Abstract
In this research, a Jacobi-Ritz approach is introduced for dynamic analysis of laminated composite shallow shells subjected to arbitrary boundary conditions. The first-order shear deformation theory (FSDT) is utilized to construct the theoretical model. Under the present framework, the multi-segment partitioning strategy is employed. The displacement functions of each segment for the shallow shells are represented by a function of Jacobi polynomials along the length and width orientations. The artificial spring technique is brought into to deal with the issues with respect to continuity condition of the interface between adjacent segments and the arbitrary boundary condition. For the solution procedure, the Rayleigh-Ritz on the basis of the energy functions of the shallow shell is utilized. The proposed Jacobi-Ritz method is conveniently appropriate for various boundary conditions including both classical and elastic boundary conditions. Then, the accuracy and reliability of the methodology are confirmed by comparison with results from literature. At last, new results for free vibration of laminated composite shallow shells subjected to classic as well as elastic boundary conditions are exhibited, which may be served as reference data.
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