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Author: National Aeronautics and Space Administration (NASA)
Publisher: Createspace Independent Publishing Platform
ISBN: 9781722408596
Category :
Languages : en
Pages : 54
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Book Description
The method of matched asymptotic expansions is used to solve the transverse free vibration of a slightly curved, thin rectangular plate. Analytical results for natural frequencies and mode shapes are presented in the limit when the dimensionless bending rigidity, epsilon, is small compared with in-plane forces. Results for different boundary conditions are obtained when the initial deflection is: (1) a polynomial in both directions, and (2) the product of a polynomial and a trigonometric function, and arbitrary. For the arbitrary initial deflection case, the Fourier series technique is used to define the initial deflection. The results obtained show that the natural frequencies of vibration of slightly curved plates are coincident with those of perfectly flat, prestressed rectangular plates. However, the eigenmodes are very different from those of initially flat prestressed rectangular plates. The total deflection is found to be the sum of the initial deflection, the deflection resulting from the solution of the flat plate problem, and the deflection resulting from the static problem. Adeniji-Fashola, A. A. and Oyediran, A. A. Unspecified Center...
Author: National Aeronautics and Space Administration (NASA)
Publisher: Createspace Independent Publishing Platform
ISBN: 9781722408596
Category :
Languages : en
Pages : 54
Get Book Here
Book Description
The method of matched asymptotic expansions is used to solve the transverse free vibration of a slightly curved, thin rectangular plate. Analytical results for natural frequencies and mode shapes are presented in the limit when the dimensionless bending rigidity, epsilon, is small compared with in-plane forces. Results for different boundary conditions are obtained when the initial deflection is: (1) a polynomial in both directions, and (2) the product of a polynomial and a trigonometric function, and arbitrary. For the arbitrary initial deflection case, the Fourier series technique is used to define the initial deflection. The results obtained show that the natural frequencies of vibration of slightly curved plates are coincident with those of perfectly flat, prestressed rectangular plates. However, the eigenmodes are very different from those of initially flat prestressed rectangular plates. The total deflection is found to be the sum of the initial deflection, the deflection resulting from the solution of the flat plate problem, and the deflection resulting from the static problem. Adeniji-Fashola, A. A. and Oyediran, A. A. Unspecified Center...
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Category : Aeronautics
Languages : en
Pages : 956
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ISBN:
Category : Shock (Mechanics)
Languages : en
Pages : 452
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Book Description
Author: Souhir Zghal
Publisher: CRC Press
ISBN: 1040103243
Category : Design
Languages : en
Pages : 428
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Book Description
Functionally Graded Materials: Analysis and Applications to FGM, FG-CNTRC and FG Porous Structures aims to disseminates knowledge between users, manufacturers, designers, and researchers involved in structures or structural components manufactured using functionally graded materials. Despite a number of existing texts on the theory and analysis of plates and/or shells, there is not a single book that is devoted entirely to the analysis of functionally graded-based materials including FGMs, FG-CNTRCs and FG porous plates and shells. Functionally Graded Materials provides the reader with current research conducted in the field of composite materials, numerical simulations, computer methods and mechanical responses of structural components under different scenarios. This book is a valuable reference source for postgraduate students, engineers, scientists, professors, researchers, and applied mathematicians in this field.
Author:
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Category : Science
Languages : en
Pages : 1106
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Category : Government publications
Languages : en
Pages : 1632
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ISBN:
Category : Government publications
Languages : en
Pages : 1638
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Author: Marco Amabili
Publisher: Cambridge University Press
ISBN: 1139469029
Category : Science
Languages : en
Pages : 391
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Book Description
This unique book explores both theoretical and experimental aspects of nonlinear vibrations and stability of shells and plates. It is ideal for researchers, professionals, students, and instructors. Expert researchers will find the most recent progresses in nonlinear vibrations and stability of shells and plates, including advanced problems of shells with fluid-structure interaction. Professionals will find many practical concepts, diagrams, and numerical results, useful for the design of shells and plates made of traditional and advanced materials. They will be able to understand complex phenomena such as dynamic instability, bifurcations, and chaos, without needing an extensive mathematical background. Graduate students will find (i) a complete text on nonlinear mechanics of shells and plates, collecting almost all the available theories in a simple form, (ii) an introduction to nonlinear dynamics, and (iii) the state of art on the nonlinear vibrations and stability of shells and plates, including fluid-structure interaction problems.
Author: Muthukrishnan Sathyamoorthy
Publisher: CRC Press
ISBN: 1351359827
Category : Mathematics
Languages : en
Pages : 640
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Book Description
Nonlinear Analysis of Structures presents a complete evaluation of the nonlinear static and dynamic behavior of beams, rods, plates, trusses, frames, mechanisms, stiffened structures, sandwich plates, and shells. These elements are important components in a wide variety of structures and vehicles such as spacecraft and missiles, underwater vessels and structures, and modern housing. Today's engineers and designers must understand these elements and their behavior when they are subjected to various types of loads. Coverage includes the various types of nonlinearities, stress-strain relations and the development of nonlinear governing equations derived from nonlinear elastic theory. This complete guide includes both mathematical treatment and real-world applications, with a wealth of problems and examples to support the text. Special topics include a useful and informative chapter on nonlinear analysis of composite structures, and another on recent developments in symbolic computation. Designed for both self-study and classroom instruction, Nonlinear Analysis of Structures is also an authoritative reference for practicing engineers and scientists. One of the world's leaders in the study of nonlinear structural analysis, Professor Sathyamoorthy has made significant research contributions to the field of nonlinear mechanics for twenty-seven years. His foremost contribution to date has been the development of a unique transverse shear deformation theory for plates undergoing large amplitude vibrations and the examination of multiple mode solutions for plates. In addition to his notable research, Professor Sathyamoorthy has also developed and taught courses in the field at universities in India, Canada, and the United States.
Author: Marco Amabili
Publisher: Cambridge University Press
ISBN: 1107129222
Category : Mathematics
Languages : en
Pages : 585
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Book Description
This book guides the reader into the modelling of shell structures in applications where advanced composite materials or complex biological materials must be described with great accuracy. A valuable resource for researchers, professionals and graduate students, it presents a variety of practical concepts, diagrams and numerical results.
