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The primary objective of this two-volume book is to bring together leading researchers of vibrations who are involved in the development of new computational and analytical/semi-analytical techniques. Vibration problems are commonly encountered in various systems of applied mathematics, physics, aeronautical, civil, architectural, marine, mechanical, nuclear, biological and other areas of science and technology. These systems need to be analyzed by easy, fast and efficient computa tional approaches. Different mathematical theories of vibration, numerical simu lation, machine intelligence techniques, physical experiments with computational investigations and their various engineering and science applications are included in these two volumes. Accordingly, these volumes will provide an outstanding opportunity to learn from the contributions of well-known researchers of their ideas, experiences, and advances.
Volume 2 of this book contains soft computing including machine intelligence techniques and uncertainty scenarios with respect to various vibration problems. In this volume, a total 15 chapters are included. Machine intelligence based methods for solving different vibration problems are included in chapters 1–4. Chapters 5 and 6 contain inverse vibration problems and hybrid computational methods. Uncertainty scenarios with respect to interval, fuzzy, and stochastic are addressed in chapters 7–11. Fractional order systems with uncertainty are included in chapters 12–14. Lastly, chapter 15 is dedicated to the problem of vibration of structural elements in fluid.
Deep learning for solution and inversion of structural mechanics and vibrations
Artificial neural network based technique for solving nonlinear eigenvalue problems of structural dynamics with fuzzy parameters
Multilayer unsupervised symplectic artificial neural network model for solving Duffing and Van der Pol–Duffing oscillator equations arising in engineering problems
Estimation of structural parameters using Chebyshev neural network model
Inverse problems in vehicle–bridge interaction dynamics with application to bridge health monitoring
Hybrid computational methods in vibration problems
Vibration analysis of structures with uncertain parameters—an interval finite element approach
Vibrations of functionally graded structure with material uncertainties
A new triple parametric approach to solve type-2 fuzzy structural problems with uncertain parameters in terms of interval type-2 trapezoidal fuzzy numbers
Non-linear dynamic problems with uncertainty in type-2 fuzzy environment
Semi-analytical methods for solving Ito stochastic models on the notion of Karhunen–Loéve Brownian motion transform
Arbitrary order vibration equation of large membranes with uncertainty
Fractional derivatives: a numerical insight into flow problems involving second grade fluid under fuzzy environment
Successive approximation method based on uncertain dynamic responses of a fractionally damped beam
Vibration of a cantilever beam immersed in a fluid with uncertain parameters