Refined Dynamical Theories of Beams, Plates and Shells and Their Applications: Proceedings of the Euromech-Colloquium 219

Front Matter....Pages I-IX
From Newton’s Fluid to the Theory of Plates....Pages 1-16
On a Certain Mixed Variational Theorem and on Laminated Elastic Shell Theory....Pages 17-27
A Note on the Derivation of Higher-Order Two-Dimensional Theories of Transverse Bending of Elastic Plates....Pages 28-31
A General Transverse Shear Deformation Theory of Anisotropic Plates....Pages 32-43
Component Mode Synthesis of Multi-Rotor Systems....Pages 44-55
Dynamic Stability of Initially Curved Columns under a Time Dependent Axial Displacement of their Support....Pages 56-71
Theoretical and Experimental Results on the Dynamic Behaviour of Composite Beams, Plates and Shells....Pages 72-88
Study of the Dynamic Behaviour of Eccentrically Stiffened Mindlin Plates under the Influence of Plane Forces....Pages 91-101
On the Vibration of Thick Annular Plates....Pages 102-111
An “Exact” Solution for the Linear Small-Amplitude Vibrations of a Rectangular Plate....Pages 112-121
Consistent and Inconsistent Higher Order Beam and Plate Theories: Some Surprising Comparisons....Pages 122-130
Energy-Consistent Models of Plates with Moderate Thickness....Pages 131-139
Geometrically Nonlinear Theories for Laminated Composite Plates Treated in the Framework of the Small Strain and Moderate Rotation Concept....Pages 140-150
A Three-Dimensional Refined Theory of Elastic Plates....Pages 151-159
Refined Effects in Beam Theories and Their Influence on the Natural Frequencies of Beams....Pages 163-179
Nonlinear Vibrations of Beams Including Shear Deformations and Rotatory Inertia....Pages 180-191
Torsion and Related Concepts: Some Steps Beyond Saint-Venant’s Principle....Pages 192-201
Wave Propagation in Elastic Rods, with Shear and Rotary Inertia Effects....Pages 202-212
On Nonlinear Equations of a Beam....Pages 213-222
Riemann’s Formulae and Their Application to the Timoshenko Beam Model....Pages 223-232
Dynamic Stability of Thick, Orthotropic, Circular Cylindrical Shells....Pages 235-244
On the Wave Solution for Beams on a Viscoelastic Foundation Subjected to a Travelling and Oscillating Force....Pages 245-260
Influence of the Shear Deformation and Rotary Inertia on the Flutter of a Cantilever Subjected to a Follower Force — Exact and Symbolic Manipulation Solutions....Pages 261-273
Dynamic Response and Reliability of Laminated Plates to Random Loading....Pages 274-285
A Mixed Variational Formulation for Laminated Plates....Pages 289-303
Influence of the Variation of Structural Properties on the Probability of a Composite Plate to Meet a Target Eigenfrequency....Pages 304-314
On Higher-Order Effects of Coupled Wave Motion in Layered Structures....Pages 315-323
Free Vibration Analysis of Thickness Shear Deformable Cross-Ply Laminated Oval Cylindrical Shells....Pages 324-332
A Dynamical Theory of Inhomogeneous Slender Structures and its Applications....Pages 333-347
Some Static and Dynamical Contact Problems between a Mindlin Plate and an Elastic Foundation....Pages 351-361
One-Dimensional Theories for Cracked Beams....Pages 362-372
Refined Effects in Turbomachinery Blade Vibrations....Pages 373-382
Self-Adjointness and Definiteness —A Necessary Condition for the Boundary Value Problem of the Free Undamped Vibrations of the Plate....Pages 383-392
Damped Response of Orthotropic Shallow Spherical Shells on Nonlinear Elastic Foundation....Pages 393-401
Nonlinear Dynamic Analysis of Shells of Revolution....Pages 402-419
Various Approaches for the Modeling of Flexible Robot Arms....Pages 420-429
On the Generality of Systems Having an Infinitely Dense Discrete Spectrum of Resonant Frequencies....Pages 430-436
Back Matter....Pages 438-438