Localized Dynamics Of Thin Walled Shells

Author : Gennadi I. Mikhasev,Petr E. Tovstik
Publisher : CRC Press
Page : 350 pages
File Size : 43,8 Mb
Release : 2020-04-21
Category : Mathematics
ISBN : 9781351630696

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Localized Dynamics of Thin-Walled Shells by Gennadi I. Mikhasev,Petr E. Tovstik Pdf

Localized Dynamics of Thin-Walled Shells focuses on localized vibrations and waves in thin-walled structures with variable geometrical and physical characteristics. It emphasizes novel asymptotic methods for solving boundary-value problems for dynamic equations in the shell theory, in the form of functions which are highly localized near both fixed and moving lines/points on the shell surface. Features First-of-its-kind work, synthesizing knowledge of the localization of vibrations and waves in thin-walled shells with a mathematical tool to study them Suitable for researchers working on the dynamics of thin shells and also as supplementary reading for undergraduates studying asymptotic methods Offers detailed analysis of wave processes in shells with varying geometric and physical parameters

Author : Gennadi I. Mikhasev,Petr E. Tovstik
Publisher : CRC Press
Page : 220 pages
File Size : 51,8 Mb
Release : 2020-04-17
Category : Mathematics
ISBN : 9781351630689

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Localized Dynamics of Thin-Walled Shells by Gennadi I. Mikhasev,Petr E. Tovstik Pdf

Localized Dynamics of Thin-Walled Shells focuses on localized vibrations and waves in thin-walled structures with variable geometrical and physical characteristics. It emphasizes novel asymptotic methods for solving boundary-value problems for dynamic equations in the shell theory, in the form of functions which are highly localized near both fixed and moving lines/points on the shell surface. Features First-of-its-kind work, synthesizing knowledge of the localization of vibrations and waves in thin-walled shells with a mathematical tool to study them Suitable for researchers working on the dynamics of thin shells and also as supplementary reading for undergraduates studying asymptotic methods Offers detailed analysis of wave processes in shells with varying geometric and physical parameters

Author : Holm Altenbach,Svetlana Bauer,Victor A. Eremeyev,Gennadi I. Mikhasev,Nikita F. Morozov
Publisher : Springer Nature
Page : 326 pages
File Size : 46,9 Mb
Release : 2022-01-01
Category : Technology & Engineering
ISBN : 9783030871857

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Recent Approaches in the Theory of Plates and Plate-Like Structures by Holm Altenbach,Svetlana Bauer,Victor A. Eremeyev,Gennadi I. Mikhasev,Nikita F. Morozov Pdf

This book presents the various approaches in establishment the basic equations of one- and two-dimensional structural elements. In addition, the boundaries of validity of the theories and the estimation of errors in approximate theories are given. Many contributions contain not only new theories, but also new applications, which makes the book interesting for researcher and graduate students.

Author : Andrey Valerievich Borisov,Anatoly Vlasovich Chigarev
Publisher : Springer Nature
Page : 232 pages
File Size : 44,6 Mb
Release : 2022-03-31
Category : Technology & Engineering
ISBN : 9783030977337

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Mathematical Models of Exoskeleton by Andrey Valerievich Borisov,Anatoly Vlasovich Chigarev Pdf

This book presents the current state of the problem of describing the musculoskeletal system of a person. Models of the destruction of the endoskeleton and the restoration of its functions using exoskeleton are presented. A description is given of new approaches to modeling based on the use of weightless rods of variable length with concentrated masses. The practical application to the tasks of numerical simulation of the movements of the musculoskeletal system of a person is described. Exoskeleton models with variable-length units based on absolutely hard sections and sections that change their telescopic type length have been developed. The book is intended for specialists in the field of theoretical mechanics, biomechanics, robotics and related fields. The book will be useful to teachers, as well as graduate students, undergraduates and senior students of higher educational institutions, whose research interests lie in the modeling of anthropomorphic biomechanical systems.

Author : Vlastimil Krupka,Milos Drdacky
Publisher : Springer Science & Business Media
Page : 309 pages
File Size : 55,9 Mb
Release : 2013-03-09
Category : Science
ISBN : 9783662028223

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Contact Loading and Local Effects in Thin-walled Plated and Shell Structures by Vlastimil Krupka,Milos Drdacky Pdf

The work summarizes theoretical and experimental investigations of real loading conditions of thin-walled plated and shell structures under loads concentrated on parts of their surface. There are presented more accurate and improved models of strain or stress distribution under patch loads considering geometrical and material nonlinearity in connection with stability problems and fatigue damage of studied structural types. The results of these investigations are of particular importance in the design and safety verification of many engineering structures, e.g. plate girders subjected to partial edge loading, closures of fuel tanks, footings and sadles of pressure vessels, reservoirs and pipelines.

