Vibrations and Impedances of Rectangular Plates with Free Boundaries

Auteur
Jörg Wallaschek received his PhD from the Technische Hochschule Darmstadt, Germany. He is Professor of Mechatronics and Dynamics at the University of Paderborn.

Contenu

1. Introduction.- 1.1 Substructure techniques in the dynamics of large flexible structures.- 1.2 Remarks on the mechanical impedance and on the dynamic stiffness of elastic systems.- 2. General considerations on the mechanical impedance and on the dynamic stiffness of plates.- 2.1 The classical plate theory.- 2.2 Plate impedances and the reduced multipoint impedance matrix.- 2.3 Singularities in Kirchhoff plates.- 2.4 Literature survey on plate vibrations.- 3. Dynamic stiffness of rectangular plates.- 3.1 Symmetric and antisymmetric vibrations.- 3.2 The method of superposition.- 3.3 Plate connected at center.- 3.4 Plate connected at a point on a line of symmetry.- 3.5 Plate connected at an arbitrary point.- 3.6 On the reduced multipoint stiffness and impedance matrices.- 3.7 Comparison with experiments.- 3.8 Conclusions.- 4. Final remarks.- 5. Literature.