{"title":"Truncated elasto-hydrodynamic lubrication (EHL) solutions with explicit matrix-based deformation calculation","authors":"Liang Guo","doi":"10.1016/j.triboint.2025.111322","DOIUrl":"10.1016/j.triboint.2025.111322","url":null,"abstract":"<div><div>Obtaining analytical solutions for truncated contact problems (for example quarter-space and general wedge) is challenging. Consequently, alternative methods like the finite element method are commonly used. This paper presents an explicit matrix-based algorithm for calculating surface deformation in truncated contact problems. By treating the wedge as an overlap of two half-spaces, the methodology reformulates the truncated contact problem into a half-space framework through the application of a transformation matrix to the load, ensuring no loss of accuracy. The matrix is independent of loading conditions, allowing it to be precomputed and stored for efficient reuse. This approach significantly improves the efficiency of numerical analyses involving repeated deformation calculations, such as truncated elasto-hydrodynamic lubrication (EHL). Several truncated EHL solutions obtained using the proposed matrix method are presented and compared with experimental results.</div></div>","PeriodicalId":23238,"journal":{"name":"Tribology International","volume":"214 ","pages":"Article 111322"},"PeriodicalIF":6.1,"publicationDate":"2025-10-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145362048","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Lu Zhai , Yanmei Liu , Feng Guan , Weijian Liu , Konghua Yang , Zhihui Zhang , Chunbao Liu
{"title":"Self-lubrication and anti-wear of bio-inspired surface with on-demand oil-release capabilities","authors":"Lu Zhai , Yanmei Liu , Feng Guan , Weijian Liu , Konghua Yang , Zhihui Zhang , Chunbao Liu","doi":"10.1016/j.triboint.2025.111321","DOIUrl":"10.1016/j.triboint.2025.111321","url":null,"abstract":"<div><div>Inspired by the mucus secretion from red-eyed tree frog microchannels under pressure in tropical rainforests, this study aimed to develop a bio-inspired surface with adaptive self-lubrication and anti-wear properties for enhanced tribological performance under alternating loads. A bio-inspired surface was designed to dynamically adjust its lubrication state on the hexagonal micro-/nanostructure when pressure-induced squeezing. The fabricated surface demonstrated an ultra-low coefficient of friction and a significantly reduced wear rate. The underlying mechanism involves localized contact behavior creating a pressure differential that overcomes capillary forces, triggering on-demand lubricant release from the microchannels. The influence of laser processing parameters (i.e., scanning path, number of scans, and laser power) on surface microhardness and oil storage capacity under different loading conditions was investigated. Results showed that laser power predominantly affected the hardness and wear resistance of the micro-/nanostructures, while the scanning path and number of scans jointly enhanced self-lubricating capability. A multiphase interface self-lubrication and wear evolution model was established to explain the on-demand oil-release behavior. This revealed that laser parameters controlled the density and depth of hexagonal channel gaps, thereby improving lubricant retention, extending storage time, and facilitating the formation of a robust, wear-resistant oxide layer.</div></div>","PeriodicalId":23238,"journal":{"name":"Tribology International","volume":"214 ","pages":"Article 111321"},"PeriodicalIF":6.1,"publicationDate":"2025-10-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145361979","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A method of self-healing hydrophobic organic coating with gradient texture implantation: Tackling the challenge of bearing corrosion and friction","authors":"Jiahe Wang, Qunfeng Zeng, Zeming Pang","doi":"10.1016/j.triboint.2025.111325","DOIUrl":"10.1016/j.triboint.2025.111325","url":null,"abstract":"<div><div>Bearing steel needs protection in marine environments due to its extreme lack of corrosion resistance. However, traditional anti-corrosion coatings face the problem of friction damage. This study proposes a method for self-healing hydrophobic organic coatings implant gradient texture, avoiding the harm of severe wear to the coating. Nano-SiO<sub>2</sub> modified stearic acid coating reduces the friction coefficient of bearings from 0.8 to 0.35 (room temperature) and below 0.1 (high temperature). The stearic acid with state change at high temperatures have a synergistic effect with ester lubricants, which has a