Pub Date : 2024-01-26DOI: 10.1007/s10483-024-3077-9
L. Kuzmina, Y. Osipov, A. Pesterev
{"title":"Deep bed filtration model for cake filtration and erosion","authors":"L. Kuzmina, Y. Osipov, A. Pesterev","doi":"10.1007/s10483-024-3077-9","DOIUrl":"https://doi.org/10.1007/s10483-024-3077-9","url":null,"abstract":"","PeriodicalId":8341,"journal":{"name":"Applied Mathematics and Mechanics","volume":"46 5","pages":"355-372"},"PeriodicalIF":0.0,"publicationDate":"2024-01-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140492979","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-01-01DOI: 10.21656/1000-0887.430070
Li Yang, Yan Dongmei, Liu Lei
{"title":"UGV Path Programming Based on the DQN With Noise in the Output Layer","authors":"Li Yang, Yan Dongmei, Liu Lei","doi":"10.21656/1000-0887.430070","DOIUrl":"https://doi.org/10.21656/1000-0887.430070","url":null,"abstract":"","PeriodicalId":8341,"journal":{"name":"Applied Mathematics and Mechanics","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67810680","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-01-01DOI: 10.21656/1000-0887.430160
Liu Dan, Wang Yan, Ren Xin-zhi, Liu Xian-ning
{"title":"An infectious disease model with media coverage and limited medical resources","authors":"Liu Dan, Wang Yan, Ren Xin-zhi, Liu Xian-ning","doi":"10.21656/1000-0887.430160","DOIUrl":"https://doi.org/10.21656/1000-0887.430160","url":null,"abstract":"","PeriodicalId":8341,"journal":{"name":"Applied Mathematics and Mechanics","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67811666","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-01-01DOI: 10.21656/1000-0887.430134
Z. Yi, Tian Xiaogeng
{"title":"Thermomechanical Responses of YSZ Under Ultrashort Thermal Shock Based on the L-S Generalized Thermoelastic Theory","authors":"Z. Yi, Tian Xiaogeng","doi":"10.21656/1000-0887.430134","DOIUrl":"https://doi.org/10.21656/1000-0887.430134","url":null,"abstract":"","PeriodicalId":8341,"journal":{"name":"Applied Mathematics and Mechanics","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67811960","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-01-01DOI: 10.21656/1000-0887.430148
Liu Fan, LI Lixiang, Zhao Yan
{"title":"Dynamic Responses Analysis of Bridges With Uncertain Parameters Under Moving Loads","authors":"Liu Fan, LI Lixiang, Zhao Yan","doi":"10.21656/1000-0887.430148","DOIUrl":"https://doi.org/10.21656/1000-0887.430148","url":null,"abstract":"","PeriodicalId":8341,"journal":{"name":"Applied Mathematics and Mechanics","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67812056","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-01-01DOI: 10.21656/1000-0887.430228
L. Chunmei, Yang Xujun, WU Xiang
{"title":"Projective Synchronization of Fractional Quaternion Neural Networks With Time-Varying Delays","authors":"L. Chunmei, Yang Xujun, WU Xiang","doi":"10.21656/1000-0887.430228","DOIUrl":"https://doi.org/10.21656/1000-0887.430228","url":null,"abstract":"","PeriodicalId":8341,"journal":{"name":"Applied Mathematics and Mechanics","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67812840","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-01-01DOI: 10.21656/1000-0887.430257
Liu Wenjie, Wang Hanquan
{"title":"The Legendre Collocation Spectral Method for the Ground State Solutions of the Bose-Einstein Condensates","authors":"Liu Wenjie, Wang Hanquan","doi":"10.21656/1000-0887.430257","DOIUrl":"https://doi.org/10.21656/1000-0887.430257","url":null,"abstract":"","PeriodicalId":8341,"journal":{"name":"Applied Mathematics and Mechanics","volume":"24 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67813147","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-01-01DOI: 10.21656/1000-0887.430384
Wang Qingshan, Yan Bo, Chen Yan, Deng Mao, Cai Yuanbin
