Nonlinear Vibrations and Stability of Shells and Plates

Nonlinear Vibrations and Stability of Shells and Plates PDF

Author: Marco Amabili

Publisher: Cambridge University Press

Published: 2008-01-14

Total Pages: 391

ISBN-13: 1139469029

DOWNLOAD EBOOK →

This unique book explores both theoretical and experimental aspects of nonlinear vibrations and stability of shells and plates. It is ideal for researchers, professionals, students, and instructors. Expert researchers will find the most recent progresses in nonlinear vibrations and stability of shells and plates, including advanced problems of shells with fluid-structure interaction. Professionals will find many practical concepts, diagrams, and numerical results, useful for the design of shells and plates made of traditional and advanced materials. They will be able to understand complex phenomena such as dynamic instability, bifurcations, and chaos, without needing an extensive mathematical background. Graduate students will find (i) a complete text on nonlinear mechanics of shells and plates, collecting almost all the available theories in a simple form, (ii) an introduction to nonlinear dynamics, and (iii) the state of art on the nonlinear vibrations and stability of shells and plates, including fluid-structure interaction problems.

Vibration and Nonlinear Dynamics of Plates and Shells

Vibration and Nonlinear Dynamics of Plates and Shells PDF

Author: Meilan Liu

Publisher: Bentham Science Publishers

Published: 2014-03-25

Total Pages: 209

ISBN-13: 1608057712

DOWNLOAD EBOOK →

This e-book focuses on the vibrational and nonlinear aspects of plate and shell structure dynamics by applying the finite element model. Specifically, shell finite elements employed in the computational studies included in this book are the mixed formulation based lower order flat triangular shell finite elements. Topics in the book are covered over nine chapters, including the theoretical background for the vibration analysis of plates and shells, vibration analysis of plate structures, shells with single curvature, shells with double curvatures, and box structures (single-cell and double-cell) and the theoretical development for the nonlinear dynamic analysis of plate and shell structures. In addition to presenting the steps in the derivations of the consistent element stiffness and mass matrices, constitutive relations of elastic materials and elasto-plastic materials with isotropic strain hardening, yield criterion, return mapping, configuration and stress updating strategies, and numerical algorithms are presented and discussed. The book is a suitable reference for advanced undergraduates and post-graduate level engineering students, research engineers, and scientists working in the field of applied physics and engineering.

Nonlinear Mechanics of Shells and Plates in Composite, Soft and Biological Materials

Nonlinear Mechanics of Shells and Plates in Composite, Soft and Biological Materials PDF

Author: Marco Amabili

Publisher: Cambridge University Press

Published: 2018-11

Total Pages: 585

ISBN-13: 1107129222

DOWNLOAD EBOOK →

This book guides the reader into the modelling of shell structures in applications where advanced composite materials or complex biological materials must be described with great accuracy. A valuable resource for researchers, professionals and graduate students, it presents a variety of practical concepts, diagrams and numerical results.

Nonlinear Dynamics of Shells and Plates

Nonlinear Dynamics of Shells and Plates PDF

Author: M. P. Paidoussis

Publisher:

Published: 2000

Total Pages: 170

ISBN-13:

DOWNLOAD EBOOK →

The 15 papers reflect a reviving interest in the nonlinear dynamics of shells and panels, and to some degree of plate dynamics, funding for which dried up in the 1970s leaving some major questions still unresolved. The studies here take advantage of new numerical tools that make some things possible

Nonclassical Thermoelastic Problems in Nonlinear Dynamics of Shells

Nonclassical Thermoelastic Problems in Nonlinear Dynamics of Shells PDF

Author: Jan Awrejcewicz

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 432

ISBN-13: 3642556779

DOWNLOAD EBOOK →

From the reviews: "A unique feature of this book is the nice blend of engineering vividness and mathematical rigour. [...] The authors are to be congratulated for their valuable contribution to the literature in the area of theoretical thermoelasticity and vibration of plates." Journal of Sound and Vibration