lubrication enhancement effect exceeding 20 %. The regeneration behavior of the stearic acid layer is influenced by both metal chemical adsorption and oil interface diffusion. The gradient texture of laser secondary processing changes the equilibrium point of the reaction through anchoring and increasing the area. The additional fluid dynamic pressure generated by the asymmetrical pit texture enhances the lubrication effect. The adsorption rate in finite element simulation is 90 %, and the regeneration rate in the experiment is as high as 98 %, which proves the feasibility of using coatings on the bearing surface. This study provides new ideas for the corrosion and wear protection of bearings under harsh working conditions.</div></div>","PeriodicalId":23238,"journal":{"name":"Tribology International","volume":"214 ","pages":"Article 111325"},"PeriodicalIF":6.1,"publicationDate":"2025-10-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145323846","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Kaikui Zheng , Faxuan Zheng , Jingyi Lin , Zhiying Ren , Youxi Lin
{"title":"Utilization of red mud as copper substitute in eco-friendly resin-based brake composites: Performance evaluation and machine learning prediction","authors":"Kaikui Zheng , Faxuan Zheng , Jingyi Lin , Zhiying Ren , Youxi Lin","doi":"10.1016/j.triboint.2025.111324","DOIUrl":"10.1016/j.triboint.2025.111324","url":null,"abstract":"<div><div>Red mud, a highly alkaline industrial solid waste generated during the production of alumina, poses significant environmental challenges due to its massive stockpiling. This study proposes a novel strategy to utilize red mud as a filler in copper-free resin-based brake composites, aiming to replace environmentally problematic and costly copper. This approach not only offers a pathway towards copper-free brake composites but also presents a potential solution for the eco-friendly disposal of red mud. The effects of red mud content on the physical properties, mechanical properties, and friction-wear performance of the composites were systematically investigated, coupled with a comprehensive analysis of the wear mechanisms. Results indicate that incorporating an appropriate amount of red mud enhances the density, hardness, and impact strength of the composites. Crucially, it effectively improves the friction coefficient at medium to high temperatures, mitigating thermal fade. While density and hardness increased proportionally with red mud content, impact strength exhibited a complex non-linear trend, initially decreasing, then increasing, before decreasing again. The composite containing 35 wt% red mud demonstrated the most favorable overall friction-wear performance. An optimized formulation was derived using Response Surface Methodology (RSM): 18 wt% phenolic resin, 5 wt% bamboo fiber, 15 wt% alumina, 39 wt% red mud, 3 wt% graphite, 5 wt% nitrile rubber powder, and 15 wt% barium sulfate. This formulation maintained a stable friction coefficient between 0.48 and 0.50 across a test temperature range of 100 ∼ 350 °C. Furthermore, five machine learning methods were employed to establish predictive models correlating the composite formulation with the friction coefficient. Cross-validation revealed that the Particle Swarm Optimization-Back Propagation (PSO-BP) neural network exhibited the best generalization capability on the test set (<em>R</em>² = 0.87284, prediction accuracy = 97.5987 %), identifying it as the optimal prediction model. This study successfully demonstrates the feasibility of using red mud to replace copper in brake composites, yielding high-performance, eco-friendly, copper-free resin-based brake composites.</div></div>","PeriodicalId":23238,"journal":{"name":"Tribology International","volume":"214 ","pages":"Article 111324"},"PeriodicalIF":6.1,"publicationDate":"2025-10-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145323853","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Bo Dai , Qian Jia , Bingbing Lai , Haichao Liu , Wenjing Lou , Xiaobo Wang
