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.
The first book available on vibration analysis of thin and moderately thick laminated beams plates and shells with general boundary conditionsA uniform modified Fourier series method is developed and both strong and weak solution procedures are presentedThe proposed method and formulations can be readily extended to static analysisContains numerous tables and figures that show accurate solutions of laminated beams plates cylindrical conical spherical shallow and deep open shellsThis book contains numerous new results which may serve as benchmark solutions for future researches and validating other numerical methods