Fractional-Order Gas Film Model
In this paper, a fractional-order model of the gas film is proposed for the dynamic characteristics of an air bearing. Based on the dynamic characteristics common between gas film and viscoelastic body, the idea of the fractional-order equivalent modeling of the dynamic characteristics of the gas fi...
Saved in:
| Published in | Fractal and fractional Vol. 6; no. 10; p. 561 |
|---|---|
| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
Basel
MDPI AG
01.10.2022
|
| Subjects | |
| Online Access | Get full text |
| ISSN | 2504-3110 2504-3110 |
| DOI | 10.3390/fractalfract6100561 |
Cover
| Abstract | In this paper, a fractional-order model of the gas film is proposed for the dynamic characteristics of an air bearing. Based on the dynamic characteristics common between gas film and viscoelastic body, the idea of the fractional-order equivalent modeling of the dynamic characteristics of the gas film is presented to improve the modeling accuracy. Four fractional-order gas film (FOGF) models are introduced based on generalization of traditional viscoelastic models. The analysis of the characteristics of the FOGF models shows that the FOGF model can capture more complex dynamic characteristics and fit the real dynamic data of the gas film better than traditional models. A genetic algorithm particle swarm optimization (GA-PSO) method is used for parameter identification of the proposed models. The experimental results tested on the air bearing motion platform show that the FOGF models are superior in accuracy to the traditional equivalent models for the gas film. In particular, the fractional-order Maxwell gas film (FOMGF) model has the best capture accuracy compared to the other FOGF models and traditional models. |
|---|---|
| AbstractList | In this paper, a fractional-order model of the gas film is proposed for the dynamic characteristics of an air bearing. Based on the dynamic characteristics common between gas film and viscoelastic body, the idea of the fractional-order equivalent modeling of the dynamic characteristics of the gas film is presented to improve the modeling accuracy. Four fractional-order gas film (FOGF) models are introduced based on generalization of traditional viscoelastic models. The analysis of the characteristics of the FOGF models shows that the FOGF model can capture more complex dynamic characteristics and fit the real dynamic data of the gas film better than traditional models. A genetic algorithm particle swarm optimization (GA-PSO) method is used for parameter identification of the proposed models. The experimental results tested on the air bearing motion platform show that the FOGF models are superior in accuracy to the traditional equivalent models for the gas film. In particular, the fractional-order Maxwell gas film (FOMGF) model has the best capture accuracy compared to the other FOGF models and traditional models. |
| Author | Tang, Xu Luo, Ying Han, Bin |
| Author_xml | – sequence: 1 givenname: Xu orcidid: 0000-0001-9789-5266 surname: Tang fullname: Tang, Xu – sequence: 2 givenname: Ying orcidid: 0000-0002-7006-2122 surname: Luo fullname: Luo, Ying – sequence: 3 givenname: Bin orcidid: 0000-0002-0049-822X surname: Han fullname: Han, Bin |
| BookMark | eNqNkE1Lw0AQhhepYK39BR4seI7OfjSbPUqxtaD0oudl9iOSss3WTYr035s2IiKCHoYZhnmfd3jPyaCOtSfkksIN5wpuy4S2xXBsOQWY5vSEDNkURMYphcG3-YyMm2YNAEwqPgU5JFfzg6yKNYZslZxPkwU2k3kVNpOn6Hy4IKclhsaPP_uIvMzvn2cP2eNqsZzdPWaWF0WbKaRUeo7egcHSlgylcMiooF0hCu-VUxa8NZZT5hRy7tCIIjeyACEMH5Flz3UR13qbqg2mvY5Y6eMipleNqa1s8NoCs1a4goMxQuVCcedkzqXzBYPciI4letau3uL-HUP4AlLQh8z0L5l1sutetk3xbeebVq_jLnXBNJpJVghJaec1Iqq_sik2TfKltlWLhwTbhFX4w4H_0P7nrw9I95Qn |
| CitedBy_id | crossref_primary_10_1016_j_ymssp_2024_111817 |
