The Dynamic Stability Analysis Of Nonconservative Mechanical Systems Via Variational Energetic Methods

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Analytical Mechanics: A Comprehensive Treatise On The Dynamics Of Constrained Systems (Reprint Edition)

Author : John G Papastavridis
Publisher : World Scientific
ISBN 13 : 9814590363
Total Pages : 1417 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Analytical Mechanics: A Comprehensive Treatise On The Dynamics Of Constrained Systems (Reprint Edition) by : John G Papastavridis

Download or read book Analytical Mechanics: A Comprehensive Treatise On The Dynamics Of Constrained Systems (Reprint Edition) written by John G Papastavridis and published by World Scientific. This book was released on 2014-03-06 with total page 1417 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a comprehensive, state-of-the-art, treatise on the energetic mechanics of Lagrange and Hamilton, that is, classical analytical dynamics, and its principal applications to constrained systems (contact, rolling, and servoconstraints). It is a book on advanced dynamics from a unified viewpoint, namely, the kinetic principle of virtual work, or principle of Lagrange. As such, it continues, renovates, and expands the grand tradition laid by such mechanics masters as Appell, Maggi, Whittaker, Heun, Hamel, Chetaev, Synge, Pars, Luré, Gantmacher, Neimark, and Fufaev. Many completely solved examples complement the theory, along with many problems (all of the latter with their answers and many of them with hints). Although written at an advanced level, the topics covered in this 1400-page volume (the most extensive ever written on analytical mechanics) are eminently readable and inclusive. It is of interest to engineers, physicists, and mathematicians; advanced undergraduate and graduate students and teachers; researchers and professionals; all will find this encyclopedic work an extraordinary asset; for classroom use or self-study. In this edition, corrections (of the original edition, 2002) have been incorporated.

Applied Mechanics Reviews

Author :
Publisher :
ISBN 13 :
Total Pages : 620 pages
Book Rating : 4.:/5 (26 download)

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Book Synopsis Applied Mechanics Reviews by :

Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1974 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Journal of Applied Mechanics

Author :
Publisher :
ISBN 13 :
Total Pages : 1228 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Journal of Applied Mechanics by :

Download or read book Journal of Applied Mechanics written by and published by . This book was released on 1983 with total page 1228 pages. Available in PDF, EPUB and Kindle. Book excerpt:

1989 IEEE International Symposium on Circuits and Systems

Author :
Publisher :
ISBN 13 :
Total Pages : 786 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis 1989 IEEE International Symposium on Circuits and Systems by :

Download or read book 1989 IEEE International Symposium on Circuits and Systems written by and published by . This book was released on 1989 with total page 786 pages. Available in PDF, EPUB and Kindle. Book excerpt:

International Aerospace Abstracts

Author :
Publisher :
ISBN 13 :
Total Pages : 490 pages
Book Rating : 4.3/5 (91 download)

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Download or read book International Aerospace Abstracts written by and published by . This book was released on 1995 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nonconservative Stability Problems of Modern Physics

Author : Oleg N. Kirillov
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110655403
Total Pages : 548 pages
Book Rating : 4.1/5 (16 download)

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Book Synopsis Nonconservative Stability Problems of Modern Physics by : Oleg N. Kirillov

Download or read book Nonconservative Stability Problems of Modern Physics written by Oleg N. Kirillov and published by Walter de Gruyter GmbH & Co KG. This book was released on 2021-03-08 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

First Parsons International Turbine Conference

Author : Charles Parsons
Publisher :
ISBN 13 :
Total Pages : 268 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis First Parsons International Turbine Conference by : Charles Parsons

Download or read book First Parsons International Turbine Conference written by Charles Parsons and published by . This book was released on 1984 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Engineering Mechanics in Civil Engineering

Author : American Society of Civil Engineers. Engineering Mechanics Division. Specialty Conference
Publisher :
ISBN 13 :
Total Pages : 770 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Engineering Mechanics in Civil Engineering by : American Society of Civil Engineers. Engineering Mechanics Division. Specialty Conference

