Numerical solution of three-dimensional problem of free vibrations of composite laminated anisotropic shells of revolution
For many years, the main targets of improved approaches to the calculation of natural frequencies and modes of elastic vibrations have been laminated (mainly three-layer) plates and shells with layers differing substantially in rigidity. In such structural elements, specific modes of vibration are realized, owing to the low rigidity of the filler. Composite material structures usually have layers that are similar or equal in rigidity in the original state; the nonuniformity stems from differences in orientation of the layers in the packet. Composites that are used in machinery construction are characterized by low normal and shear transverse rigidities. These features also give rise to nonclassical phenomena in free vibrations. Vibrations of thick-wall orthotropic plates and hollow circular cylinders have been analyzed. In those cases, three-dimensional effects were governed largely by the thickness. Where the stress-strain state of laminated composite shells of revolution was analyzed, it follows that a complex three-dimensional character of the strained state is also characteristic for extremely thin shells if the layers are anisotropic (nonorthotropic). In the work reported here, the authors developed a procedure for the numerical solution of the problem of elastic free vibrations of composite shells of revolution, in which all of the features they have enumerated are taken into account to the greatest extent possible. A universal algorithm has been based on finite-element idealization of the three-dimensional relationships in the theory of anisotropic elasticity.
- Sponsoring Organization:
- USDOE
- OSTI ID:
- 377039
- Journal Information:
- Mechanics of Composite Materials, Journal Name: Mechanics of Composite Materials Journal Issue: 5 Vol. 27; ISSN 0191-5665; ISSN MCMAD7
- Country of Publication:
- United States
- Language:
- English
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