Free Vibration Analysis of Circular Cylindrical Shells with Arbitrary Boundary Conditions by the Method of Reverberation-Ray Matrix
An analytical procedure for free vibration analysis of circular cylindrical shells with arbitrary boundary conditions is developed with the employment of the method of reverberation-ray matrix. Based on the Flügge thin shell theory, the equations of motion are solved and exact solutions of the trave...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2016-01-01
|
| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2016/3814693 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832551064839127040 |
|---|---|
| author | Dong Tang Guoxun Wu Xiongliang Yao Chuanlong Wang |
| author_facet | Dong Tang Guoxun Wu Xiongliang Yao Chuanlong Wang |
| author_sort | Dong Tang |
| collection | DOAJ |
| description | An analytical procedure for free vibration analysis of circular cylindrical shells with arbitrary boundary conditions is developed with the employment of the method of reverberation-ray matrix. Based on the Flügge thin shell theory, the equations of motion are solved and exact solutions of the traveling wave form along the axial direction and the standing wave form along the circumferential direction are obtained. With such a unidirectional traveling wave form solution, the method of reverberation-ray matrix is introduced to derive a unified and compact form of equation for natural frequencies of circular cylindrical shells with arbitrary boundary conditions. The exact frequency parameters obtained in this paper are validated by comparing with those given by other researchers. The effects of the elastic restraints on the frequency parameters are examined in detail and some novel and useful conclusions are achieved. |
| format | Article |
| id | doaj-art-a5224636afdf45cbbaaf8aba1f40eafc |
| 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-a5224636afdf45cbbaaf8aba1f40eafc2025-02-03T06:05:08ZengWileyShock and Vibration1070-96221875-92032016-01-01201610.1155/2016/38146933814693Free Vibration Analysis of Circular Cylindrical Shells with Arbitrary Boundary Conditions by the Method of Reverberation-Ray MatrixDong Tang0Guoxun Wu1Xiongliang Yao2Chuanlong Wang3College of Shipbuilding Engineering, Harbin Engineering University, Harbin 150001, ChinaCollege of Shipbuilding Engineering, Harbin Engineering University, Harbin 150001, ChinaCollege of Shipbuilding Engineering, Harbin Engineering University, Harbin 150001, ChinaCollege of Shipbuilding Engineering, Harbin Engineering University, Harbin 150001, ChinaAn analytical procedure for free vibration analysis of circular cylindrical shells with arbitrary boundary conditions is developed with the employment of the method of reverberation-ray matrix. Based on the Flügge thin shell theory, the equations of motion are solved and exact solutions of the traveling wave form along the axial direction and the standing wave form along the circumferential direction are obtained. With such a unidirectional traveling wave form solution, the method of reverberation-ray matrix is introduced to derive a unified and compact form of equation for natural frequencies of circular cylindrical shells with arbitrary boundary conditions. The exact frequency parameters obtained in this paper are validated by comparing with those given by other researchers. The effects of the elastic restraints on the frequency parameters are examined in detail and some novel and useful conclusions are achieved.http://dx.doi.org/10.1155/2016/3814693 |
| spellingShingle | Dong Tang Guoxun Wu Xiongliang Yao Chuanlong Wang Free Vibration Analysis of Circular Cylindrical Shells with Arbitrary Boundary Conditions by the Method of Reverberation-Ray Matrix Shock and Vibration |
| title | Free Vibration Analysis of Circular Cylindrical Shells with Arbitrary Boundary Conditions by the Method of Reverberation-Ray Matrix |
| title_full | Free Vibration Analysis of Circular Cylindrical Shells with Arbitrary Boundary Conditions by the Method of Reverberation-Ray Matrix |
| title_fullStr | Free Vibration Analysis of Circular Cylindrical Shells with Arbitrary Boundary Conditions by the Method of Reverberation-Ray Matrix |
| title_full_unstemmed | Free Vibration Analysis of Circular Cylindrical Shells with Arbitrary Boundary Conditions by the Method of Reverberation-Ray Matrix |
| title_short | Free Vibration Analysis of Circular Cylindrical Shells with Arbitrary Boundary Conditions by the Method of Reverberation-Ray Matrix |
| title_sort | free vibration analysis of circular cylindrical shells with arbitrary boundary conditions by the method of reverberation ray matrix |
| url | http://dx.doi.org/10.1155/2016/3814693 |
| work_keys_str_mv | AT dongtang freevibrationanalysisofcircularcylindricalshellswitharbitraryboundaryconditionsbythemethodofreverberationraymatrix AT guoxunwu freevibrationanalysisofcircularcylindricalshellswitharbitraryboundaryconditionsbythemethodofreverberationraymatrix AT xiongliangyao freevibrationanalysisofcircularcylindricalshellswitharbitraryboundaryconditionsbythemethodofreverberationraymatrix AT chuanlongwang freevibrationanalysisofcircularcylindricalshellswitharbitraryboundaryconditionsbythemethodofreverberationraymatrix |