Localized Dynamics of Thin-Walled Shells

Localized Dynamics of Thin-Walled Shells
Title Localized Dynamics of Thin-Walled Shells PDF eBook
Author Gennadi I. Mikhasev
Publisher CRC Press
Total Pages 350
Release 2020-04-21
Genre Mathematics
ISBN 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
Title Localized Dynamics of Thin-Walled Shells PDF eBook
Author Gennadi I. Mikhasev
Publisher CRC Press
Total Pages 220
Release 2020-04-17
Genre Mathematics
ISBN 1351630687

Download Localized Dynamics of Thin-Walled Shells Book in PDF, Epub and Kindle

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
Title Recent Approaches in the Theory of Plates and Plate-Like Structures PDF eBook
Author Holm Altenbach
Publisher Springer Nature
Total Pages 326
Release 2022-01-01
Genre Technology & Engineering
ISBN 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
Title Mathematical Models of Exoskeleton PDF eBook
Author Andrey Valerievich Borisov
Publisher Springer Nature
Total Pages 232
Release 2022-03-31
Genre Technology & Engineering
ISBN 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.

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

Contact Loading and Local Effects in Thin-walled Plated and Shell Structures
Title Contact Loading and Local Effects in Thin-walled Plated and Shell Structures PDF eBook
Author Vlastimil Krupka
Publisher Springer Science & Business Media
Total Pages 309
Release 2013-03-09
Genre Science
ISBN 3662028220

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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
Title Thermo-Dynamics of Plates and Shells PDF eBook
Author Jan Awrejcewicz
Publisher Springer Science & Business Media
Total Pages 785
Release 2007-02-15
Genre Technology & Engineering
ISBN 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.

Asymptotic Methods for Engineers

Asymptotic Methods for Engineers
Title Asymptotic Methods for Engineers PDF eBook
Author Igor V. Andrianov
Publisher CRC Press
Total Pages 265
Release 2024-05-16
Genre Mathematics
ISBN 1040032710

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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.).