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Nonclassical Thermoelastic Problems in Nonlinear Dynamics of Shells

Author: Jan Awrejcewicz

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 432

ISBN-13: 3642556779

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

Nonclassical Thermoelastic Problems in Nonlinear Dynamics of Shells

Author: Jan Awrejcewicz

Publisher:

Published: 2002-11-05

Total Pages: 444

ISBN-13: 9783642556784

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Elastic and Thermoelastic Problems in Nonlinear Dynamics of Structural Members

Author: Jan Awrejcewicz

Publisher: Springer Nature

Published: 2020-04-06

Total Pages: 615

ISBN-13: 303037663X

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Applied Mechanics Reviews

Author:

Publisher:

Published: 2004

Total Pages: 604

ISBN-13:

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Chaos in Structural Mechanics

Author: Jan Awrejcewicz

Publisher: Springer Science & Business Media

Published: 2009-11-11

Total Pages: 424

ISBN-13: 3540776761

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This volume introduces new approaches to modeling strongly nonlinear behaviour of structural mechanical units: beams, plates and shells or composite systems. The text draws on bifurcation theory and chaos, emphasizing control and stability of objects and systems.

Thermo-Dynamics of Plates and Shells

Author: Jan Awrejcewicz

Publisher: Springer Science & Business Media

Published: 2007-02-15

Total Pages: 785

ISBN-13: 3540342621

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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.

Nonlinear Dynamics of Continuous Elastic Systems

Author: Jan Awrejcewicz

Publisher: Springer Science & Business Media

Published: 2013-03-14

Total Pages: 351

ISBN-13: 3662089920

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This monograph is devoted to recent advances in nonlinear dynamics of continuous elastic systems. A major part of the book is dedicated to the analysis of non-homogeneous continua, e.g. plates and shells characterized by sudden changes in their thickness, possessing holes in their bodies or/and edges, made from different materials with diverse dynamical characteristics and complicated boundary conditions. New theoretical and numerical approaches for analyzing the dynamics of such continua are presented, such as the method of added masses and the method of proper orthogonal decomposition. The presented hybrid approach leads to results that cannot be obtained by other standard theories in the field. The demonstrated methods are illustrated by numerous examples of application.

Nonsmooth Dynamics of Contacting Thermoelastic Bodies

Author: Jan Awrejcewicz

Publisher: Springer Science & Business Media

Published: 2008-12-10

Total Pages: 256

ISBN-13: 0387096531

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This work is devoted to an intensive study in contact mechanics, treating the nonsmooth dynamics of contacting bodies. Mathematical modeling is illustrated and discussed in numerous examples of engineering objects working in different kinematic and dynamic environments. Topics covered in five self-contained chapters examine non-steady dynamic phenomena which are determined by key factors: i.e., heat conduction, thermal stresses, and the amount of wearing. New to this monograph is the importance of the inertia factor, which is considered on par with thermal stresses. Nonsmooth Dynamics of Contacting Thermoelastic Bodies is an engaging accessible practical reference for engineers (civil, mechanical, industrial) and researchers in theoretical and applied mechanics, applied mathematics, physicists, and graduate students.

Shell Structures: Theory and Applications (Vol. 2)

Author: Wojciech Pietraszkiewicz

Publisher: CRC Press

Published: 2009-09-22

Total Pages: 361

ISBN-13: 0203859766

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Shell Structures. Theory and Applications, Volume 2 contains 77 contributions from over 17 countries, reflecting a wide spectrum of scientific and engineering problems of shell structures. The papers are divided into six broad groups: 1. General lectures; 2. Theoretical modeling; 3. Stability; 4. Dynamics; 5. Numerical analysis; 6. Engineering

Mathematical Modelling and Numerical Analysis of Size-Dependent Structural Members in Temperature Fields

Author: Jan Awrejcewicz

Publisher: Springer Nature

Published: 2020-10-08

Total Pages: 419

ISBN-13: 3030559939

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This book is devoted to researchers and teachers, as well as graduate students, undergraduates and bachelors in engineering mechanics, nano-mechanics, nanomaterials, nanostructures and applied mathematics. It presents a collection of the latest developments in the field of nonlinear (chaotic) dynamics of mass distributed-parameter nanomechanical structures, providing a rigorous and comprehensive study of modeling nonlinear phenomena. It is written in a unique pedagogical style particularly suitable for independent study and self-education. In addition, the book achieves a good balance between Western and Eastern extensive studies of the mathematical problems of nonlinear vibrations of structural members.