| Cites_doi | 10.1109/TEVC.2009.2021465 10.1243/13506501JET698 10.1016/j.precisioneng.2012.01.002 10.1016/j.ceramint.2013.10.003 10.1016/j.conbuildmat.2022.127181 10.3390/ma14092121 10.1007/s11071-020-05652-0 10.1007/s11042-020-10139-6 10.1088/0957-0233/26/8/085904 10.1016/j.chemolab.2015.08.020 10.1016/S0032-3861(98)00168-2 10.1007/s00170-016-9024-3 10.1080/00423114.2022.2057864 10.1016/j.triboint.2011.08.014 10.1016/j.crme.2009.09.002 10.1016/j.nonrwa.2007.12.004 10.1016/j.precisioneng.2004.11.011 10.1016/S0924-9338(99)80675-0 10.1115/1.4032911 10.1016/0967-0661(96)00109-8 10.1016/j.ijepes.2022.108208 10.1109/TIA.2003.814558 10.1111/j.1365-246X.1967.tb02303.x 10.1016/j.mechrescom.2019.03.004 10.1108/ILT-09-2015-0134 10.1016/j.apacoust.2004.10.004 10.1016/j.isatra.2017.04.014 10.1007/s40430-020-02616-8 10.1016/j.triboint.2007.08.001 10.4028/www.scientific.net/AMR.346.332 10.1016/j.cnsns.2012.02.009 10.1080/10402004.2021.1875091 10.1016/j.triboint.2017.05.008 10.1007/s40819-016-0246-8 10.1063/1.4994906 10.1016/j.triboint.2016.07.026 10.1016/j.polymer.2018.03.039 10.1016/j.precisioneng.2008.06.003 10.1007/s11043-021-09534-9 10.1115/1.1308027 10.1115/1.1308031 10.1007/978-3-642-18101-6 10.1016/j.ijmecsci.2013.03.006 10.1109/JAS.2016.7508804 10.1016/j.matpr.2021.07.480 10.1016/j.triboint.2020.106849 10.1016/j.cemconcomp.2007.08.013 10.2174/18750362021140100114 10.3390/e23050633 10.1109/MEMSTECH53091.2021.9468027 10.1016/0043-1648(95)06782-5 10.1016/j.precisioneng.2019.08.014 10.1115/1.1509770 10.1016/j.triboint.2019.05.047 10.1016/j.chaos.2020.110283 |
| ContentType | Journal Article |
| Copyright | 2022 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. |
| Copyright_xml | – notice: 2022 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. |
| DBID | AAYXX CITATION 8FE 8FG ABJCF ABUWG AFKRA AZQEC BENPR BGLVJ CCPQU COVID DWQXO HCIFZ L6V M7S PHGZM PHGZT PIMPY PKEHL PQEST PQGLB PQQKQ PQUKI PRINS PTHSS ADTOC UNPAY DOA |
| DOI | 10.3390/fractalfract6100561 |
| DatabaseName | CrossRef ProQuest SciTech Collection ProQuest Technology Collection Materials Science & Engineering Collection ProQuest Central (Alumni) ProQuest Central UK/Ireland ProQuest Central Essentials ProQuest Central Technology Collection ProQuest One Coronavirus Research Database ProQuest Central SciTech Premium Collection ProQuest Engineering Collection Engineering Database Proquest Central Premium ProQuest One Academic Publicly Available Content Database ProQuest One Academic Middle East (New) ProQuest One Academic Eastern Edition (DO NOT USE) ProQuest One Applied & Life Sciences ProQuest One Academic ProQuest One Academic UKI Edition ProQuest Central China Engineering Collection Unpaywall for CDI: Periodical Content Unpaywall DOAJ Directory of Open Access Journals |
| DatabaseTitle | CrossRef Publicly Available Content Database Engineering Database Technology Collection ProQuest One Academic Middle East (New) ProQuest Central Essentials ProQuest One Academic Eastern Edition Coronavirus Research Database ProQuest Central (Alumni Edition) SciTech Premium Collection ProQuest One Community College ProQuest Technology Collection ProQuest SciTech Collection ProQuest Central China ProQuest Central ProQuest One Applied & Life Sciences ProQuest Engineering Collection ProQuest One Academic UKI Edition ProQuest Central Korea Materials Science & Engineering Collection ProQuest Central (New) ProQuest One Academic ProQuest One Academic (New) Engineering Collection |
| DatabaseTitleList | CrossRef Publicly Available Content Database |
| Database_xml | – sequence: 1 dbid: DOA name: DOAJ Directory of Open Access Journals url: https://www.doaj.org/ sourceTypes: Open Website – sequence: 2 dbid: UNPAY name: Unpaywall url: https://proxy.k.utb.cz/login?url=https://unpaywall.org/ sourceTypes: Open Access Repository – sequence: 3 dbid: 8FG name: ProQuest Technology Collection url: https://search.proquest.com/technologycollection1 sourceTypes: Aggregation Database |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Mathematics |
| EISSN | 2504-3110 |
| ExternalDocumentID | oai_doaj_org_article_c02cc4d830bb496493dd7637de8206b4 10.3390/fractalfract6100561 10_3390_fractalfract6100561 |
