the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
Mechanism‑Structure Collaborative Optimization Design of Excavator Stick under Hard‑Soil Conditions
Abstract. During dense hard-soil excavation, the stick sustains large digging resistance, and long-term static and cyclic impact loads frequently cause failure of critical structural components. Balancing structural performance and digging capacity remains a core bottleneck in excavator attachment design. Using a 20-ton hydraulic excavator as the research prototype, this study proposes a Structure-Mechanism Collaborative Optimization (CO) approach that explicitly accounts for the coupling between mechanism parameters and structural performance. A multidisciplinary CO model was constructed, in which stick digging force and equivalent von Mises stress were calculated from experimental data and critical dangerous conditions were identified from stress distributions. Optimal Latin Hypercube Design (OLHD) combined with Kriging surrogate models was employed to build three surrogate models for digging force, maximum equivalent stress, and stick mass, substantially reducing computational cost. The CO model was subsequently solved by intelligent optimization algorithms under practical engineering constraints. Results demonstrate a 9 % increase in theoretical digging force, a 7 % reduction in maximum equivalent stress, and a 9 % decrease in stick weight.
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Status: open (until 18 Oct 2026)
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RC1: 'Comment on ms-2026-167', Anonymous Referee #1, 12 Sep 2026
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CC1: 'Reply on RC1', Zhigui Ren, 14 Sep 2026
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You may be the reviewer of this manuscript before its resubmission. Previously, I have revised the paper framework according to your comments. I sincerely appreciate your valuable suggestions raised in this round. The manuscript will be comprehensively improved in accordance with your remarks. Below are our preliminary responses to the questions you put forward above.
- In Section 5 on optimization results, the optimized variables are substituted into the digging force calculation and stress simulation models proposed and validated by our group (Ref. 26). Error analysis is performed between the surrogate-model predicted objectives and recalculated values, and the errors are within an acceptable range, verifying the accuracy of the optimization model.Unfortunately, our group has limited funding to carry out physical experiments for further validation. The verification strategy was not clearly elaborated in the original manuscript, which may have led to this misunderstanding. We will supplement and refine this description thoroughly in the revised paper.The original text is as follows: The re-calculated values of digging force, maximum equivalent stress, and stick weight were then compared against the surrogate model predictions. The re-analysis results show that the deviations between surrogate predictions and FEA verification values are 1.368% for digging force, 1.144% for maximum equivalent stress, and 1.414% for stick weight, all remaining within 1.5%. These small discrepancies confirm that the constructed Kriging surrogate models possess sufficient approximation accuracy, and that the collaborative optimization results are physically reliable and engineering-applicable.
- In this work, empirical weighting combined with comparative‑analysis of multiple weight combinations is adopted to determine the weight coefficients. For compacted hard‑soil excavation conditions of hydraulic excavators, improving digging capacity and guaranteeing structural safety are the primary design requirements, whereas lightweight design is a secondary objective. Therefore, higher weights are assigned to digging force and maximum equivalent stress, and a relatively lower weight is assigned to stick mass.If revision is permitted, we will re-describe the determination of weight coefficients to make this part more scientific and comprehensive.
- A mechanism‑structure multidisciplinary collaborative optimization model considering cosine‑distributed hinge‑bore loading is established. Most existing studies optimize mechanism parameters or structural plate thickness separately and ignore their mutual coupling effect. In this paper, both hinge‑point geometric parameters and structural plate‑thickness variables are incorporated within a two‑level Collaborative Optimization (CO) framework. The cosine‑distributed load scheme is adopted to reproduce realistic pin‑hole contact and avoid spurious stress concentration caused by point loads. Synchronous optimization for digging capacity, structural stress and stick mass is realized.
- We appreciate your valuable comments. We have comprehensively polished the full manuscript, rephrased awkward and redundant sentences, and standardized all technical terms.
Thank you again for your valuable comments. We will carefully revise and supplement the manuscript to address all the above issues. If we are granted the opportunity for revision, we will submit the revised manuscript for your consideration. We appreciate your time spent reviewing our work.
Citation: https://doi.org/10.5194/ms-2026-167-CC1
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CC1: 'Reply on RC1', Zhigui Ren, 14 Sep 2026
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This paper tries to offer a mechanism‑structure collaborative optimization design method of excavator stick under hard‑soil conditions . However, here are some suggestions:
1.How do you ensure the accuracy of the simulated results?
2.How do you determine the weight coefficient for the three optimization objectives?
3. What is your novelty?
4. English writing could be improved.