Deman Tang – författare

This comprehensive volume discusses Lagrange's Equations and Hamilton's Principle, followed by a wide range of topics of current interests in practice and research including random dynamics and nonlinear dynamics in the context of fluid (acoustics) and structural systems and their interactions. Very high dimensional systems are given special attention including notable mentions of asymptotic modal analysis and reduced order models for macroscopic and nanoscale systems. Recent developments in fluid structure interaction in high speed flows are also included. The useful reference text benefits professionals, researchers, academics, graduate and undergraduate students in the field of aerospace, civil and mechanical engineering.

Many books on dynamics start with a discussion of systems with one or two degrees of freedom and then turn to the generalization to the case of many degrees of freedom. For linear systems, the concept of eigenfunctions provides a compact and elegant method for decomposing the dynamics of a high dimensional system into a series of independent single-degree-of-freedom dynamical systems. Yet, when the system has a very high dimension, the determination of the eigenfunctions may be a distinct challenge, and when the dynamical system is nonconservative and/or nonlinear, the whole notion of uncoupled eigenmodes requires nontrivial extensions of classical methods. These issues constitute the subject of this book.