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

1. Front Matter

   Pages I-IX

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2. Invited Keynote Lectures

   1. From Newton’s Fluid to the Theory of Plates

      • O. Mahrenholtz, J. Appeltauer

      Pages 1-16

   2. On a Certain Mixed Variational Theorem and on Laminated Elastic Shell Theory

      • E. Reissner

      Pages 17-27

   3. A Note on the Derivation of Higher-Order Two-Dimensional Theories of Transverse Bending of Elastic Plates

      • E. Reissner

      Pages 28-31

   4. A General Transverse Shear Deformation Theory of Anisotropic Plates

      • Liviu Librescu, J. N. Reddy

      Pages 32-43

   5. Component Mode Synthesis of Multi-Rotor Systems

      • S. H. Crandall, N. A. Yeh

      Pages 44-55

   6. Dynamic Stability of Initially Curved Columns under a Time Dependent Axial Displacement of their Support

      • A. N. Kounadis, I. Mallis

      Pages 56-71

   7. Theoretical and Experimental Results on the Dynamic Behaviour of Composite Beams, Plates and Shells

      • Mahir Sayir

      Pages 72-88

3. Invited Contributed Lectures

   1. Theory of Vibrations of Plates and Shells

      1. Study of the Dynamic Behaviour of Eccentrically Stiffened Mindlin Plates under the Influence of Plane Forces

         • J. Yu, H. Lecoanet, J. F. Charioillaux

         Pages 91-101

      2. On the Vibration of Thick Annular Plates

         • James R. Hutchinson, Sanusi A. El-Azhari

         Pages 102-111

      3. An “Exact” Solution for the Linear Small-Amplitude Vibrations of a Rectangular Plate

         • J. L. King

         Pages 112-121

      4. Consistent and Inconsistent Higher Order Beam and Plate Theories: Some Surprising Comparisons

         • Mark Levinson

         Pages 122-130

      5. Energy-Consistent Models of Plates with Moderate Thickness

         • T. Lewiński

         Pages 131-139

      6. Geometrically Nonlinear Theories for Laminated Composite Plates Treated in the Framework of the Small Strain and Moderate Rotation Concept

         • Liviu Librescu, Rüdiger Schmidt

         Pages 140-150

      7. A Three-Dimensional Refined Theory of Elastic Plates

         • R. Souchet, J. C. Moussion, T. Bouziane

         Pages 151-159

   2. Various Approaches for Dynamical Problems of Beams

      1. Refined Effects in Beam Theories and Their Influence on the Natural Frequencies of Beams

         • Horst Irretier

         Pages 163-179

      2. Nonlinear Vibrations of Beams Including Shear Deformations and Rotatory Inertia

         • A. Luongo, M. Pignataro, G. Rega, F. Vestroni

         Pages 180-191

      3. Torsion and Related Concepts: Some Steps Beyond Saint-Venant’s Principle

         • Patrick Muller

         Pages 192-201

      4. Wave Propagation in Elastic Rods, with Shear and Rotary Inertia Effects

         • F. Pastrone

         Pages 202-212

      5. On Nonlinear Equations of a Beam

         • Amalia Pielorz

         Pages 213-222

As is known, classical theories of vibration of the most fre­ quently encountered structural elements (e. g. , beams, plates and shells) disregard the effects of the shear deformation and rotary inertia. Refined theories, with these effects taken into account, have been pioneered by Bresse, Lord Rayleigh, Timoshenko, Eric Reissner, Mindlin and others. These refined theories have been fruitfully applied in recent decades in both theoretical and prac­ tical solid mechanics problems. The European Mechanics Committee approved holding EURO~illCH Colloquium 219 on "Refined Dynamical Theories of Beams, Plates and Shells and Their Applications" for reviewing the recent devel­ opments, providing guidelines for future investigations and presenting a forum for current work of younger researchers. The Colloquium was held during September 23 - 26, 1986, at the Uni­ versitat-Gesamthochschule Kassel, in the city of Kassel, Federal Republic of Germany. 45 Representatives of academia and industry, from nine European countries, as well as from Israel, USA and India participated in this Colloquium. IV 36 lectures were presented during the five sessions: Session A: Theory of Vibrations of Plates and Shells Session B: Various Approaches for Dynamical Problems of Beams Session C: Random Vibrations and Dynamic Stability Session D: Vibrations of Composite Structures Session E: Special Dynamical Problems of Beams, Plates and Shells The papers in this volums were divided into two parts: papers of invited keynote lectures and those of the invited contributed lectures.

• Torsion
• beam
• deformation
• mechanics
• stability
• structure
• wave propagation

• Department of Civil Engineering, University of Notre Dame, Notre Dame, USA

  Isaac Elishakoff

• I.I.T., Haifa, Israel

  Isaac Elishakoff

• Institut für Mechanik, Gesamthochschule Kassel — Universität, Kassel, Germany

  Horst Irretier

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