VISCOELASTIC DAMPING OF VIBRATIONS OF SANDWICH PLATES AND SHELLS
POLYTECHNIC INST OF BROOKLYN NY
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A new variational principle is presented, which may be considered as a generalized Hamiltons principle. The principle is made use of in the derivation of the complete system of equations for a sandwich cylindrical shell, which are reducible to those of a sandwich plate as a special case. The way the equations are derived is also new. The equations of the sandwich plate and cylindrical shell are used to investigate the undamped vibrations of these structures. Of particular interest are an analysis of the coupling between the flexural and extensional motions of the sandwich cylindrical shell and a demonstration of the importance of transverse shear deformation in the vibrations of the sandwich plate and cylindrical shell. The effectiveness of viscoelastic damping of vibrations in the sandwich plate and cylindrical shell is investigated through the use of the concept of the damping parameter.
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