Applied Mechanics Dual System

Author: Zhong Wanxie
Publisher:
Publish Date: 2002-03-01
Features: This book aims to reconstruct the teaching and research system of applied mechanics. It also particularly emphasizes algorithms, with a set of refined integration algorithms and symplectic eigenvalue problem algorithms being another highlight of the book. It is suitable for senior undergraduate students, graduate students, young teachers, and scientific and technical personnel majoring in applied mechanics. Hamiltonian classical analytical mechanics is the most fundamental system in mechanics and also the foundation for statistical mechanics, electrodynamics, quantum mechanics, and other fields. It has not been sufficiently reflected in applied mechanics in the past. Applied mechanics should consciously and systematically apply the dual variable system to its various branches. Based on the simulation relationship between structural mechanics and control theory, the dual variable theory system is introduced into elasticity, changing the traditional approach of using the semi-inverse method to solve elasticity problems. The use of the dual system also significantly advances vibration theory, wave propagation, and cybernetics.