Structural Vibration: A Uniform Accurate Solution for Laminated Beams, Plates and Shells with General Boundary Conditions

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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.

Author(s): Guoyong Jin, Tiangui Ye, Zhu Su (auth.)
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 2015

Language: English
Pages: 312
Tags: Vibration, Dynamical Systems, Control; Structural Mechanics; Mechanics

Front Matter....Pages i-xii
Fundamental Equations of Laminated Beams, Plates and Shells....Pages 1-35
Modified Fourier Series and Rayleigh - Ritz Method....Pages 37-62
Straight and Curved Beams....Pages 63-98
Plates....Pages 99-151
Cylindrical Shells....Pages 153-197
Conical Shells....Pages 199-233
Spherical Shells....Pages 235-269
Shallow Shells....Pages 271-303
Back Matter....Pages 305-312