Advances in the Mechanics of Plates and Shells: The Avinoam Libai Anniversary Volume

ISBN-13: 9781402003806 / Angielski / Miękka / 2001 / 361 str.

D. Durban; D. Givoli; J. G. Simmonds

Opis

The optimal control of flexible structures is an active area of research. The main body of work in this area is concerned with the control of time-dependent displacements and stresses, and assumes linear elastic conditions, namely linear elastic material behavior and small defor- tion. See, e. g., 1]- 3], the collections of papers 4, 5], and references therein. On the other hand, in the present paper we consider the static optimal control of a structure made of a nonlinear elastic material and und- going large deformation. An important application is the suppression of static or quasi-static elastic deformation in flexible space structures such as parts of satellites by the use of control loads 6]. Solar rad- tion and radiation from other sources induce a temperature field in the structure, which in turn generates an elastic displacement field. The displacements must usually satisfy certain limitations dictated by the allowed working conditions of various orientation-sensitive instruments and antennas in the space vehicle. For example, a parabolic reflector may cease to be effective when undergoing large deflection. The elastic deformation can be reduced by use of control loads, which may be imp- mented via mechanically-based actuators or more modern piezoelectric devices. When the structure under consideration is made of a rubb- like material and is undergoing large deformation, nonlinear material and geometric effects must be taken into account in the analysis.

Spis treści

Dedication. Publications by Avinoam Libai. Breathing Oscillations of Rotating Nonlinearly Elastic and Viscoelastic Rings; S.S. Antman. A Consistent Theory of, and a Variational Principle for, Thick Elastic Shells Undergoing Finite Rotations; S.N. Atluri, et al. On the Theory of Quasi-Shallow Shells; E.L. Axelrad. Experiments for Measuring Interface Fracture Properties; L. Banks-Sills. Some Refinements in Analysis of Thick-Walled Tubes in Axial Bending; C.W. Bert. Optimization of Panels with Riveted Z-Shaped Stiffeners via PANDA2; D. Bushnell. Nondestructive Testing of Thin-Walled Ceramic Matrix Composites with Matrix Cracks Using Thermography; L.W. Byrd, V. Birman. A Shell-Buckling Paradox Resolved; C.R. Calladine. Buckling Analysis of Composite Plates; R. Gilat, J. Aboudi. Static Optimal Control of the Large Deformation of a Hyperelastic Plate; D. Givoli, I. Patlashenko. Computer Simulation of Nonisothermal Elastoplastic Shell Responses; W.B. Krätzig, et al. On Application of the Exact Theory of Elastic Beams; P. Ladevèze, et al. Effects of Eccentric Stiffening on Static and Dynamic Nonlinear Response of Rectangular Panels Exposed to Thermomechanical Loading; L. Librescu, M.A. Souza. Bending and Twisting Effects in the Three-Dimensional Finite Deformation of an Inextensible Network; L. Luo, D.J. Steigman. Plastic Buckling of Rectangular Plates with Random Material Properties and Random Loading: A Demonstration of Probabilistic Structural Analysis; G. Maymon. On Using Rotations as Primary Variables in the Non-Linear Theory of Thin Irregular Shells; W. Pietraszkiewicz. On Shear Deformation Plate Solutions: Relationship to the Classical Solutions; J.N. Reddy, C.M. Wang. A Simple Derivation of Cosserat Theories of Shells, Rods and Points; M.B.Rubin. Structural Similitude and Scaling Laws for Plates and Shells: A Review; G.J. Simitses, et al. Reduction of the Linear Sanders-Koiter Equations for Fully Anisotropic Non-Circular Cylindrical Shells to Two Coupled Fourth-Order Equations; J.G. Simmonds. Large Deformation of a Pressurized Tube; C.R. Steele. On Lateral Buckling of End-Loaded Cantilevers with Transverse Shear Deformations; F.Y.M. Wan.