{"title":"A Digital Twin Method for Dynamic Structures Based on Reduced Order Models and Data Driving","authors":"Wang Qingshan, Yan Bo, Chen Yan, Deng Mao, Cai Yuanbin","doi":"10.21656/1000-0887.430384","DOIUrl":"https://doi.org/10.21656/1000-0887.430384","url":null,"abstract":"","PeriodicalId":8341,"journal":{"name":"Applied Mathematics and Mechanics","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67815191","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-01-01DOI: 10.21656/1000-0887.430330
TIAN Yaping, YANG Jianghui, WANG Ruibang
Aimed at the coupling transition relationship between the periodic motion, the tooth surface impact, the non-meshing state and the dynamic load of straight bevel gear systems with backlash, the 2-parameter plane with respect to the time-varying meshing stiffness and the frequency ratio was built based on the cell mapping principle. Besides, the improved CPNF (continuous-Poincaré-Newton-Floquet) method was applied to solve the solution domain structure of the periodicity, impact, non-meshing and dynamic load characteristics of the system cells. The simulation results show that, there are plentiful bifurcation modes with 3 kinds of tooth surface impacts coexisting in the 2-parameter solution domain structure, including the saddle node bifurcation, the Hopf bifurcation, the period-doubling bifurcation, the catastrophe bifurcation and the period-3 bifurcation. The tooth surface impact and chaos will intensify due to increase of the time-varying meshing stiffness coefficient. The tooth surface non-meshing, the tooth back meshing and the dynamic load coefficient will exhibit mutations under the influences of the tooth impact and the periodic motion. Meanwhile, in the same domain, the tooth surface non-meshing and the tooth back meshing will weaken with the frequency ratio but heighten with the stiffness coefficient.
针对带间隙直齿锥齿轮系统的周期运动、齿面冲击、非啮合状态和动载荷之间的耦合过渡关系，基于单元映射原理建立了时变啮合刚度和频率比的二参数平面。此外，采用改进的CPNF (continuous- poincar - newton - floquet)方法求解了系统单元的周期性、冲击性、非啮合性和动载荷特性的解域结构。仿真结果表明，在2参数解域结构中存在丰富的3种齿面冲击共存的分岔模式，包括鞍节点分岔、Hopf分岔、倍周期分岔、突变分岔和3周期分岔。时变啮合刚度系数的增大会加剧齿面冲击和混沌。齿面不啮合、齿背啮合和动载荷系数在齿面碰撞和周期运动的影响下会发生突变。同时，在同一域内，齿面非啮合和齿背啮合随频率比的增大而减弱，随刚度系数的增大而增大。
{"title":"Parametric Solution Domain Structures for Bifurcation and Non-Meshing Dynamic Characteristics of Straight Bevel Gear Systems","authors":"TIAN Yaping, YANG Jianghui, WANG Ruibang","doi":"10.21656/1000-0887.430330","DOIUrl":"https://doi.org/10.21656/1000-0887.430330","url":null,"abstract":"Aimed at the coupling transition relationship between the periodic motion, the tooth surface impact, the non-meshing state and the dynamic load of straight bevel gear systems with backlash, the 2-parameter plane with respect to the time-varying meshing stiffness and the frequency ratio was built based on the cell mapping principle. Besides, the improved CPNF (continuous-Poincaré-Newton-Floquet) method was applied to solve the solution domain structure of the periodicity, impact, non-meshing and dynamic load characteristics of the system cells. The simulation results show that, there are plentiful bifurcation modes with 3 kinds of tooth surface impacts coexisting in the 2-parameter solution domain structure, including the saddle node bifurcation, the Hopf bifurcation, the period-doubling bifurcation, the catastrophe bifurcation and the period-3 bifurcation. The tooth surface impact and chaos will intensify due to increase of the time-varying meshing stiffness coefficient. The tooth surface non-meshing, the tooth back meshing and the dynamic load coefficient will exhibit mutations under the influences of the tooth impact and the periodic motion. Meanwhile, in the same domain, the tooth surface non-meshing and the tooth back meshing will weaken with the frequency ratio but heighten with the stiffness coefficient.","PeriodicalId":8341,"journal":{"name":"Applied Mathematics and Mechanics","volume":"26 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135838753","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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