FRACTIONAL TIME-TEMPERATURE SUPERPOSITION MODEL OF VISCOELASTIC MATERIAL WITH VERTICAL SHIFT FACTOR
The dynamic properties of the viscoelastic material have remarkable temperature-frequency effect. In order to characterize the dynamic properties of the viscoelastic material more precision,on the basis of the fractional constitutive model and the time-temperature superposition principle,the fractio...
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | zho |
| Published: |
Editorial Office of Journal of Mechanical Strength
2021-01-01
|
| Series: | Jixie qiangdu |
| Subjects: | |
| Online Access: | http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2021.03.028 |
| _version_ | 1797767643824914432 |
|---|---|
| author | WANG Yao SUN DaGang LI ZhanLong QIN Yuan REN GuoXiang |
| author_facet | WANG Yao SUN DaGang LI ZhanLong QIN Yuan REN GuoXiang |
| author_sort | WANG Yao |
| collection | DOAJ |
| description | The dynamic properties of the viscoelastic material have remarkable temperature-frequency effect. In order to characterize the dynamic properties of the viscoelastic material more precision,on the basis of the fractional constitutive model and the time-temperature superposition principle,the fractional time-temperature superposition model of the viscoelastic material with vertical factor（ VFTTS） was proposed. The DMA test was conducted on the viscoelastic material used in vibration control of engineering vehicle. The dynamic behaviors（ storage modulus,loss modulus and loss factor） under variable temperatures（-75℃ ～ 65℃） and frequencies（ 0. 5 Hz,1 Hz,2 Hz,3. 3 Hz,5 Hz and 10 Hz） were analyzed. Meanwhile,the master curves of the storage modulus at the reference temperature 5℃ are obtained by the VFTTS model and the FTTS model（ only with horizon factor）. The fractional standard linear solid model（ CFSLS） was used to validate the accuracy of the above two models. The results show that the prediction ranges of the frequencies of VFTTS model and FTTS model are the same. The superhigh frequency predictions between 1. 086 × 10<sup>-8</sup> Hz and 1. 240 × 10<sup>11</sup> Hz are realized. The relative errors of the two models are 6. 07% and13. 22%. In summary,the VFTTS model has broad prediction ability and higher accuracy. |
| first_indexed | 2024-03-12T20:41:47Z |
| format | Article |
| id | doaj.art-14db72b2b0884801ac469261319d80b2 |
| institution | Directory Open Access Journal |
| issn | 1001-9669 |
| language | zho |
| last_indexed | 2024-03-12T20:41:47Z |
| publishDate | 2021-01-01 |
| publisher | Editorial Office of Journal of Mechanical Strength |
| record_format | Article |
| series | Jixie qiangdu |
| spelling | doaj.art-14db72b2b0884801ac469261319d80b22023-08-01T07:53:21ZzhoEditorial Office of Journal of Mechanical StrengthJixie qiangdu1001-96692021-01-014370771130610977FRACTIONAL TIME-TEMPERATURE SUPERPOSITION MODEL OF VISCOELASTIC MATERIAL WITH VERTICAL SHIFT FACTORWANG YaoSUN DaGangLI ZhanLongQIN YuanREN GuoXiangThe dynamic properties of the viscoelastic material have remarkable temperature-frequency effect. In order to characterize the dynamic properties of the viscoelastic material more precision,on the basis of the fractional constitutive model and the time-temperature superposition principle,the fractional time-temperature superposition model of the viscoelastic material with vertical factor（ VFTTS） was proposed. The DMA test was conducted on the viscoelastic material used in vibration control of engineering vehicle. The dynamic behaviors（ storage modulus,loss modulus and loss factor） under variable temperatures（-75℃ ～ 65℃） and frequencies（ 0. 5 Hz,1 Hz,2 Hz,3. 3 Hz,5 Hz and 10 Hz） were analyzed. Meanwhile,the master curves of the storage modulus at the reference temperature 5℃ are obtained by the VFTTS model and the FTTS model（ only with horizon factor）. The fractional standard linear solid model（ CFSLS） was used to validate the accuracy of the above two models. The results show that the prediction ranges of the frequencies of VFTTS model and FTTS model are the same. The superhigh frequency predictions between 1. 086 × 10<sup>-8</sup> Hz and 1. 240 × 10<sup>11</sup> Hz are realized. The relative errors of the two models are 6. 07% and13. 22%. In summary,the VFTTS model has broad prediction ability and higher accuracy.http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2021.03.028Viscoelasticity;Fractional order;Time-temperature superposition;Vertical factor;Master curve |
| spellingShingle | WANG Yao SUN DaGang LI ZhanLong QIN Yuan REN GuoXiang FRACTIONAL TIME-TEMPERATURE SUPERPOSITION MODEL OF VISCOELASTIC MATERIAL WITH VERTICAL SHIFT FACTOR Jixie qiangdu Viscoelasticity;Fractional order;Time-temperature superposition;Vertical factor;Master curve |
| title | FRACTIONAL TIME-TEMPERATURE SUPERPOSITION MODEL OF VISCOELASTIC MATERIAL WITH VERTICAL SHIFT FACTOR |
| title_full | FRACTIONAL TIME-TEMPERATURE SUPERPOSITION MODEL OF VISCOELASTIC MATERIAL WITH VERTICAL SHIFT FACTOR |
| title_fullStr | FRACTIONAL TIME-TEMPERATURE SUPERPOSITION MODEL OF VISCOELASTIC MATERIAL WITH VERTICAL SHIFT FACTOR |
| title_full_unstemmed | FRACTIONAL TIME-TEMPERATURE SUPERPOSITION MODEL OF VISCOELASTIC MATERIAL WITH VERTICAL SHIFT FACTOR |
| title_short | FRACTIONAL TIME-TEMPERATURE SUPERPOSITION MODEL OF VISCOELASTIC MATERIAL WITH VERTICAL SHIFT FACTOR |
| title_sort | fractional time temperature superposition model of viscoelastic material with vertical shift factor |
| topic | Viscoelasticity;Fractional order;Time-temperature superposition;Vertical factor;Master curve |
| url | http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2021.03.028 |
| work_keys_str_mv | AT wangyao fractionaltimetemperaturesuperpositionmodelofviscoelasticmaterialwithverticalshiftfactor AT sundagang fractionaltimetemperaturesuperpositionmodelofviscoelasticmaterialwithverticalshiftfactor AT lizhanlong fractionaltimetemperaturesuperpositionmodelofviscoelasticmaterialwithverticalshiftfactor AT qinyuan fractionaltimetemperaturesuperpositionmodelofviscoelasticmaterialwithverticalshiftfactor AT renguoxiang fractionaltimetemperaturesuperpositionmodelofviscoelasticmaterialwithverticalshiftfactor |