Author : Jan Awrejcewicz,Vadim Anatolevich Krys'ko,Anton V. Krys'ko
Publisher : Springer Science & Business Media
Page : 785 pages
File Size : 47,7 Mb
Release : 2007-02-15
Category : Technology & Engineering
ISBN : 9783540342625

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Thermo-Dynamics of Plates and Shells by Jan Awrejcewicz,Vadim Anatolevich Krys'ko,Anton V. Krys'ko Pdf

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.

Author : Igor V. Andrianov,Jan Awrejcewicz
Publisher : CRC Press
Page : 265 pages
File Size : 43,7 Mb
Release : 2024-05-16
Category : Mathematics
ISBN : 9781040032718

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Asymptotic Methods for Engineers by Igor V. Andrianov,Jan Awrejcewicz Pdf

Asymptotic Methods for Engineers is based on the authors’ many years of practical experience in the application of asymptotic methods to solve engineering problems. This book is devoted to modern asymptotic methods (AM), which is widely used in engineering, applied sciences, physics, and applied mathematics. Avoiding complex formal calculations and justifications, the book’s main goal is to describe the main ideas and algorithms. Moreover, not only is there a presentation of the main AM, but there is also a focus on demonstrating their unity and inseparable connection with the methods of summation and asymptotic interpolation. The book will be useful for students and researchers from applied mathematics and physics and of interest to doctoral and graduate students, university and industry professors from various branches of engineering (mechanical, civil, electro-mechanical, etc.).

Author : Holm Altenbach,Jacek Chróścielewski,Victor A. Eremeyev,Krzysztof Wiśniewski
Publisher : Springer Nature
Page : 798 pages
File Size : 41,9 Mb
Release : 2019-09-25
Category : Technology & Engineering
ISBN : 9783030177478

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Recent Developments in the Theory of Shells by Holm Altenbach,Jacek Chróścielewski,Victor A. Eremeyev,Krzysztof Wiśniewski Pdf

This book commemorates the 80th birthday of Prof. W. Pietraszkiewicz, a prominent specialist in the field of general shell theory. Reflecting Prof. Pietraszkiewicz’s focus, the respective papers address a range of current problems in the theory of shells. In addition, they present other structural mechanics problems involving dimension-reduced models. Lastly, several applications are discussed, including material models for such dimension-reduced structures.

Author : Gennadi I. Mikhasev,Holm Altenbach
Publisher : Springer
Page : 280 pages
File Size : 53,6 Mb
Release : 2019-04-29
Category : Science
ISBN : 9783030127619

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Thin-walled Laminated Structures by Gennadi I. Mikhasev,Holm Altenbach Pdf

This book presents a theoretical approach that allows the analysis of structures with magnetorheological and electrorheological layers, and shows, with the help of examples, how the mechanical behaviour of thin-walled laminated structures can be influenced. It consists of six chapters: Chapter 1 presents a brief overview of derivation approaches for theories of thin-walled structures, modelling of composites and modelling of laminated and sandwich structures. Chapter 2 describes the equivalent single layer model for thin laminated cylindrical shells, including the special cases of plates and beams. In addition to the classical mechanical properties, it also considers the electrorheological and magnetorheological properties. Chapter 3 presents the elastic buckling of laminated beams, plates, and cylindrical shells, discussing various problems, such as the influence of the boundary conditions, external loading and magnetic fields. It also suggests different approximations for asymptotic methods. Chapter 4 focuses on the free vibrations of elastic laminated beams, plates and cylindrical shells, investigating the influence of the boundary conditions and other factors. Chapter 5 presents the latest results concerning vibration of laminated structures composed of smart materials and discusses in detail the influence of electric and magnetic fields on smart structures. These results provide insights into the optimal design of these structures. Lastly, Chapter 6 features a short appendix presenting asymptotic estimates and series.

