Linear and Nonlinear Structural Mechanics by Ali H. Nayfeh and P. Frank Pai provides a comprehensive overview of structural mechanics, focusing on both linear and nonlinear systems. The book begins with an introduction to structural elements, nonlinearities, composite materials, and damping. It then explores the dynamic characteristics of linear and nonlinear discrete systems, followed by analyses of linear and nonlinear continuous systems. The text covers elasticity principles, strain-displacement relations, stress-strain relations, and governing equations for structures.
The book then delves into the modeling of strings and cables, discussing their equations of motion, nonlinear responses, and natural frequencies. It moves on to beams, covering linear and nonlinear theories, including Euler-Bernoulli and Timoshenko beam theories, as well as shear-deformable theories. The text also addresses nonlinear 2D and 3D beam theories, and nonlinear layerwise shear-deformable plate theories.
The dynamics of plates are discussed, including linear and nonlinear vibrations of rectangular, membrane, circular, and annular plates, as well as rotating disks and thermally loaded plates. The final chapter covers shells, discussing linear and nonlinear shell theories, including classical and shear-deformable theories, and nonlinear dynamics of infinitely long and axisymmetric spherical shells.
The book is a detailed reference for engineers and researchers in structural mechanics, providing a thorough understanding of both linear and nonlinear structural behavior. It includes a bibliography for further reading.Linear and Nonlinear Structural Mechanics by Ali H. Nayfeh and P. Frank Pai provides a comprehensive overview of structural mechanics, focusing on both linear and nonlinear systems. The book begins with an introduction to structural elements, nonlinearities, composite materials, and damping. It then explores the dynamic characteristics of linear and nonlinear discrete systems, followed by analyses of linear and nonlinear continuous systems. The text covers elasticity principles, strain-displacement relations, stress-strain relations, and governing equations for structures.
The book then delves into the modeling of strings and cables, discussing their equations of motion, nonlinear responses, and natural frequencies. It moves on to beams, covering linear and nonlinear theories, including Euler-Bernoulli and Timoshenko beam theories, as well as shear-deformable theories. The text also addresses nonlinear 2D and 3D beam theories, and nonlinear layerwise shear-deformable plate theories.
The dynamics of plates are discussed, including linear and nonlinear vibrations of rectangular, membrane, circular, and annular plates, as well as rotating disks and thermally loaded plates. The final chapter covers shells, discussing linear and nonlinear shell theories, including classical and shear-deformable theories, and nonlinear dynamics of infinitely long and axisymmetric spherical shells.
The book is a detailed reference for engineers and researchers in structural mechanics, providing a thorough understanding of both linear and nonlinear structural behavior. It includes a bibliography for further reading.