This book deals with the various aspects of stochastic dynamics, the resolution of large mechanical systems, and inverse problems. It integrates the most recent ideas from research and industry in the field of stochastic dynamics and optimization in structural mechanics over 11 chapters. These chapters provide an update on the various tools for dealing with uncertainties, stochastic dynamics, reliability and optimization of systems. The optimization–reliability coupling in structures dynamics is approached in order to take into account the uncertainties in the modeling and the resolution of the problems encountered. Accompanied by detailed examples of uncertainties, optimization, reliability, and model reduction, this book presents the newest design tools. It is intended for students and engineers and is a valuable support for practicing engineers and teacher-researchers.

The inverse dynamics problem was developed in order to provide researchers with the state of the art in inverse problems for dynamic and vibrational systems. Contrasted with a forward problem, which solves for the system output in a straightforward manner, an inverse problem searches for the system input through a procedure contaminated with errors and uncertainties. An inverse problem, with a focus on structural dynamics, determines the changes made to the system and estimates the inputs, including forces and moments, to the system, utilizing measurements of structural vibration responses only. With its complex mathematical structure and need for more reliable input estimations, the inverse problem is still a fundamental subject of research among mathematicians and engineering scientists. This book contains 11 articles that touch upon various aspects of inverse dynamic problems.

The papers in this volume present an overview of the general aspects and practical applications of dynamic inverse methods, through the interaction of several topics, ranging from classical and advanced inverse problems in vibration, isospectral systems, dynamic methods for structural identification, active vibration control and damage detection, imaging shear stiffness in biological tissues, wave propagation, to computational and experimental aspects relevant for engineering problems.

First published in 1991. This volume contains the proceedings of the first European Conference on Structural Dynamics (Eurodyne 90) held at the Ruhr University, Bochum, FRG in June 1990. Volume one (169-9) covers impact, dynamic stability, soil dynamics, system identification, earthquake engineering, earthquake engineering R/C structures, and earthquake engineering for steel structures.

The aim of this book is to present recent and innovative advances on research studies and engineering applications in important areas of vibration engineering and structural dynamics. The fourteen chapters of the book cover a wide range of interesting issues related to modelling, rotordynamics, vibration control, estimation and identification, modal analysis, dynamic structures, finite element analysis, numerical methods and other practical engineering applications and theoretical developments on this very broad matter. The audience of the book includes researchers, professors, engineers, practitioners, engineering students and new comers in a variety of disciplines seeking to know more about the state of the art, challenging open problems and innovative solution proposals in vibration engineering and structural dynamics.