Forced parametric vibration of curved composite pipes with initial technological imperfections | Mekhanika | kompozitsionnykh | materialov i konstruktsii
> Volume 20 > №1 / 2014 / Pages: 16-33

Forced parametric vibration of curved composite pipes with initial technological imperfections

,

Abstract:

With allowance for the initial technological imperfections brought about in the process of continuous fiber or reinforced tape power winding, we have considered the elastic vibrations of curved multilayer composite pipes under pulsating internal pressure. On the basis of semi-moment less theory of anisotropic laminated shells and Lagrange’s equation, a resolving system of coupled differential equations with variable stiffness coefficients has been developed. As a particular case we have solved the static problem. The limiting transition to a thin-walled straight pipe has been analyzed. It has been shown that the solutions of particular problems are consistent with the classical solutions. The behavior of a curved composite pipe as a coupled shell-beam dynamic system with two degrees of freedom has been examined. The initial roundness and non-uniformity of wall thickness taken into consideration, the stress state has been investigated. Depending on the pipe length the analysis of the partial and natural frequencies has been done. Amplitude-frequency characteristics have been built. The influence of the parametric effects on the calculated values of the amplitudes was investigated

1