| GroupedDBID | 8FE 8FG AADQD AAFWJ AAYXX ABJCF ADBBV AFKRA AFPKN AFZYC ALMA_UNASSIGNED_HOLDINGS BCNDV BENPR BGLVJ CCPQU CITATION GROUPED_DOAJ HCIFZ IAO IGS ITC L6V M7S MODMG M~E OK1 PHGZM PHGZT PIMPY PQGLB PROAC PTHSS ABUWG AZQEC COVID DWQXO PKEHL PQEST PQQKQ PQUKI PRINS ADTOC UNPAY |
| ID | FETCH-LOGICAL-c388t-9a117e3aed0bafcf2a74da2141214aa4ee9d9c0ecbc312d9a33dab486b78044b3 |
| IEDL.DBID | UNPAY |
| ISSN | 2504-3110 |
| IngestDate | Fri Oct 03 12:53:52 EDT 2025 Sun Oct 26 03:35:04 EDT 2025 Fri Jul 25 11:53:53 EDT 2025 Thu Oct 16 04:39:41 EDT 2025 Thu Apr 24 22:58:15 EDT 2025 |
| IsDoiOpenAccess | true |
| IsOpenAccess | true |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 10 |
| Language | English |
| License | cc-by |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c388t-9a117e3aed0bafcf2a74da2141214aa4ee9d9c0ecbc312d9a33dab486b78044b3 |
| Notes | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 |
| ORCID | 0000-0002-7006-2122 0000-0001-9789-5266 0000-0002-0049-822X |
| OpenAccessLink | https://proxy.k.utb.cz/login?url=https://www.mdpi.com/2504-3110/6/10/561/pdf?version=1666658387 |
| PQID | 2728471149 |
| PQPubID | 2055410 |
| ParticipantIDs | doaj_primary_oai_doaj_org_article_c02cc4d830bb496493dd7637de8206b4 unpaywall_primary_10_3390_fractalfract6100561 proquest_journals_2728471149 crossref_citationtrail_10_3390_fractalfract6100561 crossref_primary_10_3390_fractalfract6100561 |
| PublicationCentury | 2000 |
| PublicationDate | 2022-10-01 |
| PublicationDateYYYYMMDD | 2022-10-01 |
| PublicationDate_xml | – month: 10 year: 2022 text: 2022-10-01 day: 01 |
| PublicationDecade | 2020 |
| PublicationPlace | Basel |
| PublicationPlace_xml | – name: Basel |
| PublicationTitle | Fractal and fractional |
| PublicationYear | 2022 |
| Publisher | MDPI AG |
| Publisher_xml | – name: MDPI AG |
| References | Lin (ref_65) 2005; 66 Lischke (ref_49) 2019; 3 Shah (ref_50) 2017; 3 Tang (ref_66) 2003; 39 Corbett (ref_17) 2014; 40 Yu (ref_7) 2006; 42592 Nabi (ref_44) 2020; 141 Yoshimoto (ref_25) 2001; 123 ref_53 Premalatha (ref_57) 2009; 2 Nadzharyan (ref_39) 2018; 142 Kang (ref_18) 2001; 123 ref_59 Katoch (ref_60) 2021; 80 Jia (ref_27) 2017; 69 Siewert (ref_63) 2000; 1380 Maamari (ref_24) 2019; 138 Sotomayor (ref_38) 2022; 49 ref_68 Jayson (ref_6) 2003; 125 Wu (ref_16) 2020; 100 Caputo (ref_54) 1967; 13 Charki (ref_10) 2013; 72 Bhat (ref_9) 2012; 36 (ref_34) 2009; 33 Torge (ref_52) 1998; 13 Chen (ref_3) 2017; 88 Sahraoui (ref_35) 2019; 96 Marini (ref_61) 2015; 149 Alcoutlabi (ref_40) 1998; 39 Liang (ref_36) 2022; 329 Geng (ref_2) 2017; 88 Wang (ref_12) 2016; 103 ref_31 Oiwa (ref_26) 2012; 48 ref_30 Cui (ref_19) 2017; 115 Panzera (ref_21) 2008; 30 Heshmat (ref_13) 2016; 138 (ref_20) 2009; 10 ref_37 Shymanskyi (ref_45) 2021; 14 Stutzle (ref_62) 2009; 13 Chen (ref_56) 2016; 3 Oustaloup (ref_55) 1996; 4 Park (ref_22) 2008; 41 Gao (ref_11) 2021; 156 ref_47 ref_46 ref_43 Mallisetty (ref_15) 2020; 42 Fourka (ref_28) 1996; 198 ref_42 Ali (ref_64) 2010; 224 Krijnen (ref_4) 2018; 82 Jiang (ref_32) 2012; Volume 346 ref_41 Bos (ref_5) 2015; 26 Yang (ref_14) 2021; 64 ref_1 Plante (ref_29) 2005; 29 Arghir (ref_33) 2009; 337 ref_48 Zhou (ref_67) 2020; 2020 ref_8 Ishibashi (ref_23) 2019; 60 Li (ref_51) 2012; 17 He (ref_58) 2022; 141 |
| References_xml | – volume: 13 start-page: 1120 year: 2009 ident: ref_62 article-title: Frankenstein’s PSO: A composite particle swarm optimization algorithm publication-title: IEEE Trans. Evol. Comput. doi: 10.1109/TEVC.2009.2021465 – volume: 224 start-page: 659 year: 2010 ident: ref_64 article-title: Experimental studies on the dynamic characteristics of rolling element bearings publication-title: Proc. Inst. Mech. Eng. Part J J. Eng. Tribol. doi: 10.1243/13506501JET698 – volume: 36 start-page: 399 year: 2012 ident: ref_9 article-title: Performance of inherently compensated flat pad aerostatic bearings subject to dynamic perturbation forces publication-title: