Summary
The dynamic stability of composite cylindrical shells with general boundary conditions is investigated. The governing differential equations of motion of an orthotropic cylindrical shell subjected to normal pressure are reduced to generalized Donnell’s cylindrical shell theory. By neglecting higher order terms, these equations are further reduced to a single eighth order differential equation in terms of the radial displacement. By modeling the normal pressure as a sum of constant and sinusoidal time-varying components, the solution of the governing differential equation is reduced to the solution of Mathieu’s equation. A simple computational algorithm is presented for finding the dynamic buckling pressure for the cylinder. The method may be used for simply supported and fixed boundary conditions.
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© 1980 Plenum Press, New York
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Stuart, R.J., Dharmarajan, S., Penzes, L.E. (1980). Dynamic Stability of Fibrous Composite Cylinders. In: Lenoe, E.M., Oplinger, D.W., Burke, J.J. (eds) Fibrous Composites in Structural Design. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-1033-4_18
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DOI: https://doi.org/10.1007/978-1-4684-1033-4_18
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4684-1035-8
Online ISBN: 978-1-4684-1033-4
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