Curvature Effects on the Vibration Characteristics of Doubly Curved Shallow Shells with General Elastic Edge Restraints
Effects of curvature upon the vibration characteristics of doubly curved shallow shells are assessed in this paper. Boundary conditions of the shell are generally specified in terms of distributed elastic restraints along the edges. The classical homogeneous boundary supports can be easily simulated...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2015/435903 |
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| author | Hui Shi Teijun Yang Shiliang Jiang W. L. Li Zhigang Liu |
| author_facet | Hui Shi Teijun Yang Shiliang Jiang W. L. Li Zhigang Liu |
| author_sort | Hui Shi |
| collection | DOAJ |
| description | Effects of curvature upon the vibration characteristics of doubly curved shallow shells are assessed in this paper. Boundary conditions of the shell are generally specified in terms of distributed elastic restraints along the edges. The classical homogeneous boundary supports can be easily simulated by setting the stiffnesses of restraining springs to either zero or infinite. Vibration problems of the shell are solved by a modified Fourier series method that each of the displacements is invariably expressed as a simple trigonometric series which converges uniformly and acceleratedly over the solution domain. All the unknown expansion coefficients are treated equally as a set of independent generalized coordinates and solved using the Rayleigh-Ritz technique. The current method provides a unified solution to the vibration problems of curved shallow shells involving different geometric properties and boundary conditions with no need of modifying the formulations and solution procedures. Extensive tabular and graphical results are presented to show the curvature effects on the natural frequencies of the shell with various boundary conditions. |
| format | Article |
| id | doaj-art-2753adf26f6a4c22b6d414b1925c37b4 |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-2753adf26f6a4c22b6d414b1925c37b42025-02-03T05:53:31ZengWileyShock and Vibration1070-96221875-92032015-01-01201510.1155/2015/435903435903Curvature Effects on the Vibration Characteristics of Doubly Curved Shallow Shells with General Elastic Edge RestraintsHui Shi0Teijun Yang1Shiliang Jiang2W. L. Li3Zhigang Liu4College of Power and Energy Engineering, Harbin Engineering University, 145 Nantong Street, Harbin, Heilongjiang 150001, ChinaCollege of Power and Energy Engineering, Harbin Engineering University, 145 Nantong Street, Harbin, Heilongjiang 150001, ChinaCollege of Power and Energy Engineering, Harbin Engineering University, 145 Nantong Street, Harbin, Heilongjiang 150001, ChinaDepartment of Mechanical Engineering, Wayne State University, 5050 Anthony Wayne Drive, Detroit, MI 48202, USACollege of Power and Energy Engineering, Harbin Engineering University, 145 Nantong Street, Harbin, Heilongjiang 150001, ChinaEffects of curvature upon the vibration characteristics of doubly curved shallow shells are assessed in this paper. Boundary conditions of the shell are generally specified in terms of distributed elastic restraints along the edges. The classical homogeneous boundary supports can be easily simulated by setting the stiffnesses of restraining springs to either zero or infinite. Vibration problems of the shell are solved by a modified Fourier series method that each of the displacements is invariably expressed as a simple trigonometric series which converges uniformly and acceleratedly over the solution domain. All the unknown expansion coefficients are treated equally as a set of independent generalized coordinates and solved using the Rayleigh-Ritz technique. The current method provides a unified solution to the vibration problems of curved shallow shells involving different geometric properties and boundary conditions with no need of modifying the formulations and solution procedures. Extensive tabular and graphical results are presented to show the curvature effects on the natural frequencies of the shell with various boundary conditions.http://dx.doi.org/10.1155/2015/435903 |
| spellingShingle | Hui Shi Teijun Yang Shiliang Jiang W. L. Li Zhigang Liu Curvature Effects on the Vibration Characteristics of Doubly Curved Shallow Shells with General Elastic Edge Restraints Shock and Vibration |
| title | Curvature Effects on the Vibration Characteristics of Doubly Curved Shallow Shells with General Elastic Edge Restraints |
| title_full | Curvature Effects on the Vibration Characteristics of Doubly Curved Shallow Shells with General Elastic Edge Restraints |
| title_fullStr | Curvature Effects on the Vibration Characteristics of Doubly Curved Shallow Shells with General Elastic Edge Restraints |
| title_full_unstemmed | Curvature Effects on the Vibration Characteristics of Doubly Curved Shallow Shells with General Elastic Edge Restraints |
| title_short | Curvature Effects on the Vibration Characteristics of Doubly Curved Shallow Shells with General Elastic Edge Restraints |
| title_sort | curvature effects on the vibration characteristics of doubly curved shallow shells with general elastic edge restraints |
| url | http://dx.doi.org/10.1155/2015/435903 |
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