Fundamental equations of laminated beams, plates and shells -- The modified Fourier series and Ritz method -- Straight and curved beams -- Plate structures -- Closed and deep open cylindrical shells -- Closed and deep open conical shells -- Closed and deep open spherical shells -- Doubly-curved shallow shells.

This book develops a uniform accurate method which is capable of dealing with vibrations of laminated beams, plates and shells with arbitrary boundary conditions including classical boundaries, elastic supports and their combinations. It also provides numerous solutions for various configurations including various boundary conditions, laminated schemes, geometry and material parameters, which fill certain gaps in this area of reach and may serve as benchmark solutions for the readers. For each case, corresponding fundamental equations in the framework of classical and shear deformation theory are developed. Following the fundamental equations, numerous free vibration results are presented for various configurations including different boundary conditions, laminated sequences and geometry and material properties. The proposed method and corresponding formulations can be readily extended to static analysis.