Analysis on Forced Vibration of Thin-Wall Cylindrical Shell with Nonlinear Boundary Condition
Forced vibration of thin-wall cylindrical shell under nonlinear boundary condition was discussed in this paper. The nonlinear boundary was modeled as supported clearance in one end of shell and the restraint was assumed as linearly elastic in the radial direction. Based on Sanders’ shell theory, Lag...
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2016/8978932 |
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| author | Qiansheng Tang Chaofeng Li Bangchun Wen |
| author_facet | Qiansheng Tang Chaofeng Li Bangchun Wen |
| author_sort | Qiansheng Tang |
| collection | DOAJ |
| description | Forced vibration of thin-wall cylindrical shell under nonlinear boundary condition was discussed in this paper. The nonlinear boundary was modeled as supported clearance in one end of shell and the restraint was assumed as linearly elastic in the radial direction. Based on Sanders’ shell theory, Lagrange equation was utilized to derive the nonlinear governing equations of cylindrical shell. The displacements in three directions were represented by beam functions and trigonometric functions. In the study of nonlinear dynamic responses of thin-wall cylindrical shell with supported clearance under external loads, the Newmark method is used to obtain time history, frequency spectrum plot, phase portraits, Poincare section, bifurcation diagrams, and three-dimensional spectrum plot with different parameters. The effects of external loads, supported clearance, and support stiffness on nonlinear dynamics behaviors of cylindrical shell with nonlinear boundary condition were discussed. |
| format | Article |
| id | doaj-art-3a0d2292637f48bf8c5d94a28ae560ef |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-3a0d2292637f48bf8c5d94a28ae560ef2025-02-03T05:44:48ZengWileyShock and Vibration1070-96221875-92032016-01-01201610.1155/2016/89789328978932Analysis on Forced Vibration of Thin-Wall Cylindrical Shell with Nonlinear Boundary ConditionQiansheng Tang0Chaofeng Li1Bangchun Wen2School of Mechanical Engineering & Automation, Northeastern University, Shenyang 110819, ChinaSchool of Mechanical Engineering & Automation, Northeastern University, Shenyang 110819, ChinaSchool of Mechanical Engineering & Automation, Northeastern University, Shenyang 110819, ChinaForced vibration of thin-wall cylindrical shell under nonlinear boundary condition was discussed in this paper. The nonlinear boundary was modeled as supported clearance in one end of shell and the restraint was assumed as linearly elastic in the radial direction. Based on Sanders’ shell theory, Lagrange equation was utilized to derive the nonlinear governing equations of cylindrical shell. The displacements in three directions were represented by beam functions and trigonometric functions. In the study of nonlinear dynamic responses of thin-wall cylindrical shell with supported clearance under external loads, the Newmark method is used to obtain time history, frequency spectrum plot, phase portraits, Poincare section, bifurcation diagrams, and three-dimensional spectrum plot with different parameters. The effects of external loads, supported clearance, and support stiffness on nonlinear dynamics behaviors of cylindrical shell with nonlinear boundary condition were discussed.http://dx.doi.org/10.1155/2016/8978932 |
| spellingShingle | Qiansheng Tang Chaofeng Li Bangchun Wen Analysis on Forced Vibration of Thin-Wall Cylindrical Shell with Nonlinear Boundary Condition Shock and Vibration |
| title | Analysis on Forced Vibration of Thin-Wall Cylindrical Shell with Nonlinear Boundary Condition |
| title_full | Analysis on Forced Vibration of Thin-Wall Cylindrical Shell with Nonlinear Boundary Condition |
| title_fullStr | Analysis on Forced Vibration of Thin-Wall Cylindrical Shell with Nonlinear Boundary Condition |
| title_full_unstemmed | Analysis on Forced Vibration of Thin-Wall Cylindrical Shell with Nonlinear Boundary Condition |
| title_short | Analysis on Forced Vibration of Thin-Wall Cylindrical Shell with Nonlinear Boundary Condition |
| title_sort | analysis on forced vibration of thin wall cylindrical shell with nonlinear boundary condition |
| url | http://dx.doi.org/10.1155/2016/8978932 |
| work_keys_str_mv | AT qianshengtang analysisonforcedvibrationofthinwallcylindricalshellwithnonlinearboundarycondition AT chaofengli analysisonforcedvibrationofthinwallcylindricalshellwithnonlinearboundarycondition AT bangchunwen analysisonforcedvibrationofthinwallcylindricalshellwithnonlinearboundarycondition |