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Full Description
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.
Contents
Breathing Oscillations of Rotating Nonlinearly Elastic and Viscoelastic Rings.- A Consistent Theory of, and a Variational Principle for, Thick Elastic Shells Undergoing Finite Rotations.- On the Theory of Quasi-shallow Shells.- Experiments for Measuring Interface Fracture Properties.- Some Refinements in Analysis of Thick-walled Tubes in Axial Bending.- Optimization of Panels with Riveted Z-shaped Stiffeners via PANDA2.- Nondestructive Testing of Thin-walled Ceramic Matrix Composites with Matrix Cracks Using Thermography.- A Shell-buckling Paradox Resolved.- Buckling Analysis of Composite Plates.- Static Optimal Control of the Large Deformation of a Hyperelastic Plate.- Computer Simulation of Nonisothermal Elastoplastic Shell Responses.- On Application of the Exact Theory of Elastic Beams.- Effects of Eccentric Stiffening on Static and Dynamic Nonlinear Response of Rectangular Panels Exposed to Thermomechanical Loading.- Bending and Twisting Effects in the Three-dimensional Finite Deformations of an Inextensible Network.- Plastic Buckling of Rectangular Plates with Random Material Properties and Random Loading: A Demonstration of Probabilistic Structural Analysis.- On Using Rotations as Primary Variables in The Non-linear Theory of Thin Irregular Shells.- On Shear Deformation Plate Solutions: Relationship to The Classical Solutions.- A Simple Derivation of Cosserat Theories of Shells, Rods and Points.- Structural Similitude and Scaling Laws for Plates and Shells: A Review.- Reduction of the Linear Sanders-Koiter Equations for Fully Anisotropic Non-circular Cylindrical Shells to Two Coupled Fourth-order Equations.- Large Deformation of a Pressurized Tube.- On Lateral Buckling of End-loaded Cantilevers with Transverse Shear Deformations.
