Böcker av Sondipon Adhikari

Probabilistic Finite Element Model Updating Using Bayesian Statistics: Applications to Aeronautical and Mechanical EngineeringTshilidzi Marwala and Ilyes Boulkaibet, University of Johannesburg, South AfricaSondipon Adhikari, Swansea University, UKCovers the probabilistic finite element model based on Bayesian statistics with applications to aeronautical and mechanical engineeringFinite element models are used widely to model the dynamic behaviour of many systems including in electrical, aerospace and mechanical engineering.The book covers probabilistic finite element model updating, achieved using Bayesian statistics. The Bayesian framework is employed to estimate the probabilistic finite element models which take into account of the uncertainties in the measurements and the modelling procedure. The Bayesian formulation achieves this by formulating the finite element model as the posterior distribution of the model given the measured data within the context of computational statistics and applies these in aeronautical and mechanical engineering.Probabilistic Finite Element Model Updating Using Bayesian Statistics contains simple explanations of computational statistical techniques such as Metropolis-Hastings Algorithm, Slice sampling, Markov Chain Monte Carlo method, hybrid Monte Carlo as well as Shadow Hybrid Monte Carlo and their relevance in engineering.Key features:* Contains several contributions in the area of model updating using Bayesian techniques which are useful for graduate students.* Explains in detail the use of Bayesian techniques to quantify uncertainties in mechanical structures as well as the use of Markov Chain Monte Carlo techniques to evaluate the Bayesian formulations.The book is essential reading for researchers, practitioners and students in mechanical and aerospace engineering.

Since Lord Rayleigh introduced the idea of viscous damping in his classic work "The Theory of Sound" in 1877, it has become standard practice to use this approach in dynamics, covering a wide range of applications from aerospace to civil engineering.

The first comprehensive text to cover non-local elasticity theory for static, dynamic, and stability analysis of wide-ranging nanostructures, Non-local Structural Mechanics gives science and engineering graduates and researchers a detailed understanding of the methods of non-local analysis necessary for nanoscale structures.

While viscous damping figures in a huge range of engineering applications, this approach is often adopted more for mathematical convenience than modeling the physics of vibration damping. Over the past decade extensive research has been done on more general non-viscous damping models and vibration of non-viscously damped systems.