Dynamic Characteristics of Deeply Buried Spherical Biogas Digesters in Viscoelastic Soils
The harmonic vibration characteristics of a deeply buried spherical methane tank in viscoelastic soil subjected to cyclic loading in the frequency domain are investigated. The dynamic behavior of the soil is described based on the theory of fractional derivatives. By introducing potential functions,...
Saved in:
| Main Authors: | , , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2018-01-01
|
| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2018/9349175 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849695591083278336 |
|---|---|
| author | Hongwei Hou Shihu Gao Qianqian Guo Long Chen Bing Wu Lei Wang |
| author_facet | Hongwei Hou Shihu Gao Qianqian Guo Long Chen Bing Wu Lei Wang |
| author_sort | Hongwei Hou |
| collection | DOAJ |
| description | The harmonic vibration characteristics of a deeply buried spherical methane tank in viscoelastic soil subjected to cyclic loading in the frequency domain are investigated. The dynamic behavior of the soil is described based on the theory of fractional derivatives. By introducing potential functions, the closed-form expressions for the displacement and the stress of the viscoelastic soil surrounding the deeply buried spherical methane tank are obtained. Two die structures are considered: a homogeneous elastic medium and a shell structure. Based on the theory of elastic motion and the Flügge theory, analytic solutions for the dynamic responses of the spherical methane tank in a fractional-derivative viscoelastic soil are derived explicitly. Analytic solution expressions of the undetermined coefficients are determined by using the continuum boundary conditions. The system dynamic responses to the homogeneous elastic medium and the shell structure and the influences of the parameters of the fractional derivative, soil, and die on the dynamic characteristic of the system are compared and analyzed. The results indicate a significant difference between the dynamic responses of the die structures for the two models. |
| format | Article |
| id | doaj-art-d05904be746644049cd08c26d024c8f9 |
| institution | DOAJ |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-d05904be746644049cd08c26d024c8f92025-08-20T03:19:43ZengWileyAdvances in Mathematical Physics1687-91201687-91392018-01-01201810.1155/2018/93491759349175Dynamic Characteristics of Deeply Buried Spherical Biogas Digesters in Viscoelastic SoilsHongwei Hou0Shihu Gao1Qianqian Guo2Long Chen3Bing Wu4Lei Wang5Zhejiang Academy of Building Research and Design Co. Ltd., Hangzhou, Zhejiang 310000, ChinaCollege of Civil Engineering and Architecture, Wenzhou University, Wenzhou, Zhejiang 325035, ChinaKey Laboratory of Ministry of Education for Geomechanics and Embankment Engineering, Hohai University, Nanjing 210098, ChinaKey Laboratory of Ministry of Education for Geomechanics and Embankment Engineering, Hohai University, Nanjing 210098, ChinaKey Laboratory of Ministry of Education for Geomechanics and Embankment Engineering, Hohai University, Nanjing 210098, ChinaShanghai City Construction and Design Research Institute, No. 1170 Tibet South Road, Huangpu District, Shanghai, ChinaThe harmonic vibration characteristics of a deeply buried spherical methane tank in viscoelastic soil subjected to cyclic loading in the frequency domain are investigated. The dynamic behavior of the soil is described based on the theory of fractional derivatives. By introducing potential functions, the closed-form expressions for the displacement and the stress of the viscoelastic soil surrounding the deeply buried spherical methane tank are obtained. Two die structures are considered: a homogeneous elastic medium and a shell structure. Based on the theory of elastic motion and the Flügge theory, analytic solutions for the dynamic responses of the spherical methane tank in a fractional-derivative viscoelastic soil are derived explicitly. Analytic solution expressions of the undetermined coefficients are determined by using the continuum boundary conditions. The system dynamic responses to the homogeneous elastic medium and the shell structure and the influences of the parameters of the fractional derivative, soil, and die on the dynamic characteristic of the system are compared and analyzed. The results indicate a significant difference between the dynamic responses of the die structures for the two models.http://dx.doi.org/10.1155/2018/9349175 |
| spellingShingle | Hongwei Hou Shihu Gao Qianqian Guo Long Chen Bing Wu Lei Wang Dynamic Characteristics of Deeply Buried Spherical Biogas Digesters in Viscoelastic Soils Advances in Mathematical Physics |
| title | Dynamic Characteristics of Deeply Buried Spherical Biogas Digesters in Viscoelastic Soils |
| title_full | Dynamic Characteristics of Deeply Buried Spherical Biogas Digesters in Viscoelastic Soils |
| title_fullStr | Dynamic Characteristics of Deeply Buried Spherical Biogas Digesters in Viscoelastic Soils |
| title_full_unstemmed | Dynamic Characteristics of Deeply Buried Spherical Biogas Digesters in Viscoelastic Soils |
| title_short | Dynamic Characteristics of Deeply Buried Spherical Biogas Digesters in Viscoelastic Soils |
| title_sort | dynamic characteristics of deeply buried spherical biogas digesters in viscoelastic soils |
| url | http://dx.doi.org/10.1155/2018/9349175 |
| work_keys_str_mv | AT hongweihou dynamiccharacteristicsofdeeplyburiedsphericalbiogasdigestersinviscoelasticsoils AT shihugao dynamiccharacteristicsofdeeplyburiedsphericalbiogasdigestersinviscoelasticsoils AT qianqianguo dynamiccharacteristicsofdeeplyburiedsphericalbiogasdigestersinviscoelasticsoils AT longchen dynamiccharacteristicsofdeeplyburiedsphericalbiogasdigestersinviscoelasticsoils AT bingwu dynamiccharacteristicsofdeeplyburiedsphericalbiogasdigestersinviscoelasticsoils AT leiwang dynamiccharacteristicsofdeeplyburiedsphericalbiogasdigestersinviscoelasticsoils |