Vibrations of Shells and Plates

Vibrations of Shells and Plates PDF

Author: Werner Soedel

Publisher: CRC Press

Published: 2004-08-11

Total Pages: 594

ISBN-13: 0203026306

DOWNLOAD EBOOK →

With increasingly sophisticated structures involved in modern engineering, knowledge of the complex vibration behavior of plates, shells, curved membranes, rings, and other complex structures is essential for today‘s engineering students, since the behavior is fundamentally different than that of simple structures such as rods and beams. Now in its

Nonlinear Vibration with Control

Nonlinear Vibration with Control PDF

Author: David Wagg

Publisher: Springer

Published: 2014-11-03

Total Pages: 461

ISBN-13: 3319106449

DOWNLOAD EBOOK →

This book provides a comprehensive discussion of nonlinear multi-modal structural vibration problems, and shows how vibration suppression can be applied to such systems by considering a sample set of relevant control techniques. It covers the basic principles of nonlinear vibrations that occur in flexible and/or adaptive structures, with an emphasis on engineering analysis and relevant control techniques. Understanding nonlinear vibrations is becoming increasingly important in a range of engineering applications, particularly in the design of flexible structures such as aircraft, satellites, bridges, and sports stadia. There is an increasing trend towards lighter structures, with increased slenderness, often made of new composite materials and requiring some form of deployment and/or active vibration control. There are also applications in the areas of robotics, mechatronics, micro electrical mechanical systems, non-destructive testing and related disciplines such as structural health monitoring. Two broader themes cut across these application areas: (i) vibration suppression – or active damping – and, (ii) adaptive structures and machines. In this expanded 2nd edition, revisions include: An additional section on passive vibration control, including nonlinear vibration mounts. A more in-depth description of semi-active control, including switching and continuous schemes for dampers and other semi-active systems. A complet e reworking of normal form analysis, which now includes new material on internal resonance, bifurcation of backbone curves and stability analysis of forced responses. Further analysis of the nonlinear dynamics of cables including internal resonance leading to whirling. Additional material on the vibration of systems with impact friction. The book is accessible to practitioners in the areas of application, as well as students and researchers working on related topics. In particular, the aim is to introduce the key concepts of nonlinear vibration to readers who have an understanding of linear vibration and/or linear control, but no specialist knowledge in nonlinear dynamics or nonlinear control.

Thin Plates and Shells

Thin Plates and Shells PDF

Author: Eduard Ventsel

Publisher: CRC Press

Published: 2001-08-24

Total Pages: 688

ISBN-13: 9780203908723

DOWNLOAD EBOOK →

Presenting recent principles of thin plate and shell theories, this book emphasizes novel analytical and numerical methods for solving linear and nonlinear plate and shell dilemmas, new theories for the design and analysis of thin plate-shell structures, and real-world numerical solutions, mechanics, and plate and shell models for engineering appli

Nonlinear Dynamics

Nonlinear Dynamics PDF

Author: Jan Awrejcewicz

Publisher: De Gruyter Akademie Forschung

Published: 1995

Total Pages: 420

ISBN-13:

DOWNLOAD EBOOK →

This book, which presents results in nonlinear dynamical systems from the physical and engineering sciences, has a fractal-like construction: Each of the 17 chapters reviews the present status of research activities from the field under consideration, first by providing the reader with an elementary introduction to the topic, then presenting the latest concepts, and finally introducing theoretical, computational or experimental results. The general construction of the book is also presented in a similar manner - starting with the outline of new theoretical achievements and finishing with various problems relevant to the fields of electrical and electronics engineering, mechanical engineering and biomechanical engineering. The new aspects and results found in the special systems taken from electrical, mechanical and biomechanical engineering enrich and increase the general level of understanding the dynamical behaviour of physical systems and show many of their universal properties.

Thermo-Dynamics of Plates and Shells

Thermo-Dynamics of Plates and Shells PDF

Author: Jan Awrejcewicz

Publisher: Springer Science & Business Media

Published: 2007-02-15

Total Pages: 785

ISBN-13: 3540342621

DOWNLOAD EBOOK →

This monograph is devoted to nonlinear dynamics of thin plates and shells with thermosensitive excitation. Because of the variety of sizes and types of mathematical models in current use, there is no prospect of solving them analytically. However, the book emphasizes a rigorous mathematical treatment of the obtained differential equations, since it helps efficiently in further developing of various suitable numerical algorithms to solve the stated problems.