{"title":"Design of a hydrogen-bonded eutectic polyurea grease complexed with Ti3C2Tx: Tribological and electrical erosion resistance","authors":"Bo Dai , Qian Jia , Bingbing Lai , Haichao Liu , Wenjing Lou , Xiaobo Wang","doi":"10.1016/j.triboint.2025.111318","DOIUrl":"10.1016/j.triboint.2025.111318","url":null,"abstract":"<div><div>The development of conductive greases with friction-reducing, anti-wear, and anti-electrical corrosion performance provides an effective solution to mitigate bearing electrical erosion in electrical vehicles. In this study, a titanium carbide MXene (Ti<sub>3</sub>C<sub>2</sub>T<sub>x</sub>)-based eutectic hydrogen-bonded thickener is successfully synthesized through micro-interface reactions by exploiting the different reaction rates of –NH<sub>3</sub>, H<sub>2</sub>O, and –CNO functional groups. Tribological experiments indicate that the hydrogen bonding within the Ti<sub>3</sub>C<sub>2</sub>T<sub>x</sub>-based eutectic thickener facilitates the co-release of the thickener and Ti<sub>3</sub>C<sub>2</sub>T<sub>x</sub> nanosheets at tribological interfaces, thereby enhancing the lubricating film thickness. Moreover, the M-0.5 system (Ti<sub>3</sub>C<sub>2</sub>T<sub>x</sub> concentration of 0.5 wt%) achieves a 91 % reduction in wear volume, significantly decreases contact resistance, and effectively mitigates electrical corrosion. This study presents a feasible strategy for the design of two-dimensional oil-soluble complexes for the protection of grease lubricated bearings.</div></div>","PeriodicalId":23238,"journal":{"name":"Tribology International","volume":"214 ","pages":"Article 111318"},"PeriodicalIF":6.1,"publicationDate":"2025-10-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145361980","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Liu Xianwei , Liu Junyang , Du Ting , Liu Yi , Guo chao , Fu Jiangfeng
{"title":"Investigation of transient mixed thermoelastohydrodynamic lubrication and wear coupled characteristics at the slipper/swash plate interface in aviation fuel piston pump","authors":"Liu Xianwei , Liu Junyang , Du Ting , Liu Yi , Guo chao , Fu Jiangfeng","doi":"10.1016/j.triboint.2025.111223","DOIUrl":"10.1016/j.triboint.2025.111223","url":null,"abstract":"<div><div>To address the lubrication–wear failure problem of the aviation fuel piston pump (AFPP) slipper/swash plate interface operating under extreme conditions of high pressure (<span><math><mrow><mn>20</mn><mspace></mspace><mi>MPa</mi></mrow></math></span>), high temperature (<span><math><mrow><mn>198</mn><mo>.</mo><mn>7</mn><mo>°</mo><mi>C</mi></mrow></math></span>), high rotational speed (<span><math><mrow><mn>4000</mn><mspace></mspace><mi>r/min</mi></mrow></math></span>), and low-viscosity medium (<span><math><mrow><mn>9</mn><mo>.</mo><mn>66</mn><mo>×</mo><mn>1</mn><msup><mrow><mn>0</mn></mrow><mrow><mo>−</mo><mn>4</mn></mrow></msup><mspace></mspace><mi>Pa⋅s</mi></mrow></math></span>), where an ultra-thin oil film (0.83 <span><math><mi>μ</mi></math></span> m) is formed. This study comprehensively considers bidirectional fluid–structure–thermal interaction (FSTI), pressure and temperature induced elastic deformation, thermo-viscous effects, and asperity elasto-plastic contact, and, for the first time, incorporates adhesive/abrasive wear mechanisms and the transient dynamics of an inclined piston–slipper assembly into the hydrodynamic (HD) lubrication process. A transient mixed thermo-elastohydrodynamic lubrication wear-coupled model (MTEHD-W) is established. The accuracy of the model is validated by comparing leakage flow rate and energy loss predictions from the MTEHD-W model, the HD model, and analytical solutions under identical operating and structural parameters. The effects of different operating conditions and sealing band widths on leakage flow rate, energy loss, and lubrication–wear coupled characteristics are analyzed. The results indicate that the deformation, oil film thickness, pressure, and temperature distributions predicted by the MTEHD-W model agree well with literature data and experimental measurements. Compared with the HD model, the MTEHD-W model with bidirectional FSTI reveals that the thermal elastic deformation of the tin–bronze slipper (0.20 <span><math><mi>μ</mi></math></span>m) is greater than its pressure-induced elastic deformation (0.03 <span><math><mi>μ</mi></math></span>m), resulting in outer-edge wear in the high-pressure region and inner-edge wear in the low-pressure region. As the film thickness decreases, the inner-edge wear (<span><math><mrow><mn>15</mn><mo>.</mo><mn>2</mn><mo>×</mo><mn>1</mn><msup><mrow><mn>0</mn></mrow><mrow><mo>−</mo><mn>6</mn></mrow></msup></mrow></math></span> <span><math><mi>μ</mi></math></span>m) exceeds the outer-edge wear (<span><math><mrow><mn>12</mn><mo>.</mo><mn>3</mn><mo>×</mo><mn>1</mn><msup><mrow><mn>0</mn></mrow><mrow><mo>−</mo><mn>6</mn></mrow></msup></mrow></math></span> <span><math><mi>μ</mi></math></span>m). This asymmetric wear pattern is highly consistent with actual slipper wear morphology and the results of optimal contour design.