Introduction to Engineering Fluctuation Theory

Author: Liao Zhenpeng
Publisher:
Publish Date: 2002-03-01
Features: This book is suitable for teaching at the graduate level for students in science and engineering disciplines involving wave and vibration problems in engineering, and can also be used as a reference for teachers, scientists, and senior undergraduate students. The book discusses the theory and research methods of engineering wave problems, divided into two parts. The first part focuses on the dynamics of linear structures with frequency domain analysis as the main thread. One feature of the first part is the unified explanation of the main analytical methods for structural dynamic response and their respective applicability using wave theory. Another feature is the parallel use of finite closed systems and infinite open systems, as well as continuous and discrete models, thereby systematically introducing the concept of structural-medium dynamic interaction into structural dynamics. The second part focuses on time-domain numerical simulation as the main thread to discuss structural dynamic response and elastic wave scattering problems. It emphasizes the practical artificial boundary conditions for simulating infinite domains and systematically elaborates on the numerical simulation techniques for near-field waves. This technique can not only be used to address solid dynamics problems in fields such as civil engineering, mechanical engineering, and geophysics, especially the linear and nonlinear dynamics problems of large and complex systems and the near-field challenges of elastic wave scattering, but also provides valuable reference for studying near-field wave problems in scientific and technological fields such as electromagnetism and acoustics.