Refined Dynamical Theories of Beams, Plates and Shells and Their Applications

Professor Dr.- Ing. Horst Irretier lehrt an der Universität Gh Kassel im Fachbereich Maschinenbau Mechanik und Maschinendynamik.

Invited Keynote Lectures.- From Newton's Fluid to the Theory of Plates.- On a Certain Mixed Variational Theorem and on Laminated Elastic Shell Theory.- A Note on the Derivation of Higher-Order Two-Dimensional Theories of Transverse Bending of Elastic Plates.- A General Transverse Shear Deformation Theory of Anisotropic Plates.- Component Mode Synthesis of Multi-Rotor Systems.- Dynamic Stability of Initially Curved Columns under a Time Dependent Axial Displacement of Their Support.- Theoretical and Experimental Results on the Dynamic Behaviour of Composite Beams, Plates and Shells.- Invited Contributed Lectures.- Session A Theory of Vibrations of Plates and Shells.- Study of the Dynamic Behaviour of Eccentrically Stiffened Mindlin Plates under the Influence of Plane Forces.- On the Vibration of Thick Annular Plates.- An "Exact" Solution for the Linear Small-Amplitude Vibrations of a Rectangular Plate.- Consistent and Inconsistent Higher Order Beam and Plate Theories: Some Surprising Comparisons.- Energy-Consistent Models of Plates with Moderate Thickness.- Geometrically Nonlinear Theories for Laminated Composite Plates Treated in the Framework of the Small Strain and Moderate Rotation Concept.- A Three-Dimensional Refined Theory of Elastic Plates.- Session B Various Approaches for Dynamical Problems of Beams.- Refined Effects in Beam Theories and their Influence on the Natural Frequencies of Beams.- Nonlinear Vibrations of Beams Including Shear Deformations and Rotary Inertia.- Torsion and Related Concepts: Some Steps Beyond Saint-Venant's Principle.- Wave Propagation in Elastic Rods, With Shear and Rotary Inertia Effects.- On Nonlinear Equations of a Beam.- Riemann's Formulae and their Application to the Timoshenko Beam Model.- Session C Random Vibrations andDynamic Stability.- Dynamic Stability of Thick, Orthotropic, Circular Cylindrical Shells.- On the Wave Solution for Beams on a Viscoelastic Foundation Subjected to a Travelling and Oscillating Force.- Influence of the Shear Deformation and Rotary Inertia on the Flutter of a Cantilever Subjected to a Follower Force - Exact and Symbolic Manipulation Solutions.- Dynamic Response and Reliability of Laminated Plates to Random Loading.- Session D Vibrations of Composite Structures.- A Mixed Variational Formulation for Laminated Plates.- Influence of the Variation of Structural Properties on the Probability of a Composite Plate to Meet a Target Eigenfrequency.- On Higher-Order Effects of Coupled Wave Motion in Layered Structures.- Free Vibration Analysis of Thickness Shear Deformable Cross-Ply Laminated Oval Cylindrical Shells.- A Dynamical Theory of Inhomogeneous Slender Structures and its Applications.- Session E Special Dynamical Problems of Beams, Plates and Shells.- Some Static and Dynamical Contact Problems Between a Mindlin Plate and an Elastic Foundation.- One-Dimensional Theories for Cracked Beams.- Refined Effects in Turbomachinery Blade Vibrations.- Self-Adjointness and Definiteness - a Necessary Condition for the Boundary Value Problem of the Free Undamped Vibrations of the Plate.- Damped Response of Orthotropic Shallow Spherical Shells on Nonlinear Elastic Foundation.- Nonlinear Dynamic Analysis of Shells of Revolution.- Various Approaches for the Modeling of Flexible Robot Arms.- On the Generality of Systems having an Infinitely Dense Discrete Spectrum of Resonant Frequencies.