Dynamic Stability and Bifurcation in Nonconservative Mechanics

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Release : 2018-07-09
Genre : Science
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Book Rating : 227/5 ( reviews)

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.

Nonconservative Stability Problems of Modern Physics

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Release : 2021-03-08
Genre : Science
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Book Rating : 403/5 ( reviews)

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.

Modern Trends in Structural and Solid Mechanics 1

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Release : 2021-06-29
Genre : Science
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Book Rating : 146/5 ( reviews)

Modern Trends in Structural and Solid Mechanics 1 - 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 Modern Trends in Structural and Solid Mechanics 1 write by Noel Challamel. This book was released on 2021-06-29. Modern Trends in Structural and Solid Mechanics 1 available in PDF, EPUB and Kindle. This book - comprised of three separate volumes - presents the recent developments and research discoveries in structural and solid mechanics; it is dedicated to Professor Isaac Elishakoff. This first volume is devoted to the statics and stability of solid and structural members. Modern Trends in Structural and Solid Mechanics 1 has broad scope, covering topics such as: buckling of discrete systems (elastic chains, lattices with short and long range interactions, and discrete arches), buckling of continuous structural elements including beams, arches and plates, static investigation of composite plates, exact solutions of plate problems, elastic and inelastic buckling, dynamic buckling under impulsive loading, buckling and post-buckling investigations, buckling of conservative and non-conservative systems and buckling of micro and macro-systems. This book is intended for graduate students and researchers in the field of theoretical and applied mechanics.

Elements of Applied Bifurcation Theory

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Release : 2013-03-09
Genre : Mathematics
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Book Rating : 788/5 ( reviews)

Elements of Applied Bifurcation Theory - 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 Elements of Applied Bifurcation Theory write by Yuri Kuznetsov. This book was released on 2013-03-09. Elements of Applied Bifurcation Theory available in PDF, EPUB and Kindle. Providing readers with a solid basis in dynamical systems theory, as well as explicit procedures for application of general mathematical results to particular problems, the focus here is on efficient numerical implementations of the developed techniques. The book is designed for advanced undergraduates or graduates in applied mathematics, as well as for Ph.D. students and researchers in physics, biology, engineering, and economics who use dynamical systems as model tools in their studies. A moderate mathematical background is assumed, and, whenever possible, only elementary mathematical tools are used. This new edition preserves the structure of the first while updating the context to incorporate recent theoretical developments, in particular new and improved numerical methods for bifurcation analysis.

Intermediate Dynamics for Engineers

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Release : 2020-01-30
Genre : Science
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Book Rating : 218/5 ( reviews)

Intermediate Dynamics for Engineers - 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 Intermediate Dynamics for Engineers write by Oliver M. O'Reilly. This book was released on 2020-01-30. Intermediate Dynamics for Engineers available in PDF, EPUB and Kindle. A fully updated second edition providing a systematic treatment of engineering dynamics that covers Newton-Euler and Lagrangian approaches. It includes two completely revised chapters, a 350-page solutions manual for instructors, and numerous structured examples and exercises, and is suitable for both senior-level and first-year graduate courses.