</div></div>","PeriodicalId":23238,"journal":{"name":"Tribology International","volume":"214 ","pages":"Article 111223"},"PeriodicalIF":6.1,"publicationDate":"2025-10-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145362046","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Friction and chemical action of deionized water on microscopic wear of sapphire surface","authors":"Hongguang Deng, Min Zhong, Meirong Yi, Xiaobing Li, Jianfeng Chen, Wenhu Xu","doi":"10.1016/j.triboint.2025.111320","DOIUrl":"10.1016/j.triboint.2025.111320","url":null,"abstract":"<div><div>Nano wear testing of C-directional single crystal sapphire was conducted using atomic force microscopy in deionized water. The friction and chemical action of deionized water on the micro wear of sapphire was studied by comparing it with the anhydrous ethanol environment. The experimental results indicate that deionized water has both positive and inhibitory action on the micro wear of sapphire materials. It is closely related to the sliding speed of the probe tip. In the low sliding speed range, deionized water has a negative influence on the surface wear of sapphire. When the sliding speed reaches 4 μm/s, the average wear depth of sapphire surface in deionized water is significantly improved. In addition, the influence of cycles on micro wear of sapphire surface is not related to the liquid environment of the contact interface. When the load is 0.24, 0.96, and 2.40 μN, the surface wear depth of sapphire in deionized water is 128 %, 48 %, and 35 % higher than that in anhydrous ethanol, respectively. The promoting effect of deionized water on the removal of sapphire is attributed to the Si-O-Al bridge bond formed between the silicon tip and the substrate. Besides, the soluble substance (Al(OH)<sub>4</sub><sup>-</sup>) is generated by the reaction between the sapphire surface and water. The research results can provide reference for understanding the mechanical and chemical wear of sapphire.</div></div>","PeriodicalId":23238,"journal":{"name":"Tribology International","volume":"214 ","pages":"Article 111320"},"PeriodicalIF":6.1,"publicationDate":"2025-10-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145323842","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Jiawei Wang , Zexi Shao , Ji Liu , Yugang Miao , Zhengwu Yao , Tao Jiang , Bintao Wu
{"title":"TiNiCuZrNbTa refractory high entropy alloy coatings fabricated using laser cladding: Microstructure and tribological behavior","authors":"Jiawei Wang , Zexi Shao , Ji Liu , Yugang Miao , Zhengwu Yao , Tao Jiang , Bintao Wu","doi":"10.1016/j.triboint.2025.111319","DOIUrl":"10.1016/j.triboint.2025.111319","url":null,"abstract":"<div><div>Aerospace copper alloy components typically require high wear resistance at surface connections to withstand substantial mechanical loads. In this study, a new refractory high-entropy alloy Ti<sub>35</sub>Ni<sub>34</sub>Cu<sub>10</sub>Zr<sub>10</sub>Nb<sub>8</sub>Ta<sub>3</sub> coating was fabricated on copper substrate via laser cladding and its microstructral characteristics and tribological behaviors were fully explored to enhance surface durability. The results show that the obtained coatings exhibit a dense, defect-free microstructure with strong interfacial bonding, composed predominantly of TiNb, TiCuNi, and Zr<sub>14</sub>Cu<sub>51</sub> phases. These features contributed to a significant improvement in wear resistance compared to conventional high entropy alloy. It is recognised that the presence of TiO<sub>2</sub>, ZrO<sub>2</sub>, Nb<sub>2</sub>O<sub>5</sub>, and Ta<sub>2</sub>O<sub>5</sub> in the composite structure promoted the formation of a stable oxide layer during wear. The synergistic deformation behavior of these metal oxides helped reduce strain localization, thereby enhancing the coating’s durability. The research outcomes establish a viable strategy for tailoring the surface architecture of copper-based components, offering a pathway toward extended operational lifespans in harsh environments.</div></div>","PeriodicalId":23238,"journal":{"name":"Tribology International","volume":"214 ","pages":"Article 111319"},"PeriodicalIF":6.1,"publicationDate":"2025-10-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145323843","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Zhanghao Yang , Shurui Huang , Lei Lei , Qiwei Zhu , Shaohu Liu , Ming Yang , Runqi Zhang , Yan Xiong , Wenxing yang
