Nonclassical Thermoelastic Problems In Nonlinear Dynamics Of Shells
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Nonclassical Thermoelastic Problems In Nonlinear Dynamics Of Shells
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Author : Jan Awrejcewicz
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Nonclassical Thermoelastic Problems In Nonlinear Dynamics Of Shells written by Jan Awrejcewicz and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Technology & Engineering categories.
This monograph describes some approaches to the nonlinear theory of plates and shells. By nonclassical approaches we mean the desciption of problems with mathematical models of different sizes (two-and three-dimensional dif ferential equations) and different types (differential equations of hyperbolic and parabolic type in the spatial coordinates). The nonlinearities investigated are also of various categories: geometrical, physical, elasto-plastic, and peri odic. Creating such types of mathematical models and their detailed justifica tion allows us to achieve the most accurate description of the real behaviour of shell-type structures. These models allow us to include interaction between the strain and temperature fields and coupling between the displacement field and the external influence of a transonic gas flow. The mathematical treatment of such models helps us greatly in obtaining reliable results by numerical computation. It appears that the most dangerous situation for thin shallow shells is the conjunction of a static load with dynamic interactions. Such combined loads very often cause buckling of shell structures, and in many cases a series of bucklings, which can cause fracture. The failure of a structure usually needs a small amount of time. Therefore the lifetime of a shell structure depends strongly on nonelastic deflections and it is important to mathematically model shell structures as precisely as possible. This monograph is one of several devoted to this subject. Now we shall briefly describe the contents of the book. Note that not all of the results presented here have been published in textbook format.
Nonclassical Thermoelastic Problems In Nonlinear Dynamics Of Shells
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Author : Jan Awrejcewicz
language : en
Publisher:
Release Date : 2002-11-05
Nonclassical Thermoelastic Problems In Nonlinear Dynamics Of Shells written by Jan Awrejcewicz and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-11-05 with categories.
Elastic And Thermoelastic Problems In Nonlinear Dynamics Of Structural Members
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Author : Jan Awrejcewicz
language : en
Publisher: Springer Nature
Release Date : 2020-04-06
Elastic And Thermoelastic Problems In Nonlinear Dynamics Of Structural Members written by Jan Awrejcewicz and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-04-06 with Science categories.
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
Applied Mechanics Reviews
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Author :
language : en
Publisher:
Release Date : 1966
Applied Mechanics Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1966 with Mechanics, Applied categories.
Thermo Dynamics Of Plates And Shells
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Author : Jan Awrejcewicz
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-02-15
Thermo Dynamics Of Plates And Shells written by Jan Awrejcewicz and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-02-15 with Technology & Engineering categories.
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.
Chaos In Structural Mechanics
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Author : Jan Awrejcewicz
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-11-11
Chaos In Structural Mechanics written by Jan Awrejcewicz and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-11-11 with Technology & Engineering categories.
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.
Nonsmooth Dynamics Of Contacting Thermoelastic Bodies
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Author : Jan Awrejcewicz
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-12-10
Nonsmooth Dynamics Of Contacting Thermoelastic Bodies written by Jan Awrejcewicz and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-12-10 with Mathematics categories.
In this work, methods of analysis and models of contacting systems dynamics, including heat generation and wear exhibited by such systems, are presented. It should be emphasised that the methods and mathematical models of contacting systems exhibited by rigid/elastic bodies and heat/wear processes have been so far applied separately. Tribological processes occurring on a contact surface were not taken into consideration in the analysis of the dynamic rigid or elastic body models. On the other hand, most of the introduced models of bodies in contact that took tribological e?ects into consideration did not allow for their inertia analysis. This study contributes to the development of this ?eld, as the models presented here yield prediction of the behaviour of contacting systems taking into account both mentioned aspects simultaneously. When considered from the mathematical point of view, the method of analysis is reduced to the solution of the system of di?erential equations describing the velocities of contacting bodies and Volterra integral equation modelling contact pressure. The latter equation is obtained with the use of the Laplace integral transform.
Shell Structures Theory And Applications
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Author : Wojciech Pietraszkiewicz
language : en
Publisher: CRC Press
Release Date : 2005-09-22
Shell Structures Theory And Applications written by Wojciech Pietraszkiewicz and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-09-22 with Technology & Engineering categories.
Shells are basic structural elements of modern technology. Examples of shell structures include automobile bodies, domes, water and oil tanks, pipelines, ship hulls, aircraft fuselages, turbine blades, laudspeaker cones, but also balloons, parachutes, biological membranes, a human skin, a bottle of wine or a beer can. This volume contains full texts of over 100 papers presented by specialists from over 20 countries at the 8th Conference "Shell Structures: Theory and Applications", 12-14 October, 2005 in Jurata (Poland). The aim of the meeting was to bring together scientists, designers, engineers and other specialists in shell structures in order to discuss important results and new ideas in this field. The goal is to pursue more accurate theoretical models, to develop more powerful and versatile methods of analysis, and to disseminate expertise in design and maintenance of shell structures. Among the authors there are many distinguished specialists of shell structures, including the authors of general lectures: I.V. Andrianov (Ukraine), V.A. Eremeyev (Russia), A. Ibrahimbegovic (France), P. Klosowski (Poland), B.H. Kröplin (Germany), E. Ramm (Germany), J.M. Rotter (UK) and D. Steigmann (USA). The subject area of the papers covers various theoretical models and numerical analyses of strength, dynamics, stability, optimization etc. of different types of shell structures, their design and maintenance, as well as modelling of some surface-related mechanical phenomena.
Shell Structures Theory And Applications Vol 2
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Author : Wojciech Pietraszkiewicz
language : en
Publisher: CRC Press
Release Date : 2009-09-22
Shell Structures Theory And Applications Vol 2 written by Wojciech Pietraszkiewicz and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-09-22 with Technology & Engineering categories.
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
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Author : Jan Awrejcewicz
language : en
Publisher: Springer Nature
Release Date : 2020-10-08
Mathematical Modelling And Numerical Analysis Of Size Dependent Structural Members In Temperature Fields written by Jan Awrejcewicz and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-08 with Technology & Engineering categories.
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.