Precis. Eng. doi: 10.1016/j.precisioneng.2012.01.002 – volume: 40 start-page: 3041 year: 2014 ident: ref_17 article-title: Permeability and dynamic elastic moduli of controlled porosity ultra-precision aerostatic structures publication-title: Ceram. Int. doi: 10.1016/j.ceramint.2013.10.003 – volume: 329 start-page: 127181 year: 2022 ident: ref_36 article-title: Improved Maxwell model with structural dashpot for characterization of ultraslow creep in concrete publication-title: Constr. Build. Mater. doi: 10.1016/j.conbuildmat.2022.127181 – ident: ref_46 doi: 10.3390/ma14092121 – volume: 100 start-page: 2265 year: 2020 ident: ref_16 article-title: Investigations on the nonlinear dynamic characteristics of a rotor supported by porous tilting pad bearings publication-title: Nonlinear Dyn. doi: 10.1007/s11071-020-05652-0 – ident: ref_42 – ident: ref_1 – volume: 3 start-page: 157 year: 2019 ident: ref_49 article-title: Spectral and spectral element methods for fractional advection–diffusion–reaction equations publication-title: Handb. Fract. Calc. Appl. Numer. Methods – volume: 80 start-page: 8091 year: 2021 ident: ref_60 article-title: A review on genetic algorithm: Past, present, and future publication-title: Multimed. Tools Appl. doi: 10.1007/s11042-020-10139-6 – volume: 26 start-page: 085904 year: 2015 ident: ref_5 article-title: Design and verification of an ultra-precision 3D-coordinate measuring machine with parallel drives publication-title: Meas. Sci. Technol. doi: 10.1088/0957-0233/26/8/085904 – ident: ref_8 – volume: 149 start-page: 153 year: 2015 ident: ref_61 article-title: Particle swarm optimization (PSO). A tutorial publication-title: Chemom. Intell. Lab. Syst. doi: 10.1016/j.chemolab.2015.08.020 – volume: 39 start-page: 6269 year: 1998 ident: ref_40 article-title: Application of fractional calculus to viscoelastic behavior modeling and to the physical ageing phenomenon in glassy amorphous polymers publication-title: Polymer doi: 10.1016/S0032-3861(98)00168-2 – volume: 88 start-page: 3233 year: 2017 ident: ref_3 article-title: Influence of ultra-precision flycutting spindle error on surface frequency domain error formation publication-title: Int. J. Adv. Manuf. Technol. doi: 10.1007/s00170-016-9024-3 – ident: ref_68 doi: 10.1080/00423114.2022.2057864 – volume: 48 start-page: 2 year: 2012 ident: ref_26 article-title: Deformation and flying height orbit of glass sheets on aerostatic porous bearing guides publication-title: Tribol. Int. doi: 10.1016/j.triboint.2011.08.014 – ident: ref_48 – volume: 337 start-page: 739 year: 2009 ident: ref_33 article-title: Compressibility effects on the dynamic characteristics of gas lubricated mechanical components publication-title: Comptes Rendus Mécanique doi: 10.1016/j.crme.2009.09.002 – volume: 10 start-page: 1114 year: 2009 ident: ref_20 article-title: Chaotic response and bifurcation analysis of a flexible rotor supported by porous and non-porous bearings with nonlinear suspension publication-title: Nonlinear Anal. Real World Appl. doi: 10.1016/j.nonrwa.2007.12.004 – volume: 29 start-page: 336 year: 2005 ident: ref_29 article-title: A design model for circular porous air bearings using the 1D generalized flow method publication-title: Precis. Eng. doi: 10.1016/j.precisioneng.2004.11.011 – volume: 13 start-page: 321s year: 1998 ident: ref_52 article-title: Numerische klassifikation psychopathologischer daten mittels der logistischen Regression publication-title: Eur. Psychiatry doi: 10.1016/S0924-9338(99)80675-0 – ident: ref_41 – volume: 138 start-page: 041703 year: 2016 ident: ref_13 article-title: Starved Hydrodynamic Gas Foil Bearings—Experiment, Micromechanical Phenomenon, and Hypotheses publication-title: J. Tribol. doi: 10.1115/1.4032911 – volume: 4 start-page: 1101 year: 1996 ident: ref_55 article-title: The CRONE suspension publication-title: Control Eng. Pract. doi: 10.1016/0967-0661(96)00109-8 – volume: 141 start-page: 108208 year: 2022 ident: ref_58 