Dian Xu

This book introduces a powerful analytical framework that unifies classical and modern theories of structural mechanics under a symplectic formulation. Drawing on rigorous mathematical foundations, it develops an elegant approach for solving bending, vibration, and buckling problems in both plates and shells. The text applies the symplectic superposition method to a wide range of models, from thin and moderately thick plates to laminated composites, sandwich structures, and shells with varying boundary conditions. It extends the analysis to nonlinear behaviors, including elastoplastic buckling, post-buckling responses, and plates on tensionless foundations, as well as irregular geometries and cracked structures. Practical engineering applications are highlighted in micro- and nano-structures, integrated circuits, microsensors, and flexible electronics, demonstrating the method's versatility. This comprehensive resource bridges advanced theory with engineering practice for researchers, designers, and graduate students in structural and mechanical engineering.