Texts on Computational Mechanics
This volume covers the computational dynamics of linear and non-linear engineering systems subject to conservative as well as non-conservative loads. Available in both paperback and hardback, the volume proposes an as simple as possible numerical evaluation of dynamic phenomena.[p]Practically all known methods of linear spectral analysis like the Householder, Givens, Wiland, Lanczos, Jacobi, Guyan, Eberlein, etc., are clearly detailed with a critical appraisal of their advantages and disadvantages. A great number of flow diagrams and examples are given in order to facilitate the understanding and practical application. A technically experienced reader will no doubt appreciate the interpretative difficulties of a subject like random or stochastic vibration expounded in a special chapter. Non-model damping is also detailed and the highly topical direct integration methods of the equations of dynamic equilibrium receive a very broad description.[p]Finally non-linear oscillations are analysed mostly from the computational point of view. Here the Newmark and the Hermitean algorithms receive very detailed accounts and a critical appraisal. At the same time the subject of non-linear oscillations is introduced through a semi-analytical discussion of the Duffing equation in which the various attractor systems in phase space including strange attractors for chaotic manifestation are described.[p]This volume is the first to appear in this series of self-contained textbooks designed to present a modern, comprehensive account of computational mechanics, which will appeal to both student and experienced practitioner alike.