Author : Francis C. Moon
Publisher : Springer Science & Business Media
Page : 559 pages
File Size : 48,5 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9789401153201

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IUTAM Symposium on New Applications of Nonlinear and Chaotic Dynamics in Mechanics by Francis C. Moon Pdf

This book presents the latest research results in the area of applied nonlinear dynamics and chaos theory. Papers by three academic generations address new applications of nonlinear dynamics to mechanics, including fluid-structure interaction, machining and mechanics of solids, and many other applications.

Author : Anthony E. Armenàkas,Denos C. Gazis,George Herrmann
Publisher : Elsevier
Page : 225 pages
File Size : 48,5 Mb
Release : 2013-10-22
Category : Technology & Engineering
ISBN : 9781483158617

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Free Vibrations of Circular Cylindrical Shells by Anthony E. Armenàkas,Denos C. Gazis,George Herrmann Pdf

Free Vibrations of Circular Cylindrical Shells deals with thin-walled structures that undergo dynamic loads application, thereby resulting in some vibrations. Part I discusses the treatment of problems associated with the propagation of plane harmonic waves in a hollow circular cylinder. In such search for solutions, the text employs the framework of the three-dimensional theory of elasticity. The text explains the use of tables of natural frequencies and graphs of representative mode shapes of harmonic elastic waves bounding in an infinitely long isotropic hollow cylinder. The tables are found to be useful as they can be used to check validity and provide estimates of the range of applicability of various shell theories. The purpose of the frequency equation and that of the numerical computations likewise are considered. The book includes a computer program written in the FORTRAN language to show how it is used in the computations, except in cases when H (the thickness of shell) and L (axial half of wavelength) result in extremely small values. Part II consists of related tables and graphs. Physicists, engineers, students, and researchers in advanced sciences will find this book of interest.

Author : Anonim
Publisher : Unknown
Page : 384 pages
File Size : 50,9 Mb
Release : 1988
Category : Mechanics, Applied
ISBN : OSU:32435026160754

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Applied Mechanics Reviews by Anonim Pdf

Author : Anatoliĭ Isakovich Lurʹe
Publisher : Unknown
Page : 228 pages
File Size : 50,5 Mb
Release : 1959
Category : Elastic plates and shells
ISBN : SRLF:AA0001444173

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Statics of Thin-walled Elastic Shells by Anatoliĭ Isakovich Lurʹe Pdf

Author : Wojciech Pietraszkiewicz,Wojciech Witkowski
Publisher : CRC Press
Page : 574 pages
File Size : 54,7 Mb
Release : 2017-10-30
Category : Technology & Engineering
ISBN : 9781351680486

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Shell Structures: Theory and Applications Volume 4 by Wojciech Pietraszkiewicz,Wojciech Witkowski Pdf

Shells are basic structural elements of modern technology and everyday life. Examples of shell structures in technology include automobile bodies, water and oil tanks, pipelines, silos, wind turbine towers, and nanotubes. Nature is full of living shells such as leaves of trees, blooming flowers, seashells, cell membranes or wings of insects. In the human body arteries, the eye shell, the diaphragm, the skin and the pericardium are all shells as well. Shell Structures: Theory and Applications, Volume 4 contains 132 contributions presented at the 11th Conference on Shell Structures: Theory and Applications (Gdansk, Poland, 11-13 October 2017). The papers reflect a wide spectrum of scientific and engineering problems from theoretical modelling through strength, stability and dynamic behaviour, numerical analyses, biomechanic applications up to engineering design of shell structures. Shell Structures: Theory and Applications, Volume 4 will be of interest to academics, researchers, designers and engineers dealing with modelling and analyses of shell structures. It may also provide supplementary reading to graduate students in Civil, Mechanical, Naval and Aerospace Engineering.

Author : Holm Altenbach,Svetlana M. Bauer,Alexander K. Belyaev,Dmitri A. Indeitsev,Valery P. Matveenko,Yuri V. Petrov
Publisher : Springer Nature
Page : 302 pages
File Size : 42,5 Mb
Release : 2022-11-08
Category : Technology & Engineering
ISBN : 9783031183935

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Advances in Solid and Fracture Mechanics by Holm Altenbach,Svetlana M. Bauer,Alexander K. Belyaev,Dmitri A. Indeitsev,Valery P. Matveenko,Yuri V. Petrov Pdf

This book presents a collection of articles reporting the current challenges in solid and fracture mechanics. The book is devoted to the 90th birthday of academician Nikita F. Morozov—a well-known specialist in the field of solid and fracture mechanics.