article-title: Coordinated design of PSS and STATCOM-POD based on the GA-PSO algorithm to improve the stability of wind-PV-thermal-bundled power system publication-title: Int. J. Electr. Power Energy Syst. doi: 10.1016/j.ijepes.2022.108208 – ident: ref_59 – volume: 42592 start-page: 891 year: 2006 ident: ref_7 article-title: Contact Induced Off-Track Vibrations of Air Bearing-Slider-Suspension System in Hard Disk Drives publication-title: Proc. Int. Jt. Tribol. Conf. – ident: ref_53 – volume: 39 start-page: 978 year: 2003 ident: ref_66 article-title: Vibration prediction in switched reluctance motors with transfer function identification from shaker and force hammer tests publication-title: IEEE Trans. Ind. Appl. doi: 10.1109/TIA.2003.814558 – volume: 13 start-page: 529 year: 1967 ident: ref_54 article-title: Linear models of dissipation whose Q is almost frequency independent—II publication-title: Geophys. J. Int. doi: 10.1111/j.1365-246X.1967.tb02303.x – ident: ref_30 – volume: 96 start-page: 62 year: 2019 ident: ref_35 article-title: On fractional modeling of viscoelastic foams publication-title: Mech. Res. Commun. doi: 10.1016/j.mechrescom.2019.03.004 – volume: 69 start-page: 123 year: 2017 ident: ref_27 article-title: Analysis of dynamic characteristics and stability prediction of gas bearings publication-title: Ind. Lubr. Tribol. doi: 10.1108/ILT-09-2015-0134 – volume: 66 start-page: 829 year: 2005 ident: ref_65 article-title: Evaluation of frequency dependent rubber mount stiffness and damping by impact test publication-title: Appl. Acoust. doi: 10.1016/j.apacoust.2004.10.004 – volume: 82 start-page: 172 year: 2018 ident: ref_4 article-title: The application of fractional-order control for an air-based contactless actuation system publication-title: ISA Trans. doi: 10.1016/j.isatra.2017.04.014 – volume: 42 start-page: 1 year: 2020 ident: ref_15 article-title: Nonlinear transient analysis of rigid rotor mounted on externally pressurized double-layered porous gas journal bearings accounting velocity slip publication-title: J. Braz. Soc. Mech. Sci. Eng. doi: 10.1007/s40430-020-02616-8 – volume: 41 start-page: 282 year: 2008 ident: ref_22 article-title: Theoretical considerations of static and dynamic characteristics of air foil thrust bearing with tilt and slip flow publication-title: Tribol. Int. doi: 10.1016/j.triboint.2007.08.001 – volume: Volume 346 start-page: 332 year: 2012 ident: ref_32 article-title: Roll Vibration Analysis of Planar Aerostatic Bearings through a Distributed Spring Model publication-title: Advanced Materials Research doi: 10.4028/www.scientific.net/AMR.346.332 – volume: 17 start-page: 3934 year: 2012 ident: ref_51 article-title: Numerical solution of fractional differential equations using cubic B-spline wavelet collocation method publication-title: Commun. Nonlinear Sci. Numer. Simul. doi: 10.1016/j.cnsns.2012.02.009 – volume: 64 start-page: 981 year: 2021 ident: ref_14 article-title: On Tilting Pad Carbon–Graphite Porous Journal Bearings: Measurements of Imbalance Response and Comparison to Predictions of Bearing Performance and System Dynamic Response publication-title: Tribol. Trans. doi: 10.1080/10402004.2021.1875091 – volume: 115 start-page: 246 year: 2017 ident: ref_19 article-title: Effects of manufacturing errors on the static characteristics of aerostatic journal bearings with porous restrictor publication-title: Tribol. Int. doi: 10.1016/j.triboint.2017.05.008 – volume: 3 start-page: 2423 year: 2017 ident: ref_50 article-title: Numerical solution of fractional differential equations using Haar wavelet operational matrix method publication-title: Int. J. Appl. Comput. Math. doi: 10.1007/s40819-016-0246-8 – volume: 88 start-page: 115109 year: 2017 ident: ref_2 article-title: A novel AFM-based 5-axis nanoscale machine tool for fabrication of nanostructures on a micro ball publication-title: Rev. Sci. Instruments doi: 10.1063/1.4994906 – volume: 103 start-page: 394 