Abstract
A dynamic stiffness method is introduced to analyze thin shell structures composed of uniform or non-uniform circular cylindrical shells. A dynamic stiffness matrix is formed using frequency dependent shape functions which are exact solutions of the governing differential equations. The determinant equation is expanded analytically to give a scalar polynomial equation of degree 8 providing 8 integration constants for the 8 nodal (circular line) displacements of a thin shell member. The conjugate natural boundary conditions are obtained by variational calculus. The generalized nodal forces are related to the nodal displacements analytically resulting in an exact dynamic stiffness matrix. Donell-Mushtari's and Flugge's equations are used. numerical examples of circular cylindrical shells with various thickness and boundary conditions are presented. The computed natural frequencies of simply supported shell members are compared with those obtained by an analytic method. These cases show that using the dynamic stiffness method good accuracy can be obtained.
| Original language | English |
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| Title of host publication | Proceedings of the Third (1993) International Offshore and Polar Engineering Conference |
| Publisher | Publ by Int Soc of Offshore and Polar Engineerns (ISOPE) |
| Pages | 482-488 |
| ISBN (Print) | 1880653095 |
| Publication status | Published - 1993 |
| Externally published | Yes |
| Event | Proceedings of the Third (1993) International Offshore and Polar Engineering Conference - Singapore, Singapore Duration: 6 Jun 1993 → 11 Jun 1993 |
Conference
| Conference | Proceedings of the Third (1993) International Offshore and Polar Engineering Conference |
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| City | Singapore, Singapore |
| Period | 6/06/93 → 11/06/93 |