Real time structural health monitoring of vibrating systems Targeted at researchers and practitioners in the field of science and engineering this book strives to provide a self sustained introduction to the genre of real time structural health monitoring. As most work till date have shown to implement algorithms that require windowing of the accumulated data the monograph seamlessly presents a coherent transition from the traditional batch mode practise towards a recently developed array of recursive approaches. Under this framework the book mainly focuses on the theoretical development and engineering applications of algorithms that are premised on first order perturbation (FOP) techniques. The development of real time algorithms aimed at identifying the structural systems and the inflicted damage online through theoretical approaches paves way for an in depth understanding of the discussed topics. It then continues to demonstrate the solution to a class of inverse dynamic problems through numerically simulated systems. Extensive theoretical derivations supported by mathematical formulations pivoted around the simple concepts of eigenspace updates forms the key cornerstone of the book. The output response streaming in real time from multi degree of freedom systems provide key information about the systems health that is subsequently utilized to identify the modal parameters and the damage in real time. Damage indicators connotative of the nature instant and location of damage identified in a single framework are developed in the light of real time damage case studies. Backed by a comprehensive assortment of experimental test beds this book includes demonstrations to emulate real life damage scenarios under controlled laboratory conditions. Applicability of the proposed recursive methods towards practical problems demonstrate their robustness as viable candidates for real time structural health monitoring