Download or read book Engineering Mechanics in Civil Engineering written by American Society of Civil Engineers. Engineering Mechanics Division. Specialty Conference and published by . This book was released on 1984 with total page 770 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Stability and Bifurcation of Structures

Author : Angelo Luongo
Publisher : Springer Nature
ISBN 13 : 3031275721
Total Pages : 712 pages
Book Rating : 4.0/5 (312 download)

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Book Synopsis Stability and Bifurcation of Structures by : Angelo Luongo

Download or read book Stability and Bifurcation of Structures written by Angelo Luongo and published by Springer Nature. This book was released on 2023-06-27 with total page 712 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book overcomes the separation existing in literature between the static and the dynamic bifurcation worlds. It brings together buckling and post-buckling problems with nonlinear dynamics, the bridge being represented by the perturbation method, i.e., a mathematical tool that allows for solving static and dynamic problems virtually in the same way. The book is organized as follows: Chapter one gives an overview; Chapter two illustrates phenomenological aspect of static and dynamic bifurcations; Chapter three deals with linear stability analysis of dynamical systems; Chapter four and five discuss the general theory and present examples of buckling and post-buckling of elastic structures; Chapter six describes a linearized approach to buckling, usually adopted in the technical literature, in which pre-critical deformations are neglected; Chapters seven to ten, analyze elastic and elasto-plastic buckling of planar systems of beams, thin-walled beams and plate assemblies, respectively; Chapters eleven to thirteen, illustrate dynamic instability phenomena, such as flutter induced by follower forces, aeroelastic bifurcations caused by wind flow, and parametric excitation triggered by pulsating loads. Finally, Chapter fourteen discusses a large gallery of solved problems, concerning topics covered in the book. An Appendix presents the Vlasov theory of open thin-walled beams. The book is devoted to advanced undergraduate and graduate students, as well as engineers and practitioners. The methods illustrated here are immediately applicable to model real problems. The Book Introduces, in a simple way, complex concepts of bifurcation theory, by making use of elementary mathematics Gives a comprehensive overview of bifurcation of linear and nonlinear structures, in static and dynamic fields Contains a chapter in which many problems are solved, either analytically or numerically, and results commented

Harmonic Balance for Nonlinear Vibration Problems

Author : Malte Krack
Publisher : Springer
ISBN 13 : 3030140237
Total Pages : 167 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Harmonic Balance for Nonlinear Vibration Problems by : Malte Krack

Download or read book Harmonic Balance for Nonlinear Vibration Problems written by Malte Krack and published by Springer. This book was released on 2019-03-23 with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents an introduction to Harmonic Balance for nonlinear vibration problems, covering the theoretical basis, its application to mechanical systems, and its computational implementation. Harmonic Balance is an approximation method for the computation of periodic solutions of nonlinear ordinary and differential-algebraic equations. It outperforms numerical forward integration in terms of computational efficiency often by several orders of magnitude. The method is widely used in the analysis of nonlinear systems, including structures, fluids and electric circuits. The book includes solved exercises which illustrate the advantages of Harmonic Balance over alternative methods as well as its limitations. The target audience primarily comprises graduate and post-graduate students, but the book may also be beneficial for research experts and practitioners in industry.

Scientific and Technical Aerospace Reports

Author :
Publisher :
ISBN 13 :
Total Pages : 1004 pages
Book Rating : 4.X/5 (4 download)

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Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1975 with total page 1004 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Variational Principles in Classical Mechanics

Author : Douglas Cline
Publisher :
ISBN 13 : 9780998837277
Total Pages : pages
Book Rating : 4.8/5 (372 download)

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Book Synopsis Variational Principles in Classical Mechanics by : Douglas Cline

