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In many applications composite structures are subjected to vibration which strongly influences service performance and life. This is the first systematic pre- sentation of the problems of and analytical techniques for random vibration and its effect on different types of composite structures.
The contents of this book are related to composite mechanics, nonlinear plate and shell mechanics, damage mechanics, elasto-plastic mechanics, visco-elastic mechanics, piezoelectric elastic mechanics and nonlinear dynamics, which embody the combination and integration among solid mechanics, material science and nonlinear science.
Nonlinear Analysis of Structures presents a complete evaluation of the nonlinear static and dynamic behavior of beams, rods, plates, trusses, frames, mechanisms, stiffened structures, sandwich plates, and shells. These elements are important components in a wide variety of structures and vehicles such as spacecraft and missiles, underwater vessels and structures, and modern housing. Today's engineers and designers must understand these elements and their behavior when they are subjected to various types of loads. Coverage includes the various types of nonlinearities, stress-strain relations and the development of nonlinear governing equations derived from nonlinear elastic theory. This complete guide includes both mathematical treatment and real-world applications, with a wealth of problems and examples to support the text. Special topics include a useful and informative chapter on nonlinear analysis of composite structures, and another on recent developments in symbolic computation. Designed for both self-study and classroom instruction, Nonlinear Analysis of Structures is also an authoritative reference for practicing engineers and scientists. One of the world's leaders in the study of nonlinear structural analysis, Professor Sathyamoorthy has made significant research contributions to the field of nonlinear mechanics for twenty-seven years. His foremost contribution to date has been the development of a unique transverse shear deformation theory for plates undergoing large amplitude vibrations and the examination of multiple mode solutions for plates. In addition to his notable research, Professor Sathyamoorthy has also developed and taught courses in the field at universities in India, Canada, and the United States.
* Explains the physical meaning of linear and nonlinear structural mechanics. * Shows how to perform nonlinear structural analysis. * Points out important nonlinear structural dynamics behaviors. * Provides ready-to-use governing equations.
The book exposes three alternative and competing approaches to uncertainty analysis in engineering. It is composed of some essays on various sub-topics like random vibrations, probabilistic reliability, fuzzy-sets-based analysis, unknown-but-bounded variables, stochastic linearization, possible difficulties with stochastic analysis of structures.
Emphasizing the static and dynamic behaviors of nanocomposite single- or multilayered structures in the framework of continuum mechanics-based approaches, Mechanics of Nanocomposites: Homogenization and Analysis investigates mechanical behaviors of polymeric matrices strengthened via various nanofillers and nanoparticles such as carbon nanotubes (CNTs), graphene platelets (GPLs), and graphene oxides (GOs). It covers equivalent properties of nanocomposites that are obtained via homogenization techniques based on micromechanics approaches. In addition, this comprehensive book: Discusses the effects of various nanofillers and identifies the amount of the improvement that can be induced in the stiffness of the polymeric nanocomposites by adding a finite content of the aforementioned nanosize reinforcements Magnifies the effect of the number of the stacking plies of the multi-layered nanocomposite structures on both static and dynamic responses of the continuous systems manufactured from such sandwich structures Presents a wide range of analytical and numerical solution procedures Investigates the effects of porosity along with mechanical characteristics of nanocomposites Considers the time-dependency of the material properties of the viscoelastic polymeric nanocomposite structures Performs analyses using an energy-based approach incorporated with the strain-displacement relations of both classical and higher-order shear deformable beam, plate, or shell theorems Aimed at researchers, academics, and professionals working across mechanical, materials, and other areas of engineering, this work ensures that readers are equipped to fully understand the mechanical characteristics of nanocomposite structures so that they can design, develop, and apply these materials effectively.