2403.03889
Non-reflective traveling waves in finite thin beams: A parametric study
Amirhossein Omidi Soroor, Pablo A. Tarazaga
incompletemedium confidence
- Category
- Not specified
- Journal tier
- Specialist/Solid
- Processed
- Sep 28, 2025, 12:56 AM
- arXiv Links
- Abstract ↗PDF ↗
Audit review
The paper’s main conclusion—that a single spring–dashpot absorber cannot guarantee low-CF traveling-wave response across a wide frequency band because nodal coincidences inevitably neutralize the absorber—is correct and well supported numerically, but the argument remains empirical and lacks a rigorous mechanism-level proof. The model’s solution supplies that proof via a rank‑one Green’s-function update, showing that antiresonance (w(L1)=0) frequencies are independent of absorber tuning, form an infinite unbounded set, and force CF≈1, precluding any continuous choice of k(f), c(f) that keeps CF≤0.3 on an interval that intersects this set.
Referee report (LaTeX)
\textbf{Recommendation:} minor revisions \textbf{Journal Tier:} specialist/solid \textbf{Justification:} The manuscript presents a careful, well-visualized parametric study that clarifies an important practical limitation of single-absorber TW generation. The empirical evidence is strong and the conclusions are sound. Adding a concise theoretical explanation (e.g., a Green’s-function/antiresonance argument) would upgrade the work from empirical observation to principled understanding and improve its archival value.