2412.01964
Energy-based dual-phase dynamics identification of clearance nonlinearities
Cristian López, Keegan J. Moore
correctmedium confidence
- Category
- Not specified
- Journal tier
- Specialist/Solid
- Processed
- Sep 28, 2025, 12:56 AM
- arXiv Links
- Abstract ↗PDF ↗
Audit review
The paper sets up exactly the two linear problems that the candidate formalizes: (i) the zero‑displacement energy identity leads to Q b = R for damping, as shown via E(γi)=T(γi) and Eq. (4)–(6) in the text ; and (ii) the conservative force is computed by force balance K = F − B − ṗ and then regressed onto a stiffness library K = Θ k, i.e., Eq. (7)–(8) . The candidate’s solution simply makes the identifiability conditions explicit (full column rank of Q and Θ) and proves uniqueness; the libraries used match those in the paper (dissipation: Eq. (10) ; stiffness: Eq. (11) ).
Referee report (LaTeX)
\textbf{Recommendation:} minor revisions
\textbf{Journal Tier:} specialist/solid
\textbf{Justification:}
The manuscript presents a clear two-phase identification pipeline (EDDI/mEDDI) and compelling demonstrations on both simulated and experimental SDOF systems with clearance nonlinearities. The algebraic core—energy matching at zero crossings to identify damping, followed by force balance and linear regression to identify stiffness—is sound and well executed. What is missing are explicit identifiability conditions (full column rank of the design matrices and excitation richness), brief guidance on library selection, and a short robustness discussion (noise, zero-crossing detection). Addressing these would strengthen the paper’s rigor while preserving its practical orientation.