2402.05676
Using nodal coordinates as variables for the dimensional synthesis of mechanisms
V. García-Marina, I. Fernández de Bustos, G. Urkullu, M. Abasolo
correctmedium confidence
- Category
- Not specified
- Journal tier
- Specialist/Solid
- Processed
- Sep 28, 2025, 12:56 AM
- arXiv Links
- Abstract ↗PDF ↗
Audit review
Both the paper and the candidate apply the same chain-rule-plus-stationarity argument (envelope principle) to show that the first derivative with respect to L is exact under the deformed-position stationarity, and both derive the same uncoupled gradient formula in the initial-coordinate formulation using ∂L_j/∂x_{j0} = (1/L_j) d_{j0}.
Referee report (LaTeX)
\textbf{Recommendation:} minor revisions
\textbf{Journal Tier:} specialist/solid
\textbf{Justification:}
The paper's first-derivative results and their application to the nodal-coordinate formulation are correct and useful. The candidate solution mirrors the paper's arguments and results closely. Minor improvements would be to state regularity assumptions explicitly and to highlight the precise scope where the uncoupled vs. coupled distinction matters (notably second derivatives and degeneracies).