Free vibrations of a rotating shell made of p joined cones
| Autor: | Mahmoud Saadat Foumani, H.M. Navazi, Saeed Sarkheil |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Engineering
business.industry Mechanical Engineering Mathematical analysis Shell (structure) Rotational symmetry Geometry 02 engineering and technology Conical surface 021001 nanoscience & nanotechnology Condensed Matter Physics Finite element method Vibration 020303 mechanical engineering & transports Complex geometry 0203 mechanical engineering Mechanics of Materials Physics::Atomic and Molecular Clusters General Materials Science 0210 nano-technology Coefficient matrix business Rotation (mathematics) Civil and Structural Engineering |
| Zdroj: | International Journal of Mechanical Sciences. :83-94 |
| ISSN: | 0020-7403 |
| DOI: | 10.1016/j.ijmecsci.2017.02.003 |
| Popis: | In this paper, a method has been presented to study the free vibration of a rotating shell consisting of p coupled conical shells. This method considers the Coriolis and centrifugal forces as well as the initial hoop tension resulting from rotation of the shell. Matrix transform and power series methods were employed to solve the equations. The advantage of using the matrix transform approach is that the dimension of the coefficient matrix, which is finally constructed to obtain the natural frequencies of a shell made of p cones, remains 8×8. The obtained results were validated with the help of existing special cases of the studied problem reported in the literature, and by means of FEM software programs. By verifying the presented equations and their solution method, the fundamental natural frequencies of a rotating shell made of two conical shells were obtained for different conditions. Every thin-walled axisymmetric shell can be represented by a number of joined conical shells. So, as a practical example, the presented method was employed to analyze the vibrations of an automobile tire ring as a rotating thin-walled shell with a relatively complex geometry. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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