year: 2016 ident: ref_12 article-title: Effect of surface waviness on the static performance of aerostatic journal bearings publication-title: Tribol. Int. doi: 10.1016/j.triboint.2016.07.026 – volume: 142 start-page: 316 year: 2018 ident: ref_39 article-title: Fractional rheological models of dynamic mechanical behavior of magnetoactive elastomers in magnetic fields publication-title: Polymer doi: 10.1016/j.polymer.2018.03.039 – volume: 1380 start-page: 3 year: 2000 ident: ref_63 article-title: The history and importance of impact testing publication-title: ASTM Spec. Tech. Publ. – volume: 33 start-page: 117 year: 2009 ident: ref_34 article-title: On the modeling of the dynamic characteristics of aerostatic bearing films: From stability analysis to active compensation publication-title: Precis. Eng. doi: 10.1016/j.precisioneng.2008.06.003 – ident: ref_37 doi: 10.1007/s11043-021-09534-9 – volume: 123 start-page: 501 year: 2001 ident: ref_25 article-title: Static and dynamic characteristics of aerostatic circular porous thrust bearings (effect of the shape of the air supply area) publication-title: J. Trib. doi: 10.1115/1.1308027 – volume: 123 start-page: 541 year: 2001 ident: ref_18 article-title: Optimal design of HDD air-lubricated slider bearings for improving dynamic characteristics and operating performance publication-title: J. Trib. doi: 10.1115/1.1308031 – ident: ref_43 doi: 10.1007/978-3-642-18101-6 – volume: 72 start-page: 28 year: 2013 ident: ref_10 article-title: Numerical simulation and experimental study of thrust air bearings with multiple orifices publication-title: Int. J. Mech. Sci. doi: 10.1016/j.ijmecsci.2013.03.006 – volume: 3 start-page: 288 year: 2016 ident: ref_56 article-title: Fractional modeling and analysis of coupled MR damping system publication-title: IEEE/CAA J. Autom. Sin. doi: 10.1109/JAS.2016.7508804 – volume: 49 start-page: 107 year: 2022 ident: ref_38 article-title: Numerical study of the viscoelastic mechanical response of polystyrene in the process of thermoforming through the generalized Maxwell model publication-title: Mater. Today Proc. doi: 10.1016/j.matpr.2021.07.480 – volume: 156 start-page: 106849 year: 2021 ident: ref_11 article-title: A FEM based modeling method for analyzing the static performance of aerostatic thrust bearings considering the fluid-structure interaction publication-title: Tribol. Int. doi: 10.1016/j.triboint.2020.106849 – volume: 30 start-page: 649 year: 2008 ident: ref_21 article-title: Microstructural design of materials for aerostatic bearings publication-title: Cem. Concr. Compos. doi: 10.1016/j.cemconcomp.2007.08.013 – volume: 14 start-page: 114 year: 2021 ident: ref_45 article-title: Finite Element Calculation of the Linear Elasticity Problem for Biomaterials with Fractal Structure publication-title: Open Bioinform. J. doi: 10.2174/18750362021140100114 – volume: 2 start-page: 597 year: 2009 ident: ref_57 article-title: Hybrid PSO and GA for global maximization publication-title: Int. J. Open Probl. Compt. Math – volume: 2020 start-page: 3518037 year: 2020 ident: ref_67 article-title: Study on dynamic characteristics of the disc spring system in vibration screen publication-title: Shock Vib. – ident: ref_31 doi: 10.3390/e23050633 – ident: ref_47 doi: 10.1109/MEMSTECH53091.2021.9468027 – volume: 198 start-page: 1 year: 1996 ident: ref_28 article-title: Prediction of the stability of air thrust bearings by numerical, analytical and experimental methods publication-title: Wear doi: 10.1016/0043-1648(95)06782-5 – volume: 60 start-page: 448 year: 2019 ident: ref_23 article-title: Static and dynamic characteristics of a downsized aerostatic circular thrust bearing with a single feed hole publication-title: Precis. Eng. doi: 10.1016/j.precisioneng.2019.08.014 – volume: 125 start-page: 343 year: 2003 ident: ref_6 article-title: Effects of air bearing stiffness on a hard disk drive subject to shock and vibration publication-title: J. Trib. doi: 10.1115/1.1509770 – volume: 138 start-page: 279 year: 2019 ident: ref_24 article-title: Stability and dynamics of an orifice based aerostatic bearing with a compliant back plate publication-title: Tribol. Int. doi: 10.1016/j.triboint.2019.05.047 – volume: 141 start-page: 110283 year: 2020 ident: ref_44 article-title: Forecasting of COVID-19 pandemic: From integer derivatives to fractional derivatives publication-title: Chaos Solitons Fractals doi: 10.1016/j.chaos.2020.110283 |