{"title":"Tailoring an abnormal gradient with nano-dislocation networks via hybrid laser-quenching/USRP: A breakthrough in wear resistance of steel","authors":"Zhanghao Yang , Shurui Huang , Lei Lei , Qiwei Zhu , Shaohu Liu , Ming Yang , Runqi Zhang , Yan Xiong , Wenxing yang","doi":"10.1016/j.triboint.2025.111313","DOIUrl":"10.1016/j.triboint.2025.111313","url":null,"abstract":"<div><div>Dynamic sealing interfaces of petroleum plug valves suffer severe wear-induced failure under extreme conditions, necessitating alternatives to traditional carburization—a process limited by interfacial brittleness, multi-step pollution, and low automation. This study proposes a hybrid process combining Laser Quenching (LQ) and Ultrasonic Surface Rolling Process (USRP) to fabricate a multiscale-strengthened layer on AISI 4140 steel. The layer exhibits a unique \"anomalous grain gradient–nano dislocation architecture\" accompanied by carbon supersaturation. While LQ produces a hardened layer reaching 800 μm in depth, thermal boundary effects lead to anomalous grain coarsening at the surface (surface martensite: 2.74 μm vs. subsurface: 1.58 μm). USRP effectively counteracts this through high-frequency dynamic strain, implanting a high-density nano-dislocation network into coarse martensite. This results in an exceptional nanohardness exceeding 10 GPa, challenging the classical \"coarse-grain softening\" paradigm. The wear volume is reduced by 74.4 %, attributed to three synergistic mechanisms: an ultra-high strength barrier (combining nano-dislocation cell pinning and carbon-supersaturated martensite) that confines plastic deformation to sub-micron depths, suppressing material loss at its source; a hard gradient-supported tribo-oxide layer reducing friction and preventing direct metallic contact; and a wear-adaptive response involving dislocation-cell-catalyzed martensite nanonization and stress-induced ω phase transformation, establishing a self-reinforcing cycle of \"damage→nanonization/phase transformation→hardening\". These mechanisms achieve profound coupling through a \"pre-engineered gradient–hard substrate-supported oxide formation–dynamic adaptive response\" framework. This work advances theoretical understanding of non-equilibrium structural evolution under multi-field coupling while delivering an adaptive, transformative, and environmentally sustainable surface strengthening solution for petroleum valves and critical engineering components.</div></div>","PeriodicalId":23238,"journal":{"name":"Tribology International","volume":"214 ","pages":"Article 111313"},"PeriodicalIF":6.1,"publicationDate":"2025-10-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145319860","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A nonlinear dynamic model for non-contact mechanical seals with fluid-solid-thermal coupling effects","authors":"Xiang Zhao, Ying Liu, Hongju Li","doi":"10.1016/j.triboint.2025.111311","DOIUrl":"10.1016/j.triboint.2025.111311","url":null,"abstract":"<div><div>The dynamic characteristics of non-contact mechanical seals are affected by multi-physics and secondary seal non-linearities, which are ignored in traditional dynamic models. As a result, it struggles to accurately predict dynamic response of sealing systems under actual operating environments. To overcome these limitations, this work aims to propose an advanced dynamic model that integrates the fluid-thermal-solid coupling and nonlinearities of secondary seal. Based on the results of steady-state multi-physics coupling calculations, the transient data set of the primary seal is obtained using the perturbation method. A surrogate model between film thickness and dynamic parameters is established using machine learning method. The existing nonlinear model of the secondary seals is discretized and expressed numerically. A co-simulation solution method of the dynamic model is introduced to enable rapid calculation of dynamic responses. To verify the accuracy of the model, a novel method to measure performance parameters and dynamic responses of the mechanical seal is also proposed by applying force perturbation. The effectiveness of the proposed model is proven through comparisons with several experiments. The analysis reveals that the sealing system has good interference resistance and stability with design parameters. The hysteresis effect of the secondary seal is one of the key factors affecting tracking performance, which increases the risk of end-face wear and excessive leakage. This work provides theoretical guidance for multi-physics coupling and dynamic modelling of non-contact mechanical seals, laying the model and method foundation for failure analysis.</div></div>","PeriodicalId":23238,"journal":{"name":"Tribology International","volume":"214 ","pages":"Article 111311"},"PeriodicalIF":6.1,"publicationDate":"2025-10-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145323845","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}