Localized Dynamics of Thin-Walled Shells

Localized Dynamics of Thin-Walled Shells

Author: Gennadi I. Mikhasev

Publisher: CRC Press

Published: 2020-04-21

Total Pages: 367

ISBN-13: 1351630695

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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


Localized Dynamics of Thin-Walled Shells

Localized Dynamics of Thin-Walled Shells

Author: Gennadi I. Mikhasev

Publisher: CRC Press

Published: 2020-04-17

Total Pages: 371

ISBN-13: 1351630687

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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


Recent Approaches in the Theory of Plates and Plate-Like Structures

Recent Approaches in the Theory of Plates and Plate-Like Structures

Author: Holm Altenbach

Publisher: Springer Nature

Published: 2022-01-01

Total Pages: 326

ISBN-13: 3030871851

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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.


Mathematical Models of Exoskeleton

Mathematical Models of Exoskeleton

Author: Andrey Valerievich Borisov

Publisher: Springer Nature

Published: 2022-03-31

Total Pages: 232

ISBN-13: 3030977331

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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:

Publisher: Springer Nature

Published:

Total Pages: 665

ISBN-13: 3031729005

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Asymptotic Methods for Engineers

Asymptotic Methods for Engineers

Author: Igor V. Andrianov

Publisher: CRC Press

Published: 2024-05-20

Total Pages: 409

ISBN-13: 104003277X

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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.).


Stability and Vibrations of Thin-Walled Composite Structures

Stability and Vibrations of Thin-Walled Composite Structures

Author: Haim Abramovich

Publisher: Woodhead Publishing

Published: 2017-05-29

Total Pages: 772

ISBN-13: 008100429X

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Stability and Vibrations of Thin-Walled Composite Structures presents engineering and academic knowledge on the stability (buckling and post buckling) and vibrations of thin walled composite structures like columns, plates, and stringer stiffened plates and shells, which form the basic structures of the aeronautical and space sectors. Currently, this knowledge is dispersed in several books and manuscripts, covering all aspects of composite materials. The book enables both engineers and academics to locate valuable, up-to-date knowledge on buckling and vibrations, be it analytical or experimental, and use it for calculations or comparisons. The book is also useful as a textbook for advanced-level graduate courses. - Presents a unified, systematic, detailed and comprehensive overview of the topic - Contains contributions from leading experts in the field - Includes a dedicated section on testing and experimental results


Contact Loading and Local Effects in Thin-walled Plated and Shell Structures

Contact Loading and Local Effects in Thin-walled Plated and Shell Structures

Author: Vlastimil Krupka

Publisher: Springer

Published: 1992-08-21

Total Pages: 328

ISBN-13: 9783540535515

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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.


Thermo-Dynamics of Plates and Shells

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.


Recent Developments in the Theory of Shells

Recent Developments in the Theory of Shells

Author: Holm Altenbach

Publisher: Springer Nature

Published: 2019-09-25

Total Pages: 799

ISBN-13: 3030177475

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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.