| SSID | ssj0002793507 |
| Score | 2.2210338 |
| Snippet | In this paper, a fractional-order model of the gas film is proposed for the dynamic characteristics of an air bearing. Based on the dynamic characteristics... |
| SourceID | doaj unpaywall proquest crossref |
| SourceType | Open Website Open Access Repository Aggregation Database Enrichment Source Index Database |
| StartPage | 561 |
| SubjectTerms | Accuracy Dynamic characteristics dynamic characteristics of the air bearing Equivalence Finite element analysis Finite volume method fractional-order model Gas bearings gas film model Gas flow Gas lubrication Genetic algorithms Model accuracy Modelling Parameter identification Partial differential equations Particle swarm optimization Pressure distribution Viscoelasticity |
| SummonAdditionalLinks | – databaseName: DOAJ Directory of Open Access Journals dbid: DOA link: http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwrZ1LS8NAEIAX6UU9iE-sVs3Bo0uT3W2TPaoYi1C9WOgtzD4CSoylD8R_784mDS2IevAQAmEDk5ksM5PMfEPIJeQyj7XGSjXRo4jspkkuBFVhYnjEQTLATwPDx_5gJB7GvfHKqC-sCavwwJXiujpkWguT8FApIftCcmPcnoiNRfK48iTQMJErydSr_50muYt0KswQd3l9N8emIyj8yYUMGDivuSJP7F8LMzcX5QQ-P6AoVjxOukt26lAxuK5E3CMbttwn28OGszo7IBfptGpMgII-IUQzuIdZkL4UbwEOOSsOySi9e74d0HrkAdU8SeZUQhTFloM1oYJc5wxiYYBFInIHgLBWGqlDq5XmETMSODegRNJXCBISih-RVvle2mMS6EgKxgzy96ywxmVGWudOcVEPQmchaBO2fPpM1zxwHEtRZC4vQJVl36isTa6amyYVDuPn5Teo1mYpsqz9BWfhrLZw9puF26SzNEpWb7BZxmLvV11-1ya0MdRfZDr5D5lOyRbDPghf1dchrfl0Yc9cdDJX5_5F_AJBSeJI priority: 102 providerName: Directory of Open Access Journals – databaseName: ProQuest Central dbid: BENPR link: http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwjZ1LS8QwEMcHXQ_qQXzi-uzBo8E2yW6bg4iKqwiuIgreyuRREeruug_Eb2-m21YFEU-FkpYmk0z-STO_ATjATGWxMXRSTbYYIbtZkknJdJhYEQlUHGlr4KbbvnqU10-tpxnoVrEwdKyy8omFo7Z9Q3vkRzwuHKkX9CeDN0ZZo-jvapVCA8vUCva4QIzNwhwnMlYD5s4uunf39a4L993RK6Apfkj49f5RRsFImBcXLyVIUP-YogqS_w_5OT_pDfDjHfP820zUWYalUkIGp1Obr8CM663C4k3NXx2twX5nOA1YwJzdElwzuMRR0HnJXwNKfpavw2Pn4uH8ipWpEJgRSTJmCqModgKdDTVmJuMYS4s8kr6WElE6p6wyoTPaiIhbhUJY1DJpawIMSS02oNHr99wmBCZSknNLXD4nnfUrJmOytoijFobectgEXtU-NSUnnNJV5KlfL1CTpb80WRMO64cGU0zG38XPqFnrosS4Lm70h89pOWRSE3JjpE1EqLVUbamEtd4bxtYRc17LJuxURknLgTdKv7pJE1htqP9809bfr9uGBU6RD8U5vh1ojIcTt-v1yFjvlZ3sE7Yh4JU priority: 102 providerName: ProQuest |
| Title | Fractional-Order Gas Film Model |
| URI | https://www.proquest.com/docview/2728471149 https://www.mdpi.com/2504-3110/6/10/561/pdf?version=1666658387 https://doaj.org/article/c02cc4d830bb496493dd7637de8206b4 |
| UnpaywallVersion | publishedVersion |
| Volume | 6 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| journalDatabaseRights | – providerCode: PRVAON databaseName: DOAJ Directory of Open Access Journals customDbUrl: eissn: 2504-3110 dateEnd: 99991231 omitProxy: true ssIdentifier: ssj0002793507 issn: 2504-3110 databaseCode: DOA dateStart: 20170101 isFulltext: true titleUrlDefault: https://www.doaj.org/ providerName: Directory of Open Access Journals – providerCode: PRVHPJ databaseName: ROAD: Directory of Open Access Scholarly Resources customDbUrl: eissn: 2504-3110 dateEnd: 99991231 omitProxy: true ssIdentifier: ssj0002793507 issn: 2504-3110 databaseCode: M~E dateStart: 20170101 isFulltext: true titleUrlDefault: https://road.issn.org providerName: ISSN International Centre – providerCode: PRVPQU databaseName: ProQuest Central customDbUrl: http://www.proquest.com/pqcentral?accountid=15518 eissn: 2504-3110 dateEnd: 99991231 omitProxy: true ssIdentifier: ssj0002793507 issn: 2504-3110 databaseCode: BENPR dateStart: 20171201 isFulltext: true titleUrlDefault: https://www.proquest.com/central providerName: ProQuest – providerCode: PRVPQU databaseName: ProQuest Technology Collection customDbUrl: eissn: 2504-3110 dateEnd: 99991231 omitProxy: true ssIdentifier: ssj0002793507 issn: 2504-3110 databaseCode: 8FG dateStart: 20171201 isFulltext: true titleUrlDefault: https://search.proquest.com/technologycollection1 providerName: ProQuest |