Download or read book Variational Principles in Classical Mechanics written by Douglas Cline and published by . This book was released on 2018-08 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Two dramatically different philosophical approaches to classical mechanics were proposed during the 17th - 18th centuries. Newton developed his vectorial formulation that uses time-dependent differential equations of motion to relate vector observables like force and rate of change of momentum. Euler, Lagrange, Hamilton, and Jacobi, developed powerful alternative variational formulations based on the assumption that nature follows the principle of least action. These variational formulations now play a pivotal role in science and engineering.This book introduces variational principles and their application to classical mechanics. The relative merits of the intuitive Newtonian vectorial formulation, and the more powerful variational formulations are compared. Applications to a wide variety of topics illustrate the intellectual beauty, remarkable power, and broad scope provided by use of variational principles in physics.The second edition adds discussion of the use of variational principles applied to the following topics:(1) Systems subject to initial boundary conditions(2) The hierarchy of related formulations based on action, Lagrangian, Hamiltonian, and equations of motion, to systems that involve symmetries.(3) Non-conservative systems.(4) Variable-mass systems.(5) The General Theory of Relativity.Douglas Cline is a Professor of Physics in the Department of Physics and Astronomy, University of Rochester, Rochester, New York.

Nonlinear Dynamics and Chaos

Author : Steven H. Strogatz
Publisher : CRC Press
ISBN 13 : 0429961111
Total Pages : 532 pages
Book Rating : 4.4/5 (299 download)

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Book Synopsis Nonlinear Dynamics and Chaos by : Steven H. Strogatz

Download or read book Nonlinear Dynamics and Chaos written by Steven H. Strogatz and published by CRC Press. This book was released on 2018-05-04 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors.

Mathematical Reviews

Author :
Publisher :
ISBN 13 :
Total Pages : 1852 pages
Book Rating : 4.X/5 (6 download)

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Download or read book Mathematical Reviews written by and published by . This book was released on 2005 with total page 1852 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Wave Dynamics and Composite Mechanics for Microstructured Materials and Metamaterials

Author : Mezhlum A. Sumbatyan
Publisher : Springer
ISBN 13 : 9811037973
Total Pages : 263 pages
Book Rating : 4.8/5 (11 download)

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Book Synopsis Wave Dynamics and Composite Mechanics for Microstructured Materials and Metamaterials by : Mezhlum A. Sumbatyan

Download or read book Wave Dynamics and Composite Mechanics for Microstructured Materials and Metamaterials written by Mezhlum A. Sumbatyan and published by Springer. This book was released on 2017-03-28 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume deals with topical problems concerning technology and design in construction of modern metamaterials. The authors construct the models of mechanical, electromechanical and acoustical behavior of the metamaterials, which are founded upon mechanisms existing on micro-level in interaction of elementary structures of the material. The empiric observations on the phenomenological level are used to test the created models. The book provides solutions, based on fundamental methods and models using the theory of wave propagation, nonlinear theories and composite mechanics for media with micro- and nanostructure. They include the models containing arrays of cracks, defects, with presence of micro- and nanosize piezoelectric elements and coupled physical-mechanical fields of different nature. The investigations show that the analytical, numerical and experimental methods permit evaluation of the qualitative and quantitative properties of the materials of this sort, with diagnosis of their effective characteristics, frequency intervals of effective energetic cutting and passing, as well as effective regimes of damage evaluation by the acoustic methods.

Physics Briefs

Author :
Publisher :
ISBN 13 :
Total Pages : 860 pages
Book Rating : 4.3/5 (91 download)

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Download or read book Physics Briefs written by and published by . This book was released on 1988 with total page 860 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nonholonomic Mechanics and Control

Author : A.M. Bloch
Publisher : Springer Science & Business Media
ISBN 13 : 0387216448
Total Pages : 498 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Nonholonomic Mechanics and Control by : A.M. Bloch

Download or read book Nonholonomic Mechanics and Control written by A.M. Bloch and published by Springer Science & Business Media. This book was released on 2008-02-03 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores connections between control theory and geometric mechanics. The author links control theory with a geometric view of classical mechanics in both its Lagrangian and Hamiltonian formulations, and in particular with the theory of mechanical systems subject to motion constraints. The synthesis is appropriate as there is a rich connection between mechanics and nonlinear control theory. The book provides a unified treatment of nonlinear control theory and constrained mechanical systems that incorporates material not available in other recent texts. The book benefits graduate students and researchers in the area who want to enhance their understanding and enhance their techniques.