character
- Exploratory, Technical explanation
Main Points Raised
- One participant seeks recommendations for books that cover complex eigenvalue problems in FEM analysis, specifically those involving damping.
- Another participant suggests W.T. Thomson’s "Theory of Vibration with Applications" and the "Shock and Vibration Handbook" as potential resources, noting that FEA software documentation may also provide relevant theoretical insights.
- A further contribution mentions that complex eigenvalue analyses are applicable to issues like brake squeal and dynamic stability, such as rotor whirl.
- It is noted that Zienkiewicz, Taylor, and Zhu briefly discuss complex eigenvalues in their work, specifically in chapters addressing the equation Mu" + Cu' + ku = 0.
Areas of Agreement / Disagreement
Participants provide various book recommendations and resources, but there is no consensus on a single definitive source or approach to the topic.
Contextual Notes
The discussion does not resolve the specific applicability of the recommended texts to the participant's needs, nor does it clarify the depth of coverage regarding complex eigenvalues and damping in the suggested materials.