| link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV1La9tAEB4a-9Dm0Heom9TVIccq1j4saU8hKVFCIW4oNaQnMftQCFEd40dK--u7I61NE0JoexACsQurnffs7DcAu1ipKjOGKtXkMCbI7jivpIx1klvBBCqOlBo4HaUnY_npfHgeEm7zUFbpQ_HLRkkTvJZXEiwZpF66B97UD6a22r8JmSQ68Urp2C_bgG469L54B7rj0dnBN-oot5rbQg0JH9sPKrp4hHXz8m4DOc-3zFGD2n_L1Xy8nEzx5w-s6z-sTvEMytV622KTq73lQu-ZX3egHP__h57D0-CQRgctB72AR27yEjZP12iu81fwvpi11x-wjj8TVGd0jPOouKy_R9RKrX4N4-Lo68eTODRWiI3I80WskLHMCXQ20ViZimMmLXImmX8QpXPKKpM4o41g3CoUwqKWeaoJrkhqsQWdyfXEvYHIMCU5t4Ty56SzPv4ypkpFxoaYeD7AHvDV_pYmoI5T84u69NEHEaW8hyg9-LCeNG1BNx4efkiEWw8lxOzmw_XsogwCWJqEGyNtLhKtpUqlEtZ63ZpZRwj2WvZgZ0X2MojxvORZY719FNmDeM0Kf7Omt_84fhuecLpY0ZQJ7kBnMVu6d97dWeg-bOTFcR-6h0ejsy_9JmnQD3z-G7tE_nM |
| linkProvider | Unpaywall |
| linkToHtml | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtV1NT9tAEB1ROFAOVT_VUFp8aG9dYe9OYu8BVaUlDYWkVQUSN3f2wxWSSdIkCPHn-G3sOLZbpAr1wsGyZK1X9uzs-M165z2At1ToIrWWd6phVzBlt8gKRGHizKlEkZbESwPDUW9wgl9Pu6crcN3UwvC2yiYmVoHaTSyvke_ItAqkAdB_mP4WrBrFf1cbCQ2qpRXcbkUxVhd2HPqry5DCzXcPPofxfidlf__400DUKgPCqixbCE1JknpF3sWGCltIStGRTDAJBxF6r522sbfGqkQ6TUo5Mpj1DHP3oFGh3wewhgp1SP7W9vZH33-0qzwyuH9AXEu6I6V0vFNw8ROV1SlAFwbwtz6JlXLALbi7fjGe0tUlleVfX77-Y3hUQ9bo49LHnsCKHz-FjWHL9zp_Btv92bJAgkrxjck8oy80j_pn5XnEYmvlczi5F6O8gNXxZOxfQmQTjVI65gH06F3I0KwteipNuhQHT6EOyObtc1vzkrM8RpmH_IRNlv_DZB143940XdJy3N18j83aNmVO7erCZPYrr6dobmNpLbpMxcag7qFWzoXomzrPHPcGO7DVDEpeT_R5_sctOyDagfqfZ9q8u7ttWB8cD4_yo4PR4St4KLnqotpDuAWri9mFfx2w0MK8qR0ugp_37eM3KjEfYA |
| linkToPdf | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtV1LT9wwEB5RKlE4oL4Qy6PkQG-1NrG9m_iAEI8GKK8eisQtHT-CkMLusrsI8df4dXjyapEq1AuHKFLkWMn48-SzM_MNwCbmKo-NoUg12WMk2c2SXEqmw8SKSKDiSFsDp2f9wwv547J3OQOPTS4MhVU2PrF01HZoaI-8y-PSkXpC383rsIif--n26JZRBSn609qU06ggcuwe7v3ybbJ1tO_H-ivn6fdfe4esrjDAjEiSKVMYRbET6GyoMTc5x1ha5JGM_IEonVNWmdAZbUTErUIhLGqZ9DXp9kgtfL9v4G1MKu6UpZ4etPs73APfc61K6EgIFXZzSnvCojx50kLU_dnHsKwZ8IzovrsbjPDhHovir29e-h4Wa7Ia7FTo-gAzbvARFk5bpdfJJ9hIx1VqBBbsnGQ8gwOcBOl1cRNQmbXiM1y8ikmWYHYwHLhlCEykJOeWFACddNavzYzJ-yKOehh6jGAHePP2makVyakwRpH5lQmZLPuHyTrwrb1pVAlyvNx8l8zaNiU17fLCcHyV1ZMzMyE3RtpEhFpL1ZdKWOv9bmwdqdtr2YG1ZlCyeopPsj-A7ABrB-p_nmnl5e42YM4jOzs5OjtehXlO6RZl8OAazE7Hd27dk6Cp_lKiLYDfrw3vJ1-kHPo |
| linkToUnpaywall | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnZ1LT9wwEIBHdDm0PQAtVF1KaQ4cCRs_NolPiKIuCInHgZXoKRo_ghDpstpHK_j1eBLvChBChUMUKbKlJDP2zNjjbwC2sFRlZgxlqsluTMjuOC-ljHWSW8EEKo60NHB8kh725dFF9yIsuI1DWqUPxa_qSZrwWn6SYEkn9aO74019Z2jL3b9hJYl2vFLa9svewWLa9b54Cxb7J2d7v6mi3KxvgxoSPrbvlHTwCKv65t0Gcp4fmaOa2v_I1Xw_HQzx9h9W1QOr01uGYva-TbLJ9c50onfM3ROU49s_aAWWgkMa7TUa9AkW3OAzfDye01zHq_CjN2qOP2AVnxKqMzrAcdS7qv5EVEqtWoN-79f5_mEcCivERuT5JFbIWOYEOptoLE3JMZMWOZPMX4jSOWWVSZzRRjBuFQphUcs81YQrklp8gdbgZuC-QmSYkpxbovw56ayPv4wpU5GxLiZeD7ANfPZ_CxOo41T8oip89EFCKZ4RShu2552GDXTj5eY_SXDzpkTMrh_cjC6LMAALk3BjpM1ForVUqVTCWj-3ZtYRwV7LNmzMxF6EYTwueFZbbx9FtiGeq8L_vNP6K9t_gw-cDlbUaYIb0JqMpu67d3cmejPo9D0ESfr- |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Fractional-Order+Gas+Film+Model&rft.jtitle=Fractal+and+fractional&rft.au=Tang%2C+Xu&rft.au=Luo%2C+Ying&rft.au=Han%2C+Bin&rft.date=2022-10-01&rft.issn=2504-3110&rft.eissn=2504-3110&rft.volume=6&rft.issue=10&rft.spage=561&rft_id=info:doi/10.3390%2Ffractalfract6100561&rft.externalDBID=n%2Fa&rft.externalDocID=10_3390_fractalfract6100561 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=2504-3110&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=2504-3110&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=2504-3110&client=summon |