Vibration Characteristics Analysis of Cylindrical Shell-Plate Coupled Structure Using an Improved Fourier Series Method
A simple yet accurate solution procedure based on the improved Fourier series method (IFSM) is applied to the vibration characteristics analysis of a cylindrical shell-circular plate (S-P) coupled structure subjected to various boundary conditions. By applying four types of coupling springs with arb...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2018-01-01
|
| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2018/9214189 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832559400969043968 |
|---|---|
| author | Yipeng Cao Runze Zhang Wenping Zhang Jinzhao Wang |
| author_facet | Yipeng Cao Runze Zhang Wenping Zhang Jinzhao Wang |
| author_sort | Yipeng Cao |
| collection | DOAJ |
| description | A simple yet accurate solution procedure based on the improved Fourier series method (IFSM) is applied to the vibration characteristics analysis of a cylindrical shell-circular plate (S-P) coupled structure subjected to various boundary conditions. By applying four types of coupling springs with arbitrary stiffness at the junction of the coupled structure, the mechanical coupling effects are completely considered. Each of the plate and shell displacement functions is expressed as the superposition of a two-dimensional Fourier series and several supplementary functions. The unknown series-expansion coefficients are treated as the generalized coordinates and determined using the familiar Rayleigh-Ritz procedure. Using the IFSM, a unified solution for the S-P coupled structure with symmetrical and asymmetrical boundary conditions can be derived directly without the need to change either the equations of motion or the expressions of the displacements. This solution can be verified by comparing the current results with those calculated by the finite-element method (FEM). The effects of several significant factors, including the restraint stiffness, the coupling stiffness, and the situation of coupling, are presented. The forced vibration behaviors of the S-P coupled structure are also illustrated. |
| format | Article |
| id | doaj-art-259b6f6d249a49488e987f9efac14a6f |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-259b6f6d249a49488e987f9efac14a6f2025-02-03T01:30:11ZengWileyShock and Vibration1070-96221875-92032018-01-01201810.1155/2018/92141899214189Vibration Characteristics Analysis of Cylindrical Shell-Plate Coupled Structure Using an Improved Fourier Series MethodYipeng Cao0Runze Zhang1Wenping Zhang2Jinzhao Wang3College of Power and Energy Engineering, Harbin Engineering University, Harbin, ChinaCollege of Power and Energy Engineering, Harbin Engineering University, Harbin, ChinaCollege of Power and Energy Engineering, Harbin Engineering University, Harbin, ChinaLuoyang Sunrui Rubber & Plastic Technology Co., Ltd., Luoyang, ChinaA simple yet accurate solution procedure based on the improved Fourier series method (IFSM) is applied to the vibration characteristics analysis of a cylindrical shell-circular plate (S-P) coupled structure subjected to various boundary conditions. By applying four types of coupling springs with arbitrary stiffness at the junction of the coupled structure, the mechanical coupling effects are completely considered. Each of the plate and shell displacement functions is expressed as the superposition of a two-dimensional Fourier series and several supplementary functions. The unknown series-expansion coefficients are treated as the generalized coordinates and determined using the familiar Rayleigh-Ritz procedure. Using the IFSM, a unified solution for the S-P coupled structure with symmetrical and asymmetrical boundary conditions can be derived directly without the need to change either the equations of motion or the expressions of the displacements. This solution can be verified by comparing the current results with those calculated by the finite-element method (FEM). The effects of several significant factors, including the restraint stiffness, the coupling stiffness, and the situation of coupling, are presented. The forced vibration behaviors of the S-P coupled structure are also illustrated.http://dx.doi.org/10.1155/2018/9214189 |
| spellingShingle | Yipeng Cao Runze Zhang Wenping Zhang Jinzhao Wang Vibration Characteristics Analysis of Cylindrical Shell-Plate Coupled Structure Using an Improved Fourier Series Method Shock and Vibration |
| title | Vibration Characteristics Analysis of Cylindrical Shell-Plate Coupled Structure Using an Improved Fourier Series Method |
| title_full | Vibration Characteristics Analysis of Cylindrical Shell-Plate Coupled Structure Using an Improved Fourier Series Method |
| title_fullStr | Vibration Characteristics Analysis of Cylindrical Shell-Plate Coupled Structure Using an Improved Fourier Series Method |
| title_full_unstemmed | Vibration Characteristics Analysis of Cylindrical Shell-Plate Coupled Structure Using an Improved Fourier Series Method |
| title_short | Vibration Characteristics Analysis of Cylindrical Shell-Plate Coupled Structure Using an Improved Fourier Series Method |
| title_sort | vibration characteristics analysis of cylindrical shell plate coupled structure using an improved fourier series method |
| url | http://dx.doi.org/10.1155/2018/9214189 |
| work_keys_str_mv | AT yipengcao vibrationcharacteristicsanalysisofcylindricalshellplatecoupledstructureusinganimprovedfourierseriesmethod AT runzezhang vibrationcharacteristicsanalysisofcylindricalshellplatecoupledstructureusinganimprovedfourierseriesmethod AT wenpingzhang vibrationcharacteristicsanalysisofcylindricalshellplatecoupledstructureusinganimprovedfourierseriesmethod AT jinzhaowang vibrationcharacteristicsanalysisofcylindricalshellplatecoupledstructureusinganimprovedfourierseriesmethod |