Nonconservative Stability Problems of Modern Physics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Nonconservative Stability Problems of Modern Physics write by Oleg N. Kirillov. This book was released on 2021-03-08. Nonconservative Stability Problems of Modern Physics available in PDF, EPUB and Kindle. This updated revision gives a complete and topical overview on Nonconservative Stability which is essential for many areas of science and technology ranging from particles trapping in optical tweezers and dynamics of subcellular structures to dissipative and radiative instabilities in fluid mechanics, astrophysics and celestial mechanics. The author presents relevant mathematical concepts as well as rigorous stability results and numerous classical and contemporary examples from non-conservative mechanics and non-Hermitian physics. New coverage of ponderomotive magnetism, experimental detection of Ziegler’s destabilization phenomenon and theory of double-diffusive instabilities in magnetohydrodynamics.
Nonconservative Stability Problems of Modern Physics
Nonconservative Stability Problems of Modern Physics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Nonconservative Stability Problems of Modern Physics write by Oleg N. Kirillov. This book was released on 2013-06-26. Nonconservative Stability Problems of Modern Physics available in PDF, EPUB and Kindle. This work gives a complete overview on the subject of nonconservative stability from the modern point of view. Relevant mathematical concepts are presented, as well as rigorous stability results and numerous classical and contemporary examples from mechanics and physics. It deals with both finite- and infinite-dimensional nonconservative systems and covers the fundamentals of the theory, including such topics as Lyapunov stability and linear stability analysis, Hamiltonian and gyroscopic systems, reversible and circulatory systems, influence of structure of forces on stability, and dissipation-induced instabilities, as well as concrete physical problems, including perturbative techniques for nonself-adjoint boundary eigenvalue problems, theory of the destabilization paradox due to small damping in continuous circulatory systems, Krein-space related perturbation theory for the MHD kinematic mean field α2-dynamo, analysis of Campbell diagrams and friction-induced flutter in gyroscopic continua, non-Hermitian perturbation of Hermitian matrices with applications to optics, and magnetorotational instability and the Velikhov-Chandrasekhar paradox. The book serves present and prospective specialists providing the current state of knowledge in the actively developing field of nonconservative stability theory. Its understanding is vital for many areas of technology, ranging from such traditional ones as rotor dynamics, aeroelasticity and structural mechanics to modern problems of hydro- and magnetohydrodynamics and celestial mechanics.
Dynamic Stability and Bifurcation in Nonconservative Mechanics
Dynamic Stability and Bifurcation in Nonconservative Mechanics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Dynamic Stability and Bifurcation in Nonconservative Mechanics write by Davide Bigoni. This book was released on 2018-07-09. Dynamic Stability and Bifurcation in Nonconservative Mechanics available in PDF, EPUB and Kindle. The book offers a unified view on classical results and recent advances in the dynamics of nonconservative systems. The theoretical fundamentals are presented systematically and include: Lagrangian and Hamiltonian formalism, non-holonomic constraints, Lyapunov stability theory, Krein theory of spectra of Hamiltonian systems and modes of negative and positive energy, anomalous Doppler effect, reversible systems, sensitivity analysis of non-self-adjoint operators, dissipation-induced instabilities, local and global instabilities. They are applied to engineering situations such as the coupled mode flutter of wings, flags and pipes, flutter in granular materials, piezoelectric mechanical metamaterials, wave dynamics of infinitely long structures, radiative damping, stability of high-speed trains, experimental realization of follower forces, soft-robot locomotion, wave energy converters, friction-induced instabilities, brake squeal, non-holonomic sailing, dynamics of moving continua, and stability of bicycles and walking robots. The book responds to a demand in the modern theory of nonconservative systems coming from the growing number of scientific and engineering disciplines including physics, fluid and solids mechanics, fluid-structure interactions, and modern multidisciplinary research areas such as biomechanics, micro- and nanomechanics, optomechanics, robotics, and material science. It is targeted at both young and experienced researchers and engineers working in fields associated with the dynamics of structures and materials. The book will help to get a comprehensive and systematic knowledge on the stability, bifurcations and dynamics of nonconservative systems and establish links between approaches and methods developed in different areas of mechanics and physics and modern applied mathematics.
Dynamic Stability of Columns under Nonconservative Forces
Dynamic Stability of Columns under Nonconservative Forces - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Dynamic Stability of Columns under Nonconservative Forces write by Yoshihiko Sugiyama. This book was released on 2019-02-05. Dynamic Stability of Columns under Nonconservative Forces available in PDF, EPUB and Kindle. This book treats dynamic stability of structures under nonconservative forces. it is not a mathematics-based, but rather a dynamics-phenomena-oriented monograph, written with a full experimental background. Starting with fundamentals on stability of columns under nonconservative forces, it then deals with the divergence of Euler’s column under a dead (conservative) loading from a view point of dynamic stability. Three experiments with cantilevered columns under a rocket-based follower force are described to present the verifiability of nonconservative problems of structural stability. Dynamic stability of columns under pulsating forces is discussed through analog experiments, and by analytical and experimental procedures together with related theories. Throughout the volume the authors retain a good balance between theory and experiments on dynamic stability of columns under nonconservative loading, offering a new window to dynamic stability of structures, promoting student- and scientist-friendly experiments.
Stability of Discrete Non-conservative Systems
Stability of Discrete Non-conservative Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Stability of Discrete Non-conservative Systems write by Jean Lerbet. This book was released on 2020-11-27. Stability of Discrete Non-conservative Systems available in PDF, EPUB and Kindle. Stability of Discrete Non-conservative Systems first exposes the general concepts and results concerning stability issues. It then presents an approach of stability that is different from Lyapunov which leads to the second order work criterion. Thanks to the new concept of Kinematic Structural Stability, a complete equivalence between two approaches of stability is obtained for a divergent type of stability. Extensions to flutter instability, to continuous systems, and to the dual questions concerning the measure of non-conservativeness provides a full, fresh look at these fundamental questions. A special chapter is devoted to applications for granular systems. - Presents a structured review on stability questions - Provides analytical methods and key concepts that may be used in non-conservative frameworks like hypoelasticity
