48th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, Waikiki, HI, Amerika Birleşik Devletleri, 23 - 26 Nisan 2007, cilt.5, ss.4940-4961
In the present study, application of the multisegment numerical integration technique is extended to the solution of free vibration problem of macroscopically anisotropic branched shells of revolution with ring stiffeners. Solution procedure is based on a modified frequency trial method, which processes on the numerically integrated transformed fundamental shell equations which are obtained in terms of finite exponential Fourier transform of the fundamental shell variables. The governing shell equations are derived such that the full anisotropic form of the constitutive relations, including first order transverse shear deformation, and all components of translatory and rotary inertia are included in the analysis. To handle branched shells of revolution, modifications which are necessary to incorporate junctions are added to the numerical solution procedure. Comparison of the results for anisotropic branched shells of revolution has also been done with the results obtained by the finite element code Nastran. Inclusion of asymmetric circumferential stiffeners, with respect to the shell middle surface, into the semi-analytical solution method is also demonstrated by presenting two alternative method of analysis. It is deemed that present technique, besides providing an alternative solution methodology to study the modal characteristics of ring stiffened anisotropic branched shells of revolution, can be reliably used as an alternative computational tool to compare against the other solution methodologies.