The book "Linear and Nonlinear Structural Mechanics" by Ali H. Nayfeh and P. Frank Pai provides a comprehensive overview of the principles and methods used in the analysis of linear and nonlinear structural systems. The content is divided into several chapters, each focusing on different aspects of structural mechanics: 1. **Introduction**: Discusses basic concepts such as structural elements, nonlinearities, composite materials, damping, and dynamic characteristics of linear and nonlinear discrete systems. It also covers the analysis of linear and nonlinear continuous systems using various methods like the Ritz method, finite element method, and weighted residual methods. 2. **Elasticity**: Explains the principles of dynamics, strain-displacement relations, stress-strain relations for different types of materials, and governing equations for structural systems. 3. **Strings and Cables**: Focuses on the modeling and analysis of taut strings and cables, including exact and approximate equations of motion, nonlinear response, and natural frequencies and modes. 4. **Beams**: Introduces beam theories, geometric nonlinearities, shear deformations, and external and internal resonances. It covers both linear and nonlinear theories, including the Euler-Bernoulli beam theory and shear-deformable beam theories. 5. **Dynamics of Plates**: Discusses linear and nonlinear vibrations of rectangular, circular, and annular plates, as well as the dynamics of rotating disks and micropumps. 6. **Shells**: Examines shell theories, including classical and shear-deformable theories, and their applications to doubly-curved and circular cylindrical shells. It also covers nonlinear dynamics of infinitely long circular cylindrical shells and axisymmetric motion of closed spherical shells. The book is a valuable resource for engineers and researchers in the field of structural mechanics, providing both theoretical foundations and practical applications.The book "Linear and Nonlinear Structural Mechanics" by Ali H. Nayfeh and P. Frank Pai provides a comprehensive overview of the principles and methods used in the analysis of linear and nonlinear structural systems. The content is divided into several chapters, each focusing on different aspects of structural mechanics: 1. **Introduction**: Discusses basic concepts such as structural elements, nonlinearities, composite materials, damping, and dynamic characteristics of linear and nonlinear discrete systems. It also covers the analysis of linear and nonlinear continuous systems using various methods like the Ritz method, finite element method, and weighted residual methods. 2. **Elasticity**: Explains the principles of dynamics, strain-displacement relations, stress-strain relations for different types of materials, and governing equations for structural systems. 3. **Strings and Cables**: Focuses on the modeling and analysis of taut strings and cables, including exact and approximate equations of motion, nonlinear response, and natural frequencies and modes. 4. **Beams**: Introduces beam theories, geometric nonlinearities, shear deformations, and external and internal resonances. It covers both linear and nonlinear theories, including the Euler-Bernoulli beam theory and shear-deformable beam theories. 5. **Dynamics of Plates**: Discusses linear and nonlinear vibrations of rectangular, circular, and annular plates, as well as the dynamics of rotating disks and micropumps. 6. **Shells**: Examines shell theories, including classical and shear-deformable theories, and their applications to doubly-curved and circular cylindrical shells. It also covers nonlinear dynamics of infinitely long circular cylindrical shells and axisymmetric motion of closed spherical shells. The book is a valuable resource for engineers and researchers in the field of structural mechanics, providing both theoretical foundations and practical applications.